Last update:
Thu Oct 19 06:37:28 MDT 2023
J. L. Lisani and
L. Moisan and
P. Monasse and
J. M. Morel On the Theory of Planar Shape . . . . . 1--24
Martin Kröger and
Igor Stankovic and
Siegfried Hess Towards Multiscale Modeling of Metals
via Embedded Particle Computer
Simulation . . . . . . . . . . . . . . . 25--39
Igor Jankovic and
Aldo Fiori and
Gedeon Dagan Effective Conductivity of an Isotropic
Heterogeneous Medium of Lognormal
Conductivity Distribution . . . . . . . 40--56
Antonio DeSimone and
Robert V. Kohn and
Stefan Müller and
Felix Otto Repulsive Interaction of Néel Walls, and
the Internal Length Scale of the
Cross-Tie Wall . . . . . . . . . . . . . 57--104
Alexandre J. Chorin Conditional Expectations and
Renormalization . . . . . . . . . . . . 105--118
William D. Henshaw and
Heinz-Otto Kreiss and
Jacob Yström Numerical Experiments on the Interaction
Between the Large- and Small-Scale
Motions of the Navier--Stokes Equations 119--149
Russel E. Caflisch and
Bo Li Analysis of Island Dynamics in Epitaxial
Growth of Thin Films . . . . . . . . . . 150--171
Alfio Quarteroni and
Alessandro Veneziani Analysis of a Geometrical Multiscale
Model Based on the Coupling of ODE and
PDE for Blood Flow Simulations . . . . . 173--195
Tianfeng Chai and
Ching-Long Lin Estimation of Turbulent Viscosity and
Diffusivity in Adjoint Recovery of
Atmospheric Boundary Layer Flow
Structures . . . . . . . . . . . . . . . 196--220
Malte Braack and
Alexandre Ern A Posteriori Control of Modeling Errors
and Discretization Errors . . . . . . . 221--238
J.-P. Fouque and
K. Solna Time-Reversal Aperture Enhancement . . . 239--259
Zhiming Chen and
Xinye Yue Numerical Homogenization of Well
Singularities in the Flow Transport
through Heterogeneous Porous Media . . . 260--303
K. Aoki and
P. Degond Homogenization of a Flow in a Periodic
Channel of Small Section . . . . . . . . 304--334
Habib Ammari and
Hyeonbae Kang Properties of the Generalized
Polarization Tensors . . . . . . . . . . 335--348
Stanley Osher and
Andrés Solé and
Luminita Vese Image Decomposition and Restoration
Using Total Variation Minimization and
the $ H^1 $ . . . . . . . . . . . . . . 349--370
Markus Hütter Solidification in Closed Systems:
Cluster Size Distribution and Its
Driving Force . . . . . . . . . . . . . 371--390
Ju Li and
Panayotis G. Kevrekidis and
C. William Gear and
Ioannis G. Kevrekidis Deciding the Nature of the Coarse
Equation through Microscopic
Simulations: The Baby-Bathwater Scheme 391--407
Sabine Attinger and
Jiva Dimitrova Micha and
Wolfgang Kinzelbach Multiscale Modeling of Nonlinearly
Adsorbing Solute Transport . . . . . . . 408--431
Alain Bourgeat and
Olivier Gipouloux and
Eduard Marusic-Paloka Filtration Law for Polymer Flow Through
Porous Media . . . . . . . . . . . . . . 432--457
James Glimm and
Hyeonseong Jin and
Marc Laforest and
Folkert Tangerman and
Yongmin Zhang A Two Pressure Numerical Model of Two
Fluid Mixing . . . . . . . . . . . . . . 458--484
Giancarlo Sangalli Capturing Small Scales in Elliptic
Problems Using a Residual-Free Bubbles
Finite Element Method . . . . . . . . . 485--503
Y. Efendiev and
L. J. Durlofsky A Generalized Convection-Diffusion Model
for Subgrid Transport in Porous Media 504--526
G. A. Pavliotis and
A. M. Stuart White Noise Limits for Inertial
Particles in a Random Field . . . . . . 527--553
Jim Nolen and
Jack Xin Reaction--Diffusion Front Speeds in
Spatially-Temporally Periodic Shear
Flows . . . . . . . . . . . . . . . . . 554--570
Alexander Mielke and
Tomás Roubícek A Rate-Independent Model for Inelastic
Behavior of Shape-Memory Alloys . . . . 571--597
Kenneth D. Jarman and
Thomas F. Russell Eulerian Moment Equations for $2$-D
Stochastic Immiscible Flow . . . . . . . 598--608
Jean-Pierre Fouque and
André Nachbin Time-Reversed Refocusing of Surface
Water Waves . . . . . . . . . . . . . . 609--629
Gastão A. Braga and
Frederico Furtado and
Jussara M. Moreira and
Leonardo T. Rolla Renormalization Group Analysis of
Nonlinear Diffusion Equations with
Periodic Coefficients . . . . . . . . . 630--644
Yehuda Koren and
Liran Carmel and
David Harel Drawing Huge Graphs by Algebraic
Multigrid Optimization . . . . . . . . . 645--673
Stathis Filippas and
George N. Makrakis Semiclassical Wigner Function and
Geometrical Optics . . . . . . . . . . . 674--710
Qun Ma and
Jesús A. Izaguirre Targeted Mollified Impulse: a Multiscale
Stochastic Integrator for Long Molecular
Dynamics Simulations . . . . . . . . . . 1--21
Jean-Pierre Fouque and
George Papanicolaou and
Ronnie Sircar and
Knut Solna Multiscale Stochastic Volatility
Asymptotics . . . . . . . . . . . . . . 22--42
D. Armbruster and
D. Marthaler and
C. Ringhofer Kinetic and Fluid Model Hierarchies for
Supply Chains . . . . . . . . . . . . . 43--61
Yalchin Efendiev and
Alexander Pankov Numerical Homogenization of Monotone
Elliptic Operators . . . . . . . . . . . 62--79
Coloma Ballester and
Vicent Caselles and
Joan Verdera Disocclusion by Joint Interpolation of
Vector Fields and Gray Levels . . . . . 80--123
Pierre Charrier and
Bruno Dubroca Asymptotic Transport Models for Heat and
Mass Transfer in Reactive Porous Media 124--157
Pierre Degond and
Céline Parzani and
Marie-Hél\`ene Vignal Plasma Expansion in Vacuum: Modeling the
Breakdown of Quasi Neutrality . . . . . 158--178
Vicent Caselles and
Guillermo Sapiro and
Andrés Solé and
Coloma Ballester Morse Description and Morphological
Encoding of Continuous Data . . . . . . 179--209
Weizhu Bao Ground States and Dynamics of
Multicomponent Bose--Einstein
Condensates . . . . . . . . . . . . . . 210--236
Y. Efendiev and
A. Pankov Numerical Homogenization of Nonlinear
Random Parabolic Operators . . . . . . . 237--268
Jens Eberhard and
Sabine Attinger and
Gabriel Wittum Coarse Graining for Upscaling of Flow in
Heterogeneous Porous Media . . . . . . . 269--301
John H. Cushman and
Lynn S. Bennethum and
Pawan P. Singh Toward Rational Design of Drug Delivery
Substrates: I. Mixture Theory for
Two-Scale Biocompatible Polymers . . . . 302--334
John H. Cushman and
Pawan P. Singh and
Lynn S. Bennethum Toward Rational Design of Drug Delivery
Substrates: II. Mixture Theory for
Three-Scale Biocompatible Polymers and a
Computational Example . . . . . . . . . 335--357
Michel Lenczner and
Denis Mercier Homogenization of Periodic Electrical
Networks Including Voltage to Current
Amplifiers . . . . . . . . . . . . . . . 359--397
Guillaume Bal On the Self-Averaging of Wave Energy in
Random Media . . . . . . . . . . . . . . 398--420
Jorg E. Aarnes On the Use of a Mixed Multiscale Finite
Element Method for Greater Flexibility
and Increased Speed or Improved Accuracy
in Reservoir Simulation . . . . . . . . 421--439
Roger Filliger Discrete Derivation of Ruijgrok and Wu's
Nonlinear Two-Velocity Boltzmann Model
with an Application to Traffic-Flow
Modelling . . . . . . . . . . . . . . . 440--451
Hector D. Ceniceros and
Glenn H. Fredrickson Numerical Solution of Polymer
Self-Consistent Field Theory . . . . . . 452--474
Rahul V. Magan and
Radhakrishna Sureshkumar A Multiscale-Linking Algorithm for the
Simulation of Irreversible Deposition 475--500
Christof Schütte and
Jessika Walter and
Carsten Hartmann and
Wilhelm Huisinga An Averaging Principle for Fast Degrees
of Freedom Exhibiting Long-Term
Correlations . . . . . . . . . . . . . . 501--526
Elizabeth Villa and
Alexander Balaeff and
L. Mahadevan and
Klaus Schulten Multiscale Method for Simulating
Protein-DNA Complexes . . . . . . . . . 527--553
Eitan Tadmor and
Suzanne Nezzar and
Luminita Vese A Multiscale Image Representation Using
Hierarchical $ ({\rm BV}, L^2) $
Decompositions . . . . . . . . . . . . . 554--579
Panagiotis Stinis Stochastic Optimal Prediction for the
Kuramoto--Sivashinsky Equation . . . . . 580--612
Antonios Zagaris and
Hans G. Kaper and
Tasso J. Kaper Fast and Slow Dynamics for the
Computational Singular Perturbation
Method . . . . . . . . . . . . . . . . . 613--638
Guillaume Bal and
Ramón Verástegui Time Reversal in Changing Environments 639--661
Dongbin Xiu and
Daniel M. Tartakovsky A Two-Scale Nonperturbative Approach to
Uncertainty Analysis of Diffusion in
Random Composites . . . . . . . . . . . 662--674
Christof Eck Homogenization of a Phase Field Model
for Binary Mixtures . . . . . . . . . . 1--27
Christof Eck Analysis of a Two-Scale Phase Field
Model for Liquid-Solid Phase Transitions
with Equiaxed Dendritic Microstructure 28--49
P. Jenny and
S. H. Lee and
H. A. Tchelepi Adaptive Multiscale Finite-Volume Method
for Multiphase Flow and Transport in
Porous Media . . . . . . . . . . . . . . 50--64
Alina Chertock and
Doron Levy On Wavelet-Based Numerical
Homogenization . . . . . . . . . . . . . 65--88
Andreas Degenhard and
Javier Rodríguez-Laguna and
Silvia N. Santalla Density Matrix Renormalization Group
Approach to Nonequilibrium Phenomena . . 89--105
Nicholas N. Bennett and
Alberto Malinverno Fast Model Updates Using Wavelets . . . 106--130
Yu Zou and
Roger Ghanem A Multiscale Data Assimilation with the
Ensemble Kalman Filter . . . . . . . . . 131--150
Tony Shardlow Nucleation of Waves in Excitable Media
by Noise . . . . . . . . . . . . . . . . 151--167
Viet Ha Hoang and
Christoph Schwab High-Dimensional Finite Elements for
Elliptic Problems with Multiple Scales 168--194
Assyr Abdulle and
Christoph Schwab Heterogeneous Multiscale FEM for
Diffusion Problems on Rough Surfaces . . 195--220
Henning Struchtrup Derivation of $ 13 $ Moment Equations
for Rarefied Gas Flow to Second Order
Accuracy for Arbitrary Interaction
Potentials . . . . . . . . . . . . . . . 221--243
Mark Alber and
Thomas Hou and
James A. Glazier and
Yi Jiang Special Issue on Multiscale Modeling in
Biology . . . . . . . . . . . . . . . . xii--xiii
K. Tsaneva-Atanasova and
T. J. Shuttleworth and
D. I. Yule and
J. L. Thompson and
J. Sneyd Calcium Oscillations and Membrane
Transport: The Importance of Two Time
Scales . . . . . . . . . . . . . . . . . 245--264
K. H. W. J. ten Tusscher and
A. V. Panfilov Wave Propagation in Excitable Media with
Randomly Distributed Obstacles . . . . . 265--282
Charles R. Doering and
Khachik V. Sargsyan and
Leonard M. Sander Extinction Times for Birth-Death
Processes: Exact Results, Continuum
Asymptotics, and the Failure of the
Fokker--Planck Approximation . . . . . . 283--299
John M. Murray and
Alan S. Perelson Human Immunodeficiency Virus:
Quasi-Species and Drug Resistance . . . 300--311
David Gammack and
Suman Ganguli and
Simeone Marino and
Jose Segovia-Juarez and
Denise E. Kirschner Understanding the Immune Response in
Tuberculosis Using Different
Mathematical Models and Biological
Scales . . . . . . . . . . . . . . . . . 312--345
Henrik Jönsson and
Andre Levchenko An Explicit Spatial Model of Yeast
Microcolony Growth . . . . . . . . . . . 346--361
Radek Erban and
Hans G. Othmer From Signal Transduction to Spatial
Pattern Formation in \em E. coli: a
Paradigm for Multiscale Modeling in
Biology . . . . . . . . . . . . . . . . 362--394
H. T. Banks and
Gabriella A. Pinter A Probabilistic Multiscale Approach to
Hysteresis in Shear Wave Propagation in
Biotissue . . . . . . . . . . . . . . . 395--412
B. Rubinstein and
K. Jacobson and
A. Mogilner Multiscale Two-Dimensional Modeling of a
Motile Simple-Shaped Cell . . . . . . . 413--439
T. Alarcón and
H. M. Byrne and
P. K. Maini A Multiple Scale Model for Tumor Growth 440--475
S. E. Golowich and
M. I. Weinstein Scattering Resonances of Microstructures
and Homogenization Theory . . . . . . . 477--521
Albert C. Fannjiang and
Knut Solna Propagation and Time Reversal of Wave
Beams in Atmospheric Turbulence . . . . 522--558
Suncica Canic and
Daniele Lamponi and
Andro Mikelic and
Josip Tambaca Self-Consistent Effective Equations
Modeling Blood Flow in Medium-to-Large
Compliant Arteries . . . . . . . . . . . 559--596
Habib Ammari and
Ekaterina Iakovleva and
Dominique Lesselier A MUSIC Algorithm for Locating Small
Inclusions Buried in a Half-Space from
the Scattering Amplitude at a Fixed
Frequency . . . . . . . . . . . . . . . 597--628
Maozhi Li and
J. W. Evans Modeling of Island Formation During
Submonolayer Deposition: a Stochastic
Geometry-Based Simulation Approach . . . 629--657
G. W. Milton On Optimizing the Properties of
Hierarchical Laminates Using
Pontryagin's Maximum Principle . . . . . 658--679
Juan Carlos Muñoz Grajales and
André Nachbin Stiff Microscale Forcing and Solitary
Wave Refocusing . . . . . . . . . . . . 680--705
M. M. Klosek and
R. Kuske Multiscale Analysis of Stochastic Delay
Differential Equations . . . . . . . . . 706--729
Nikolaos Kazantzis and
Michael A. Demetriou Singular Control-Invariance PDEs for
Nonlinear Systems . . . . . . . . . . . 731--748
Tiezheng Qian and
Xiao-Ping Wang Driven Cavity Flow: From Molecular
Dynamics to Continuum Hydrodynamics . . 749--763
Pavel Bvelík and
Mitchell Luskin Computational Modeling of Softening in a
Structural Phase Transformation . . . . 764--781
D. Armbruster and
C. Ringhofer Thermalized Kinetic and Fluid Models for
Reentrant Supply Chains . . . . . . . . 782--800
D. Karagiannis and
A. Astolfi and
R. Ortega Nonlinear Stabilization via System
Immersion and Manifold Invariance:
Survey and New Results . . . . . . . . . 801--817
H. S. Bhat and
R. C. Fetecau and
J. E. Marsden and
K. Mohseni and
M. West Lagrangian Averaging for Compressible
Fluids . . . . . . . . . . . . . . . . . 818--837
Boumediene Hamzi and
Wei Kang and
Arthur J. Krener The Controlled Center Dynamics . . . . . 838--852
Ruhai Zhou and
M. Gregory Forest and
Qi Wang Kinetic Structure Simulations of Nematic
Polymers in Plane Couette Cells. I: The
Algorithm and Benchmarks . . . . . . . . 853--870
Shanqin Chen and
Weinan E and
Chi-Wang Shu The Heterogeneous Multiscale Method
Based on the Discontinuous Galerkin
Method for Hyperbolic and Parabolic
Problems . . . . . . . . . . . . . . . . 871--894
Peng Yu and
Qiang Du and
Chun Liu From Micro to Macro Dynamics via a New
Closure Approximation to the FENE Model
of Polymeric Fluids . . . . . . . . . . 895--917
Alain Bourgeat and
Eduard Marusic-Paloka A Homogenized Model of an Underground
Waste Repository Including a Disturbed
Zone . . . . . . . . . . . . . . . . . . 918--939
Yu Zou and
Roger Ghanem Error Estimation in the Spatial
Discretization of Multiscale Bridging
Models . . . . . . . . . . . . . . . . . 940--956
Jens Eberhard Upscaling for Stationary Transport in
Heterogeneous Porous Media . . . . . . . 957--976
G. A. Pavliotis and
A. M. Stuart Analysis of White Noise Limits for
Stochastic Systems with Two Fast
Relaxation Times . . . . . . . . . . . . 1--35
Rafael Orive and
Enrique Zuazua Finite Difference Approximation of
Homogenization Problems for Elliptic
Equations . . . . . . . . . . . . . . . 36--87
Mario Ohlberger A Posteriori Error Estimates for the
Heterogeneous Multiscale Finite Element
Method for Elliptic Homogenization
Problems . . . . . . . . . . . . . . . . 88--114
Sofiane Soussi Second-Harmonic Generation in the
Undepleted-Pump Approximation . . . . . 115--148
Daniel Sjöberg and
Christian Engström and
Gerhard Kristensson and
David J. N. Wall and
Niklas Wellander A Floquet--Bloch Decomposition of
Maxwell's Equations Applied to
Homogenization . . . . . . . . . . . . . 149--171
Q. Zhang and
G. Yin and
R. H. Liu A Near-Optimal Selling Rule for a
Two-Time-Scale Market Model . . . . . . 172--193
T. Tachim Medjo Barotropic-Baroclinic Time Splitting for
the Primitive Equations of the Ocean . . 194--212
Thomas Hou and
Petros Koumoutsakos Special Section on Multiscale Modeling
in Materials and Life Sciences . . . . . 213--214
Miguel Ángel Fernández and
Vuk Milisic and
Alfio Quarteroni Analysis of a Geometrical Multiscale
Blood Flow Model Based on the Coupling
of ODEs and Hyperbolic PDEs . . . . . . 215--236
S. Wessel and
S. Trebst and
M. Troyer A Renormalization Approach to
Simulations of Quantum Effects in
Nanoscale Magnetic Systems . . . . . . . 237--249
M. F. Ben Hassen and
E. Bonnetier Asymptotic Formulas for the Voltage
Potential in a Composite Medium
Containing Close or Touching Disks of
Small Diameter . . . . . . . . . . . . . 250--277
Giovanni Samaey and
Dirk Roose and
Ioannis G. Kevrekidis The Gap-Tooth Scheme for Homogenization
Problems . . . . . . . . . . . . . . . . 278--306
S. Setayeshgar and
C. W. Gear and
H. G. Othmer and
I. G. Kevrekidis Application of Coarse Integration to
Bacterial Chemotaxis . . . . . . . . . . 307--327
Michael Bergdorf and
Georges-Henri Cottet and
Petros Koumoutsakos Multilevel Adaptive Particle Methods for
Convection--Diffusion Equations . . . . 328--357
Robin L. Hayes and
Matt Fago and
Michael Ortiz and
Emily A. Carter Prediction of Dislocation Nucleation
During Nanoindentation by the
Orbital-Free Density Functional Theory
Local Quasi-continuum Method . . . . . . 359--389
Triet M. Le and
Luminita A. Vese Image Decomposition Using Total
Variation and div(\em BMO) . . . . . . . 390--423
Da-Jiang Liu and
J. W. Evans From Atomic Scale Ordering to Mesoscale
Spatial Patterns in Surface Reactions: a
Heterogeneous Coupled Lattice-Gas
Simulation Approach . . . . . . . . . . 424--446
Assyr Abdulle On \em a Priori Error Analysis of Fully
Discrete Heterogeneous Multiscale FEM 447--459
Stanley Osher and
Martin Burger and
Donald Goldfarb and
Jinjun Xu and
Wotao Yin An Iterative Regularization Method for
Total Variation-Based Image Restoration 460--489
A. Buades and
B. Coll and
J. M. Morel A Review of Image Denoising Algorithms,
with a New One . . . . . . . . . . . . . 490--530
M. Arndt and
M. Griebel Derivation of Higher Order Gradient
Continuum Models from Atomistic Models
for Crystalline Solids . . . . . . . . . 531--562
Zhidong Jia and
Benedict J. Leimkuhler A Projective Thermostatting Dynamics
Technique . . . . . . . . . . . . . . . 563--583
Stefan Henn and
Kristian Witsch Image Registration Based on Multiscale
Energy Information . . . . . . . . . . . 584--609
Josselin Garnier Imaging in Randomly Layered Media by
Cross-Correlating Noisy Signals . . . . 610--640
Andreas Degenhard and
Javier Rodríguez-Laguna Construction of Projection Operators for
Nonlinear Evolutionary Dynamics . . . . 641--663
Yongsam Kim and
Jack Xin A Two-Dimensional Nonlinear Nonlocal
Feed-Forward Cochlear Model and Time
Domain Computation of Multitone
Interactions . . . . . . . . . . . . . . 664--690
Eduardo Luna-Ortiz and
Constantinos Theodoropoulos An Input/Output Model Reduction-Based
Optimization Scheme for Large-Scale
Systems . . . . . . . . . . . . . . . . 691--708
Qiang Du and
Chun Liu and
Peng Yu FENE Dumbbell Model and Its Several
Linear and Nonlinear Closure
Approximations . . . . . . . . . . . . . 709--731
Robert Clewley and
Horacio G. Rotstein and
Nancy Kopell A Computational Tool for the Reduction
of Nonlinear ODE Systems Possessing
Multiple Scales . . . . . . . . . . . . 732--759
Daniel Sjöberg Homogenization of Dispersive Material
Parameters for Maxwell's Equations Using
a Singular Value Decomposition . . . . . 760--789
Grégoire Allaire and
Robert Brizzi A Multiscale Finite Element Method for
Numerical Homogenization . . . . . . . . 790--812
Giuseppe Al\`\i and
Andreas Bartel and
Michael Günther Parabolic Differential-Algebraic Models
in Electrical Network Design . . . . . . 813--838
Leopoldo P. Franca and
Alexandre L. Madureira and
Lutz Tobiska and
Frédéric Valentin Convergence Analysis of a Multiscale
Finite Element Method for Singularly
Perturbed Problems . . . . . . . . . . . 839--866
Muruhan Rathinam and
Linda R. Petzold and
Yang Cao and
Daniel T. Gillespie Consistency and Stability of Tau-Leaping
Schemes for Chemical Reaction Systems 867--895
Naoufel Ben Abdallah and
Mohamed Lazhar Tayeb Diffusion Approximation and
Homogenization of the Semiconductor
Boltzmann Equation . . . . . . . . . . . 896--914
Dongbin Xiu and
Ioannis G. Kevrekidis Equation-Free, Multiscale Computation
for Unsteady Random Diffusion . . . . . 915--935
P. Fife and
J. Klewicki and
P. McMurtry and
T. Wei Multiscaling in the Presence of
Indeterminacy: Wall-Induced Turbulence 936--959
Mila Nikolova Analysis of the Recovery of Edges in
Images and Signals by Minimizing
Nonconvex Regularized Least-Squares . . 960--991
E. Le Pennec and
S. Mallat Bandelet Image Approximation and
Compression . . . . . . . . . . . . . . 992--1039
Eric Canc\`es and
Isabelle Catto and
Yousra Gati and
Claude Le Bris Well-Posedness of a Multiscale Model for
Concentrated Suspensions . . . . . . . . 1041--1058
A. Bourgeade and
B. Nkonga Numerical Modeling of Laser Pulse
Behavior in Nonlinear Crystal and
Application to the Second Harmonic
Generation . . . . . . . . . . . . . . . 1059--1090
Stefan Kindermann and
Stanley Osher and
Peter W. Jones Deblurring and Denoising of Images by
Nonlocal Functionals . . . . . . . . . . 1091--1115
Habib Ammari and
Ekaterina Iakovleva and
Hyeonbae Kang and
Kyoungsun Kim Direct Algorithms for Thermal Imaging of
Small Inclusions . . . . . . . . . . . . 1116--1136
Shuyu Sun and
Mary F. Wheeler and
Mandri Obeyesekere and
Charles Patrick, Jr. Multiscale Angiogenesis Modeling Using
Mixed Finite Element Methods . . . . . . 1137--1167
Patrick L. Combettes and
Valérie R. Wajs Signal Recovery by Proximal
Forward-Backward Splitting . . . . . . . 1168--1200
Inam Ur Rahman and
Iddo Drori and
Victoria C. Stodden and
David L. Donoho and
Peter Schröder Multiscale Representations for
Manifold-Valued Data . . . . . . . . . . 1201--1232
Moongyu Park and
Natalie Kleinfelter and
John H. Cushman Scaling Laws and Fokker--Planck
Equations for $3$-Dimensional Porous
Media with Fractal Mesoscale . . . . . . 1233--1244
Pauline Godillon-Lafitte and
Thierry Goudon A Coupled Model for Radiative Transfer:
Doppler Effects, Equilibrium, and
Nonequilibrium Diffusion Asymptotics . . 1245--1279
M. Gregory Forest and
Ruhai Zhou and
Qi Wang Kinetic Structure Simulations of Nematic
Polymers in Plane Couette Cells. II:
In-Plane Structure Transitions . . . . . 1280--1304
Tetyana Vdovina and
Susan E. Minkoff and
Oksana Korostyshevskaya Operator Upscaling for the Acoustic Wave
Equation . . . . . . . . . . . . . . . . 1305--1338
Stephen F. McCormick Projection Multilevel Methods for
Quasi-linear PDEs: V-cycle Theory . . . 1339--1348
Martha Lien and
Inga Berre and
Trond Mannseth Combined Adaptive Multiscale and
Level-Set Parameter Estimation . . . . . 1349--1372
Bruce P. Ayati and
Glenn F. Webb and
Alexander R. A. Anderson Computational Methods and Results for
Structured Multiscale Models of Tumor
Invasion . . . . . . . . . . . . . . . . 1--20
Trond Mannseth Permeability Identification from
Pressure Observations: Some Foundations
for Multiscale Regularization . . . . . 21--44
Lev Balykov and
Axel Voigt A $ 2 + 1$-Dimensional Terrace-Step-Kink
Model for Epitaxial Growth Far from
Equilibrium . . . . . . . . . . . . . . 45--61
Liliana Borcea and
George Papanicolaou and
Chrysoula Tsogka Coherent Interferometry in Finely
Layered Random Media . . . . . . . . . . 62--83
Rémi Abgrall and
Vincent Perrier Asymptotic Expansion of a Multiscale
Numerical Scheme for Compressible
Multiphase Flow . . . . . . . . . . . . 84--115
Marina I. Knight and
Guy P. Nason Improving Prediction of Hydrophobic
Segments along a Transmembrane Protein
Sequence using Adaptive Multiscale
Lifting . . . . . . . . . . . . . . . . 116--129
Giovanni Russo and
Peter Smereka A Multigrid-Fourier Method for the
Computation of Elastic Fields with
Application to Heteroepitaxy . . . . . . 130--148
Y. S. Bhat and
S. Moskow Homogenization of a Nonlinear Elliptic
Boundary Value Problem Modeling Galvanic
Currents . . . . . . . . . . . . . . . . 149--169
Doina Cioranescu and
Andrey Piatnitski Homogenization of a Porous Medium with
Randomly Pulsating Microstructure . . . 170--183
Brahim Amaziane and
Alain Bourgeat and
Mladen Jurak Effective Macrodiffusion in Solute
Transport through Heterogeneous Porous
Media . . . . . . . . . . . . . . . . . 184--204
Tiejun Li and
Pingwen Zhang Convergence Analysis of BCF Method for
Hookean Dumbbell Model with Finite
Difference Scheme . . . . . . . . . . . 205--234
Andrés Almansa and
Vicent Caselles and
Gloria Haro and
Bernard Rougé Restoration and Zoom of Irregularly
Sampled, Blurred, and Noisy Images by
Accurate Total Variation Minimization
with Local Constraints . . . . . . . . . 235--272
David M. Strong and
Jean-François Aujol and
Tony F. Chan Scale Recognition, Regularization
Parameter Selection, and Meyer's $G$
Norm in Total Variation Regularization 273--303
Patrick Joly and
Sébastien Tordeux Matching of Asymptotic Expansions for
Wave Propagation in Media with Thin
Slots I: The Asymptotic Expansion . . . 304--336
Jorg E. Aarnes and
Stein Krogstad and
Knut-Andreas Lie A Hierarchical Multiscale Method for
Two-Phase Flow Based upon Mixed Finite
Elements and Nonuniform Coarse Grids . . 337--363
Pierre Degond and
Céline Parzani and
Marie-Hél\`ene Vignal A Boltzmann Model for Trapped Particles
in a Surface Potential . . . . . . . . . 364--392
Frank Noé and
Marcus Oswald and
Gerhard Reinelt and
Stefan Fischer and
Jeremy C. Smith Computing Best Transition Pathways in
High-Dimensional Dynamical Systems:
Application to the Alpha L $
\leftrightharpoons $ Beta $
\leftrightharpoons $ Alpha $R$
Transitions in Octaalanine . . . . . . . 393--419
Jeremy A. Templeton and
Mohammad Shoeybi Towards Wall-Normal Filtering for
Large-Eddy Simulation . . . . . . . . . 420--444
Yuguang Chen and
Louis J. Durlofsky Efficient Incorporation of Global
Effects in Upscaled Models of Two-Phase
Flow and Transport in Heterogeneous
Formations . . . . . . . . . . . . . . . 445--475
Colin J. Cotter and
Sebastian Reich Semigeostrophic Particle Motion and
Exponentially Accurate Normal forms . . 476--496
Sergey Plyasunov and
Adam P. Arkin Averaging Methods for Stochastic
Dynamics of Complex Reaction Networks:
Description of Multiscale Couplings . . 497--513
P. Ailliot and
E. Frénod and
V. Monbet Long Term Object Drift Forecast in the
Ocean with Tide and Wind . . . . . . . . 514--531
Yi Sun and
Bjorn Engquist Heterogeneous Multiscale Methods for
Interface Tracking of Combustion Fronts 532--563
Martin Burger and
Vincenzo Capasso and
Livio Pizzocchero Mesoscale Averaging of Nucleation and
Growth Models . . . . . . . . . . . . . 564--592
Per Lötstedt and
Lars Ferm Dimensional Reduction of the
Fokker--Planck Equation for Stochastic
Chemical Reactions . . . . . . . . . . . 593--614
Tony F. Chan and
Ke Chen An Optimization-Based Multilevel
Algorithm for Total Variation Image
Denoising . . . . . . . . . . . . . . . 615--645
Habib Ammari and
Hyeoenbae Kang and
Sofiane Soussi and
Habib Zribi Layer Potential Techniques in Spectral
Analysis. Part II: Sensitivity Analysis
of Spectral Properties of High Contrast
Band-Gap Materials . . . . . . . . . . . 646--663
Bernd Schmidt A Derivation of Continuum Nonlinear
Plate Theory from Atomistic Models . . . 664--694
Manuel Torrilhon Two-Dimensional Bulk Microflow
Simulations Based on Regularized Grad's
$ 13$-Moment Equations . . . . . . . . . 695--728
Dionisios Margetis and
Robert V. Kohn Continuum Relaxation of Interacting
Steps on Crystal Surfaces in $ 2 + 1 $
Dimensions . . . . . . . . . . . . . . . 729--758
Marco Ellero and
Martin Kröger and
Siegfried Hess Multiscale Modeling of Viscoelastic
Materials Containing Rigid Nonrotating
Inclusions . . . . . . . . . . . . . . . 759--785
Jorge M. Ramirez and
Enrique A. Thomann and
Edward C. Waymire and
Roy Haggerty and
Brian Wood A Generalized Taylor--Aris Formula and
Skew Diffusion . . . . . . . . . . . . . 786--801
Illia Horenko and
Evelyn Dittmer and
Alexander Fischer and
Christof Schütte Automated Model Reduction for Complex
Systems Exhibiting Metastability . . . . 802--827
Yves Achdou and
Christophe Sabot and
Nicoletta Tchou A Multiscale Numerical Method for
Poisson Problems in Some Ramified
Domains with a Fractal Boundary . . . . 828--860
Emmanuel Cand\`es and
Laurent Demanet and
David Donoho and
Lexing Ying Fast Discrete Curvelet Transforms . . . 861--899
Christian Wolfsteiner and
Seong H. Lee and
Hamdi A. Tchelepi Well Modeling in the Multiscale Finite
Volume Method for Subsurface Flow
Simulation . . . . . . . . . . . . . . . 900--917
Jòrg E. Aarnes and
Yalchin Efendiev An Adaptive Multiscale Method for
Simulation of Fluid Flow in
Heterogeneous Porous Media . . . . . . . 918--939
Pierre Degond and
Jian-Guo Liu and
Luc Mieussens Macroscopic Fluid Models with Localized
Kinetic Upscaling Effects . . . . . . . 940--979
Michael Bergdorf and
Petros Koumoutsakos A Lagrangian Particle-Wavelet Method . . 980--995
Antoine Gloria An Analytical Framework for the
Numerical Homogenization of Monotone
Elliptic Operators and Quasiconvex
Energies . . . . . . . . . . . . . . . . 996--1043
Pranay Goel and
James Sneyd and
Avner Friedman Homogenization of the Cell Cytoplasm:
The Calcium Bidomain Equations . . . . . 1045--1062
Shi Jin and
Kyle A. Novak A Semiclassical Transport Model for Thin
Quantum Barriers . . . . . . . . . . . . 1063--1086
Thomas Y. Hou and
Andrew Westhead and
Danping Yang A Framework for Modeling Subgrid Effects
for Two-Phase Flows in Porous Media . . 1087--1127
Y. T. Gu and
L. C. Zhang A Concurrent Multiscale Method Based on
the Meshfree Method and Molecular
Dynamics Analysis . . . . . . . . . . . 1128--1155
Maria G. Fyta and
Simone Melchionna and
Efthimios Kaxiras and
Sauro Succi Multiscale Coupling of Molecular
Dynamics and Hydrodynamics: Application
to DNA Translocation through a Nanopore 1156--1173
Tamar Schlick and
Ken Dill Special Section On Multiscale Modeling
In Biology . . . . . . . . . . . . . . . 1174--1174
M. Chinchio and
C. Czaplewski and
S. Od\ldziej and
H. A. Scheraga A Hierarchical Multiscale Approach to
Protein Structure Prediction: Production
of Low-Resolution Packing Arrangements
of Helices and Refinement of the Best
Models with a United-Residue Force Field 1175--1195
Xiaoyu Zhang and
Chandrajit L. Bajaj and
Bongjune Kwon and
Todd J. Dolinsky and
Jens E. Nielsen and
Nathan A. Baker Application of New Multiresolution
Methods for the Comparison of
Biomolecular Electrostatic Properties in
the Absence of Global Structural
Similarity . . . . . . . . . . . . . . . 1196--1213
John D. Chodera and
William C. Swope and
Jed W. Pitera and
Ken A. Dill Long-Time Protein Folding Dynamics from
Short-Time Molecular Dynamics
Simulations . . . . . . . . . . . . . . 1214--1226
Atsushi Matsumoto and
Wilma K. Olson Predicted Effects of Local
Conformational Coupling and External
Restraints on the Torsional Properties
of Single DNA Molecules . . . . . . . . 1227--1247
Qizhi Cui and
Robert K.-Z. Tan and
Stephen C. Harvey and
David A. Case Low-Resolution Molecular Dynamics
Simulations of the $ 30 $S Ribosomal
Subunit . . . . . . . . . . . . . . . . 1248--1263
C. Rebecca Locker and
Stephen C. Harvey A Model for Viral Genome Packing . . . . 1264--1279
Antti J. Tanskanen and
Raimond L. Winslow Integrative Structurally Detailed Model
of Calcium Dynamics in the Cardiac Diad 1280--1296
Dimitris A. Goussis and
Habib N. Najm Model Reduction and Physical
Understanding of Slowly Oscillating
Processes: The Circadian Cycle . . . . . 1297--1332
Daniela Calvetti and
Erkki Somersalo Large-Scale Statistical Parameter
Estimation in Complex Systems with an
Application to Metabolic Models . . . . 1333--1366
Christof Eck Error Estimates for a Finite Element
Discretization of a Two-Scale Phase
Field Model . . . . . . . . . . . . . . 1--26
David Bernstein Optimal Prediction of Burgers's Equation 27--52
Hans Christian Öttinger and
Henning Struchtrup The Mathematical Procedure of Coarse
Graining: From Grad's Ten-Moment
Equations to Hydrodynamics . . . . . . . 53--69
Anastasia Papavasiliou and
Ioannis G. Kevrekidis Variance Reduction for the Equation-Free
Simulation of Multiscale Stochastic
Systems . . . . . . . . . . . . . . . . 70--89
T. J. Stasevich and
T. L. Einstein Analytic Formulas for the Orientation
Dependence of Step Stiffness and Line
Tension: Key Ingredients for Numerical
Modeling . . . . . . . . . . . . . . . . 90--104
Yann Gousseau and
François Roueff Modeling Occlusion and Scaling in
Natural Images . . . . . . . . . . . . . 105--134
Sergio Conti and
Patrice Hauret and
Michael Ortiz Concurrent Multiscale Computing of
Deformation Microstructure by Relaxation
and Local Enrichment with Application to
Single-Crystal Plasticity . . . . . . . 135--157
Frank Haußer and
Michel E. Jabbour and
Axel Voigt A Step-Flow Model for the
Heteroepitaxial Growth of Strained,
Substitutional, Binary Alloy Films with
Phase Segregation: I. Theory . . . . . . 158--189
Wotao Yin and
Donald Goldfarb and
Stanley Osher The Total Variation Regularized $ L^1 $
Model for Multiscale Decomposition . . . 190--211
Hector D. Ceniceros and
George O. Mohler A Practical Splitting Method for Stiff
SDEs with Applications to Problems with
Small Noise . . . . . . . . . . . . . . 212--227
Zhiming Lu and
Dongxiao Zhang Stochastic Simulations for Flow in
Nonstationary Randomly Heterogeneous
Porous Media Using a $ K L $-Based
Moment-Equation Approach . . . . . . . . 228--245
P. Degond and
S. Gallego and
F. Méhats Isothermal Quantum Hydrodynamics:
Derivation, Asymptotic Analysis, and
Simulation . . . . . . . . . . . . . . . 246--272
A. Haddad Texture Separation $ B V - G $ and $ B V
- L^1 $ Models . . . . . . . . . . . . . 273--286
Anne Bourlioux and
Boualem Khouider A Rigorous Asymptotic Perspective on the
Large Scale Simulations of Turbulent
Premixed Flames . . . . . . . . . . . . 287--307
Ivan Lunati and
Patrick Jenny Treating Highly Anisotropic Subsurface
Flow with the Multiscale Finite-Volume
Method . . . . . . . . . . . . . . . . . 308--318
Todd Arbogast and
Gergina Pencheva and
Mary F. Wheeler and
Ivan Yotov A Multiscale Mortar Mixed Finite Element
Method . . . . . . . . . . . . . . . . . 319--346
Bruce P. Ayati and
Isaac Klapper A Multiscale Model of Biofilm as a
Senescence-Structured Fluid . . . . . . 347--365
M. Burger and
K. Frick and
S. Osher and
O. Scherzer Inverse Total Variation Flow . . . . . . 366--395
Marcus Weber and
Susanna Kube and
Lionel Walter and
Peter Deuflhard Stable Computation of Probability
Densities for Metastable Dynamical
Systems . . . . . . . . . . . . . . . . 396--416
Tiejun Li Analysis of Explicit Tau-Leaping Schemes
for Simulating Chemically Reacting
Systems . . . . . . . . . . . . . . . . 417--436
X. San Liang and
Donald G. M. Anderson Multiscale Window Transform . . . . . . 437--467
George Papanicolaou and
Lenya Ryzhik and
Knut Sòlna Self-Averaging from Lateral Diversity in
the Itô--Schrödinger Equation . . . . . . 468--492
J. Wallner and
E. Nava Yazdani and
P. Grohs Smoothness Properties of Lie Group
Subdivision Schemes . . . . . . . . . . 493--505
John W. Barrett and
Endre Süli Existence of Global Weak Solutions to
Some Regularized Kinetic Models for
Dilute Polymers . . . . . . . . . . . . 506--546
Sylvain Durand and
Mila Nikolova Denoising of Frame Coefficients Using $
\ell^1 $ Data-Fidelity Term and
Edge-Preserving Regularization . . . . . 547--576
Dror Givon Strong Convergence Rate for
Two-Time-Scale Jump-Diffusion Stochastic
Differential Systems . . . . . . . . . . 577--594
Guy Gilboa and
Stanley Osher Nonlocal Linear Image Regularization and
Supervised Segmentation . . . . . . . . 595--630
Hans Babovsky and
Piotr Kowalczyk Diffusion Limits for Discrete Velocity
Models in a Thin Gap . . . . . . . . . . 631--655
Christopher P. Calderon Fitting Effective Diffusion Models to
Data Associated with a ``Glassy''
Potential: Estimation, Classical
Inference Procedures, and Some
Heuristics . . . . . . . . . . . . . . . 656--687
Nicolay M. Tanushev and
Jianliang Qian and
James V. Ralston Mountain Waves and Gaussian Beams . . . 688--709
Ingrid Daubechies and
Olof Runborg and
Jing Zou A Sparse Spectral Method for
Homogenization Multiscale Problems . . . 711--740
Panagiotis Stinis Higher Order Mori--Zwanzig Models for
the Euler Equations . . . . . . . . . . 741--760
Csaba Fazekas and
György Kozmann and
Katalin M. Hangos Multiscale Modeling and Time-Scale
Analysis of a Human Limb . . . . . . . . 761--791
Guillaume Bal and
Olivier Pinaud Kinetic Models for Imaging in Random
Media . . . . . . . . . . . . . . . . . 792--819
P. Degond and
S. Göttlich and
M. Herty and
A. Klar A Network Model for Supply Chains with
Multiple Policies . . . . . . . . . . . 820--837
Pieter Van Leemput and
Christophe Vandekerckhove and
Wim Vanroose and
Dirk Roose Accuracy of Hybrid Lattice
Boltzmann/Finite Difference Schemes for
Reaction--Diffusion Systems . . . . . . 838--857
M. Gregory Forest and
Ruhai Zhou and
Qi Wang Microscopic-Macroscopic Simulations of
Rigid-Rod Polymer Hydrodynamics:
Heterogeneity and Rheochaos . . . . . . 858--878
Vicent Caselles and
Antonin Chambolle and
Matteo Novaga The Discontinuity Set of Solutions of
the TV Denoising Problem and Some
Extensions . . . . . . . . . . . . . . . 879--894
Nki Echenim and
Frederique Clément and
Michel Sorine Multiscale Modeling of Follicular
Ovulation as a Reachability Problem . . 895--912
Andrea Bertozzi and
Selim Esedo\uglu and
Alan Gillette Analysis of a Two-Scale Cahn--Hilliard
Model for Binary Image Inpainting . . . 913--936
Timothy Breitzman and
Robert Lipton and
Endel Iarve Local Field Assessment inside Multiscale
Composite Architectures . . . . . . . . 937--962
Baruch Barzel and
Ofer Biham and
Raz Kupferman Analysis of the Multiplane Method for
Stochastic Simulations of Reaction
Networks with Fluctuations . . . . . . . 963--982
Leah Bar and
Nir Sochen and
Nahum Kiryati Convergence of an Iterative Method for
Variational Deconvolution and Impulsive
Noise Removal . . . . . . . . . . . . . 983--994
Josselin Garnier and
Juan Carlos Muñoz Grajales and
André Nachbin Effective Behavior of Solitary Waves
over Random Topography . . . . . . . . . 995--1025
Mihai Bostan The Vlasov--Maxwell System with Strong
Initial Magnetic Field: Guiding-Center
Approximation . . . . . . . . . . . . . 1026--1058
Assyr Abdulle and
Bjorn Engquist Finite Element Heterogeneous Multiscale
Methods with Near Optimal Computational
Complexity . . . . . . . . . . . . . . . 1059--1084
Zvi Artstein and
Jasmine Linshiz and
Edriss S. Titi Young Measure Approach to Computing
Slowly Advancing Fast Oscillations . . . 1085--1097
Matteo Focardi and
Adriana Garroni A $1$D Macroscopic Phase Field Model for
Dislocations and a Second Order $ \Gamma
$-Limit . . . . . . . . . . . . . . . . 1098--1124
Illia Horenko and
Rupert Klein and
Stamen Dolaptchiev and
Christof Schütte Automated Generation of Reduced
Stochastic Weather Models I:
Simultaneous Dimension and Model
Reduction for Time Series Analysis . . . 1125--1145
Shev MacNamara and
Kevin Burrage and
Roger B. Sidje Multiscale Modeling of Chemical Kinetics
via the Master Equation . . . . . . . . 1146--1168
Giacomo Dimarco and
Lorenzo Pareschi Hybrid Multiscale Methods II. Kinetic
Equations . . . . . . . . . . . . . . . 1169--1197
Andrea Braides and
Antoine Gloria Exact Bounds on the Effective Behavior
of a Conducting Discrete Polycrystal . . 1198--1216
Yu Zou and
Ioannis G. Kevrekidis Uncertainty Quantification for Atomistic
Reaction Models: An Equation-Free
Stochastic Simulation Algorithm Example 1217--1233
Pieter Van Leemput and
Wim Vanroose and
Dirk Roose Mesoscale Analysis of the Equation-Free
Constrained Runs Initialization Scheme 1234--1255
Sarah A. Williams and
John B. Bell and
Alejandro L. Garcia Algorithm Refinement for Fluctuating
Hydrodynamics . . . . . . . . . . . . . 1256--1280
K. Aoki and
P. Degond and
L. Mieussens and
S. Takata and
H. Yoshida A Diffusion Model for Rarefied Flows in
Curved Channels . . . . . . . . . . . . 1281--1316
Thomas Y. Hou and
Danping Yang and
Hongyu Ran Multiscale Analysis and Computation for
the Three-Dimensional Incompressible
Navier--Stokes Equations . . . . . . . . 1317--1346
Erin M. Lennon and
George O. Mohler and
Hector D. Ceniceros and
Carlos J. García-Cervera and
Glenn H. Fredrickson Numerical Solutions of the Complex
Langevin Equations in Polymer Field
Theory . . . . . . . . . . . . . . . . . 1347--1370
Ke-Shen Cheong Identifying Strain Localization in
Heterogeneous Microstructures via an
Information Passing Modeling Approach 1371--1381
A. Ávila and
G. Griso and
B. Miara and
E. Rohan Multiscale Modeling of Elastic Waves:
Theoretical Justification and Numerical
Simulation of Band Gaps . . . . . . . . 1--21
Preethi L. Chandran and
Triantafyllos Stylianopoulos and
Victor H. Barocas Microstructure-Based, Multiscale
Modeling for the Mechanical Behavior of
Hydrated Fiber Networks . . . . . . . . 22--43
Cyrill B. Muratov and
Stanislav Y. Shvartsman Boundary Homogenization for Periodic
Arrays of Absorbers . . . . . . . . . . 44--61
Robert V. Kohn and
Stephen P. Shipman Magnetism and Homogenization of
Microresonators . . . . . . . . . . . . 62--92
Oleg Iliev and
Andro Mikeli\'c and
Peter Popov On Upscaling Certain Flows in Deformable
Porous Media . . . . . . . . . . . . . . 93--123
Raymond El Hajj and
Naoufel Ben Abdallah High Density Limit of the Stationary One
Dimensional Schrödinger--Poisson System 124--146
Marcel Arndt and
Mitchell Luskin Error Estimation and Atomistic-Continuum
Adaptivity for the Quasicontinuum
Approximation of a Frenkel--Kontorova
Model . . . . . . . . . . . . . . . . . 147--170
James Nolen and
George Papanicolaou and
Olivier Pironneau A Framework for Adaptive Multiscale
Methods for Elliptic Problems . . . . . 171--196
Vesselin Stoilov A Multiscale Model of First and Second
Order Phase Transformations with
Application to SMA Single Crystals . . . 197--213
Julien Mairal and
Guillermo Sapiro and
Michael Elad Learning Multiscale Sparse
Representations for Image and Video
Restoration . . . . . . . . . . . . . . 214--241
Dionisios Margetis and
Russel E. Caflisch Anisotropic Step Stiffness from a
Kinetic Model of Epitaxial Growth . . . 242--273
Antoine Gloria An Analytical Framework for Numerical
Homogenization. Part II: Windowing and
Oversampling . . . . . . . . . . . . . . 274--293
Wei Wang and
Xiantao Li and
Chi-Wang Shu The Discontinuous Galerkin Method for
the Multiscale Modeling of Dynamics of
Crystalline Solids . . . . . . . . . . . 294--320
Raz Kupferman and
Yossi Shamai Optimal Choices of Correlation Operators
in Brownian Simulation Methods . . . . . 321--348
Gil Ariel and
Eric Vanden-Eijnden Accelerated Simulation of a Heavy
Particle in a Gas of Elastic Spheres . . 349--361
Michael L. Parks and
Pavel B. Bochev and
Richard B. Lehoucq Connecting Atomistic-to-Continuum
Coupling and Domain Decomposition . . . 362--380
Santiago Badia and
Michael Parks and
Pavel Bochev and
Max Gunzburger and
Richard Lehoucq On Atomistic-to-Continuum Coupling by
Blending . . . . . . . . . . . . . . . . 381--406
Daniela Calvetti and
Amy Kuceyeski and
Erkki Somersalo Sampling-Based Analysis of a Spatially
Distributed Model for Liver Metabolism
at Steady State . . . . . . . . . . . . 407--431
L. Baffico and
C. Grandmont and
Y. Maday and
A. Osses Homogenization of Elastic Media with
Gaseous Inclusions . . . . . . . . . . . 432--465
Sébastien Boyaval Reduced-Basis Approach for
Homogenization beyond the Periodic
Setting . . . . . . . . . . . . . . . . 466--494
Dror Givon and
Ioannis G. Kevrekidis Multiscale Integration Schemes for
Jump-Diffusion Systems . . . . . . . . . 495--516
Zhangxin Chen and
Ming Cui and
Tatyana Y. Savchuk and
Xijun Yu The Multiscale Finite Element Method
with Nonconforming Elements for Elliptic
Homogenization Problems . . . . . . . . 517--538
Zhongyi Huang and
Shi Jin and
Peter A. Markowich and
Christof Sparber Numerical Simulation of the Nonlinear
Schrödinger Equation with
Multidimensional Periodic Potentials . . 539--564
Christian Vergara and
Paolo Zunino Multiscale Boundary Conditions for Drug
Release from Cardiovascular Stents . . . 565--588
Bin Dong and
Jian Ye and
Stanley Osher and
Ivo Dinov Level Set Based Nonlocal Surface
Restoration . . . . . . . . . . . . . . 589--598
Jeff Borggaard and
Traian Iliescu and
Hyesuk Lee and
John Paul Roop and
Hyunjin Son A Two-Level Discretization Method for
the Smagorinsky Model . . . . . . . . . 599--621
Xiaofeng Yang and
Zhenlu Cui and
M. Gregory Forest and
Qi Wang and
Jie Shen Dimensional Robustness and Instability
of Sheared, Semidilute, Nanorod
Dispersions . . . . . . . . . . . . . . 622--654
J. E. Aarnes and
Y. Efendiev and
L. Jiang Mixed Multiscale Finite Element Methods
Using Limited Global Information . . . . 655--676
Guillaume Bal Central Limits and Homogenization in
Random Media . . . . . . . . . . . . . . 677--702
Gabriel Peyré Image Processing with Nonlocal Spectral
Bases . . . . . . . . . . . . . . . . . 703--730
Illia Horenko and
Christof Schütte Likelihood-Based Estimation of
Multidimensional Langevin Models and Its
Application to Biomolecular Dynamics . . 731--773
Yumei Huang and
Michael K. Ng and
You-Wei Wen A Fast Total Variation Minimization
Method for Image Restoration . . . . . . 774--795
C. Lucas and
A. Rousseau New Developments and Cosine Effect in
the Viscous Shallow Water and
Quasi-geostrophic Equations . . . . . . 796--813
Vincenzo Capasso and
Heinz W. Engl and
Stefan Kindermann Parameter Identification in a Random
Environment Exemplified by a Multiscale
Model for Crystal Growth . . . . . . . . 814--841
R. R. Coifman and
I. G. Kevrekidis and
S. Lafon and
M. Maggioni and
B. Nadler Diffusion Maps, Reduction Coordinates,
and Low Dimensional Representation of
Stochastic Systems . . . . . . . . . . . 842--864
Russel Caflisch and
Chiaming Wang and
Giacomo Dimarco and
Bruce Cohen and
Andris Dimits A Hybrid Method for Accelerated
Simulation of Coulomb Collisions in a
Plasma . . . . . . . . . . . . . . . . . 865--887
Kristen DeVault and
Pierre A. Gremaud and
Vera Novak and
Mette S. Olufsen and
Guillaume Verni\`eres and
Peng Zhao Blood Flow in the Circle of Willis:
Modeling and Calibration . . . . . . . . 888--909
David Da Silva and
Frédéric Boudon and
Christophe Godin and
Hervé Sinoquet Multiscale Framework for Modeling and
Analyzing Light Interception by Trees 910--933
Marc A. Hesse and
Bradley T. Mallison and
Hamdi A. Tchelepi Compact Multiscale Finite Volume Method
for Heterogeneous Anisotropic Elliptic
Equations . . . . . . . . . . . . . . . 934--962
Wei-Wei Wang and
Xiang-Chu Feng Anisotropic Diffusion with Nonlinear
Structure Tensor . . . . . . . . . . . . 963--977
YunKyong Hyon and
Qiang Du and
Chun Liu An Enhanced Macroscopic Closure
Approximation to the Micro-Macro FENE
Model for Polymeric Materials . . . . . 978--1002
Robin L. Hayes and
Matthew Fago and
Michael Ortiz and
Emily A. Carter Erratum: Prediction of Dislocation
Nucleation during Nanoindentation by the
Orbital-Free Density Functional Theory
Local Quasi-Continuum Method . . . . . . 1003--1003
Guy Gilboa and
Stanley Osher Nonlocal Operators with Applications to
Image Processing . . . . . . . . . . . . 1005--1028
Lihua Shen and
Jack Xin and
Aihui Zhou Finite Element Computations of
Kolmogorov--Petrovsky--Piskunov Front
Speeds in Random Shear Flows in
Cylinders . . . . . . . . . . . . . . . 1029--1041
Viet Ha Hoang Sparse Finite Element Method for
Periodic Multiscale Nonlinear Monotone
Problems . . . . . . . . . . . . . . . . 1042--1072
Gang Xie and
Thomas P.-Y. Yu Smoothness Equivalence Properties of
General Manifold-Valued Data Subdivision
Schemes . . . . . . . . . . . . . . . . 1073--1100
Erwan Deriaz and
Valérie Perrier Direct Numerical Simulation of
Turbulence Using Divergence-Free
Wavelets . . . . . . . . . . . . . . . . 1101--1129
M. R. Borges and
F. Furtado and
F. Pereira and
H. P. Amaral Souto Scaling Analysis for the Tracer Flow
Problem in Self-Similar Permeability
Fields . . . . . . . . . . . . . . . . . 1130--1147
Grégoire Allaire and
Karima El Ganaoui Homogenization of a Conductive and
Radiative Heat Transfer Problem . . . . 1148--1170
A. Turco and
D. Passerone and
F. Cardin Tonelli Principle: Finite Reduction and
Fixed Energy Molecular Dynamics
Trajectories . . . . . . . . . . . . . . 1171--1191
Philipp Metzner and
Christof Schütte and
Eric Vanden-Eijnden Transition Path Theory for Markov Jump
Processes . . . . . . . . . . . . . . . 1192--1219
T. L. van Noorden Crystal Precipitation and Dissolution in
a Porous Medium: Effective Equations and
Numerical Experiments . . . . . . . . . 1220--1236
Bernd Schmidt and
Fernando Fraternali and
Michael Ortiz Eigenfracture: An Eigendeformation
Approach to Variational Fracture . . . . 1237--1266
L. Borcea and
F. González del Cueto and
G. Papanicolaou and
C. Tsogka Filtering Deterministic Layer Effects in
Imaging . . . . . . . . . . . . . . . . 1267--1301
Josselin Garnier and
Knut Sòlna Pulse Propagation in Random Media with
Long-Range Correlation . . . . . . . . . 1302--1324
Sylvain Durand On the Construction of Discrete
Directional Wavelets: HDWT,
Space-Frequency Localization, and
Redundancy Factor . . . . . . . . . . . 1325--1347
Christophe Gomez Time-Reversal Superresolution in Random
Waveguides . . . . . . . . . . . . . . . 1348--1386
Gil Ariel and
Bjorn Engquist and
Richard Tsai Numerical Multiscale Methods for Coupled
Oscillators . . . . . . . . . . . . . . 1387--1404
Marc Briane and
Graeme W. Milton Giant Hall Effect in Composites . . . . 1405--1427
Dionisios Margetis and
Athanasios E. Tzavaras Kinetic Hierarchies and Macroscopic
Limits for Crystalline Steps in $ 1 + 1
$ Dimensions . . . . . . . . . . . . . . 1428--1454
Jan M. Nordbotten Adaptive Variational Multiscale Methods
for Multiphase Flow in Porous Media . . 1455--1473
Gerlind Plonka The Easy Path Wavelet Transform: a New
Adaptive Wavelet Transform for Sparse
Representation of Two-Dimensional Data 1474--1496
Cory D. Hauck and
Robert B. Lowrie Temporal Regularization of the $ P_N $
Equations . . . . . . . . . . . . . . . 1497--1524
A. J. Roberts Model Dynamics across Multiple Length
and Time Scales on a Spatial Multigrid 1525--1548
Matthew Elsey and
Selim Esedo\uglu Analogue of the Total Variation
Denoising Model in the Context of
Geometry Processing . . . . . . . . . . 1549--1573
Gabriele Facciolo and
Andrés Almansa and
Jean-François Aujol and
Vicent Caselles Irregular to Regular Sampling,
Denoising, and Deconvolution . . . . . . 1574--1608
Pranay Goel and
Arthur Sherman and
Avner Friedman Multiscale Modeling of Electrical and
Intracellular Activity in the Pancreas:
The Islet Tridomain Equations . . . . . 1609--1642
Malte A. Peter and
M. Böhm Multiscale Modelling of Chemical
Degradation Mechanisms in Porous Media
with Evolving Microstructure . . . . . . 1643--1668
Jian Hao and
Tsorng-Whay Pan and
Sun\vcica \vCani\'c and
Roland Glowinski and
Doreen Rosenstrauch A Fluid-Cell Interaction and Adhesion
Algorithm for Tissue Coating of
Cardiovascular Implants . . . . . . . . 1669--1694
Sarah Day and
William D. Kalies and
Thomas Wanner Verified Homology Computations for Nodal
Domains . . . . . . . . . . . . . . . . 1695--1726
Emmanuel Cand\`es and
Laurent Demanet and
Lexing Ying A Fast Butterfly Algorithm for the
Computation of Fourier Integral
Operators . . . . . . . . . . . . . . . 1727--1750
Daan Crommelin and
Eric Vanden-Eijnden Data-Based Inference of Generators for
Markov Jump Processes Using Convex
Optimization . . . . . . . . . . . . . . 1751--1778
Ari Stern and
Eitan Grinspun Implicit-Explicit Variational
Integration of Highly Oscillatory
Problems . . . . . . . . . . . . . . . . 1779--1794
Jie Liu and
Jack Xin and
Yingyong Qi A Soft-Constrained Dynamic Iterative
Method of Blind Source Separation . . . 1795--1810
Greg Norgard and
Kamran Mohseni On the Convergence of the Convectively
Filtered Burgers Equation to the Entropy
Solution of the Inviscid Burgers
Equation . . . . . . . . . . . . . . . . 1811--1837
Pingbing Ming and
Jerry Zhijian Yang Analysis of a One-Dimensional Nonlocal
Quasi-Continuum Method . . . . . . . . . 1838--1875
Gero Friesecke and
Benjamin D. Goddard Asymptotics-Based CI Models for Atoms:
Properties, Exact Solution of a Minimal
Model for Li to Ne, and Application to
Atomic Spectra . . . . . . . . . . . . . 1876--1897
Vikram Krishnamurthy and
Kevin Topley and
George Yin Consensus Formation in a Two-Time-Scale
Markovian System . . . . . . . . . . . . 1898--1927
Josselin Garnier and
Knut Sòlna Paraxial Coupling of Electromagnetic
Waves in Random Media . . . . . . . . . 1928--1955
Jean-Pierre Fouque and
Ronnie Sircar and
Knut Sòlna Multiname and Multiscale Default
Modeling . . . . . . . . . . . . . . . . 1956--1978
G. Firmani and
A. Fiori and
I. Jankovic and
G. Dagan Effective Conductivity of Random
Multiphase $2$D Media with Polydisperse
Circular Inclusions . . . . . . . . . . 1979--2001
Bin Luo and
Jean-François Aujol and
Yann Gousseau Local Scale Measure from the Topographic
Map and Application to Remote Sensing
Images . . . . . . . . . . . . . . . . . 1--29
Somkid Intep and
Desmond J. Higham and
Xuerong Mao Switching and Diffusion Models for Gene
Regulation Networks . . . . . . . . . . 30--45
Stefan Engblom Parallel in Time Simulation of
Multiscale Stochastic Chemical Kinetics 46--68
Yvo Pokern and
Andrew M. Stuart and
Eric Vanden-Eijnden Remarks on Drift Estimation for
Diffusion Processes . . . . . . . . . . 69--95
Ivan Lunati and
Seong H. Lee An Operator Formulation of the
Multiscale Finite-Volume Method with
Correction Function . . . . . . . . . . 96--109
Lexing Ying and
Sergey Fomel Fast Computation of Partial Fourier
Transforms . . . . . . . . . . . . . . . 110--124
Yuguang Chen and
Yan Li Local-Global Two-Phase Upscaling of Flow
and Transport in Heterogeneous
Formations . . . . . . . . . . . . . . . 125--153
Vincent Duval and
Jean-François Aujol and
Yann Gousseau The TVL1 Model: a Geometric Point of
View . . . . . . . . . . . . . . . . . . 154--189
Anter El-Azab and
Russel Caflisch Special Section on Multiscale Materials
Modeling . . . . . . . . . . . . . . . . 191--192
Ruichang Xiong and
Rebecca L. Empting and
Ian C. Morris and
David J. Keffer Self-Consistent Multiscale Modeling in
the Presence of Inhomogeneous Fields . . 193--203
Pablo Seleson and
Michael L. Parks and
Max Gunzburger and
Richard B. Lehoucq Peridynamics as an Upscaling of
Molecular Dynamics . . . . . . . . . . . 204--227
Jinghong Fan Multiscale Analysis across
Atoms/Continuum by a Generalized
Particle Dynamics Method . . . . . . . . 228--253
Gero Friesecke and
Oliver Junge and
Péter Koltai Mean Field Approximation in Conformation
Dynamics . . . . . . . . . . . . . . . . 254--268
Adam M. Oberman and
Ryo Takei and
Alexander Vladimirsky Homogenization of Metric
Hamilton--Jacobi Equations . . . . . . . 269--295
Sonjoy Das and
Roger Ghanem A Bounded Random Matrix Approach for
Stochastic Upscaling . . . . . . . . . . 296--325
Jamila Rahmoun and
Fahmi Chaari and
Eric Markiewicz and
Pascal Drazetic Micromechanical Modeling of the
Anisotropy of Elastic Biological
Composites . . . . . . . . . . . . . . . 326--336
Jian-Feng Cai and
Stanley Osher and
Zuowei Shen Split Bregman Methods and Frame Based
Image Restoration . . . . . . . . . . . 337--369
H.-S. Chen and
C.-S. Chien Multilevel Spectral-Galerkin and
Continuation Methods for Nonlinear
Schrödinger Equations . . . . . . . . . . 370--392
S. C. Olhede and
A. M. Sykulski and
G. A. Pavliotis Frequency Domain Estimation of
Integrated Volatility for Itô Processes
in the Presence of Market-Microstructure
Noise . . . . . . . . . . . . . . . . . 393--427
Hailiang Liu and
James Ralston Recovery of High Frequency Wave Fields
for the Acoustic Wave Equation . . . . . 428--444
Abhilash J. Chandy and
Steven H. Frankel The $t$-Model as a Large Eddy Simulation
Model for the Navier--Stokes Equations 445--462
Albert Cohen A Stochastic Approach to Coarsening of
Cellular Networks . . . . . . . . . . . 463--480
Anne Bourlioux and
Alexandre Ern and
Pascal Turbis A Posteriori Error Estimation for
Subgrid Flamelet Models . . . . . . . . 481--497
Petr Plechá\vc and
Mathias Rousset Implicit Mass-matrix Penalization of
Hamiltonian Dynamics with Application to
Exact Sampling of Stiff Systems . . . . 498--539
Frédéric Coquel and
Quang Long Nguyen and
Marie Postel and
Quang Huy Tran Local Time Stepping Applied to
Implicit-Explicit Methods for Hyperbolic
Systems . . . . . . . . . . . . . . . . 540--570
Max Gunzburger and
Yanzhi Zhang A Quadrature-Rule Type Approximation to
the Quasi-Continuum Method . . . . . . . 571--590
Majid Badieirostami and
Ali Adibi and
Hao-Min Zhou and
Shui-Nee Chow Wiener Chaos Expansion and Simulation of
Electromagnetic Wave Propagation Excited
by a Spatially Incoherent Source . . . . 591--604
Lukasz Szpruch and
Desmond J. Higham Comparing Hitting Time Behavior of
Markov Jump Processes and Their
Diffusion Approximations . . . . . . . . 605--621
Hailiang Liu and
James Ralston Recovery of High Frequency Wave Fields
from Phase Space--Based Measurements . . 622--644
Pierre Degond and
Fabrice Deluzet and
Claudia Negulescu An Asymptotic Preserving Scheme for
Strongly Anisotropic Elliptic Problems 645--666
John Quah and
Dionisios Margetis Electromigration in Macroscopic
Relaxation of Stepped Surfaces . . . . . 667--700
Illia Horenko and
Christof Schütte On Metastable Conformational Analysis of
Nonequilibrium Biomolecular Time Series 701--716
Guy Bouchitté and
Ben Schweizer Homogenization of Maxwell's Equations in
a Split Ring Geometry . . . . . . . . . 717--750
L. Borcea and
F. González del Cueto and
G. Papanicolaou and
C. Tsogka Filtering Random Layering Effects in
Imaging . . . . . . . . . . . . . . . . 751--781
M. Dobson and
M. Luskin and
C. Ortner Sharp Stability Estimates for the
Force-Based Quasicontinuum Approximation
of Homogeneous Tensile Deformation . . . 782--802
S. Pillay and
M. J. Ward and
A. Peirce and
T. Kolokolnikov An Asymptotic Analysis of the Mean First
Passage Time for Narrow Escape Problems:
Part I: Two-Dimensional Domains . . . . 803--835
Alexei F. Cheviakov and
Michael J. Ward and
Ronny Straube An Asymptotic Analysis of the Mean First
Passage Time for Narrow Escape Problems:
Part II: The Sphere . . . . . . . . . . 836--870
Aleksandar Donev and
John B. Bell and
Alejandro L. Garcia and
Berni J. Alder A Hybrid Particle-Continuum Method for
Hydrodynamics of Complex Fluids . . . . 871--911
Josselin Garnier and
Knut Sòlna Wave Transmission through Random
Layering with Pressure Release Boundary
Conditions . . . . . . . . . . . . . . . 912--943
Di Liu Analysis of Multiscale Methods for
Stochastic Dynamical Systems with
Multiple Time Scales . . . . . . . . . . 944--964
Yu Mao and
Bin Dong and
Stanley Osher A Nonlinear PDE-Based Method for Sparse
Deconvolution . . . . . . . . . . . . . 965--976
Victor Ginting and
Axel Målqvist and
Michael Presho A Novel Method for Solving Multiscale
Elliptic Problems with Randomly
Perturbed Data . . . . . . . . . . . . . 977--996
Didier Bresch and
Catherine Choquet and
Laurent Chupin and
Thierry Colin and
Marguerite Gisclon Roughness-Induced Effect at Main Order
on the Reynolds Approximation . . . . . 997--1017
J. Walter and
O. Gonzalez and
J. H. Maddocks On the Stochastic Modeling of Rigid Body
Systems with Application to Polymer
Dynamics . . . . . . . . . . . . . . . . 1018--1053
B. Ilan and
M. I. Weinstein Band-Edge Solitons, Nonlinear
Schrödinger/Gross--Pitaevskii Equations,
and Effective Media . . . . . . . . . . 1055--1101
Simona Perotto and
Alexandre Ern and
Alessandro Veneziani Hierarchical Local Model Reduction for
Elliptic Problems: a Domain
Decomposition Approach . . . . . . . . . 1102--1127
Eric T. Chung and
Yalchin Efendiev Reduced-Contrast Approximations for
High-Contrast Multiscale Flow Problems 1128--1153
Marco Sarich and
Frank Noé and
Christof Schütte On the Approximation Quality of Markov
State Models . . . . . . . . . . . . . . 1154--1177
Igor G. Vladimirov and
A. Y. Klimenko Tracing Diffusion in Porous Media with
Fractal Properties . . . . . . . . . . . 1178--1211
Greg Norgard and
Kamran Mohseni A New Potential Regularization of the
One-Dimensional Euler and Homentropic
Euler Equations . . . . . . . . . . . . 1212--1243
Pierre-Emmanuel Jabin and
Juan Soler A Coupled Boltzmann and Navier--Stokes
Fragmentation Model Induced by a
Fluid-Particle-Spring Interaction . . . 1244--1268
Molei Tao and
Houman Owhadi and
Jerrold E. Marsden Nonintrusive and Structure Preserving
Multiscale Integration of Stiff ODEs,
SDEs, and Hamiltonian Systems with
Hidden Slow Dynamics via Flow Averaging 1269--1324
Shev MacNamara and
Kevin Burrage Stochastic Modeling of Na\"\ive T Cell
Homeostasis for Competing Clonotypes via
the Master Equation . . . . . . . . . . 1325--1347
Carsten Hartmann and
Valentina-Mira Vulcanov and
Christof Schütte Balanced Truncation of Linear
Second-Order Systems: a Hamiltonian
Approach . . . . . . . . . . . . . . . . 1348--1367
Ivo Muha and
Sabine Stichel and
Sabine Attinger and
Gabriel Wittum Coarse Graining on Arbitrary Grids . . . 1368--1382
Jean-François Babadjian and
Eric Bonnetier and
Faouzi Triki Enhancement of Electromagnetic Fields
Caused by Interacting Subwavelength
Cavities . . . . . . . . . . . . . . . . 1383--1418
C. Y. Lee and
B. L. Rozovskii and
H. M. Zhou Randomization of Forcing in Large
Systems of PDEs for Improvement of
Energy Estimates . . . . . . . . . . . . 1419--1438
M. Griebel and
M. Klitz Homogenization and Numerical Simulation
of Flow in Geometries with Textile
Microstructures . . . . . . . . . . . . 1439--1460
Juan Galvis and
Yalchin Efendiev Domain Decomposition Preconditioners for
Multiscale Flows in High-Contrast Media 1461--1483
Guillaume Bal Homogenization with Large Spatial Random
Potential . . . . . . . . . . . . . . . 1484--1510
Kai Huang and
Peijun Li A Two-Scale Multiple Scattering Problem 1511--1534
Marco Sarich and
Christof Schütte and
Eric Vanden-Eijnden Optimal Fuzzy Aggregation of Networks 1535--1561
Christopher P. Calderon and
Josue G. Martinez and
Raymond J. Carroll and
Danny C. Sorensen P-Splines Using Derivative Information 1562--1580
Max Gunzburger and
R. B. Lehoucq A Nonlocal Vector Calculus with
Application to Nonlocal Boundary Value
Problems . . . . . . . . . . . . . . . . 1581--1598
Dorit Ron and
Ilya Safro and
Achi Brandt A Fast Multigrid Algorithm for Energy
Minimization under Planar Density
Constraints . . . . . . . . . . . . . . 1599--1620
Juan Galvis and
Yalchin Efendiev Domain Decomposition Preconditioners for
Multiscale Flows in High Contrast Media:
Reduced Dimension Coarse Spaces . . . . 1621--1644
Pouya Dehghani Tafti and
Michael Unser Fractional Brownian Vector Fields . . . 1645--1670
M. El Ossmani and
P. Poncet Efficiency of Multiscale Hybrid
Grid-Particle Vortex Methods . . . . . . 1671--1690
Andreas Hellander and
Per Lötstedt Incorporating Active Transport of
Cellular Cargo in Stochastic Mesoscopic
Models of Living Cells . . . . . . . . . 1691--1714
M. Barchiesi and
S. H. Kang and
T. M. Le and
M. Morini and
M. Ponsiglione A Variational Model for Infinite
Perimeter Segmentations Based on
Lipschitz Level Set Functions: Denoising
while Keeping Finely Oscillatory
Boundaries . . . . . . . . . . . . . . . 1715--1741
Weizhu Bao and
Xuanchun Dong and
Shu Wang Singular Limits of
Klein--Gordon--Schrödinger Equations to
Schrödinger--Yukawa Equations . . . . . . 1742--1769
Rui Du and
Pingbing Ming Convergence of the Heterogeneous
Multiscale Finite Element Method for
Elliptic Problems with Nonsmooth
Microstructures . . . . . . . . . . . . 1770--1783
J. P. Agnelli and
M. Cadeiras and
E. G. Tabak and
C. V. Turner and
E. Vanden-Eijnden Clustering and Classification through
Normalizing Flows in Feature Space . . . 1784--1802
Jianliang Qian and
Lexing Ying Fast Multiscale Gaussian Wavepacket
Transforms and Multiscale Gaussian Beams
for the Wave Equation . . . . . . . . . 1803--1837
Hao Wu and
Frank Noé Probability Distance Based Compression
of Hidden Markov Models . . . . . . . . 1838--1861
Guy Bouchitté and
Sébastien Guenneau and
Frédéric Zolla Homogenization of Dielectric Photonic
Quasi Crystals . . . . . . . . . . . . . 1862--1881
Svetlana Dubinkina and
Jason Frank and
Ben Leimkuhler Simplified Modelling of a Thermal Bath,
with Application to a Fluid Vortex
System . . . . . . . . . . . . . . . . . 1882--1901
Abderrahmane Bendali and
Abdelkader Makhlouf and
Sébastien Tordeux Justification of the Cavity Model in the
Numerical Simulation of Patch Antennas
by the Method of Matched Asymptotic
Expansions . . . . . . . . . . . . . . . 1902--1922
Mihai Bostan Gyrokinetic Vlasov Equation in Three
Dimensional Setting. Second Order
Approximation . . . . . . . . . . . . . 1923--1957
Lei Zhang and
Leonid Berlyand and
Maxim V. Fedorov and
Houman Owhadi Global Energy Matching Method for
Atomistic-to-Continuum Modeling of
Self-Assembling Biopolymer Aggregates 1958--1980
Liliana Borcea and
Leila Issa and
Chrysoula Tsogka Source Localization in Random Acoustic
Waveguides . . . . . . . . . . . . . . . 1981--2022
B. Amaziane and
S. Antontsev and
L. Pankratov and
A. Piatnitski Homogenization of Immiscible
Compressible Two-Phase Flow in Porous
Media: Application to Gas Migration in a
Nuclear Waste Repository . . . . . . . . 2023--2047
Antonio Baeza and
Vicent Caselles and
Pau Gargallo and
Nicolas Papadakis A Narrow Band Method for the Convex
Formulation of Discrete Multilabel
Problems . . . . . . . . . . . . . . . . 2048--2078
K. Nimsaila and
I. Timofeyev Markov Chain Stochastic Parametrizations
of Essential Variables . . . . . . . . . 2079--2096
Christopher P. Calderon and
Josue G. Martinez and
Raymond J. Carroll and
Danny C. Sorensen Erratum: P-Splines Using Derivative
Information . . . . . . . . . . . . . . 2097--2097
Matthias Schäfer and
Martin Frank and
C. David Levermore Diffusive Corrections to $ {P_N} $
Approximations . . . . . . . . . . . . . 1--28
K. Kumar and
T. L. van Noorden and
I. S. Pop Effective Dispersion Equations for
Reactive Flows Involving Free Boundaries
at the Microscale . . . . . . . . . . . 29--58
David M. Ackerman and
J. W. Evans Boundary Conditions for
Burton--Cabrera--Frank Type Step-Flow
Models: Coarse-Graining of Discrete $2$D
Deposition--Diffusion Equations . . . . 59--88
N. Chumchob and
K. Chen and
Carlos Brito-Loeza A Fourth-Order Variational Image
Registration Model and Its Fast
Multigrid Algorithm . . . . . . . . . . 89--128
T. Voss and
J. M. A. Scherpen Structure Preserving Spatial
Discretization of a $1$-D Piezoelectric
Timoshenko Beam . . . . . . . . . . . . 129--154
Emiliano Cristiani and
Benedetto Piccoli and
Andrea Tosin Multiscale Modeling of Granular Flows
with Application to Crowd Dynamics . . . 155--182
Ben G. Fitzpatrick and
G. Yin and
Le Yi Wang Robustness, Weak Stability, and
Stability in Distribution of Adaptive
Filtering Algorithms under Model
Mismatch . . . . . . . . . . . . . . . . 183--207
Xiaoying Dai and
Xingao Gong and
Zhang Yang and
Dier Zhang and
Aihui Zhou Finite Volume Discretizations for
Eigenvalue Problems with Applications to
Electronic Structure Calculations . . . 208--240
Jennifer Young and
Sorin Mitran A Continuum-Microscopic Algorithm for
Modeling Fibrous, Heterogeneous Media
with Dynamic Microstructures . . . . . . 241--257
Shi Jin and
Peng Qi and
Zhiwen Zhang An Eulerian Surface Hopping Method for
the Schrödinger Equation with Conical
Crossings . . . . . . . . . . . . . . . 258--281
Philippe Michel Multiscale Modeling of Follicular
Ovulation as a Mass and Maturity
Dynamical System . . . . . . . . . . . . 282--313
Rainer Backofen and
Manuel Gräf and
Daniel Potts and
Simon Praetorius and
Axel Voigt and
Thomas Witkowski A Continuous Approach to Discrete
Ordering on $ \mathbb {S}^2 $ . . . . . 314--334
Yi Sun and
Russel Caflisch and
Bjorn Engquist A Multiscale Method for Epitaxial Growth 335--354
Rong-Qing Jia and
Hanqing Zhao and
Wei Zhao Relaxation Methods for Image Denoising
Based on Difference Schemes . . . . . . 355--372
Ivo Babu\vska and
Robert Lipton Optimal Local Approximation Spaces for
Generalized Finite Element Methods with
Application to Multiscale Problems . . . 373--406
Dorit Ron and
Ilya Safro and
Achi Brandt Relaxation-Based Coarsening and
Multiscale Graph Organization . . . . . 407--423
V. Maz'ya and
A. Movchan and
M. Nieves Mesoscale Asymptotic Approximations to
Solutions of Mixed Boundary Value
Problems in Perforated Domains . . . . . 424--448
Phaedon-Stelios Koutsourelakis and
Elias Bilionis Scalable Bayesian Reduced-Order Models
for Simulating High-Dimensional
Multiscale Dynamical Systems . . . . . . 449--485
F. Rizzi and
M. Salloum and
Y. M. Marzouk and
R.-G. Xu and
M. L. Falk and
T. P. Weihs and
G. Fritz and
O. M. Knio Bayesian Inference of Atomic Diffusivity
in a Binary Ni/Al System Based on
Molecular Dynamics . . . . . . . . . . . 486--512
A. Anantharaman and
C. Le Bris A Numerical Approach Related to
Defect-Type Theories for Some Weakly
Random Problems in Homogenization . . . 513--544
Jan-Hendrik Prinz and
Martin Held and
Jeremy C. Smith and
Frank Noé Efficient Computation, Sensitivity, and
Error Analysis of Committor
Probabilities for Complex Dynamical
Processes . . . . . . . . . . . . . . . 545--567
Thierry Goudon and
Martin Parisot On the Spitzer--Härm Regime and Nonlocal
Approximations: Modeling, Analysis, and
Numerical Simulations . . . . . . . . . 568--600
Jens Brouwer and
Ingenuin Gasser and
Michael Herty Gas Pipeline Models Revisited: Model
Hierarchies, Nonisothermal Models, and
Simulations of Networks . . . . . . . . 601--623
Todd Arbogast Homogenization-Based Mixed Multiscale
Finite Elements for Problems with
Anisotropy . . . . . . . . . . . . . . . 624--653
Braxton Osting and
Michael I. Weinstein Emergence of Periodic Structure from
Maximizing the Lifetime of a Bound State
Coupled to Radiation . . . . . . . . . . 654--685
Björn Engquist and
Lexing Ying Sweeping Preconditioner for the
Helmholtz Equation: Moving Perfectly
Matched Layers . . . . . . . . . . . . . 686--710
Songting Luo and
Yifeng Yu and
Hongkai Zhao A New Approximation for Effective
Hamiltonians for Homogenization of a
class of Hamilton--Jacobi Equations . . 711--734
Jay M. Newby and
James P. Keener An Asymptotic Analysis of the Spatially
Inhomogeneous Velocity-Jump Process . . 735--765
Assyr Abdulle and
Marcus J. Grote Finite Element Heterogeneous Multiscale
Method for the Wave Equation . . . . . . 766--792
Jürgen Reingruber and
David Holcman The Narrow Escape Problem in a Flat
Cylindrical Microdomain with Application
to Diffusion in the Synaptic Cleft . . . 793--816
Habib Ammari and
Josselin Garnier and
Hyeonbae Kang and
Hyundae Lee and
Knut Sòlna The Mean Escape Time for a Narrow Escape
Problem with Multiple Switching Gates 817--833
Adina Ciomaga and
Pascal Monasse and
Jean-Michel Morel Image Visualization and Restoration by
Curvature Motions . . . . . . . . . . . 834--871
Jorge S. Leiva and
Pablo J. Blanco and
Gustavo C. Buscaglia Partitioned Analysis for
Dimensionally-Heterogeneous Hydraulic
Networks . . . . . . . . . . . . . . . . 872--903
Alexander V. Shapeev Consistent Energy-Based
Atomistic/Continuum Coupling for
Two-Body Potentials in One and Two
Dimensions . . . . . . . . . . . . . . . 905--932
R. Suribhatla and
I. Jankovic and
A. Fiori and
A. Zarlenga and
G. Dagan Effective Conductivity of an Anisotropic
Heterogeneous Medium of Random
Conductivity Distribution . . . . . . . 933--954
G. Simpson and
M. I. Weinstein Coherent Structures and Carrier Shocks
in the Nonlinear Periodic Maxwell
Equations . . . . . . . . . . . . . . . 955--990
K. Lipnikov and
J. D. Moulton and
D. Svyatskiy Adaptive Strategies in the Multilevel
Multiscale Mimetic ($ M^3$) Method for
Two-Phase Flows in Porous Media . . . . 991--1016
Vincent Duchêne and
Michael I. Weinstein Scattering, Homogenization, and
Interface Effects for Oscillatory
Potentials with Strong Singularities . . 1017--1063
Axel Målqvist Multiscale Methods for Elliptic Problems 1064--1086
G. Yin and
Le Yi Wang and
Yu Sun Stochastic Recursive Algorithms for
Networked Systems with Delay and Random
Switching: Multiscale Formulations and
Asymptotic Properties . . . . . . . . . 1087--1112
Lyubima B. Simeonova Nathan and
David C. Dobson and
Olakunle Eso and
Kenneth M. Golden Spatial Bounds on the Effective Complex
Permittivity for Time-Harmonic Waves in
Random Media . . . . . . . . . . . . . . 1113--1143
Naoya Okamoto and
Katsunori Yoshimatsu and
Kai Schneider and
Marie Farge and
Yukio Kaneda Coherent Vorticity Simulation of
Three-Dimensional Forced Homogeneous
Isotropic Turbulence . . . . . . . . . . 1144--1161
A. Fiori and
G. Dagan and
I. Jankovic Upscaling of Steady Flow in
Three-Dimensional Highly Heterogeneous
Formations . . . . . . . . . . . . . . . 1162--1180
J. Casado-Díaz and
C. Castro and
M. Luna-Laynez and
E. Zuazua Numerical Approximation of a
One-Dimensional Elliptic Optimal Design
Problem . . . . . . . . . . . . . . . . 1181--1216
Ioana Cipcigan and
Muruhan Rathinam Uniform Convergence of Interlaced Euler
Method for Stiff Stochastic Differential
Equations . . . . . . . . . . . . . . . 1217--1252
Sebastien Motsch and
Laurent Navoret Numerical Simulations of a
Nonconservative Hyperbolic System with
Geometric Constraints Describing
Swarming Behavior . . . . . . . . . . . 1253--1275
Sören Bartels and
Martin Kruzík An Efficient Approach to the Numerical
Solution of Rate-Independent Problems
with Nonconvex Energies . . . . . . . . 1276--1300
Eric Lorenz and
Alfons G. Hoekstra Heterogeneous Multiscale Simulations of
Suspension Flow . . . . . . . . . . . . 1301--1326
A. Vellender and
G. S. Mishuris and
A. B. Movchan Weight Function in a Bimaterial Strip
Containing an Interfacial Crack and an
Imperfect Interface. Application to
Bloch--Floquet Analysis in a Thin
Inhomogeneous Structure with Cracks . . 1327--1349
O. Iliev and
R. Lazarov and
J. Willems Variational Multiscale Finite Element
Method for Flows in Highly Porous Media 1350--1372
Houman Owhadi and
Lei Zhang Localized Bases for Finite-Dimensional
Homogenization Approximations with
Nonseparated Scales and High Contrast 1373--1398
Yang Chen and
Yinsheng Li and
Weimin Yu and
Limin Luo and
Wufan Chen and
Christine Toumoulin Joint-MAP Tomographic Reconstruction
with Patch Similarity Based Mixture
Prior Model . . . . . . . . . . . . . . 1399--1419
Ben Vanderlei and
James J. Feng and
Leah Edelstein-Keshet A Computational Model of Cell
Polarization and Motility Coupling
Mechanics and Biochemistry . . . . . . . 1420--1443
M. J. Nieves and
A. B. Movchan and
I. S. Jones Asymptotic Approximation for the Weight
Function in a Solid with a
Surface-Breaking Crack and Small Voids 1444--1458
Konstantin Fackeldey and
Dorian Krause and
Rolf Krause and
Christoph Lenzen Coupling Molecular Dynamics and Continua
with Weak Constraints . . . . . . . . . 1459--1494
Pavel Belík and
Mitchell Luskin Analysis of the Quasi-Nonlocal
Approximation of Linear and Circular
Chains in the Plane . . . . . . . . . . 1495--1527
Klaus Frick and
Dirk A. Lorenz and
Elena Resmerita Morozov's Principle for the Augmented
Lagrangian Method Applied to Linear
Inverse Problems . . . . . . . . . . . . 1528--1548
Guillaume Bal and
Wenjia Jing Corrector Theory for MsFEM and HMM in
Random Media . . . . . . . . . . . . . . 1549--1587
Daan Crommelin and
Eric Vanden-Eijnden Diffusion Estimation from Multiscale
Data by Operator Eigenpairs . . . . . . 1588--1623
Arnold D. Kim and
Miguel Moscoso Diffusion of Polarized Light . . . . . . 1624--1645
Tobias Jahnke On Reduced Models for the Chemical
Master Equation . . . . . . . . . . . . 1646--1676
Robert Scheichl and
Panayot S. Vassilevski and
Ludmil T. Zikatanov Weak Approximation Properties of
Elliptic Projections with Functional
Constraints . . . . . . . . . . . . . . 1677--1699
Illia Horenko On Analysis of Nonstationary Categorical
Data Time Series: Dynamical Dimension
Reduction, Model Selection, and
Applications To Computational Sociology 1700--1726
M. Fornasier and
J. Haskovec and
J. Vybíral Particle Systems and Kinetic Equations
Modeling Interacting Agents in High
Dimension . . . . . . . . . . . . . . . 1727--1764
Roland Glantz and
Markus Hilpert Capillary Displacement in Totally
Wetting And Infinitely Long Right Prisms 1765--1800
Esfandiar Nava-Yazdani and
Thomas P. Y. Yu On Donoho's Log-Exp Subdivision Scheme:
Choice of Retraction and Time-Symmetry 1801--1828
Charles Kervrann and
Jérôme Boulanger and
Thierry Pécot and
Patrick Pérez and
Jean Salamero Multiscale Neighborhood-Wise Decision
Fusion for Redundancy Detection in Image
Pairs . . . . . . . . . . . . . . . . . 1829--1865
Paul Dupuis and
Konstantinos Spiliopoulos and
Hui Wang Importance Sampling for Multiscale
Diffusions . . . . . . . . . . . . . . . 1--27
Rafail V. Abramov A Simple Linear Response Closure
Approximation for Slow Dynamics of a
Multiscale System with Linear Coupling 28--47
Panos Stinis Numerical Computation of Solutions of
the Critical Nonlinear Schrödinger
Equation after the Singularity . . . . . 48--60
Natasa Djurdjevac and
Marco Sarich and
Christof Schütte Estimating the Eigenvalue Error of
Markov State Models . . . . . . . . . . 61--81
Sebastian Aland and
Andreas Rätz and
Matthias Röger and
Axel Voigt Buckling Instability of Viral Capsids
--- a Continuum Approach . . . . . . . . 82--110
Fredrik Andersson and
Maarten V. de Hoop and
Herwig Wendt Multiscale Discrete Approximation of
Fourier Integral Operators . . . . . . . 111--145
David F. Anderson and
Desmond J. Higham Multilevel Monte Carlo for Continuous
Time Markov Chains, with Applications in
Biochemical Kinetics . . . . . . . . . . 146--179
Vladimir Mityushev and
Natalia Rylko Optimal Distribution of the
Nonoverlapping Conducting Disks . . . . 180--190
Rémi Joubaud and
Gabriel Stoltz Nonequilibrium Shear Viscosity
Computations with Langevin Dynamics . . 191--216
Josselin Garnier and
Knut Sòlna Coupled Wideangle Wave Approximations 217--244
L. Grasedyck and
I. Greff and
S. Sauter The AL Basis for the Solution of
Elliptic Problems in Heterogeneous Media 245--258
Ruo Li and
Pingbing Ming and
Fengyang Tang An Efficient High Order Heterogeneous
Multiscale Method for Elliptic Problems 259--283
Anna Marciniak-Czochra and
Andro Mikeli\'c Effective Pressure Interface Law for
Transport Phenomena between an
Unconfined Fluid and a Porous Medium
Using Homogenization . . . . . . . . . . 285--305
M. A. Hoefer and
B. Ilan Dark Solitons, Dispersive Shock Waves,
and Transverse Instabilities . . . . . . 306--341
M. Scianna and
L. Preziosi Multiscale Developments of the Cellular
Potts Model . . . . . . . . . . . . . . 342--382
Dionisios Margetis Bose--Einstein Condensation beyond Mean
Field: Many-Body Bound State of Periodic
Microstructure . . . . . . . . . . . . . 383--417
L. Jiang and
D. Copeland and
J. D. Moulton Expanded Mixed Multiscale Finite Element
Methods and Their Applications for Flows
in Porous Media . . . . . . . . . . . . 418--450
Jianfeng Lu and
Xu Yang Frozen Gaussian Approximation for
General Linear Strictly Hyperbolic
Systems: Formulation and Eulerian
Methods . . . . . . . . . . . . . . . . 451--472
P. Arias and
V. Caselles and
G. Facciolo Analysis of a Variational Framework for
Exemplar-Based Image Inpainting . . . . 473--514
Jay Chu and
Björn Engquist and
Masa Prodanovi\'c and
Richard Tsai A Multiscale Method Coupling Network and
Continuum Models in Porous Media I:
Steady-State Single Phase Flow . . . . . 515--549
Maher Salloum and
Khachik Sargsyan and
Reese Jones and
Bert Debusschere and
Habib N. Najm and
Helgi Adalsteinsson A Stochastic Multiscale Coupling Scheme
to Account for Sampling Noise in
Atomistic-to-Continuum Simulations . . . 550--584
Andreas Hellander and
Stefan Hellander and
Per Lötstedt Coupled Mesoscopic and Microscopic
Simulation of Stochastic
Reaction--Diffusion Processes in Mixed
Dimensions . . . . . . . . . . . . . . . 585--611
A. Amitai and
I. Kupka and
D. Holcman Analysis of the Mean First Looping Time
of a Rod-Polymer . . . . . . . . . . . . 612--632
B. D. Goddard and
G. A. Pavliotis and
S. Kalliadasis The Overdamped Limit of Dynamic Density
Functional Theory: Rigorous Results . . 633--663
D. Peterseim and
S. Sauter Finite Elements for Elliptic Problems
with Highly Varying, Nonperiodic
Diffusion Matrix . . . . . . . . . . . . 665--695
Assyr Abdulle and
Ping Lin and
Alexander V. Shapeev Numerical Methods for Multilattices . . 696--726
Yuliya Gorb and
Alexei Novikov Blow-up of Solutions to a $p$-Laplace
Equation . . . . . . . . . . . . . . . . 727--743
M. Dobson and
C. Ortner and
A. V. Shapeev The Spectrum of the Force-Based
Quasicontinuum Operator for a
Homogeneous Periodic Chain . . . . . . . 744--765
Ynte Vanderhoydonc and
Wim Vanroose Numerical Extraction of a Macroscopic
PDE and a Lifting Operator from a
Lattice Boltzmann Model . . . . . . . . 766--791
Francis Filbet On Deterministic Approximation of the
Boltzmann Equation in a Bounded Domain 792--817
Michael Herrmann and
Barbara Niethammer and
Juan J. L. Velázquez Kramers and Non-Kramers Phase
Transitions in Many-Particle Systems
with Dynamical Constraint . . . . . . . 818--852
Benjamin Ganis and
Gergina Pencheva and
Mary F. Wheeler and
Tim Wildey and
Ivan Yotov A Frozen Jacobian Multiscale Mortar
Preconditioner for Nonlinear Interface
Operators . . . . . . . . . . . . . . . 853--873
Jonathan D. Evans and
Andrea Fernández and
Adrian Muntean Single and Two-Scale Sharp-Interface
Models for Concrete Carbonation ---
Asymptotics and Numerical Approximation 874--905
Andrew Papanicolaou Nonlinear Filters for Hidden Markov
Models of Regime Change with Fast
Mean-Reverting States . . . . . . . . . 906--935
G. S. Mishuris and
A. B. Movchan and
D. Bigoni Dynamics of a Fault Steadily Propagating
within a Structural Interface . . . . . 936--953
L. Jiang and
M. Presho A Resourceful Splitting Technique with
Applications to Deterministic and
Stochastic Multiscale Finite Element
Methods . . . . . . . . . . . . . . . . 954--985
Paul Dupuis and
Yufei Liu and
Nuria Plattner and
J. D. Doll On the Infinite Swapping Limit for
Parallel Tempering . . . . . . . . . . . 986--1022
Xingjie Helen Li and
Mitchell Luskin and
Christoph Ortner Positive Definiteness of the Blended
Force-Based Quasicontinuum Method . . . 1023--1045
Gautam Iyer and
Konstantinos C. Zygalakis Numerical Studies of Homogenization
under a Fast Cellular Flow . . . . . . . 1046--1058
B. Benesová and
T. Roubícek Micro-to-Meso Scale Limit for
Shape-Memory-Alloy Models with Thermal
Coupling . . . . . . . . . . . . . . . . 1059--1089
Andrea L. Bertozzi and
Arjuna Flenner Diffuse Interface Models on Graphs for
Classification of High Dimensional Data 1090--1118
Tobias Jahnke and
Michael Kreim Error Bound for Piecewise Deterministic
Processes Modeling Stochastic Reaction
Systems . . . . . . . . . . . . . . . . 1119--1147
Naoufel Ben Abdallah and
Marjolaine Puel and
Michael S. Vogelius Diffusion and Homogenization Limits with
Separate Scales . . . . . . . . . . . . 1148--1179
G. Ariel and
J. M. Sanz-Serna and
R. Tsai A Multiscale Technique for Finding Slow
Manifolds of Stiff Mechanical Systems 1180--1203
D. Holcman and
Z. Schuss Brownian Motion in Dire Straits . . . . 1204--1231
Stephan Menz and
Juan C. Latorre and
Christof Schütte and
Wilhelm Huisinga Hybrid Stochastic--Deterministic
Solution of the Chemical Master Equation 1232--1262
Eike Meerbach and
Juan C. Latorre and
Christof Schütte Sequential Change Point Detection in
Molecular Dynamics Trajectories . . . . 1263--1291
Jizu Huang and
Liqun Cao and
Sam Yang A Molecular Dynamics-Continuum Coupled
Model for Heat Transfer in Composite
Materials . . . . . . . . . . . . . . . 1292--1316
Yalchin Efendiev and
Juan Galvis and
Florian Thomines A Systematic Coarse-Scale Model
Reduction Technique for
Parameter-Dependent Flows in Highly
Heterogeneous Media and Its Applications 1317--1343
Martins Bruveris and
Laurent Risser and
François-Xavier Vialard Mixture of Kernels and Iterated
Semidirect Product of Diffeomorphisms
Groups . . . . . . . . . . . . . . . . . 1344--1368
Florencio Balboa Usabiaga and
John B. Bell and
Rafael Delgado-Buscalioni and
Aleksandar Donev and
Thomas G. Fai and
Boyce E. Griffith and
Charles S. Peskin Staggered Schemes for Fluctuating
Hydrodynamics . . . . . . . . . . . . . 1369--1408
Jérôme Gilles Multiscale Texture Separation . . . . . 1409--1427
F. Rizzi and
H. N. Najm and
B. J. Debusschere and
K. Sargsyan and
M. Salloum and
H. Adalsteinsson and
O. M. Knio Uncertainty Quantification in MD
Simulations. Part I: Forward Propagation 1428--1459
F. Rizzi and
H. N. Najm and
B. J. Debusschere and
K. Sargsyan and
M. Salloum and
H. Adalsteinsson and
O. M. Knio Uncertainty Quantification in MD
Simulations. Part II: Bayesian Inference
of Force-Field Parameters . . . . . . . 1460--1492
David F. Anderson and
Masanori Koyama Weak Error Analysis of Numerical Methods
for Stochastic Models of Population
Processes . . . . . . . . . . . . . . . 1493--1524
G. Albi and
L. Pareschi Binary Interaction Algorithms for the
Simulation of Flocking and Swarming
Dynamics . . . . . . . . . . . . . . . . 1--29
Donald L. Brown and
Yalchin Efendiev and
Viet Ha Hoang An Efficient Hierarchical Multiscale
Finite Element Method for Stokes
Equations in Slowly Varying Media . . . 30--58
B. Langwallner and
C. Ortner and
E. Süli Atomistic-to-Continuum Coupling
Approximation of a One-Dimensional Toy
Model for Density Functional Theory . . 59--91
Mariya Ptashnyk Two-Scale Convergence for Locally
Periodic Microstructures and
Homogenization of Plywood Structures . . 92--117
P. Wang and
D. M. Tartakovsky and
K. D. Jarman, Jr. and
A. M. Tartakovsky CDF Solutions of Buckley--Leverett
Equation with Uncertain Parameters . . . 118--133
Rafail V. Abramov A Simple Closure Approximation for Slow
Dynamics of a Multiscale System:
Nonlinear and Multiplicative Coupling 134--151
Natalia Rylko and
Beata Krzaczek and
Vladimir Mityushev Conductivity of Fibre Composites with
Fractures on the Boundary of Inclusions 152--161
Tomás Dohnal and
Willy Dörfler Coupled Mode Equation Modeling for
Out-of-Plane Gap Solitons in $2$D
Photonic Crystals . . . . . . . . . . . 162--191
Yue Chen and
Robert Lipton Double Negative Dispersion Relations
from Coated Plasmonic Rods . . . . . . . 192--212
Santtu T. T. Ollila and
Christopher J. Smith and
Tapio Ala-Nissila and
Colin Denniston The Hydrodynamic Radius of Particles in
the Hybrid Lattice Boltzmann--Molecular
Dynamics Method . . . . . . . . . . . . 213--243
Kanna Nakamura and
Dionisios Margetis Discrete and Continuum Relaxation
Dynamics of Faceted Crystal Surface in
Evaporation Models . . . . . . . . . . . 244--281
John Harlim and
Andrew J. Majda Test Models for Filtering with
Superparameterization . . . . . . . . . 282--308
Dumitru Trucu and
Ping Lin and
Mark A. J. Chaplain and
Yangfan Wang A Multiscale Moving Boundary Model
Arising in Cancer Invasion . . . . . . . 309--335
José A. Carrillo and
Bokai Yan An Asymptotic Preserving Scheme for the
Diffusive Limit of Kinetic Systems for
Chemotaxis . . . . . . . . . . . . . . . 336--361
E. J. Carr and
I. W. Turner and
P. Perré A Dual-Scale Modeling Approach for
Drying Hygroscopic Porous Media . . . . 362--384
Tiejun Li and
Pingwen Zhang and
Wei Zhang Nucleation Rate Calculation for the
Phase Transition of Diblock Copolymers
under Stochastic Cahn--Hilliard Dynamics 385--409
Dionisios Margetis Erratum: Bose--Einstein Condensation
beyond Mean Field: Many-Body Bound State
of Periodic Microstructure . . . . . . . 410--410
Rémi Joubaud and
Gabriel Stoltz Erratum: Nonequilibrium Shear Viscosity
Computations with Langevin Dynamics . . 411--414
Jana de Wiljes and
Andrew Majda and
Illia Horenko An Adaptive Markov Chain Monte Carlo
Approach to Time Series Clustering of
Processes with Regime Transition
Behavior . . . . . . . . . . . . . . . . 415--441
S. Krumscheid and
G. A. Pavliotis and
S. Kalliadasis Semiparametric Drift and Diffusion
Estimation for Multiscale Diffusions . . 442--473
A. Cristiano I. Malossi and
Pablo J. Blanco and
Paolo Crosetto and
Simone Deparis and
Alfio Quarteroni Implicit Coupling of One-Dimensional and
Three-Dimensional Blood Flow Models with
Compliant Vessels . . . . . . . . . . . 474--506
Xiaozhe Hu and
Shuhong Wu and
Xiao-Hui Wu and
Jinchao Xu and
Chen-Song Zhang and
Shiquan Zhang and
Ludmil Zikatanov Combined Preconditioning with
Applications in Reservoir Simulation . . 507--521
Matthew O. Williams and
Peter J. Schmid and
J. Nathan Kutz Hybrid Reduced-Order Integration with
Proper Orthogonal Decomposition and
Dynamic Mode Decomposition . . . . . . . 522--544
T. Blesgen and
F. Fraternali and
J. R. Raney and
C. Daraio Multiscale Mass-Spring Models of Carbon
Nanotube Arrays Accounting for
Mullins-like Behavior and Permanent
Deformation . . . . . . . . . . . . . . 545--565
Maarten V. de Hoop and
Gunther Uhlmann and
András Vasy and
Herwig Wendt Multiscale Discrete Approximations of
Fourier Integral Operators Associated
with Canonical Transformations and
Caustics . . . . . . . . . . . . . . . . 566--585
Swathi Amarala and
Justin W. L. Wan Multigrid Methods for Systems of
Hyperbolic Conservation Laws . . . . . . 586--614
Brian Van Koten and
Christoph Ortner Symmetries of $2$-Lattices and Second
Order Accuracy of the Cauchy--Born Model 615--634
Frank Noé and
Feliks Nüske A Variational Approach to Modeling Slow
Processes in Stochastic Dynamical
Systems . . . . . . . . . . . . . . . . 635--655
Habib Ammari and
Josselin Garnier and
Wenjia Jing Passive Array Correlation-Based Imaging
in a Random Waveguide . . . . . . . . . 656--681
Nam H. Lee and
Jordan Yoder and
Minh Tang and
Carey E. Priebe On Latent Position Inference from Doubly
Stochastic Messaging Activities . . . . 683--718
Frédérique Clément and
Philippe Michel and
Danielle Monniaux and
Thomas Stiehl Coupled Somatic Cell Kinetics and Germ
Cell Growth: Multiscale Model-Based
Insight on Ovarian Follicular
Development . . . . . . . . . . . . . . 719--746
Daniel Elfverson and
Emmanuil H. Georgoulis and
Axel Målqvist An Adaptive Discontinuous Galerkin
Multiscale Method for Elliptic Problems 747--765
Malena I. Espanñol and
Dennis M. Kochmann and
Sergio Conti and
Michael Ortiz A $ \Gamma $-Convergence Analysis of the
Quasicontinuum Method . . . . . . . . . 766--794
Mario S. Mommer Numerical Upscaling of Subdiffusive
Transport through Disordered Media with
Finite Correlation Length . . . . . . . 795--812
G. Yin and
Quan Yuan and
Le Yi Wang Asynchronous Stochastic Approximation
Algorithms for Networked Systems:
Regime-Switching Topologies and
Multiscale Structure . . . . . . . . . . 813--839
J. Guilleminot and
C. Soize Stochastic Model and Generator for
Random Fields with Symmetry Properties:
Application to the Mesoscopic Modeling
of Elastic Random Media . . . . . . . . 840--870
L. M. Joseph and
R. V. Craster Asymptotics for Rayleigh--Bloch Waves
along Lattice Line Defects . . . . . . . 871--889
El Mostafa Kalmoun and
Luis Garrido Trust Region versus Line Search for
Computing the Optical Flow . . . . . . . 890--906
B. Nòetinger An Explicit Formula for Computing the
Sensitivity of the Effective
Conductivity of Heterogeneous Composite
Materials to Local Inclusion Transport
Properties and Geometry . . . . . . . . 907--924
Ingenuin Gasser and
Corrado Lattanzio and
Amelio Maurizi Vehicular Traffic Flow Dynamics on a Bus
Route . . . . . . . . . . . . . . . . . 925--942
Nicola Bellomo and
Abdelghani Bellouquid and
Damian Knopoff From the Microscale to Collective Crowd
Dynamics . . . . . . . . . . . . . . . . 943--963
Takumi Washio and
Jun-ichi Okada and
Akihito Takahashi and
Kazunori Yoneda and
Yoshimasa Kadooka and
Seiryo Sugiura and
Toshiaki Hisada Multiscale Heart Simulation with
Cooperative Stochastic Cross-Bridge
Dynamics and Cellular Structures . . . . 965--999
Josselin Garnier and
George Papanicolaou and
Tzu-Wei Yang Anomalous Shock Displacement
Probabilities for a Perturbed Scalar
Conservation Law . . . . . . . . . . . . 1000--1032
Assyr Abdulle and
Andrea Barth and
Christoph Schwab Multilevel Monte Carlo Methods for
Stochastic Elliptic Multiscale PDEs . . 1033--1070
M. D. Michelotti and
M. T. Heath and
M. West Binning for Efficient Stochastic
Multiscale Particle Simulations . . . . 1071--1096
H. Berestycki and
N. Rodríguez and
L. Ryzhik Traveling Wave Solutions in a
Reaction--Diffusion Model for Criminal
Activity . . . . . . . . . . . . . . . . 1097--1126
H. Le Quang and
Q.-C. He and
H.-T. Le Multiscale Homogenization of Elastic
Layered Composites with Unidirectionally
Periodic Rough Interfaces . . . . . . . 1127--1148
Patrick Henning and
Daniel Peterseim Oversampling for the Multiscale Finite
Element Method . . . . . . . . . . . . . 1149--1175
S. D. Ryan and
L. Berlyand and
B. M. Haines and
D. A. Karpeev A Kinetic Model for Semidilute Bacterial
Suspensions . . . . . . . . . . . . . . 1176--1196
Cory D. Hauck and
Ryan G. McClarren A Collision-Based Hybrid Method for
Time-Dependent, Linear, Kinetic
Transport Equations . . . . . . . . . . 1197--1227
Christophe Besse and
Rémi Carles and
Florian Méhats An Asymptotic Preserving Scheme Based on
a New Formulation for NLS in the
Semiclassical Limit . . . . . . . . . . 1228--1260
Michael Helmers and
Michael Herrmann Interface Dynamics in Discrete
Forward-Backward Diffusion Equations . . 1261--1297
Feng Shi and
Simi Wang and
M. Gregory Forest and
Peter J. Mucha Percolation-Induced Exponential Scaling
in the Large Current Tails of Random
Resistor Networks . . . . . . . . . . . 1298--1310
Matthew O. Williams and
Peter J. Schmid and
J. Nathan Kutz Erratum: Hybrid Reduced-Order
Integration with Proper Orthogonal
Decomposition and Dynamic Mode
Decomposition . . . . . . . . . . . . . 1311--1311
Matt Elsey and
Benedikt Wirth Fast Automated Detection of Crystal
Distortion and Crystal Defects in
Polycrystal Images . . . . . . . . . . . 1--24
Hao Wu and
Frank Noé Optimal Estimation of Free Energies and
Stationary Densities from Multiple
Biased Simulations . . . . . . . . . . . 25--54
Durga Prasad Challa and
Mourad Sini On the Justification of the Foldy--Lax
Approximation for the Acoustic
Scattering by Small Rigid Bodies of
Arbitrary Shapes . . . . . . . . . . . . 55--108
Mingge Deng and
George Em Karniadakis Coarse-Grained Modeling of Protein
Unfolding Dynamics . . . . . . . . . . . 109--118
Lijian Jiang and
J. David Moulton and
Jia Wei A Hybrid HDMR for Mixed Multiscale
Finite Element Methods with Application
to Flows in Random Porous Media . . . . 119--151
Xue Jiang and
Weiying Zheng Homogenization of Quasi-static Maxwell's
Equations . . . . . . . . . . . . . . . 152--180
Henry A. Boateng and
Tim P. Schulze and
Peter Smereka Approximating Off-Lattice Kinetic Monte
Carlo . . . . . . . . . . . . . . . . . 181--199
Kristofer Reyes Fast Kinetic Monte Carlo Simulations
Using Hash Table Based Caching with
Applications to Nanowire Growth and
Sintering . . . . . . . . . . . . . . . 200--224
Changho Kim and
George Em Karniadakis Time Correlation Functions of Brownian
Motion and Evaluation of Friction
Coefficient in the Near-Brownian-Limit
Regime . . . . . . . . . . . . . . . . . 225--248
Feng Shi and
Simi Wang and
M. Gregory Forest and
Peter J. Mucha and
Ruhai Zhou Network-Based Assessments of
Percolation-Induced Current
Distributions in Sheared Rod
Macromolecular Dispersions . . . . . . . 249--264
Bernd Schmidt On the Infinite Particle Limit in
Lagrangian Dynamics and Convergence of
Optimal Transportation Meshfree Methods 265--289
David Aristoff and
Tony Leli\`evre Mathematical Analysis of Temperature
Accelerated Dynamics . . . . . . . . . . 290--317
M. Weber and
K. Fackeldey Computing the Minimal Rebinding Effect
Included in a Given Kinetics . . . . . . 318--334
Sergey Alyaev and
Eirik Keilegavlen and
Jan Martin Nordbotten Analysis of Control Volume Heterogeneous
Multiscale Methods for Single Phase Flow
in Porous Media . . . . . . . . . . . . 335--363
Paul N. Patrone and
Dionisios Margetis Connection of Kinetic Monte Carlo Model
for Surfaces to One-Step Flow Theory in
$ 1 + 1 $ Dimensions . . . . . . . . . . 364--395
Alvaro Moraes and
Fabrizio Ruggeri and
Raúl Tempone and
Pedro Vilanova Multiscale Modeling of Wear Degradation
in Cylinder Liners . . . . . . . . . . . 396--409
Weizhu Bao and
Qinglin Tang Numerical Study of Quantized Vortex
Interactions in the Nonlinear Schrödinger
Equation on Bounded Domains . . . . . . 411--439
Tomasz Komorowski and
Alexei Novikov and
Lenya Ryzhik Homogenization Driven by a Fractional
Brownian Motion: The Shear Layer Case 440--457
Zheng Gong and
Zuowei Shen and
Kim-Chuan Toh Image Restoration with Mixed or Unknown
Noises . . . . . . . . . . . . . . . . . 458--487
T. Dohnal and
A. Lamacz and
B. Schweizer Bloch-Wave Homogenization on Large Time
Scales and Dispersive Effective Wave
Equations . . . . . . . . . . . . . . . 488--513
Alfonso Caiazzo and
Joaquín Mura Multiscale Modeling of Weakly
Compressible Elastic Materials in the
Harmonic Regime and Applications to
Microscale Structure Estimation . . . . 514--537
Pierre Degond and
Michael Herty and
Jian-Guo Liu Flow on Sweeping Networks . . . . . . . 538--565
T. Grafke and
R. Grauer and
T. Schäfer and
E. Vanden-Eijnden Arclength Parametrized Hamilton's
Equations for the Calculation of
Instantons . . . . . . . . . . . . . . . 566--580
Alvaro Moraes and
Raul Tempone and
Pedro Vilanova Hybrid Chernoff Tau-Leap . . . . . . . . 581--615
Coloma Ballester and
Felipe Calderero and
Vicent Caselles and
Gabriele Facciolo Multiscale Analysis of Similarities
between Images on Riemannian Manifolds 616--649
Jan S. Hesthaven and
Shun Zhang and
Xueyu Zhu High-Order Multiscale Finite Element
Method for Elliptic Problems . . . . . . 650--666
Yashar Mehmani and
Matthew T. Balhoff Bridging from Pore to Continuum: a
Hybrid Mortar Domain Decomposition
Framework for Subsurface Flow and
Transport . . . . . . . . . . . . . . . 667--693
Jizu Huang and
Liqun Cao Global Regularity and Multiscale
Approach for Thermal Radiation Heat
Transfer . . . . . . . . . . . . . . . . 694--724
Martin Ehler and
Massimo Fornasier and
Juliane Sigl Quasi-linear Compressed Sensing . . . . 725--754
Marion Dziwnik and
Maciek Korzec and
Andreas Münch and
Barbara Wagner Stability Analysis of Unsteady,
Nonuniform Base States in Thin Film
Equations . . . . . . . . . . . . . . . 755--780
Nawaf Bou-Rabee and
Aleksandar Donev and
Eric Vanden-Eijnden Metropolis Integration Schemes for
Self-Adjoint Diffusions . . . . . . . . 781--831
Liliana Borcea and
Josselin Garnier Paraxial Coupling of Propagating Modes
in Three-Dimensional Waveguides with
Random Boundaries . . . . . . . . . . . 832--878
Xavier Blanc and
Benjamin-Edouard Peigney Homogenization of Heat Diffusion in a
Cracked Medium . . . . . . . . . . . . . 879--906
Guangwei Si and
Min Tang and
Xu Yang A Pathway-Based Mean-Field Model for \em
E. coli Chemotaxis: Mathematical
Derivation and Its Hyperbolic and
Parabolic Limits . . . . . . . . . . . . 907--926
Jingzhi Li and
Hongyu Liu and
Jun Zou Locating Multiple Multiscale Acoustic
Scatterers . . . . . . . . . . . . . . . 927--952
Jeremy Gaison and
Shari Moskow and
J. Douglas Wright and
Qimin Zhang Approximation of Polyatomic FPU Lattices
by KdV Equations . . . . . . . . . . . . 953--995
Guanghui Hu and
Andrea Mantile and
Mourad Sini Direct and Inverse Acoustic Scattering
by a Collection of Extended and
Point-Like Scatterers . . . . . . . . . 996--1027
Zaibao Yang and
Wen-An Yong Asymptotic Analysis of the Lattice
Boltzmann Method for Generalized
Newtonian Fluid Flows . . . . . . . . . 1028--1045
Claude Le Bris and
Frédéric Legoll and
Alexei Lozinski An MsFEM Type Approach for Perforated
Domains . . . . . . . . . . . . . . . . 1046--1077
Patrick Henning and
Mario Ohlberger and
Ben Schweizer An Adaptive Multiscale Finite Element
Method . . . . . . . . . . . . . . . . . 1078--1107
Ole Stenzel and
Christian Hirsch and
Tim Brereton and
Bjoern Baumeier and
Denis Andrienko and
Dirk Kroese and
Volker Schmidt A General Framework for Consistent
Estimation of Charge Transport
Properties via Random Walks in Random
Environments . . . . . . . . . . . . . . 1108--1134
Doghonay Arjmand and
Olof Runborg Analysis of Heterogeneous Multiscale
Methods for Long Time Wave Propagation
Problems . . . . . . . . . . . . . . . . 1135--1166
A. Klar and
S. Tiwari A Multiscale Meshfree Method for
Macroscopic Approximations of
Interacting Particle Systems . . . . . . 1167--1192
Andrew Papanicolaou and
Konstantinos Spiliopoulos Filtering the Maximum Likelihood for
Multiscale Problems . . . . . . . . . . 1193--1229
Assyr Abdulle and
Marcus J. Grote and
Christian Stohrer Finite Element Heterogeneous Multiscale
Method for the Wave Equation: Long-Time
Effects . . . . . . . . . . . . . . . . 1230--1257
Christoph Ortner and
Alexander V. Shapeev and
Lei Zhang (In-)stability and Stabilization of
QNL-Type Atomistic-to-Continuum Coupling
Methods . . . . . . . . . . . . . . . . 1258--1293
D. Holcman and
Z. Schuss Oscillatory Survival Probability and
Eigenvalues of the Non-Self-Adjoint
Fokker--Planck Operator . . . . . . . . 1294--1308
Josselin Garnier and
Knut Sòlna Wave Backscattering by Point Scatterers
in the Random Paraxial Regime . . . . . 1309--1334
David Benoit and
Claude Le Bris and
Tony Leli\`evre Macroscopic Limit of a One-Dimensional
Model for Aging Fluids . . . . . . . . . 1335--1378
Xiantao Li and
Pingbing Ming A Study on the Quasi-continuum
Approximations of a One-Dimensional
Fracture Model . . . . . . . . . . . . . 1379--1400
Benjamin Ganis and
Kundan Kumar and
Gergina Pencheva and
Mary F. Wheeler and
Ivan Yotov A Global Jacobian Method for Mortar
Discretizations of a Fully Implicit
Two-Phase Flow Model . . . . . . . . . . 1401--1423
Weibing Deng and
Haijun Wu A Combined Finite Element and Multiscale
Finite Element Method for the Multiscale
Elliptic Problems . . . . . . . . . . . 1424--1457
Peyman Tavallali and
Thomas Y. Hou and
Zuoqiang Shi Extraction of Intrawave Signals Using
the Sparse Time-Frequency Representation
Method . . . . . . . . . . . . . . . . . 1458--1493
Liliana Borcea and
Yuliya Gorb and
Yingpei Wang Asymptotic Approximation of the
Dirichlet to Neumann Map of High
Contrast Conductive Media . . . . . . . 1494--1532
Laurent Gosse Redheffer Products and Numerical
Approximation of Currents in
One-Dimensional Semiconductor Kinetic
Models . . . . . . . . . . . . . . . . . 1533--1560
Lei Zhang and
Liqun Cao and
Jianlan Luo Multiscale Analysis and Computation for
a Stationary Schrödinger--Poisson System
in Heterogeneous Nanostructures . . . . 1561--1591
Christian Lubich and
Daniel Weiss Numerical Integrators for Motion under a
Strong Constraining Force . . . . . . . 1592--1606
Paolo Antonelli and
Agissilaos Athanassoulis and
Zhongyi Huang and
Peter A. Markowich Numerical Simulations of X-Ray Free
Electron Lasers (XFEL) . . . . . . . . . 1607--1621
Bingxing Xia and
Viet Ha Hoang High Dimensional Finite Elements for
Multiscale Wave Equations . . . . . . . 1622--1666
Hui Xie and
Xuejun Xu Mass Conservative Domain Decomposition
Preconditioners for Multiscale Finite
Volume Method . . . . . . . . . . . . . 1667--1690
Eric T. Chung and
Yalchin Efendiev and
Wing Tat Leung Generalized Multiscale Finite Element
Methods for Wave Propagation in
Heterogeneous Media . . . . . . . . . . 1691--1721
Guo Luo and
Thomas Y. Hou Toward the Finite-Time Blowup of the
$3$D Axisymmetric Euler Equations: a
Numerical Investigation . . . . . . . . 1722--1776
Y. Almog The Clausius--Mossotti Formula in a
Dilute Random Medium with Fixed Volume
Fraction . . . . . . . . . . . . . . . . 1777--1799
Alan Mackey and
Hayden Schaeffer and
Stanley Osher On the Compressive Spectral Method . . . 1800--1827
Huajie Chen and
Xiaoying Dai and
Xingao Gong and
Lianhua He and
Aihui Zhou Adaptive Finite Element Approximations
for Kohn--Sham Models . . . . . . . . . 1828--1869
Shibin Dai and
Qiang Du Coarsening Mechanism for Systems
Governed by the Cahn--Hilliard Equation
with Degenerate Diffusion Mobility . . . 1870--1889
Björn Engquist and
Christina Frederick Nonuniform Sampling and Multiscale
Computation . . . . . . . . . . . . . . 1890--1901
S. Etter and
P. Grohs and
A. Obermeier FFRT: a Fast Finite Ridgelet Transform
for Radiative Transport . . . . . . . . 1--42
Paul Cazeaux and
Céline Grandmont and
Yvon Maday Homogenization of a Model for the
Propagation of Sound in the Lungs . . . 43--71
K. D. Cherednichenko and
S. Cooper and
S. Guenneau Spectral Analysis of One-Dimensional
High-Contrast Elliptic Problems with
Periodic Coefficients . . . . . . . . . 72--98
Ran Tao and
Zhen Wu and
Qing Zhang Optimal Switching under a
Regime-Switching Model with
Two-Time-Scale Markov Chains . . . . . . 99--131
Mathias Schäffner and
Anja Schlömerkemper On a $ \Gamma $-Convergence Analysis of
a Quasicontinuum Method . . . . . . . . 132--172
Zhiwen Zhang and
Maolin Ci and
Thomas Y. Hou A Multiscale Data-Driven Stochastic
Method for Elliptic PDEs with Random
Coefficients . . . . . . . . . . . . . . 173--204
Lihui Chai and
Shi Jin and
Qin Li and
Omar Morandi A Multiband Semiclassical Model for
Surface Hopping Quantum Dynamics . . . . 205--230
J. C. Tzou and
T. Kolokolnikov Mean First Passage Time for a Small
Rotating Trap inside a Reflective Disk 231--255
A. Abdulle and
O. Budác An Adaptive Finite Element Heterogeneous
Multiscale Method for Stokes Flow in
Porous Media . . . . . . . . . . . . . . 256--290
C. Chalons and
M. Massot and
A. Vié On the Eulerian Large Eddy Simulation of
Disperse Phase Flows: an Asymptotic
Preserving Scheme for Small Stokes
Number Flows . . . . . . . . . . . . . . 291--315
Jan S. Hesthaven and
Shun Zhang and
Xueyu Zhu Reduced Basis Multiscale Finite Element
Methods for Elliptic Problems . . . . . 316--337
Eric T. Chung and
Yalchin Efendiev and
Chak Shing Lee Mixed Generalized Multiscale Finite
Element Methods and Applications . . . . 338--366
Andro Mikeli\'c and
Mary F. Wheeler and
Thomas Wick A Phase-Field Method for Propagating
Fluid-Filled Fractures Coupled to a
Surrounding Porous Medium . . . . . . . 367--398
Souleymane Kadri Harouna and
Valérie Perrier Divergence-Free Wavelet Projection
Method for Incompressible Viscous Flow
on the Square . . . . . . . . . . . . . 399--422
Lexing Ying Fast Directional Computation of High
Frequency Boundary Integrals via Local
FFTs . . . . . . . . . . . . . . . . . . 423--439
David I. Ketcheson and
Manuel Quezada de Luna Diffractons: Solitary Waves Created by
Diffraction in Periodic Media . . . . . 440--458
Lexing Ying Sparsifying Preconditioner for
Pseudospectral Approximations of
Indefinite Systems on Periodic
Structures . . . . . . . . . . . . . . . 459--471
Donald L. Brown and
Yalchin Efendiev and
Guanglian Li and
Viktoria Savatorova Homogenization of High-Contrast Brinkman
Flows . . . . . . . . . . . . . . . . . 472--490
Christopher Harder and
Diego Paredes and
Frédéric Valentin On a Multiscale Hybrid-Mixed Method for
Advective-Reactive Dominated Problems
with Heterogeneous Coefficients . . . . 491--518
Frédéric Legoll and
William Minvielle A Control Variate Approach Based on a
Defect-Type Theory for Variance
Reduction in Stochastic Homogenization 519--550
Jingrun Chen and
Carlos J. GarcÍa-Cervera and
Xu Yang A Mean-Field Model for Spin Dynamics in
Multilayered Ferromagnetic Media . . . . 551--570
Hyea Hyun Kim and
Eric T. Chung A BDDC Algorithm with Enriched Coarse
Spaces for Two-Dimensional Elliptic
Problems with Oscillatory and High
Contrast Coefficients . . . . . . . . . 571--593
Olga Kaiser and
Dimitri Igdalov and
Illia Horenko Statistical Regression Analysis of
Threshold Excesses with Systematically
Missing Covariates . . . . . . . . . . . 594--613
Yingzhou Li and
Haizhao Yang and
Lexing Ying A Multiscale Butterfly Algorithm for
Multidimensional Fourier Integral
Operators . . . . . . . . . . . . . . . 614--631
S. Reuther and
A. Voigt The Interplay of Curvature and Vortices
in Flow on Curved Surfaces . . . . . . . 632--643
Lexing Ying Sparsifying Preconditioner for the
Lippmann--Schwinger Equation . . . . . . 644--660
Xin Wang and
Liqun Cao and
Yaushu Wong Multiscale Computation and Convergence
for Coupled Thermoelastic System in
Composite Materials . . . . . . . . . . 661--690
Yoonsang Lee and
Andrew J. Majda Multiscale Methods for Data Assimilation
in Turbulent Systems . . . . . . . . . . 691--713
Yingzhou Li and
Haizhao Yang and
Eileen R. Martin and
Kenneth L. Ho and
Lexing Ying Butterfly Factorization . . . . . . . . 714--732
Leland Jefferis and
Shi Jin A Gaussian Beam Method for High
Frequency Solution of Symmetric
Hyperbolic Systems with Polarized Waves 733--765
Jingrun Chen and
Carlos J. García-Cervera and
Xiantao Li An Atomistic/Continuum Coupling Method
Using Enriched Bases . . . . . . . . . . 766--789
Chunguang Liu and
Zuoqiang Shi and
Thomas Y. Hou On the Uniqueness of Sparse
Time-Frequency Representation of
Multiscale Data . . . . . . . . . . . . 790--811
Houman Owhadi Bayesian Numerical Homogenization . . . 812--828
Lexing Ying Directional Preconditioner for $2$D High
Frequency Obstacle Scattering . . . . . 829--846
Ricardo Alonso and
Liliana Borcea Electromagnetic Wave Propagation in
Random Waveguides . . . . . . . . . . . 847--889
Andrew Binder and
Mitchell Luskin and
Danny Perez and
Arthur F. Voter Analysis of Transition State Theory
Rates upon Spatial Coarse-Graining . . . 890--915
A. Abdulle and
M. E. Huber and
G. Vilmart Linearized Numerical Homogenization
Method for Nonlinear Monotone Parabolic
Multiscale Problems . . . . . . . . . . 916--952
Maher Salloum and
Khachik Sargsyan and
Reese Jones and
Habib N. Najm and
Bert Debusschere Quantifying Sampling Noise and
Parametric Uncertainty in
Atomistic-to-Continuum Simulations Using
Surrogate Models . . . . . . . . . . . . 953--976
Song Mei and
Pingwen Zhang On a Molecular Based Q-Tensor Model for
Liquid Crystals with Density Variations 977--1000
Ian Grooms and
Yoonsang Lee and
Andrew J. Majda Numerical Schemes for Stochastic
Backscatter in the Inverse Cascade of
Quasigeostrophic Turbulence . . . . . . 1001--1021
Josselin Garnier and
Knut Sòlna White-Noise Paraxial Approximation for a
General Random Hyperbolic System . . . . 1022--1060
Mariya Ptashnyk Locally Periodic Unfolding Method and
Two-Scale Convergence on Surfaces of
Locally Periodic Microstructures . . . . 1061--1105
Yalchin Efendiev and
Cornelia Kronsbein and
Frédéric Legoll Multilevel Monte Carlo Approaches for
Numerical Homogenization . . . . . . . . 1107--1135
Moongyu Park and
John H. Cushman Upscaling Interpretation of Nonlocal
Fields, Gradients, and Divergences . . . 1136--1145
B. P. Muljadi and
J. Narski and
A. Lozinski and
P. Degond Nonconforming Multiscale Finite Element
Method for Stokes Flows in Heterogeneous
Media. Part I: Methodologies and
Numerical Experiments . . . . . . . . . 1146--1172
C. Guerrier and
D. Holcman Search Time for a Small Ribbon and
Application to Vesicular Release at
Neuronal Synapses . . . . . . . . . . . 1173--1193
W. F. Thompson and
R. A. Kuske and
A. H. Monahan Stochastic Averaging of Dynamical
Systems with Multiple Time Scales Forced
with $ \alpha $-Stable Noise . . . . . . 1194--1223
M. I. Delgado and
M. J. Ward and
D. Coombs Conditional Mean First Passage Times to
Small Traps in a $3$-D Domain with a
Sticky Boundary: Applications to T Cell
Searching Behavior in Lymph Nodes . . . 1224--1258
Huajie Chen and
Gero Friesecke Pair Densities in Density Functional
Theory . . . . . . . . . . . . . . . . . 1259--1289
Konstantinos Spiliopoulos Rare Event Simulation for Multiscale
Diffusions in Random Environments . . . 1290--1311
Yuliya Gorb Singular Behavior of Electric Field of
High-Contrast Concentrated Composites 1312--1326
H. Lei and
X. Yang and
B. Zheng and
G. Lin and
N. A. Baker Constructing Surrogate Models of Complex
Systems with Enhanced Sparsity:
Quantifying the Influence of
Conformational Uncertainty in
Biomolecular Solvation . . . . . . . . . 1327--1353
M. Burger and
T. Esposito and
C. I. Zeppieri Second-Order Edge-Penalization in the
Ambrosio--Tortorelli functional . . . . 1354--1389
Arnab Ganguly and
Derya Altintan and
Heinz Koeppl Jump-Diffusion Approximation of
Stochastic Reaction Dynamics: Error
Bounds and Algorithms . . . . . . . . . 1390--1419
Paul C. Bressloff and
Sean D. Lawley Escape from Subcellular Domains with
Randomly Switching Boundaries . . . . . 1420--1445
Liqun Cao and
Keqi Li and
Jianlan Luo and
Yaushu Wong A Multiscale Approach and a Hybrid
FE-FDTD Algorithm for $3$D
Time-Dependent Maxwell's Equations in
Composite Materials . . . . . . . . . . 1446--1477
Andrew B. Duncan Homogenization of Lateral Diffusion on a
Random Surface . . . . . . . . . . . . . 1478--1506
Frederike Kissling and
Christian Rohde The Computation of Nonclassical Shock
Waves in Porous Media with a
Heterogeneous Multiscale Method: The
Multidimensional Case . . . . . . . . . 1507--1541
Haizhao Yang and
Jianfeng Lu and
Lexing Ying Crystal Image Analysis Using $2$D
Synchrosqueezed Transforms . . . . . . . 1542--1572
Marya Bazzi and
Mason A. Porter and
Stacy Williams and
Mark McDonald and
Daniel J. Fenn and
Sam D. Howison Community Detection in Temporal
Multilayer Networks, with an Application
to Correlation Networks . . . . . . . . 1--41
Victor Minden and
Anil Damle and
Kenneth L. Ho and
Lexing Ying A Technique for Updating Hierarchical
Skeletonization-Based Factorizations of
Integral Operators . . . . . . . . . . . 42--64
Nicolas Crouseilles and
Giacomo Dimarco and
Marie-Héléne Vignal Multiscale Schemes for the
BGK--Vlasov--Poisson System in the
Quasi-Neutral and Fluid Limits.
Stability Analysis and First Order
Schemes . . . . . . . . . . . . . . . . 65--95
Alexei A. Mailybaev Spontaneous Stochasticity of Velocity in
Turbulence Models . . . . . . . . . . . 96--112
D. Morale and
M. Zanella and
V. Capasso and
W. Jäger Stochastic Modeling and Simulation of
Ion Transport through Channels . . . . . 113--137
V. G. Maz'ya and
A. B. Movchan and
M. J. Nieves Mesoscale Models and Approximate
Solutions for Solids Containing Clouds
of Voids . . . . . . . . . . . . . . . . 138--172
Tiejun Li and
Xiaoguang Li and
Xiang Zhou Finding Transition Pathways on Manifolds 173--206
D. C. Karvounis and
P. Jenny Adaptive Hierarchical Fracture Model for
Enhanced Geothermal Systems . . . . . . 207--231
Huajie Chen and
Christoph Ortner QM/MM Methods for Crystalline Defects.
Part 1: Locality of the Tight Binding
Model . . . . . . . . . . . . . . . . . 232--264
Liliana Borcea and
Knut Sòlna Pulse Propagation in Time Dependent
Randomly Layered Media . . . . . . . . . 265--300
David Aristoff and
Juan M. Bello-Rivas and
Ron Elber A Mathematical Framework for Exact
Milestoning . . . . . . . . . . . . . . 301--322
Yu Gu and
Lenya Ryzhik The Random Schrödinger Equation:
Homogenization in Time-Dependent
Potentials . . . . . . . . . . . . . . . 323--363
Andro Mikeli\'c and
Josip Tambaca Derivation of a Poroelastic Flexural
Shell Model . . . . . . . . . . . . . . 364--397
Feifei Xu and
Max Gunzburger and
John Burkardt and
Qiang Du A Multiscale Implementation Based on
Adaptive Mesh Refinement for the
Nonlocal Peridynamics Model in One
Dimension . . . . . . . . . . . . . . . 398--429
José Luis López and
Juan Soler A Non-Markovian Phase Space Approach to
Schrödinger Dynamics: The Space-Time
Wigner Transform . . . . . . . . . . . . 430--451
Yu Gu and
Jean-Christophe Mourrat Scaling Limit of Fluctuations in
Stochastic Homogenization . . . . . . . 452--481
Victor M. Calo and
Yalchin Efendiev and
Juan Galvis and
Guanglian Li Randomized Oversampling for Generalized
Multiscale Finite Element Methods . . . 482--501
C. Bringedal and
I. Berre and
I. S. Pop and
F. A. Radu Upscaling of Nonisothermal Reactive
Porous Media Flow under Dominant Péclet
Number: The Effect of Changing Porosity 502--533
Seong Jun Kim and
Haomin Zhou A Multiscale Computation for Highly
Oscillatory Dynamical Systems using
Empirical Mode Decomposition (EMD)-type
Methods . . . . . . . . . . . . . . . . 534--557
Elliot Parramore and
Michael G. Edwards and
Mayur Pal and
Sadok Lamine Multiscale Finite-Volume CVD--MPFA
Formulations on Structured and
Unstructured Grids . . . . . . . . . . . 559--594
Jianliang Qian and
Wangtao Lu and
Lijun Yuan and
Songting Luo and
Robert Burridge Eulerian Geometrical Optics and Fast
Huygens Sweeping Methods for
Three-Dimensional Time-Harmonic
High-Frequency Maxwell's Equations in
Inhomogeneous Media . . . . . . . . . . 595--636
Julia Orlik and
Grigory Panasenko and
Vladimir Shiryaev Optimization of Textile-Like Materials
via Homogenization and Beam
Approximations . . . . . . . . . . . . . 637--667
Emilie Blanc and
Stefan Engblom and
Andreas Hellander and
Per Lötstedt Mesoscopic Modeling of Stochastic
Reaction--Diffusion Kinetics in the
Subdiffusive Regime . . . . . . . . . . 668--707
Yves Achdou and
Thibaut Deheuvels A Transmission Problem Across a Fractal
Self-Similar Interface . . . . . . . . . 708--736
Tao Luo and
Yang Xiang and
Nung Kwan Yip Energy Scaling and Asymptotic Properties
of Step Bunching in Epitaxial Growth
with Elasticity Effects . . . . . . . . 737--771
K. Dao Duc and
Z. Schuss and
D. Holcman Oscillatory Survival Probability:
Analytical and Numerical Study of a
Non-Poissonian Exit Time . . . . . . . . 772--798
Fei Liu and
Lexing Ying Additive Sweeping Preconditioner for the
Helmholtz Equation . . . . . . . . . . . 799--822
Ido Bright and
Guang Lin and
J. Nathan Kutz Classification of Spatiotemporal Data
via Asynchronous Sparse Sampling:
Application to Flow around a Cylinder 823--838
Claudia Negulescu and
Stefan Possanner Closure of the Strongly Magnetized
Electron Fluid Equations in the
Adiabatic Regime . . . . . . . . . . . . 839--873
Zhen Li and
Zuoqiang Shi A Convergent Point Integral Method for
Isotropic Elliptic Equations on a Point
Cloud . . . . . . . . . . . . . . . . . 874--905
Emilio N. M. Cirillo and
Matteo Colangeli and
Adrian Muntean Effects of Communication Efficiency and
Exit Capacity on Fundamental Diagrams
for Pedestrian Motion in an Obscure
Tunnel --- A Particle System Approach 906--922
Youfang Cao and
Anna Terebus and
Jie Liang Accurate Chemical Master Equation
Solution Using Multi-Finite Buffers . . 923--963
Yuchen Jiang and
Ruo Li and
Shuonan Wu A Second Order Time Homogenized Model
for Sediment Transport . . . . . . . . . 965--996
Ulrich Dobramysl and
Sten Rüdiger and
Radek Erban Particle-Based Multiscale Modeling of
Calcium Puff Dynamics . . . . . . . . . 997--1016
Ralf Kornhuber and
Harry Yserentant Numerical Homogenization of Elliptic
Multiscale Problems by Subspace
Decomposition . . . . . . . . . . . . . 1017--1036
Andrea Braides and
Adriana Garroni and
Mariapia Palombaro Interfacial Energies of Systems of
Chiral Molecules . . . . . . . . . . . . 1037--1062
Alethea B. T. Barbaro and
José A. Cañizo and
José A. Carrillo and
Pierre Degond Phase Transitions in a Kinetic Flocking
Model of Cucker--Smale Type . . . . . . 1063--1088
Wangtao Lu and
Jianliang Qian and
Robert Burridge Babich-Like Ansatz for Three-Dimensional
Point-Source Maxwell's Equations in an
Inhomogeneous Medium at High Frequencies 1089--1122
Donald L. Brown and
Daniel Peterseim A Multiscale Method for Porous
Microstructures . . . . . . . . . . . . 1123--1152
Alexander V. Shapeev Moment Tensor Potentials: a Class of
Systematically Improvable Interatomic
Potentials . . . . . . . . . . . . . . . 1153--1173
D. Peurichard Macroscopic Model for Cross-Linked
Fibers with Alignment Interactions:
Existence Theory and Numerical
Simulations . . . . . . . . . . . . . . 1175--1210
Peter Markowich and
Josef Teichmann and
Marie-Therese Wolfram Parabolic Free Boundary Price Formation
Models Under Market Size Fluctuations 1211--1237
Miha\"\i Bostan and
Aurélie Finot The Effective Vlasov--Poisson System for
the Finite Larmor Radius Regime . . . . 1238--1275
Pingbing Ming and
Xianmin Xu A Multiscale Finite Element Method for
Oscillating Neumann Problem on Rough
Domain . . . . . . . . . . . . . . . . . 1276--1300
Svyatoslav Korneev and
Ilenia Battiato Sequential Homogenization of Reactive
Transport in Polydisperse Porous Media 1301--1318
Natasa Djurdjevac Conrad and
Marcus Weber and
Christof Schütte Finding Dominant Structures of
Nonreversible Markov Processes . . . . . 1319--1340
David A. Barajas-Solano and
A. M. Tartakovsky Hybrid Multiscale Finite Volume Method
for Advection-Diffusion Equations
Subject to Heterogeneous Reactive
Boundary Conditions . . . . . . . . . . 1341--1376
Assyr Abdulle and
Orane Jecker and
Alexander Shapeev An Optimization Based Coupling Method
for Multiscale Problems . . . . . . . . 1377--1416
Ethan Levien and
Paul C. Bressloff A Stochastic Hybrid Framework for
Obtaining Statistics of Many Random
Walkers in a Switching Environment . . . 1417--1433
Peter Bella and
Felix Otto Corrector Estimates for Elliptic Systems
with Random Periodic Coefficients . . . 1434--1462
Jingrun Chen and
Jian-Guo Liu and
Zhennan Zhou On a Schrödinger--Landau--Lifshitz
System: Variational Structure and
Numerical Methods . . . . . . . . . . . 1463--1487
Ynte Vanderhoydonc and
Wim Vanroose Constrained Runs Algorithm as a Lifting
Operator for the One-Dimensional in
Space Boltzmann Equation with BGK
Collision Term . . . . . . . . . . . . . 1488--1512
Kirill D. Cherednichenko and
James A. Evans Full Two-Scale Asymptotic Expansion and
Higher-Order Constitutive Laws in the
Homogenization of the System of
Quasi-static Maxwell Equations . . . . . 1513--1539
David J. Gardner and
Daniel R. Reynolds Filters for Improvement of Multiscale
Data from Atomistic Simulations . . . . 1--28
Lin Lin and
Ze Xu and
Lexing Ying Adaptively Compressed Polarizability
Operator for Accelerating Large Scale
\em Ab Initio Phonon Calculations . . . 29--55
Paul Cazeaux and
Mitchell Luskin and
Ellad B. Tadmor Analysis of Rippling in Incommensurate
One-Dimensional Coupled Chains . . . . . 56--73
Alan E. Lindsay and
Andrew J. Bernoff and
Michael J. Ward First Passage Statistics for the Capture
of a Brownian Particle by a Structured
Spherical Target with Multiple Surface
Traps . . . . . . . . . . . . . . . . . 74--109
Miles Crosskey and
Mauro Maggioni ATLAS: a Geometric Approach to Learning
High-Dimensional Stochastic Systems Near
Manifolds . . . . . . . . . . . . . . . 110--156
Shi Jin and
Liu Liu An Asymptotic-Preserving Stochastic
Galerkin Method for the Semiconductor
Boltzmann Equation with Random Inputs
and Diffusive Scalings . . . . . . . . . 157--183
Huajie Chen and
Christoph Ortner QM/MM Methods for Crystalline Defects.
Part 2: Consistent Energy and
Force-Mixing . . . . . . . . . . . . . . 184--214
Yoonsang Lee and
Andrew J. Majda and
Di Qi Stochastic Superparameterization and
Multiscale Filtering of Turbulent
Tracers . . . . . . . . . . . . . . . . 215--234
Shidong Jiang and
Manas Rachh and
Yang Xiang An Efficient High Order Method for
Dislocation Climb in Two Dimensions . . 235--253
Jianfeng Lu and
Haizhao Yang Preconditioning Orbital Minimization
Method for Planewave Discretization . . 254--273
Rafael Granero-Belinchón and
Steve Shkoller A Model for Rayleigh--Taylor Mixing and
Interface Turnover . . . . . . . . . . . 274--308
Alexandra De Cecco and
Fabrice Deluzet and
Claudia Negulescu and
Stefan Possanner Asymptotic Transition from Kinetic to
Adiabatic Electrons along Magnetic Field
Lines . . . . . . . . . . . . . . . . . 309--338
Andrey Piatnitski and
Mariya Ptashnyk Homogenization of Biomechanical Models
for Plant Tissues . . . . . . . . . . . 339--387
Annelies Lejon and
Bert Mortier and
Giovanni Samaey Variance-Reduced Simulation of
Multiscale Tumor Growth Modeling . . . . 388--409
Thomas Y. Hou and
Qin Li and
Pengchuan Zhang A Sparse Decomposition of Low Rank
Symmetric Positive Semidefinite Matrices 410--444
Vladimir Druskin and
Alexander V. Mamonov and
Mikhail Zaslavsky Multiscale $S$-Fraction Reduced-Order
Models for Massive Wavefield Simulations 445--475
Daniel Massatt and
Mitchell Luskin and
Christoph Ortner Electronic Density of States for
Incommensurate Layers . . . . . . . . . 476--499
Christiane Helzel and
Athanasios E. Tzavaras A Kinetic Model for the Sedimentation of
Rod-Like Particles . . . . . . . . . . . 500--536
Dane Taylor and
Sean A. Myers and
Aaron Clauset and
Mason A. Porter and
Peter J. Mucha Eigenvector-Based Centrality Measures
for Temporal Networks . . . . . . . . . 537--574
Laurence Cherfils and
Hussein Fakih and
Alain Miranville A Complex Version of the Cahn--Hilliard
Equation for Grayscale Image Inpainting 575--605
Bin Dong and
Qingtang Jiang and
Zuowei Shen Image Restoration: Wavelet Frame
Shrinkage, Nonlinear Evolution PDEs, and
Beyond . . . . . . . . . . . . . . . . . 606--660
Thomas Y. Hou and
Qin Li and
Pengchuan Zhang Exploring the Locally Low Dimensional
Structure in Solving Random Elliptic
PDEs . . . . . . . . . . . . . . . . . . 661--695
N. Ben Abdallah and
A. Faraj A Double Scale Fast Algorithm for the
Transient Evolution of a Resonant
Tunneling Diode . . . . . . . . . . . . 696--722
Nicolas Crouseilles and
Mohammed Lemou and
Florian Méhats and
Xiaofei Zhao Uniformly Accurate Forward
Semi-Lagrangian Methods for Highly
Oscillatory Vlasov--Poisson Equations 723--744
Luca Bisconti and
Paolo Maria Mariano Existence Results in The Linear Dynamics
of Quasicrystals with Phason Diffusion
and Nonlinear Gyroscopic Effects . . . . 745--767
Victor Minden and
Kenneth L. Ho and
Anil Damle and
Lexing Ying A Recursive Skeletonization
Factorization Based on Strong
Admissibility . . . . . . . . . . . . . 768--796
Weiran Sun and
Min Tang Macroscopic Limits of Pathway-Based
Kinetic Models for \bionameE. coli
Chemotaxis in Large Gradient
Environments . . . . . . . . . . . . . . 797--826
Matthew Hirn and
Stéphane Mallat and
Nicolas Poilvert Wavelet Scattering Regression of Quantum
Chemical Energies . . . . . . . . . . . 827--863
Ka Chun Lam and
Tsz Ching Ng and
Lok Ming Lui Multiscale Representation of Deformation
via Beltrami Coefficients . . . . . . . 864--891
Andrew J. Binder and
Mitchell Luskin and
Christoph Ortner Analysis of a Predictor-Corrector Method
for Computationally Efficient Modeling
of Surface Effects in $1$D . . . . . . . 892--919
A. E. Lindsay and
J. C. Tzou and
T. Kolokolnikov Optimization of First Passage Times by
Multiple Cooperating Mobile Traps . . . 920--947
Doghonay Arjmand and
Olof Runborg Estimates for the Upscaling Error in
Heterogeneous Multiscale Methods for
Wave Propagation Problems in Locally
Periodic Media . . . . . . . . . . . . . 948--976
Weizhu Bao and
Chunmei Su Uniform Error Bounds of a Finite
Difference Method for the Zakharov
System in the Subsonic Limit Regime via
an Asymptotic Consistent Formulation . . 977--1002
V. G. Maz'ya and
A. B. Movchan and
M. J. Nieves Eigenvalue Problem in a Solid with Many
Inclusions: Asymptotic Analysis . . . . 1003--1047
Christophe Gomez and
Olivier Pinaud and
Lenya Ryzhik Radiative Transfer with Long-Range
Interactions: Regularity and Asymptotics 1048--1072
O. Gonzalez and
M. Pasi and
D. Petkeviciute and
J. Glowacki and
J. H. Maddocks Absolute versus Relative Entropy
Parameter Estimation in a Coarse-Grain
Model of DNA . . . . . . . . . . . . . . 1073--1107
Giang Tran and
Rachel Ward Exact Recovery of Chaotic Systems from
Highly Corrupted Data . . . . . . . . . 1108--1129
R. Borsche and
A. Klar and
C. Nessler and
A. Roth and
O. Tse A Retarded Mean-Field Approach for
Interacting Fiber Structures . . . . . . 1130--1154
Habib Ammari and
Francisco Romero and
Cong Shi A Signal Separation Technique for
Sub-Cellular Imaging Using Dynamic
Optical Coherence Tomography . . . . . . 1155--1175
Pavel Gurevich and
Sergey Tikhomirov Rattling in Spatially Discrete Diffusion
Equations with Hysteresis . . . . . . . 1176--1197
Frédérique Clément and
Frédéric Coquel and
Marie Postel and
Kim Long Tran Dimensional Reduction of a Multiscale
Model Based on Long Time Asymptotics . . 1198--1241
Qiya Hu and
Xuan Li Efficient Multilevel Preconditioners for
Three-Dimensional Plane Wave Helmholtz
Systems with Large Wave Numbers . . . . 1242--1266
Giuseppe Visconti and
Michael Herty and
Gabriella Puppo and
Andrea Tosin Multivalued Fundamental Diagrams of
Traffic Flow in the Kinetic
Fokker--Planck Limit . . . . . . . . . . 1267--1293
Julien Barré and
Pierre Degond and
Ewelina Zatorska Kinetic Theory of Particle Interactions
Mediated by Dynamical Networks . . . . . 1294--1323
Fredrik Hellman and
Axel Målqvist Contrast Independent Localization of
Multiscale Problems . . . . . . . . . . 1325--1355
Shelley B. Rohde and
Arnold D. Kim Backscattering of Continuous and Pulsed
Beams . . . . . . . . . . . . . . . . . 1356--1375
Jae Kyoung Kim and
Grzegorz A. Rempala and
Hye-Won Kang Reduction for Stochastic Biochemical
Reaction Networks with Multiscale
Conservations . . . . . . . . . . . . . 1376--1403
Georg A. Gottwald and
Haidar Mohamad and
Marcel Oliver Optimal Balance via Adiabatic Invariance
of Approximate Slow Manifolds . . . . . 1404--1422
Lexing Ying Tensor Network Skeletonization . . . . . 1423--1447
E. Mainini and
H. Murakawa and
P. Piovano and
U. Stefanelli Carbon-Nanotube Geometries as Optimal
Configurations . . . . . . . . . . . . . 1448--1471
Liliana Borcea and
Josselin Garnier Pulse Reflection in a Random Waveguide
with a Turning Point . . . . . . . . . . 1472--1501
Yuhua Zhu and
Shi Jin The Vlasov--Poisson--Fokker--Planck
System with Uncertainty and a
One-dimensional Asymptotic Preserving
Method . . . . . . . . . . . . . . . . . 1502--1529
D. Gallistl and
D. Peterseim Computation of Quasi-Local Effective
Diffusion Tensors and Connections to the
Mathematical Theory of Homogenization 1530--1552
C. Chalons and
R. O. Fox and
F. Laurent and
M. Massot and
A. Vié Multivariate Gaussian Extended
Quadrature Method of Moments for
Turbulent Disperse Multiphase Flow . . . 1553--1583
Victor Minden and
Anil Damle and
Kenneth L. Ho and
Lexing Ying Fast Spatial Gaussian Process Maximum
Likelihood Estimation via
Skeletonization Factorizations . . . . . 1584--1611
Robert Lipton and
Robert Viator Jr Creating Band Gaps in Periodic Media . . 1612--1650
François Alouges and
Giovanni Di Fratta Cell Averaging Two-Scale Convergence:
Applications to Periodic Homogenization 1651--1671
Edward Rolls and
Yuichi Togashi and
Radek Erban Varying the Resolution of the Rouse
Model on Temporal and Spatial Scales:
Application to Multiscale Modeling of
DNA Dynamics . . . . . . . . . . . . . . 1672--1693
Qin Li and
Jianfeng Lu An Asymptotic Preserving Method for
Transport Equations with Oscillatory
Scattering Coefficients . . . . . . . . 1694--1718
S. Guisset and
D. Aregba and
S. Brull and
B. Dubroca The $ M_1 $ Angular Moments Model in a
Velocity-Adaptive Frame for Rarefied Gas
Dynamics Applications . . . . . . . . . 1719--1747
Elías Gudiño and
Adélia Sequeira Multiscale Boundary Conditions for Drug
Dissolution Applied to Coronary Stents 1748--1767
Steven C. Cook and
Christel Hohenegger and
Tamar Shinar A Micro-Macro Framework for Analyzing
Steric and Hydrodynamic Interactions in
Gliding Assays . . . . . . . . . . . . . 1768--1796
Chuchu Chen and
Di Liu Error Analysis for $D$-Leaping Scheme of
Chemical Reaction System with Delay . . 1797--1829
Alexander V. Shapeev and
Mitchell Luskin Approximation of Crystalline Defects at
Finite Temperature . . . . . . . . . . . 1830--1864
Ting Wang and
Petr Plechác and
David Aristoff Stationary Averaging for Multiscale
Continuous Time Markov Chains Using
Parallel Replica Dynamics . . . . . . . 1--27
Pierre Degond and
Amic Frouvelle and
Sara Merino-Aceituno and
Ariane Trescases Quaternions in Collective Dynamics . . . 28--77
M. Ganesh and
T. Thompson A Spectrally Accurate Algorithm and
Analysis for a Ginzburg--Landau Model on
Superconducting Surfaces . . . . . . . . 78--105
Kyle R. Steffen and
Yekaterina Epshteyn and
Jingyi Zhu and
Megan J. Bowler and
Jody W. Deming and
Kenneth M. Golden Network Modeling of Fluid Transport
Through Sea Ice with Entrained
Exopolymeric Substances . . . . . . . . 106--124
Weihua Deng and
Buyang Li and
Wenyi Tian and
Pingwen Zhang Boundary Problems for the Fractional and
Tempered Fractional Operators . . . . . 125--149
Eduard Feireisl and
Mária Lukácová-Medvidová and
Sárka Necasová and
Antonín Novotný and
Bangwei She Asymptotic Preserving Error Estimates
for Numerical Solutions of Compressible
Navier--Stokes Equations in the Low Mach
Number Regime . . . . . . . . . . . . . 150--183
Jessica K. Hargreaves and
Marina I. Knight and
Jon W. Pitchford and
Rachael J. Oakenfull and
Seth J. Davis Clustering Nonstationary Circadian
Rhythms using Locally Stationary Wavelet
Representations . . . . . . . . . . . . 184--214
Zuoqiang Shi and
Jian Sun and
Minghao Tian Harmonic Extension on The Point Cloud 215--247
Jakob Witzig and
Isabel Beckenbach and
Leon Eifler and
Konstantin Fackeldey and
Ambros Gleixner and
Andreas Grever and
Marcus Weber Mixed-Integer Programming for Cycle
Detection in Nonreversible Markov
Processes . . . . . . . . . . . . . . . 248--265
Joshua P. Schneider and
Paul N. Patrone and
Dionisios Margetis Steric Hindrance of Crystal Growth:
Nonlinear Step Flow in $ 1 + 1 $
Dimensions . . . . . . . . . . . . . . . 266--299
I. Niyonzima and
R. V. Sabariego and
P. Dular and
K. Jacques and
C. Geuzaine Multiscale Finite Element Modeling of
Nonlinear Magnetoquasistatic Problems
using Magnetic Induction Conforming
Formulations . . . . . . . . . . . . . . 300--326
Lijian Jiang and
Na Ou Bayesian Inference Using Intermediate
Distribution Based on Coarse Multiscale
Model for Time Fractional Diffusion
Equations . . . . . . . . . . . . . . . 327--355
Habib Ammari and
Francisco Romero and
Matias Ruiz Heat Generation with Plasmonic
Nanoparticles . . . . . . . . . . . . . 356--384
Mario Ohlberger and
Barbara Verfurth A New Heterogeneous Multiscale Method
for the Helmholtz Equation with High
Contrast . . . . . . . . . . . . . . . . 385--411
Matthias Maier and
Rolf Rannacher A Duality-Based Optimization Approach
for Model Adaptivity in Heterogeneous
Multiscale Problems . . . . . . . . . . 412--428
Daniel Massatt and
Stephen Carr and
Mitchell Luskin and
Christoph Ortner Incommensurate Heterostructures in
Momentum Space . . . . . . . . . . . . . 429--451
Hui Ji and
Zuowei Shen and
Yufei Zhao Digital Gabor filters with MRA structure 452--476
Guanglian Li Low-Rank Approximation to Heterogeneous
Elliptic Problems . . . . . . . . . . . 477--502
Timothy B. Costa and
Stephen D. Bond and
David J. Littlewood Nonlocal and Mixed-Locality Multiscale
Finite Element Methods . . . . . . . . . 503--527
Emiliano Cristiani and
Andrea Tosin Reducing Complexity of Multiagent
Systems with Symmetry Breaking: an
Application to Opinion Dynamics with
Polls . . . . . . . . . . . . . . . . . 528--549
Rebecca K. Borchering and
Scott A. McKinley Continuum Approximation of Invasion
Probabilities . . . . . . . . . . . . . 551--582
Erwan Deriaz and
Sébastien Peirani Six-Dimensional Adaptive Simulation of
the Vlasov Equations Using a
Hierarchical Basis . . . . . . . . . . . 583--614
Thomas Y. Hou and
De Huang and
Ka Chun Lam and
PengChuan Zhang An Adaptive Fast Solver for a General
Class of Positive Definite Matrices Via
Energy Decomposition . . . . . . . . . . 615--678
Hao Wang and
Siyao Yang Analysis of the Residual-Type and the
Gradient Recovery-Type a Posteriori
Error Estimators for a Consistent
Atomistic-to-Continuum Coupling Method
in One-Dimension . . . . . . . . . . . . 679--709
Rongjie Lai and
Jianfeng Lu Point Cloud Discretization of
Fokker--Planck Operators for Committor
Functions . . . . . . . . . . . . . . . 710--726
Wangtao Lu and
Jianliang Qian and
Robert Burridge Extending Babich's Ansatz for
Point-Source Maxwell's Equations Using
Hadamard's Method . . . . . . . . . . . 727--751
Sambasiva Rao Chinnamsetty and
Michael Griebel and
Jan Hamaekers An Adaptive Multiscale Approach for
Electronic Structure Methods . . . . . . 752--776
Gabriel Stoltz and
Zofia Trstanova Langevin Dynamics With General Kinetic
Energies . . . . . . . . . . . . . . . . 777--806
Adrian Muntean and
Sina Reichelt Corrector Estimates for a
Thermodiffusion Model with Weak Thermal
Coupling . . . . . . . . . . . . . . . . 807--832
Pavel Gurevich and
Sina Reichelt Pulses in FitzHugh--Nagumo Systems with
Rapidly Oscillating Coefficients . . . . 833--856
Stefan Neukamm and
Mario Varga Stochastic Unfolding and Homogenization
of Spring Network Models . . . . . . . . 857--899
Di Fang and
Shi Jin and
Christof Sparber An Efficient Time-splitting Method for
the Ehrenfest Dynamics . . . . . . . . . 900--921
Junshan Lin and
Hai Zhang Scattering by a Periodic Array of
Subwavelength Slits I: Field Enhancement
in the Diffraction Regime . . . . . . . 922--953
Junshan Lin and
Hai Zhang Scattering by a Periodic Array of
Subwavelength Slits II: Surface Bound
States, Total Transmission, and Field
Enhancement in Homogenization Regimes 954--990
C. Chalons and
S. Guisset An Antidiffusive HLL Scheme for the
Electronic $ M_1 $ Model in the
Diffusion Limit . . . . . . . . . . . . 991--1016
Jason Frank and
Georg A. Gottwald A Note on Statistical Consistency of
Numerical Integrators for Multiscale
Dynamics . . . . . . . . . . . . . . . . 1017--1033
Fuchen Chen and
Eric Chung and
Lijian Jiang Adaptive Least-Squares Mixed Generalized
Multiscale Finite Element Methods . . . 1034--1058
Julian Koellermeier and
Manuel Torrilhon Two-Dimensional Simulation of Rarefied
Gas Flows Using Quadrature-Based Moment
Equations . . . . . . . . . . . . . . . 1059--1084
Liu Liu and
Shi Jin Hypocoercivity Based Sensitivity
Analysis and Spectral Convergence of the
Stochastic Galerkin Approximation to
Collisional Kinetic Equations with
Multiple Scales and Random Inputs . . . 1085--1114
Nagaiah Chamakuri and
Wilhelm Neubert and
Stephen Gilbert and
Janine Vierheller and
Gerald Warnecke and
Martin Falcke Multiscale Modeling and Numerical
Simulation of Calcium Cycling in Cardiac
Myocytes . . . . . . . . . . . . . . . . 1115--1145
R. V. Craster and
S. R. L. Guenneau and
H. R. Hutridurga and
G. A. Pavliotis Cloaking via Mapping for the Heat
Equation . . . . . . . . . . . . . . . . 1146--1174
Marianna Lytova and
Emmanuel Lorin and
André D. Bandrauk Nonlinear Nonperturbative Optics Model
Enriched by Evolution Equation for
Polarization . . . . . . . . . . . . . . 1175--1205
David F. Anderson and
Desmond J. Higham and
Yu Sun Computational Complexity Analysis for
Monte Carlo Approximations of
Classically Scaled Population Processes 1206--1226
Eric T. Chung and
Yalchin Efendiev and
Wing Tat Leung An Adaptive Generalized Multiscale
Discontinuous Galerkin Method for
High-Contrast Flow Problems . . . . . . 1227--1257
Frédéric Chardard and
Alexander Elbert and
Grigory Panasenko Asymptotic Analysis of a Thin Elastic
Plate--Viscoelastic Layer Interaction 1258--1282
Samuel Heroy and
Dane Taylor and
F. Bill Shi and
M. Gregory Forest and
Peter J. Mucha Rigid Graph Compression: Motif-Based
Rigidity Analysis for Disordered Fiber
Networks . . . . . . . . . . . . . . . . 1283--1304
Donald L. Brown and
Joscha Gedicke and
Daniel Peterseim Numerical Homogenization of
Heterogeneous Fractional Laplacians . . 1305--1332
Stein K. F. Stoter and
Sergio R. Turteltaub and
Steven J. Hulshoff and
Dominik Schillinger Residual-Based Variational Multiscale
Modeling in a Discontinuous Galerkin
Framework . . . . . . . . . . . . . . . 1333--1364
P. L. Evans and
J. R. King and
A. Münch The Structure of a Dewetting Rim with
Strong Slip: The Long-Time Evolution . . 1365--1391
Anil Damle and
Lin Lin Disentanglement via Entanglement: a
Unified Method for Wannier Localization 1392--1410
Andrew J. Bernoff and
Alan E. Lindsay and
Daniel D. Schmidt Boundary Homogenization and Capture Time
Distributions of Semipermeable Membranes
with Periodic Patterns of Reactive Sites 1411--1447
Sebastian Reuther and
Axel Voigt Erratum: The Interplay of Curvature and
Vortices in Flow on Curved Surfaces . . 1448--1453
Péter Koltai and
Christof Schütte A Multiscale Perturbation Expansion
Approach for Markov State Modeling of
Nonstationary Molecular Dynamics . . . . 1455--1485
Vladimir Druskin and
Rob F. Remis and
Mikhail Zaslavsky and
Jörn T. Zimmerling Compressing Large-Scale Wave Propagation
Models via Phase-Preconditioned Rational
Krylov Subspaces . . . . . . . . . . . . 1486--1518
Ethan Levien and
Paul C. Bressloff Robustness of Stochastic Chemical
Reaction Networks to Extrinsic Noise:
The Role of Deficiency . . . . . . . . . 1519--1541
Sanghyun Lee and
Andro Mikeli\'c and
Mary F. Wheeler and
Thomas Wick Phase-Field Modeling of Two Phase Fluid
Filled Fractures in a Poroelastic Medium 1542--1580
Jie Xu and
Fangfu Ye and
Pingwen Zhang A Tensor Model for Nematic Phases of
Bent-Core Molecules Based on Molecular
Theory . . . . . . . . . . . . . . . . . 1581--1602
Di Fang and
Jianfeng Lu A Diabatic Surface Hopping Algorithm
Based on Time Dependent Perturbation
Theory and Semiclassical Analysis . . . 1603--1622
Zhilin Li and
Xiaohong Chen and
Zhengru Zhang On Multiscale ADI Methods for Parabolic
PDEs with a Discontinuous Coefficient 1623--1647
Stéphane Lanteri and
Diego Paredes and
Claire Scheid and
Frédéric Valentin The Multiscale Hybrid-Mixed method for
the Maxwell Equations in Heterogeneous
Media . . . . . . . . . . . . . . . . . 1648--1683
R. T. Keller and
J. L. Marzuola and
B. Osting and
M. I. Weinstein Spectral Band Degeneracies of $ \frac
{\pi }{2}$-Rotationally Invariant
Periodic Schrödinger Operators . . . . . 1684--1731
Claudia Negulescu Kinetic Modelling of Strongly Magnetized
Tokamak Plasmas with Mass Disparate
Particles. The Electron Boltzmann
Relation . . . . . . . . . . . . . . . . 1732--1755
M. Branicki and
A. J. Majda and
K. J. H. Law Accuracy of Some Approximate Gaussian
Filters for the Navier--Stokes Equation
in the Presence of Model Error . . . . . 1756--1794
Chang Yang and
Jonathan Claustre and
Fabrice Deluzet Iterative Solvers for Elliptic Problems
with Arbitrary Anisotropy Strengths . . 1795--1823
Siragan Gailus and
Konstantinos Spiliopoulos Discrete-Time Statistical Inference for
Multiscale Diffusions . . . . . . . . . 1824--1858
Jianfeng Lu and
Konstantinos Spiliopoulos Analysis of Multiscale Integrators for
Multiple Attractors and Irreversible
Langevin Samplers . . . . . . . . . . . 1859--1883
Shi Jin and
Hanqing Lu and
Lorenzo Pareschi A High Order Stochastic Asymptotic
Preserving Scheme for Chemotaxis Kinetic
Models with Random Inputs . . . . . . . 1884--1915
Colin Grudzien and
Deepjyoti Deka and
Michael Chertkov and
Scott N. Backhaus Structure- and Physics-Preserving
Reductions of Power Grid Models . . . . 1916--1947
Jeffrey D. Hyman and
Aric Hagberg and
Dave Osthus and
Shriram Srinivasan and
Hari Viswanathan and
Gowri Srinivasan Identifying Backbones in
Three-Dimensional Discrete Fracture
Networks: a Bipartite Graph-Based
Approach . . . . . . . . . . . . . . . . 1948--1968
David F. Anderson and
Desmond J. Higham and
Saul C. Leite and
Ruth J. Williams On Constrained Langevin Equations and
(Bio)Chemical Reaction Networks . . . . 1--30
Liliana Borcea and
Josselin Garnier and
Knut Solna Wave Propagation and Imaging in Moving
Random Media . . . . . . . . . . . . . . 31--67
Jacob Price and
Panos Stinis Renormalized Reduced Order Models with
Memory for Long Time Prediction . . . . 68--91
Yingzhou Li and
Lin Lin Globally Constructed Adaptive Local
Basis Set for Spectral Projectors of
Second Order Differential Operators . . 92--116
Krithika Manohar and
Eurika Kaiser and
Steven L. Brunton and
J. Nathan Kutz Optimized Sampling for Multiscale
Dynamics . . . . . . . . . . . . . . . . 117--136
Roberta Bianchini and
Laurent Gosse and
Enrique Zuazua A Two-Dimensional ``Flea on the
Elephant'' Phenomenon and its Numerical
Visualization . . . . . . . . . . . . . 137--166
Anil Damle and
Antoine Levitt and
Lin Lin Variational Formulation for Wannier
Functions with Entangled Band Structure 167--191
Colin Cotter and
Dan Crisan and
Darryl D. Holm and
Wei Pan and
Igor Shevchenko Numerically Modeling Stochastic Lie
Transport in Fluid Dynamics . . . . . . 192--232
Axel Klar and
Sudarshan Tiwari A Multiscale Particle Method for Mean
Field Equations: The General Case . . . 233--259
Thomas Y. Hou and
De Huang and
Ka Chun Lam and
Ziyun Zhang A Fast Hierarchically Preconditioned
Eigensolver Based on Multiresolution
Matrix Decomposition . . . . . . . . . . 260--306
Baptiste Fedele and
Claudia Negulescu and
Stefan Possanner Asymptotic-Preserving Scheme for the
Resolution of Evolution Equations with
Stiff Transport Terms . . . . . . . . . 307--343
Ali Bouzekri and
Mourad Sini The Foldy--Lax Approximation for the
Full Electromagnetic Scattering by Small
Conductive Bodies of Arbitrary Shapes 344--398
Assyr Abdulle and
Andrea Di Blasio Numerical Homogenization and Model Order
Reduction for Multiscale Inverse
Problems . . . . . . . . . . . . . . . . 399--433
Fabrice Deluzet and
Jacek Narski A Two Field Iterated
Asymptotic-Preserving Method for Highly
Anisotropic Elliptic Equations . . . . . 434--459
Jennifer Bryson and
Hongkai Zhao and
Yimin Zhong Intrinsic Complexity and Scaling Laws:
From Random Fields to Random Vectors . . 460--481
Ruslan Shaydulin and
Jie Chen and
Ilya Safro Relaxation-Based Coarsening for
Multilevel Hypergraph Partitioning . . . 482--506
Thierry Goudon and
Alexis F. Vasseur Statistical Stability for Transport in
Random Media . . . . . . . . . . . . . . 507--530
Thomas Blanc Numerical Methods for Computing an
Averaged Matrix Field. Application to
the Asymptotic Analysis of a Parabolic
Problem with Stiff Transport Terms . . . 531--551
Julien Roussel and
Gabriel Stoltz A Perturbative Approach to Control
Variates in Molecular Dynamics . . . . . 552--591
Guanglian Li On the Convergence Rates of GMsFEMs for
Heterogeneous Elliptic Problems Without
Oversampling Techniques . . . . . . . . 593--619
Lindsay Martin and
Yen-Hsi R. Tsai A Multiscale Domain Decomposition
Algorithm for Boundary Value Problems
for Eikonal Equations . . . . . . . . . 620--649
Fredrik Hellman and
Axel Målqvist Numerical Homogenization of Elliptic
PDEs with Similar Coefficients . . . . . 650--674
Theodoros Manikas and
Anastasia Papavasiliou Diffusion Parameter Estimation for the
Homogenized Equation . . . . . . . . . . 675--695
Vladimir Mityushev and
Piotr Dryga\'s Effective Properties of Fibrous
Composites and Cluster Convergence . . . 696--715
Andrea Tosin and
Mattia Zanella Kinetic-Controlled Hydrodynamics for
Traffic Models with Driver-Assist
Vehicles . . . . . . . . . . . . . . . . 716--749
Dylan Dronnier and
Florent Renac Adjoint-Based Adaptive Model and
Discretization for Hyperbolic Systems
with Relaxation . . . . . . . . . . . . 750--772
Claude Le Bris and
Frédéric Legoll and
François Madiot Multiscale Finite Element Methods for
Advection-Dominated Problems in
Perforated Domains . . . . . . . . . . . 773--825
Thomas Y. Hou and
Dingjiong Ma and
Zhiwen Zhang A Model Reduction Method for Multiscale
Elliptic Pdes with Random Coefficients
Using an Optimization Approach . . . . . 826--853
Weifeng Zhao and
Juntao Huang and
Wen-An Yong Boundary Conditions for Kinetic Theory
Based Models I: Lattice Boltzmann Models 854--872
Brian Van Koten and
Mitchell Luskin Stability and Convergence of the String
Method for Computing Minimum Energy
Paths . . . . . . . . . . . . . . . . . 873--898
HaiGang Li and
YanYan Li and
ZhuoLun Yang Asymptotics of the Gradient of Solutions
to the Perfect Conductivity Problem . . 899--925
Gero Friesecke and
Michael Kniely New Optimal Control Problems in Density
Functional Theory Motivated by
Photovoltaics . . . . . . . . . . . . . 926--947
Linan Zhang and
Hayden Schaeffer On the Convergence of the SINDy
Algorithm . . . . . . . . . . . . . . . 948--972
Albert Fannjiang Raster Grid Pathology and the Cure . . . 973--995
Mengnan Li and
Eric Chung and
Lijian Jiang A Constraint Energy Minimizing
Generalized Multiscale Finite Element
Method for Parabolic Equations . . . . . 996--1018
Tony Leli\`evre and
Wei Zhang Pathwise Estimates for Effective
Dynamics: The Case of Nonlinear
Vectorial Reaction Coordinates . . . . . 1019--1051
Yunzhe Tao and
Xiaochuan Tian and
Qiang Du Nonlocal Models with Heterogeneous
Localization and Their Application to
Seamless Local-Nonlocal Coupling . . . . 1052--1075
Ettore Vidotto and
Timo Koch and
Tobias Köppl and
Rainer Helmig and
Barbara Wohlmuth Hybrid Models for Simulating Blood Flow
in Microvascular Networks . . . . . . . 1076--1102
Eric T. Chung and
Sai-Mang Pun Online Adaptive Basis Enrichment for
Mixed CEM-GMsFEM . . . . . . . . . . . . 1103--1122
Jingwei Hu and
Ruiwen Shu A Second-Order Asymptotic-Preserving and
Positivity-Preserving Exponential
Runge--Kutta Method for a Class of Stiff
Kinetic Equations . . . . . . . . . . . 1123--1146
Marlis Hochbruck and
Bernhard Maier and
Christian Stohrer Heterogeneous Multiscale Method for
Maxwell's Equations . . . . . . . . . . 1147--1171
Jeroen Wouters and
Georg A. Gottwald Stochastic Model Reduction for Slow-Fast
Systems with Moderate Time Scale
Separation . . . . . . . . . . . . . . . 1172--1188
Yuwei Fan and
Lin Lin and
Lexing Ying and
Leonardo Zepeda-Núñez A Multiscale Neural Network Based on
Hierarchical Matrices . . . . . . . . . 1189--1213
Mourad Sini and
Haibing Wang Estimation of the Heat Conducted by a
Cluster of Small Cavities and
Characterization of the Equivalent Heat
Conduction . . . . . . . . . . . . . . . 1214--1251
Dong Wang and
Braxton Osting and
Xiao-Ping Wang Interface Dynamics for an
Allen--Cahn-Type Equation Governing a
Matrix-Valued Field . . . . . . . . . . 1252--1273
Lin Lin and
Leonardo Zepeda-Nunez Projection-Based Embedding Theory for
Solving Kohn--Sham Density Functional
Theory . . . . . . . . . . . . . . . . . 1274--1300
Lindsay Martin and
Yen-Hsi R. Tsai Erratum: A Multiscale Domain
Decomposition Algorithm for Boundary
Value Problems for Eikonal Equations . . 1301--1302
Leonid Berlyand and
Pierre-Emmanuel Jabin and
Mykhailo Potomkin and
Elzbieta Ratajczyk A Kinetic Approach to Active Rods
Dynamics in Confined Domains . . . . . . 1--20
Ustim Khristenko and
Andrei Constantinescu and
Patrick Le Tallec and
J. Tinsley Oden and
Barbara Wohlmuth A Statistical Framework for Generating
Microstructures of Two-Phase Random
Materials: Application to Fatigue
Analysis . . . . . . . . . . . . . . . . 21--43
Liliana Borcea and
Josselin Garnier Wave Propagation in Randomly Perturbed
Weakly Coupled Waveguides . . . . . . . 44--78
Szu-Pei P. Fu and
Rolf Ryham and
Andreas Klöckner and
Matt Wala and
Shidong Jiang and
Yuan-Nan Young Simulation of Multiscale Hydrophobic
Lipid Dynamics via Efficient Integral
Equation Methods . . . . . . . . . . . . 79--103
Jay Chu and
John M. Hong and
Hsin-Yi Lee Approximation and Existence of Vacuum
States in the Multiscale Flows of
Compressible Euler Equations . . . . . . 104--130
Gastão A. Braga and
Frederico Furtado and
Vincenzo Isaia and
Long Lee Numerical Renormalization Group
Algorithms for Self-Similar Asymptotics
of Partial Differential Equations . . . 131--162
Pierre Degond and
Marina A. Ferreira and
Sara Merino-Aceituno and
Mickaël Nahon A New Continuum Theory for
Incompressible Swelling Materials . . . 163--197
Fei Xu A Cascadic Adaptive Finite Element
Method for Nonlinear Eigenvalue Problems
in Quantum Physics . . . . . . . . . . . 198--220
Saumik Dana and
Joel Ita and
Mary F. Wheeler The Correspondence between Voigt and
Reuss Bounds and the Decoupling
Constraint in a Two-Grid Staggered
Algorithm for Consolidation in
Heterogeneous Porous Media . . . . . . . 221--239
Habib Ammari and
Durga Prasad Challa and
Anupam Pal Choudhury and
Mourad Sini The Equivalent Media Generated by
Bubbles of High Contrasts: Volumetric
Metamaterials and Metasurfaces . . . . . 240--293
Martin Heida and
Ralf Kornhuber and
Joscha Podlesny Fractal Homogenization of Multiscale
Interface Problems . . . . . . . . . . . 294--314
Konstantinos Spiliopoulos and
Matthew R. Morse Importance Sampling for Slow-Fast
Diffusions Based on Moderate Deviations 315--350
Giacomo Dimarco and
Lorenzo Pareschi Multiscale Variance Reduction Methods
Based on Multiple Control Variates for
Kinetic Equations with Uncertainties . . 351--382
Preston Donovan and
Muruhan Rathinam Homogenization of a Random Walk on a
Graph in $ \mathbb {R}^d $: an Approach
to Predict Macroscale Diffusivity in
Media with Finescale Obstructions and
Interactions . . . . . . . . . . . . . . 383--414
Weihua Deng and
Xudong Wang and
Pingwen Zhang Anisotropic Nonlocal Diffusion Operators
for Normal and Anomalous Dynamics . . . 415--443
Nicolas Crouseilles and
Shi Jin and
Mohammed Lemou and
Florian Méhats A Micro-Macro Method for a Kinetic
Graphene Model in One Space Dimension 444--474
Eric Chung and
Yalchin Efendiev and
Yanbo Li and
Qin Li Generalized Multiscale Finite Element
Method for the Steady State Linear
Boltzmann Equation . . . . . . . . . . . 475--501
José A. Carrillo and
Serafim Kalliadasis and
Sergio P. Perez and
Chi-Wang Shu Well-Balanced Finite-Volume Schemes for
Hydrodynamic Equations with General Free
Energy . . . . . . . . . . . . . . . . . 502--541
Konrad Simon and
Jörn Behrens Multiscale Finite Elements for Transient
Advection--Diffusion Equations through
Advection-Induced Coordinates . . . . . 543--571
Patrick Murphy and
Paul C. Bressloff and
Sean D. Lawley Interaction Between Switching
Diffusivities and Cellular
Microstructure . . . . . . . . . . . . . 572--588
Kit Newton and
Qin Li and
Andrew M. Stuart Diffusive Optical Tomography in the
Bayesian Framework . . . . . . . . . . . 589--611
Dong An and
Lin Lin Quantum Dynamics with the Parallel
Transport Gauge . . . . . . . . . . . . 612--645
David Aristoff and
Daniel M. Zuckerman Optimizing Weighted Ensemble Sampling of
Steady States . . . . . . . . . . . . . 646--673
Martin Storath and
Andreas Weinmann Wavelet Sparse Regularization for
Manifold-Valued Data . . . . . . . . . . 674--706
Gao Tang and
Haizhao Yang A Fast Algorithm for Multiresolution
Mode Decomposition . . . . . . . . . . . 707--736
Russel Caflisch and
Hung Hsu Chou and
Jonathan W. Siegel Accuracy, Efficiency and Optimization of
Signal Fragmentation . . . . . . . . . . 737--757
Habib Ammari and
Bowen Li and
Jun Zou Mathematical Analysis of Electromagnetic
Plasmonic Metasurfaces . . . . . . . . . 758--797
Josselin Garnier and
Etienne Gay and
Eric Savin Multiscale Analysis of Spectral
Broadening of Acoustic Waves by a
Turbulent Shear Layer . . . . . . . . . 798--823
Nikolaos Sfakianakis and
Anotida Madzvamuse and
Mark A. J. Chaplain A Hybrid Multiscale Model for Cancer
Invasion of the Extracellular Matrix . . 824--850
Mariya Ptashnyk and
Chandrasekhar Venkataraman Multiscale Analysis and Simulation of a
Signaling Process With Surface Diffusion 851--886
Sean D. Lawley and
Varun Shankar Asymptotic and Numerical Analysis of a
Stochastic PDE Model of Volume
Transmission . . . . . . . . . . . . . . 887--915
Qingguo Hong and
Johannes Kraus and
Maria Lymbery and
Mary F. Wheeler Parameter-Robust Convergence Analysis of
Fixed-Stress Split Iterative Method for
Multiple-Permeability Poroelasticity
Systems . . . . . . . . . . . . . . . . 916--941
S. Frei and
T. Richter Efficient Approximation of Flow Problems
With Multiple Scales in Time . . . . . . 942--969
Ana\"\is Crestetto and
Christian Klingenberg and
Marlies Pirner Kinetic/Fluid Micro-Macro Numerical
Scheme for a Two Component Gas Mixture 970--998
Norbert J. Mauser and
Yong Zhang and
Xiaofei Zhao On the Rotating Nonlinear Klein--Gordon
Equation: NonRelativistic Limit and
Numerical Methods . . . . . . . . . . . 999--1024
T. Zhang and
A. Parker and
R. P. Carlson and
P. S. Stewart and
I. Klapper Multiscale Flux-Based Modeling of
Biofilm Communities . . . . . . . . . . 1025--1052
Daniela Calvetti and
Jamie Prezioso and
Rossana Occhipinti and
Walter F. Boron and
Erkki Somersalo Computational Model of Electrode-Induced
Microenvironmental Effects on pH
Measurements Near a Cell Membrane . . . 1053--1075
Carina Bringedal and
Lars von Wolff and
Iuliu Sorin Pop Phase Field Modeling of Precipitation
and Dissolution Processes in Porous
Media: Upscaling and Numerical
Experiments . . . . . . . . . . . . . . 1076--1112
Thomas Hudson and
Xingjie H. Li Coarse-Graining of Overdamped Langevin
Dynamics via the Mori--Zwanzig Formalism 1113--1135
Marc Dambrine and
Helmut Harbrecht Shape Optimization for Composite
Materials and Scaffold Structures . . . 1136--1152
Ke Chen and
Qin Li and
Jianfeng Lu and
Stephen J. Wright Randomized Sampling for Basis Function
Construction in Generalized Finite
Element Methods . . . . . . . . . . . . 1153--1177
Eric Canc\`es and
Virginie Ehrlacher and
Frédéric Legoll and
Benjamin Stamm and
Shuyang Xiang An Embedded Corrector Problem for
Homogenization. Part I: Theory . . . . . 1179--1209
Hui Ji and
Zuowei Shen and
Yufei Zhao Multiscale Discrete Framelet Transform
for Graph-Structured Signals . . . . . . 1210--1241
Sijing Li and
Zhiwen Zhang and
Hongkai Zhao A Data-Driven Approach for Multiscale
Elliptic PDEs with Random Coefficients
Based on Intrinsic Dimension Reduction 1242--1271
Hannes Vandecasteele and
Przemys\law Zieli\'nski and
Giovanni Samaey Efficiency of a Micro-Macro Acceleration
Method for Scale-Separated Stochastic
Differential Equations . . . . . . . . . 1272--1298
Habib Ammari and
Bryn Davies and
Sanghyeon Yu Close-To-Touching Acoustic Subwavelength
Resonators: Eigenfrequency Separation
and Gradient Blow-Up . . . . . . . . . . 1299--1317
Jean-Pierre Fouque and
Ruimeng Hu Multiscale Asymptotic Analysis for
Portfolio Optimization under Stochastic
Environment . . . . . . . . . . . . . . 1318--1342
S. N. Gomes and
G. A. Pavliotis and
U. Vaes Mean Field Limits for Interacting
Diffusions with Colored Noise: Phase
Transitions and Spectral Numerical
Methods . . . . . . . . . . . . . . . . 1343--1370
Rachael T. Keller and
Jeremy L. Marzuola and
Braxton Osting and
Michael I. Weinstein Erratum: Spectral Band Degeneracies of $
\frac {\pi }{2}$-Rotationally Invariant
Periodic Schrödinger Operators . . . . . 1371--1373
Eduardo Abreu and
Ciro Díaz and
Juan Galvis and
John Pérez On the Conservation Properties in
Multiple Scale Coupling and Simulation
for Darcy Flow with Hyperbolic-Transport
in Complex Flows . . . . . . . . . . . . 1375--1408
Jingrun Chen and
Dingjiong Ma and
Zhiwen Zhang A Multiscale Reduced Basis Method for
the Schrödinger Equation With Multiscale
and Random Potentials . . . . . . . . . 1409--1434
Hayden Schaeffer and
Giang Tran and
Rachel Ward and
Linan Zhang Extracting Structured Dynamical Systems
Using Sparse Optimization With Very Few
Samples . . . . . . . . . . . . . . . . 1435--1461
James M. Scott and
Tadele Mengesha Asymptotic Analysis of a Coupled System
of Nonlocal Equations with Oscillatory
Coefficients . . . . . . . . . . . . . . 1462--1488
Kathryn G. Link and
Matthew G. Sorrells and
Nicholas A. Danes and
Keith B. Neeves and
Karin Leiderman and
Aaron L. Fogelson A Mathematical Model of Platelet
Aggregation in an Extravascular Injury
Under Flow . . . . . . . . . . . . . . . 1489--1524
Simon Etter and
Daniel Massatt and
Mitchell Luskin and
Christoph Ortner Modeling and Computation of Kubo
Conductivity for Two-Dimensional
Incommensurate Bilayers . . . . . . . . 1525--1564
Assyr Abdulle and
Giacomo Garegnani and
Andrea Zanoni Ensemble Kalman Filter for Multiscale
Inverse Problems . . . . . . . . . . . . 1565--1594
Na Ou and
Guang Lin and
Lijian Jiang A Low-Rank Approximated Multiscale
Method for Pdes With Random Coefficients 1595--1620
Xiaoying Dai and
Qiao Wang and
Aihui Zhou Gradient Flow Based Kohn--Sham Density
Functional Theory Model . . . . . . . . 1621--1663
Vincent Heningburg and
Cory D. Hauck A Hybrid Finite-Volume, Discontinuous
Galerkin Discretization for the
Radiative Transport Equation . . . . . . 1--24
Peijun Li and
Xu Wang An Inverse Random Source Problem for
Maxwell's Equations . . . . . . . . . . 25--45
Jianliang Qian and
Jian Song and
Wangtao Lu and
Robert Burridge Hadamard--Babich Ansatz for Point-Source
Elastic Wave Equations in Variable Media
at High Frequencies . . . . . . . . . . 46--86
Yunjiao Lu and
Pierre Hodara and
Charles Kervrann and
Alain Trubuil Probabilistic Reconstruction of
Truncated Particle Trajectories on a
Closed Surface . . . . . . . . . . . . . 87--112
Dane Taylor and
Mason A. Porter and
Peter J. Mucha Tunable Eigenvector-Based Centralities
for Multiplex and Temporal Networks . . 113--147
Claire E. Plunkett and
Sean D. Lawley Bimolecular Binding Rates for Pairs of
Spherical Molecules with Small Binding
Sites . . . . . . . . . . . . . . . . . 148--183
Nicolas Vauchelet and
Shugo Yasuda Numerical Scheme for Kinetic Transport
Equation with Internal State . . . . . . 184--207
Jacob Roth and
David A. Barajas-Solano and
Panos Stinis and
Jonathan Weare and
Mihai Anitescu A Kinetic Monte Carlo Approach for
Simulating Cascading Transmission Line
Failure . . . . . . . . . . . . . . . . 208--241
Nada Cvetkovi\'c and
Tim Conrad and
Han Cheng Lie A Convergent Discretization Method for
Transition Path Theory for Diffusion
Processes . . . . . . . . . . . . . . . 242--266
Matteo Zancanaro and
Francesco Ballarin and
Simona Perotto and
Gianluigi Rozza Hierarchical Model Reduction Techniques
for Flow Modeling in a Parametrized
Setting . . . . . . . . . . . . . . . . 267--293
Davin Lunz On Continuum Approximations of
Discrete-State Markov Processes of Large
System Size . . . . . . . . . . . . . . 294--319
Stefan Metzger and
Peter Knabner Homogenization of Two-Phase Flow in
Porous Media From Pore to Darcy Scale: a
Phase-Field Approach . . . . . . . . . . 320--343
Zhihan Li and
Yuwei Fan and
Lexing Ying Multilevel Fine-Tuning: Closing
Generalization Gaps in Approximation of
Solution Maps under a Limited Budget for
Training Data . . . . . . . . . . . . . 344--373
Robert Altmann and
Barbara Verfürth A Multiscale Method for Heterogeneous
Bulk-Surface Coupling . . . . . . . . . 374--400
Vincent Perrier and
Enrique Gutiérrez Derivation and Closure of Baer and
Nunziato Type Multiphase Models by
Averaging a Simple Stochastic Model . . 401--439
Michael Merritt and
Alen Alexanderian and
Pierre A. Gremaud Multiscale Global Sensitivity Analysis
for Stochastic Chemical Systems . . . . 440--459
Susanne Röhl and
Marcus Weber and
Konstantin Fackeldey Computing the Minimal Rebinding Effect
for NonReversible Processes . . . . . . 460--477
Jose A. Carrillo and
Li Wang and
Wuzhe Xu and
Ming Yan Variational Asymptotic Preserving Scheme
for the Vlasov--Poisson--Fokker--Planck
System . . . . . . . . . . . . . . . . . 478--505
Clemens Heitzinger and
José A. Morales E. Homogenization of Boundary Layers in the
Boltzmann--Poisson System . . . . . . . 506--532
Weiqi Chu and
Xiantao Li Nonlinear Constitutive Models for
Nano-Scale Heat Conduction . . . . . . . 533--549
Cornelis J. van Duijn and
Andro Mikelic Mathematical Proof of the Mandel--Cryer
Effect in Poroelasticity . . . . . . . . 550--567
Laurent Gosse Diffusive Limit of a Two-Dimensional
Well-Balanced Scheme for the Free
Klein--Kramers Equation . . . . . . . . 568--587
Felisia Angela Chiarello and
Benedetto Piccoli and
Andrea Tosin Multiscale Control of Generic Second
Order Traffic Models by Driver-Assist
Vehicles . . . . . . . . . . . . . . . . 589--611
Paul C. Bressloff Asymptotic Analysis of Target Fluxes in
the Three-Dimensional Narrow Capture
Problem . . . . . . . . . . . . . . . . 612--632
Richard Craster and
André Diatta and
Sébastien Guenneau and
Harsha Hutridurga On Near-cloaking for Linear Elasticity 633--664
Georg A. Gottwald and
Ian Melbourne Simulation of Non-Lipschitz Stochastic
Differential Equations Driven by $
\alpha $-Stable Noise: a Method Based on
Deterministic Homogenization . . . . . . 665--687
Florian Schäfer and
T. J. Sullivan and
Houman Owhadi Compression, Inversion, and Approximate
PCA of Dense Kernel Matrices at
Near-Linear Computational Complexity . . 688--730
Elissa Eggenweiler and
Iryna Rybak Effective Coupling Conditions for
Arbitrary Flows in Stokes--Darcy Systems 731--757
Renata Sechi and
Alexander Sikorski and
Marcus Weber Estimation of the Koopman Generator by
Newton's Extrapolation . . . . . . . . . 758--774
Ke Chen and
Qin Li and
Jianfeng Lu and
Stephen J. Wright A Low-Rank Schwarz Method for Radiative
Transfer Equation With Heterogeneous
Scattering Coefficient . . . . . . . . . 775--801
Claudia Negulescu Mathematical Study of a
Lagrange-Multiplier Technique for Stiff
Transport Problems . . . . . . . . . . . 802--829
Changqing Ye and
Junzhi Cui and
Hao Dong Asymptotic Analysis of Nonlinear
Robin-Type Boundary Value Problems with
Small Periodic Structure . . . . . . . . 830--845
Yves Capdeboscq and
Roland Griesmaier and
Marvin Knöller An Asymptotic Representation Formula for
Scattering by Thin Tubular Structures
and an Application in Inverse Scattering 846--885
Gabriela Jaramillo and
Shankar C. Venkataramani A Modified Split Bregman Algorithm for
Computing Microstructures Through Young
Measures . . . . . . . . . . . . . . . . 886--920
Yongwei Zhang and
Chupeng Ma and
Liqun Cao Multiscale Approach and Analysis for
Transient Simulation of Light
Interaction With Nonlocal Metallic
Nanostructure Arrays . . . . . . . . . . 921--950
Peng Xie and
Yi Zhu Wave Packets in the Fractional Nonlinear
Schrödinger Equation with a Honeycomb
Potential . . . . . . . . . . . . . . . 951--979
Yifan Chen and
Thomas Y. Hou and
Yixuan Wang Exponential Convergence for Multiscale
Linear Elliptic PDEs via Adaptive Edge
Basis Functions . . . . . . . . . . . . 980--1010
Dmitry Burov and
Dimitrios Giannakis and
Krithika Manohar and
Andrew Stuart Kernel Analog Forecasting: Multiscale
Test Problems . . . . . . . . . . . . . 1011--1040
Dietmar Gallistl and
Timo Sprekeler and
Endre Süli Mixed Finite Element Approximation of
Periodic Hamilton--Jacobi--Bellman
Problems With Application to Numerical
Homogenization . . . . . . . . . . . . . 1041--1065
Duan Z. Zhang Stress from Long-Range Interactions in
Particulate Systems . . . . . . . . . . 1066--1082
Mourad Sini and
Haibing Wang and
Qingyun Yao Analysis of the Acoustic Waves Reflected
by a Cluster of Small Holes in the
Time-Domain and the Equivalent Mass
Density . . . . . . . . . . . . . . . . 1083--1114
Roman Shvydkoy and
Eitan Tadmor Multiflocks: Emergent Dynamics in
Systems with Multiscale Collective
Behavior . . . . . . . . . . . . . . . . 1115--1141
Catalina Pesce and
Andreas Muench How Do Degenerate Mobilities Determine
Singularity Formation in Cahn--Hilliard
Equations? . . . . . . . . . . . . . . . 1143--1166
Zhongjian Wang and
Jack Xin and
Zhiwen Zhang Sharp Error Estimates on a Stochastic
Structure-Preserving Scheme in Computing
Effective Diffusivity of $3$D Chaotic
Flows . . . . . . . . . . . . . . . . . 1167--1189
Josselin Garnier Wave Propagation in Periodic and Random
Time-Dependent Media . . . . . . . . . . 1190--1211
Yue Feng and
Wenfan Yi Uniform Error Bounds of an Exponential
Wave Integrator for the Long-Time
Dynamics of the Nonlinear Klein--Gordon
Equation . . . . . . . . . . . . . . . . 1212--1235
Kelly Chen and
Zachary Deiman and
Ryan Goh and
Sally Jankovic and
Arnd Scheel Strain and Defects in Oblique Stripe
Growth . . . . . . . . . . . . . . . . . 1236--1260
Yuehaw Khoo and
Jianfeng Lu and
Lexing Ying Efficient Construction of Tensor Ring
Representations from Sampling . . . . . 1261--1284
Joseph M. Gaone and
Burt S. Tilley and
Vadim V. Yakovlev High-Frequency Homogenization for
Electromagnetic Heating of Periodic
Media . . . . . . . . . . . . . . . . . 1285--1309
Grégoire Ferré and
Tobias Grafke Approximate Optimal Controls via
Instanton Expansion for Low Temperature
Free Energy Computation . . . . . . . . 1310--1332
Solesne Bourguin and
Siragan Gailus and
Konstantinos Spiliopoulos Discrete-Time Inference for Slow-Fast
Systems Driven by Fractional Brownian
Motion . . . . . . . . . . . . . . . . . 1333--1366
Sarafa Iyaniwura and
Tony Wong and
Michael J. Ward and
Colin B. Macdonald Simulation and Optimization of Mean
First Passage Time Problems in $2$-D
Using Numerical Embedded Methods and
Perturbation Theory . . . . . . . . . . 1367--1393
Jean-Luc Akian and
Eric Savin Kinetic Modeling of Multiple Scattering
of Acoustic Waves in Randomly
Heterogeneous Flows . . . . . . . . . . 1394--1424
Ruo Li and
Peng Song and
Lingchao Zheng A Nonlinear Moment Model for Radiative
Transfer Equation . . . . . . . . . . . 1425--1452
Timo Sprekeler and
Hung V. Tran Optimal Convergence Rates for Elliptic
Homogenization Problems in
Nondivergence-Form: Analysis and
Numerical Illustrations . . . . . . . . 1453--1473
Daniel A. Messenger and
David M. Bortz Weak SINDy: Galerkin-Based Data-Driven
Model Selection . . . . . . . . . . . . 1474--1497
Max Hodapp Analysis of a Sinclair-Type Domain
Decomposition Solver for
Atomistic/Continuum Coupling . . . . . . 1499--1537
Huan Han and
Zhengping Wang and
Yimin Zhang MultiScale Approach for Two-Dimensional
Diffeomorphic Image Registration . . . . 1538--1572
Markus Gahn and
Maria Neuss-Radu Singular Limit for Reactive Diffusive
Transport Through an Array of Thin
Channels in case of Critical Diffusivity 1573--1600
Xinliang Liu and
Eric Chung and
Lei Zhang Iterated Numerical Homogenization for
MultiScale Elliptic Equations with
Monotone Nonlinearity . . . . . . . . . 1601--1632
German Enciso and
Jinsu Kim Accuracy of Multiscale Reduction for
Stochastic Reaction Systems . . . . . . 1633--1658
Margarita Kostré and
Christof Schütte and
Frank Noé and
Mauricio J. del Razo Coupling Particle-Based
Reaction--Diffusion Simulations with
Reservoirs Mediated by
Reaction--Diffusion PDEs . . . . . . . . 1659--1683
Shubin Fu and
Guanglian Li and
Richard Craster and
Sebastien Guenneau Wavelet-based Edge Multiscale Finite
Element Method for Helmholtz problems in
perforated domains . . . . . . . . . . . 1684--1709
Tao Luo and
Yang Xiang and
Jerry Zhijian Yang Finite Temperature Cauchy--Born Rule and
Stability of Crystalline Solids with
Point Defects . . . . . . . . . . . . . 1710--1735
Siu Wun Cheung and
Eric T. Chung and
Yalchin Efendiev and
Wing Tat Leung Explicit and Energy-Conserving
Constraint Energy Minimizing Generalized
Multiscale Discontinuous Galerkin Method
for Wave Propagation in Heterogeneous
Media . . . . . . . . . . . . . . . . . 1736--1759
Xingyu Li Phase Transition and Asymptotic Behavior
of Flocking Cucker--Smale Model . . . . 1760--1783
Maxence Cassier and
Michael I. Weinstein High Contrast Elliptic Operators in
Honeycomb Structures . . . . . . . . . . 1784--1856
Camille Carvalho and
Arnold Kim and
Lori Lewis and
Zo\"\is Moitier Quadrature by Parity Asymptotic
eXpansions (QPAX) for Scattering by High
Aspect Ratio Particles . . . . . . . . . 1857--1884
Eric A. Autry and
Daniel Carter and
Gregory J. Herschlag and
Zach Hunter and
Jonathan C. Mattingly Metropolized Multiscale Forest
Recombination for Redistricting . . . . 1885--1914
Lena Leitenmaier and
Olof Runborg Upscaling Errors in Heterogeneous
Multiscale Methods for the
Landau--Lifshitz Equation . . . . . . . 1--35
Quentin Ayoul-Guilmard and
Anthony Nouy and
Christophe Binetruy Tensor-Based Numerical Method for
Stochastic Homogenization . . . . . . . 36--71
Sylvain Wolf Homogenization of the Stokes System in a
Non-Periodically Perforated Domain . . . 72--106
Chou Kao and
Yu-Yu Liu and
Jack Xin A Semi-Lagrangian Computation of Front
Speeds of $G$-equation in ABC and
Kolmogorov Flows with Estimation via
Ballistic Orbits . . . . . . . . . . . . 107--117
Charles-Edouard Bréhier and
Shmuel Rakotonirina-Ricquebourg On Asymptotic Preserving Schemes for a
Class of Stochastic Differential
Equations in Averaging and Diffusion
Approximation Regimes . . . . . . . . . 118--163
Yongyong Cai and
Yan Wang Uniformly Accurate Nested Picard
Iterative Integrators for the Nonlinear
Dirac Equation in the Nonrelativistic
Regime . . . . . . . . . . . . . . . . . 164--187
Yifan Chen and
Thomas Y. Hou Multiscale Elliptic PDE Upscaling and
Function Approximation via Subsampled
Data . . . . . . . . . . . . . . . . . . 188--219
Paul Dupuis and
Guo-Jhen Wu Analysis and Optimization of Certain
Parallel Monte Carlo Methods in the Low
Temperature Limit . . . . . . . . . . . 220--249
Samuel Heroy and
Dane Taylor and
Feng Shi and
M. Gregory Forest and
Peter J. Mucha Rigidity Percolation in Disordered $3$D
Rod Systems . . . . . . . . . . . . . . 250--281
Jiachuan Cao and
Liqun Cao The Consistency and the Monte Carlo
Method for Semiconductor Boltzmann
Equations with Multivalley . . . . . . . 282--322
Xiaoxue Qin and
Yejun Gu and
Luchan Zhang and
Yang Xiang Continuum Model and Numerical Method for
Dislocation Structure and Energy of
Grain Boundaries . . . . . . . . . . . . 323--348
Philippe Guyenne and
Adilbek Kairzhan and
Catherine Sulem Hamiltonian Dysthe Equation for
Three-Dimensional Deep-Water Gravity
Waves . . . . . . . . . . . . . . . . . 349--378
Konstantin Fackeldey and
Mathias Oster and
Leon Sallandt and
Reinhold Schneider Approximative Policy Iteration for Exit
Time Feedback Control Problems Driven by
Stochastic Differential Equations using
Tensor Train Format . . . . . . . . . . 379--403
Daria Stepanova and
Helen M. Byrne and
Philip K. Maini and
Tomás Alarcón A Method to Coarse-Grain MultiAgent
Stochastic Systems with Regions of
Multistability . . . . . . . . . . . . . 404--432
Stephan Gärttner and
Peter Frolkovic and
Peter Knabner and
Nadja Ray Efficiency of Micro-Macro Models for
Reactive Two-Mineral Systems . . . . . . 433--461
Qingqing Feng and
Gregoire Allaire and
Pascal Omnes Enriched Nonconforming Multiscale Finite
Element Method for Stokes Flows in
Heterogeneous Media Based on High-order
Weighting Functions . . . . . . . . . . 462--492
Guillaume Bal and
Daniel Massatt Multiscale Invariants of Floquet
Topological Insulators . . . . . . . . . 493--523
Beilei Liu and
Huajie Chen and
Genevi\`eve Dusson and
Jun Fang and
Xingyu Gao An Adaptive Planewave Method for
Electronic Structure Calculations . . . 524--550
Julia Schleuß and
Kathrin Smetana Optimal Local Approximation Spaces for
Parabolic Problems . . . . . . . . . . . 551--582
Zeyu Jin and
Ruo Li High-order Numerical Homogenization for
Dissipative Ordinary Differential
Equations . . . . . . . . . . . . . . . 583--617
Yating Wang and
Wing Tat Leung and
Guang Lin AMS-Net: Adaptive Multiscale Sparse
Neural Network with Interpretable Basis
Expansion for Multiphase Flow Problems 618--640
Youjun Deng and
Xiaoping Fang and
Hongyu Liu Gradient Estimates for Electric Fields
with MultiScale Inclusions in the
Quasi-Static Regime . . . . . . . . . . 641--656
Moritz Hauck and
Daniel Peterseim Multi-Resolution Localized Orthogonal
Decomposition for Helmholtz Problems . . 657--684
Anne Dietrich and
Niklas Kolbe and
Nikolaos Sfakianakis and
Christina Surulescu Multiscale Modeling of Glioma Invasion:
From Receptor Binding to Flux-Limited
Macroscopic PDEs . . . . . . . . . . . . 685--713
Per Ljung and
Roland Maier and
Axel Målqvist A Space-Time Multiscale Method for
Parabolic Problems . . . . . . . . . . . 714--740
Shi Jin and
Lei Li and
Yiqun Sun On the Random Batch Method for Second
Order Interacting Particle Systems . . . 741--768
Philip Freese The Heterogeneous Multiscale Method for
Dispersive Maxwell Systems . . . . . . . 769--797
Frédéric Legoll and
Pierre-Lo\"\ik Rothé and
Claude Le Bris and
Ulrich Hetmaniuk An MsFEM Approach Enriched Using
Legendre Polynomials . . . . . . . . . . 798--834
Jingrun Chen and
Rui Du and
Zetao Ma and
Zhiwei Sun and
Lei Zhang On the Multiscale
Landau--Lifshitz--Gilbert Equation:
Two-Scale Convergence and Stability
Analysis . . . . . . . . . . . . . . . . 835--856
Paul C. Bressloff and
Ryan D. Schumm The Narrow Capture Problem with
Partially Absorbing Targets and
Stochastic Resetting . . . . . . . . . . 857--881
Durga Prasad Challa and
Mourad Sini Corrigendum: On the justification of the
Foldy-Lax Approximation for the Acoustic
Scattering by Small Rigid Bodies of
Arbitrary Shapes . . . . . . . . . . . . 882--892
Vladimir Kazeev and
Ivan Oseledets and
Maxim V. Rakhuba and
Christoph Schwab Quantized Tensor FEM for Multiscale
Problems: Diffusion Problems in Two and
Three Dimensions . . . . . . . . . . . . 893--935
Werner Bauer and
Colin Cotter and
Beth Wingate Higher Order Phase Averaging for Highly
Oscillatory Systems . . . . . . . . . . 936--956
Florian Feppon and
Habib Ammari High Order Topological Asymptotics:
Reconciling Layer Potentials and
Compound Asymptotic Expansions . . . . . 957--1001
Sina Dahm and
Christiane Helzel Hyperbolic Systems of Moment Equations
Describing Sedimentation in Suspensions
of Rod-Like Particles . . . . . . . . . 1002--1039
Weizhu Bao and
Yue Feng and
Jia Yin Improved Uniform Error Bounds on
Time-Splitting Methods for the Long-Time
Dynamics of the Dirac Equation with
Small Potentials . . . . . . . . . . . . 1040--1062
Lijian Jiang and
Mengnan Li and
Meng Zhao Online Multiscale Model Reduction for
Nonlinear Stochastic PDEs with
Multiplicative Noise . . . . . . . . . . 1063--1092
Shi Chen and
Qin Li and
Jianfeng Lu and
Stephen J. Wright Manifold Learning and Nonlinear
Homogenization . . . . . . . . . . . . . 1093--1126
Shibin Dai and
Toai Luong and
Xiang Ma Geometric Evolution of Bilayers under
the Degenerate Functionalized
Cahn--Hilliard Equation . . . . . . . . 1127--1146
Rodrigo M. Pereira and
Natacha Nguyen Van Yen and
Kai Schneider and
Marie Farge Adaptive Solution of Initial Value
Problems by a Dynamical Galerkin Scheme 1147--1166
Dane Taylor and
Mason A. Porter and
Peter J. Mucha Erratum: Tunable Eigenvector-Based
Centralities for Multiplex and Temporal
Networks . . . . . . . . . . . . . . . . 1167--1167
Bernhard Maier and
Barbara Verfürth Numerical Upscaling for Wave Equations
with Time-Dependent Multiscale
Coefficients . . . . . . . . . . . . . . 1169--1190
Matthew Li and
Laurent Demanet and
Leonardo Zepeda-Núñez Wide-Band Butterfly Network: Stable and
Efficient Inversion Via Multi-Frequency
Neural Networks . . . . . . . . . . . . 1191--1227
Habib Ammari and
Jinghao Cao and
Erik Orvehed Hiltunen NonReciprocal Wave Propagation in
Space-Time Modulated Media . . . . . . . 1228--1250
Vyacheslav Boyko and
Sebastian Krumscheid and
Nikki Vercauteren Statistical Learning of Nonlinear
Stochastic Differential Equations from
Nonstationary Time Series using
Variational Clustering . . . . . . . . . 1251--1283
Jake Cherry and
Alan E. Lindsay and
Adrián Navarro Hernández and
Bryan Quaife Trapping of Planar Brownian Motion: Full
First Passage Time Distributions by
Kinetic Monte Carlo, Asymptotic, and
Boundary Integral Methods . . . . . . . 1284--1314
Anya Katsevich The Local Equilibrium State of a Crystal
Surface Jump Process in the Rough
Scaling Regime . . . . . . . . . . . . . 1315--1360
T. Muthukumar and
K. Sankar Homogenization of the Stokes System in a
Domain with an Oscillating Boundary . . 1361--1393
Stefano Di Giovacchino and
Desmond J. Higham and
Konstantinos C. Zygalakis A Hierarchy of Network Models Giving
Bistability Under Triadic Closure . . . 1394--1410
Xi Liu and
Zhenhua Chai and
Chengjie Zhan and
Baochang Shi and
Wenhuan Zhang A Diffuse-Domain Phase-Field Lattice
Boltzmann Method for Two-Phase Flows in
Complex Geometries . . . . . . . . . . . 1411--1436
Shubin Fu and
Eric Chung and
Lina Zhao Generalized Multiscale Finite Element
Method for Highly Heterogeneous
Compressible Flow . . . . . . . . . . . 1437--1467
Sagy R. Ephrati and
Erwin Luesink and
Golo Wimmer and
Paolo Cifani and
Bernard J. Geurts Computational Modeling for High-Fidelity
Coarsening of Shallow Water Equations
Based on Subgrid Data . . . . . . . . . 1468--1489
Huajie Chen and
Christoph Ortner and
Yangshuai Wang QM/MM Methods for Crystalline Defects.
Part 3: Machine-Learned MM Models . . . 1490--1518
Yuan Gao and
Tiejun Li and
Xiaoguang Li and
Jian-Guo Liu Transition Path Theory for Langevin
Dynamics on Manifolds: Optimal Control
and Data-Driven Solver . . . . . . . . . 1--33
Antonin Chambolle and
Leonard Kreutz Crystallinity of the Homogenized Energy
Density of Periodic Lattice Systems . . 34--79
Josselin Garnier and
Knut Sòlna Speckle Memory Effect in the Frequency
Domain and Stability in Time-Reversal
Experiments . . . . . . . . . . . . . . 80--118
Sergio Conti and
Martin Rumpf and
Stefan Simon Two-Scale Elastic Shape Optimization for
Additive Manufacturing . . . . . . . . . 119--142
Mingchang Ding and
Jing-Mei Qiu and
Ruiwen Shu Accuracy and Stability Analysis of the
Semi-Lagrangian Method for Stiff
Hyperbolic Relaxation Systems and
Kinetic BGK Model . . . . . . . . . . . 143--167
Sai-Mang Pun and
Siu Wun Cheung Online Adaptive Algorithm for Constraint
Energy Minimizing Generalized Multiscale
Discontinuous Galerkin Method . . . . . 168--193
Changqing Ye and
Eric T. Chung Constraint Energy Minimizing Generalized
Multiscale Finite Element Method for
Inhomogeneous Boundary Value Problems
with High Contrast Coefficients . . . . 194--217
Thomas Y. Hou and
De Huang Potential Singularity Formation of
Incompressible Axisymmetric Euler
Equations with Degenerate Viscosity
Coefficients . . . . . . . . . . . . . . 218--268
Yang Liu and
Jian Song and
Robert Burridge and
Jianliang Qian A Fast Butterfly-Compressed
Hadamard-Babich Integrator for
High-Frequency Helmholtz Equations in
Inhomogeneous Media with Arbitrary
Sources . . . . . . . . . . . . . . . . 269--308
Anya Katsevich Metropolis Crystal Surface Dynamics in
the Rough Scaling Limit: From Local
Equilibrium to Semi-Empirical PDE . . . 309--348
Yaming Zhang and
Ning Jiang and
Jiangyan Liang and
Yi-Long Luo and
Min Tang Pattern Formation of a Pathway-Based
Diffusion Model: Linear Stability
Analysis and an Asymptotic Preserving
Method . . . . . . . . . . . . . . . . . 349--373
Clarissa Astuto and
Antonio Raudino and
Giovanni Russo Multiscale Modeling of Sorption Kinetics 374--399
Si Xiao and
Xianmin Xu and
Zhen Zhang Multiscale Analysis for Dynamic Contact
Angle Hysteresis on Rough Surfaces . . . 400--425
Jianliang Li and
Peijun Li and
Xu Wang Inverse Random Potential Scattering for
Elastic Waves . . . . . . . . . . . . . 426--447
Andreas Bittracher and
Mattes Mollenhauer and
Péter Koltai and
Christof Schütte Optimal Reaction Coordinates:
Variational Characterization and Sparse
Computation . . . . . . . . . . . . . . 449--488
Juntao Huang and
Yingda Cheng and
Andrew J. Christlieb and
Luke F. Roberts and
Wen-An Yong Machine Learning Moment Closure Models
for the Radiative Transfer Equation II:
Enforcing Global Hyperbolicity in
Gradient-Based Closures . . . . . . . . 489--512
Assyr Abdulle and
Doghonay Arjmand and
Edoardo Paganoni An Elliptic Local Problem with
Exponential Decay of the Resonance Error
for Numerical Homogenization . . . . . . 513--541
Arpan Mukherjee and
Mourad Sini Heat Generation Using Lorentzian
Nanoparticles: Estimation via
Time-Domain Techniques . . . . . . . . . 542--597
Debdeep Bhattacharya and
Robert P. Lipton Quasistatic Evolution with Unstable
Forces . . . . . . . . . . . . . . . . . 598--623
Gökce Tuba Masur and
Haidar Mohamad and
Marcel Oliver Quasi-Convergence of an Implementation
of Optimal Balance by Backward-Forward
Nudging . . . . . . . . . . . . . . . . 624--640
Kaushik Bhattacharya and
Burigede Liu and
Andrew Stuart and
Margaret Trautner Learning Markovian Homogenized Models in
Viscoelasticity . . . . . . . . . . . . 641--679
Grigorios A. Pavliotis and
Gabriel Stoltz and
Urbain Vaes Mobility Estimation for Langevin
Dynamics Using Control Variates . . . . 680--715
Jihun Han and
Yoonsang Lee A Neural Network Approach for
Homogenization of Multiscale Problems 716--734
Lina Zhao and
Eric Chung Constraint Energy Minimizing Generalized
Multiscale Finite Element Method for
Convection Diffusion Equation . . . . . 735--752
Jialei Li and
Xiaodong Liu Reconstruction of Multiscale
Electromagnetic Sources from
Multifrequency Electric Far Field
Patterns at Sparse Observation
Directions . . . . . . . . . . . . . . . 753--775
Xiaoying Dai and
Stefano de Gironcoli and
Bin Yang and
Aihui Zhou Mathematical Analysis and Numerical
Approximations of Density Functional
Theory Models for Metallic Systems . . . 777--803
Haigang Li and
Yan Zhao The Interaction Between Two
Close-To-Touching Convex Acoustic
Subwavelength Resonators . . . . . . . . 804--826
Richard V. Craster and
Bryn Davies Asymptotic Characterization of Localized
Defect Modes: Su--Schrieffer--Heeger and
Related Models . . . . . . . . . . . . . 827--848
Yifan Chen and
Thomas Y. Hou and
Yixuan Wang Exponentially Convergent Multiscale
Methods for $2$D High Frequency
Heterogeneous Helmholtz Equations . . . 849--883
Jiachuan Cao and
Li-qun Cao Convergence of a Direct Simulation Monte
Carlo Method for the Space Inhomogeneous
Semiconductor Boltzmann Equations with
Multi-valley . . . . . . . . . . . . . . 884--924
Sameh N. Hameedi and
Amir Sagiv and
Michael I. Weinstein Radiative Decay of Edge States in
Floquet Media . . . . . . . . . . . . . 925--963
Habib Ammari and
Silvio Barandun and
Jinghao Cao and
Florian Feppon Edge Modes in Subwavelength Resonators
in One Dimension . . . . . . . . . . . . 964--992
Patrick Henning and
Anna Persson On Optimal Convergence Rates for
Discrete Minimizers of the
Gross--Pitaevskii Energy in Localized
Orthogonal Decomposition Spaces . . . . 993--1011
Junshan Lin and
Wangtao Lu and
Hai Zhang Mathematical Theory for Electromagnetic
Scattering Resonances and Field
Enhancement in a Subwavelength Annular
Gap . . . . . . . . . . . . . . . . . . 1012--1052
Christoph Ortner and
Yangshuai Wang A Framework for a Generalization
Analysis of Machine-Learned Interatomic
Potentials . . . . . . . . . . . . . . . 1053--1080
Guillaume Bal and
Paul Cazeaux and
Daniel Massatt and
Solomon Quinn Mathematical Models of Topologically
Protected Transport in Twisted Bilayer
Graphene . . . . . . . . . . . . . . . . 1081--1121
Ellis R. Crabtree and
Juan M. Bello-Rivas and
Andrew L. Ferguson and
Ioannis G. Kevrekidis GANs and Closures: Micro-Macro
Consistency in Multiscale Modeling . . . 1122--1146
Ying Cao and
Yi Zhu Double Dirac Cones in Band Structures of
Periodic Schroedinger Operators . . . . 1147--1169
Gabriel Earle and
Brian Van Koten Aggregation Methods for Computing Steady
States in Statistical Physics . . . . . 1170--1209
Ana\"\is Crestetto and
Nicolas Crouseilles and
Damien Prel Multiscale Numerical Schemes for the
Collisional Vlasov Equation in the
Finite Larmor Radius Approximation
Regime . . . . . . . . . . . . . . . . . 1210--1236
Giulia Bertaglia and
Lorenzo Pareschi Multiscale Constitutive Framework of
One-Dimensional Blood Flow Modeling:
Asymptotic Limits and Numerical Methods 1237--1267
Paul C. Bressloff The $3$D Narrow Capture Problem for
Traps with Semipermeable Interfaces . . 1268--1298
Adel Messaoudi and
Regis Cottereau and
Christophe Gomez Boundary Effects in Radiative Transfer
of Acoustic Waves in a Randomly
Fluctuating Half-space . . . . . . . . . 1299--1321
Yahong Yang and
Luchan Zhang and
Yang Xiang Stochastic Continuum Models for
High-Entropy Alloys with Short-range
Order . . . . . . . . . . . . . . . . . 1323--1343
Daniel Massatt and
Stephen Carr and
Mitchell Luskin Electronic Observables for Relaxed
Bilayer Two-Dimensional Heterostructures
in Momentum Space . . . . . . . . . . . 1344--1378
Derek Olson and
Christoph Ortner and
Yangshuai Wang and
Lei Zhang Elastic Far-Field Decay from
Dislocations in Multilattices . . . . . 1379--1409