Last update:
Wed Dec 20 12:47:08 MST 2023
Michael A. Golberg Invariant imbedding and Riccati
transformations . . . . . . . . . . . . 1--24
Robert E. Kalaba and
Melvin R. Scott An initial-value method for integral
operators V. Kernels depending upon a
parameter . . . . . . . . . . . . . . . 25--35
V. K. Murthy and
J. M. Weiner Analysis of clinical events: the case of
two dependent observations . . . . . . . 37--46
L. F. Shampine and
M. K. Gordon Local error and variable order Adams
codes . . . . . . . . . . . . . . . . . 47--66
W. Robert Boland and
Paul Nelson, Jr. Critical lengths by numerical
integration of the associated Riccati
equation to singularity . . . . . . . . 67--82
Frank Stenger Connection between a Cauchy system
representation of Kalaba and Fourier
transforms . . . . . . . . . . . . . . . 83--91
Anonymous Editorial . . . . . . . . . . . . . . . ??
Anonymous Editorial board . . . . . . . . . . . . ??
Michael A. Golberg Some functional relations for two point
boundary value problems --- II. The
inhomogeneous case . . . . . . . . . . . 93--104
Donald E. Yett and
Leonard Drabek and
Michael D. Intriligator and
Larry J. Kimbell A microsimulation model of the health
care system: the role of the hospital
sector . . . . . . . . . . . . . . . . . 105--130
Alain L. Fymat Remote monitoring of environmental
particulate pollution: a problem in
inversion of first-kind integral
equations . . . . . . . . . . . . . . . 131--185
Melvin R. Scott and
Walter H. Vandevender A comparison of several invariant
imbedding algorithms for the solution of
two-point boundary-value problems . . . 187--218
Dale W. Alspaugh Solution of some simple problems in the
conduction and radiation of heat by
invariant imbedding . . . . . . . . . . 219--232
Gerhard Tintner Multicollinearity . . . . . . . . . . . 233--242
J. K. Mahesh and
K. S. P. Kumar Determination of the optimal constant
output feedback gains for linear
discrete systems . . . . . . . . . . . . 243--252
R. E. Kalaba and
K. Spingarn and
E. Zagustin On the integral equation method for
buckling loads . . . . . . . . . . . . . 253--261
Alan P. Wang Latin square and intersection of surface 263--277
M. R. Scott Book Review: N. Distefano,
\booktitleNonlinear Processes in
Engineering, Academic Press, NY, 1974
and R. E. Bellman and G. M. Wing,
\booktitleAn Introduction to Invariant
Imbedding, John Wiley and Sons, NY, 1975 279--280
Michael A. Golberg The conversion of Fredholm integral
equations to equivalent Cauchy problems 1--18
J. Casti Minimal control fields and pole-shifting
by linear feedback . . . . . . . . . . . 19--28
Richard Vahrenkamp Derivatives of the dominant root . . . . 29--39
Larry J. Kimbell A general equilibrium analysis of
health-consumption externalities . . . . 41--62
Eugene D. Denman and
Alex N. Beavers, Jr. The matrix sign function and
computations in systems . . . . . . . . 63--94
Anonymous Editorial board . . . . . . . . . . . . C02--C02
Truett L. Smith and
Chris P. Tsokos On approximating the expected behavior
of stochastic epidemiological models
applicable to small populations . . . . 95--111
Joseph F. McGrath Invariant imbedding applied to a class
of freholm integral equations . . . . . 113--160
L. F. Shampire Quadrature and Runge--Kutta formulas . . 161--171
J. B. Rivard and
M. R. Scott The two-phase, three-zone melting
problem --- response to pulse heating 173--187
James K. Brewer A cumulative autoregressive model for
choice behavior . . . . . . . . . . . . 189--196
Y. M. Chen and
J. Surmont Iterative algorithms for nonlinear
problems in remote sensing . . . . . . . 197--228
Anatol I. Zagustin and
Elena A. Zagustin Hydrodynamic analogy for direct shear
force and bending moment evaluation in a
plate . . . . . . . . . . . . . . . . . 229--255
D. Kolb Numerical analysis and orthogonal
polynomials . . . . . . . . . . . . . . 257--272
Bart Childs and
M. J. Maron An efficient Newton's method for
optimization under equality constraints 273--282
T. N. Bhargava and
V. R. R. Uppuluri Sampling distribution of Gini's index of
diversity . . . . . . . . . . . . . . . 1--24
W. Robert Boland and
R. E. Haymond The numerical solution of Fredholm
integral equations with rapidly varying
kernels . . . . . . . . . . . . . . . . 25--38
Michael A. Golberg The conversion of Fredholm integral
equations to equivalent Cauchy problems
--- II. Computation of resolvents . . . 39--58
H. H. Kagiwada and
R. E. Kalaba Estimation of parameters in
Belkin--Blumstein--Glass Models of the
criminal justice system . . . . . . . . 59--67
Michael G. Strintzis Diagonalization, rank calculation and
generalized inverses of rational
matrices . . . . . . . . . . . . . . . . 69--84
Photios A. Anninos and
V. K. Murthy Statistical analysis of brain waves from
randomly interconnected neural nets . . 85--94
S. P. Azen and
J. B. Margolick and
R. P. Sherwin An experimental model and automated
methodology for the analysis of the
effects of ambient levels of air
pollutants on the lung . . . . . . . . . 95--102
W. D. Murphy Hermite interpolation and $A$-stable
methods for stiff ordinary differential
equations . . . . . . . . . . . . . . . 103--112
J. J. Higgins and
D. M. Tichenor Window estimates of location and scale
with applications to the Cauchy
distribution . . . . . . . . . . . . . . 113--126
M. J. Goovaerts and
L. D'Hooge and
N. De Pril On the infinite divisibility of the
product of two $r$-distributed
stochastical variables . . . . . . . . . 127--135
K. S. P. Kumar and
T. H. Yam Discrete observer in the design of
sampled-data control systems . . . . . . 137--154
J. Eisenfeld and
V. Lakshmikantham Fixed point theorems on closed sets
through abstract cones . . . . . . . . . 155--167
Vrudhula K. Murthy and
L. Julian Haywood Sample size determination for comparing
two therapies taking both the $\alpha$
(type I or false positive) error and the
$\beta$ (type II or false negative)
error into consideration . . . . . . . . 169--174
J. Garfinkle and
H. Kagiwada and
R. Kalaba and
E. McLain A computational method for fitting
Richardson equations of arms races . . . 175--185
Harry W. Richardson Book Review: \booktitleEnergy:
Mathematics and models: Roberts, Fred S.
(Ed.), Society for Industrial and
Applied Mathematics, Philadelphia, PA,
1976, xxvvii + 276 pp., \$16.00} . . . . 187--187
Lawrence F. Shampine Local error control in codes for
ordinary differential equations . . . . 189--210
C. Mus\`es Applied hypernumbers: computational
concepts . . . . . . . . . . . . . . . . 211--226
D. S. Ward and
I. Rubin and
R. J. Sclabassi Applications of queuing theory to some
problems in neuronal circuitry* . . . . 227--245
John Richardson and
Vrudhula K. Murthy and
L. Julian Haywood Representation of the interevent
intervals between a set of nonuniformly
distributed ``points'' or ``events''* 247--251
K. Lange and
N. Risch and
C. Louy Laplace transforms for residual waiting
times* . . . . . . . . . . . . . . . . . 253--264
A. Miele and
A. Calabro and
F. Rossi and
A. K. Wu The prerestorative step in the
sequential Gradient-Restoration
Algorithm for mathematical programming
problems with inequality constraints* 265--280
Leigh Tesfatsion Book Review: \booktitleProbability
Theory With the Essential Analysis: J.
Susan Milton and Chris P. Tsokos,
Applied Mathematics and Computation,
Addison-Wesley Publishing Company, Inc.
1976, 335 pages . . . . . . . . . . . . 281--281
S. R. Bernfeld and
M. E. Lord A nonlinear variation of constants
method for integro differential and
integral equations . . . . . . . . . . . 1--14
Donald Greenspan Computer studies of a von Neumann type
fluid . . . . . . . . . . . . . . . . . 15--25
Leigh Tesfatsion A new approach to filtering and adaptive
control: stability results . . . . . . . 27--44
C. Mus\`es Hypernumbers --- II. Further concepts
and computational applications . . . . . 45--66
John M. Bownds A modified Galerkin approximation method
for Volterra equations with smooth
kernels . . . . . . . . . . . . . . . . 67--79
V. Lakshmikantham and
Patrick Sutherland On the zeros of monotone operators of
retarded type in a Banach space . . . . 81--91
Anonymous Editorial board . . . . . . . . . . . . ??
M. E. Lord and
A. Richard Mitchell A new approach to the method of
nonlinear variation of parameters . . . 95--105
V. Lakshmikantham and
S. Leela On the existence of zeros of
Lyapunov-monotone operators . . . . . . 107--119
Ian Gladwell On the numerical solution of a
differential nonlinear eigenvalue
problem on an infinite range . . . . . . 121--137
Jay Helms and
Harriet Kagiwada and
Robert Kalaba and
John Niedercorn Fitting differential equation models to
observed economic data --- I.
Quasilinearization . . . . . . . . . . . 139--145
V. Lakshmikantham and
M. Lord Sobolev type differential equations . . 147--155
J. J. Higgins and
D. M. Tichenor Efficiencies for window estimates of the
parameters of the Cauchy distribution 157--165
Selmo Tauber An application of the Hadamard product
to air pollution . . . . . . . . . . . . 167--176
Zavdi L. Lichtman A unified approach for finding real and
integer solutions to systems of linear
inequalities . . . . . . . . . . . . . . 177--186
Martin M. Roffman and
Lawrence P. McNamee Digital filtering of stochastic-network
decision-node noise . . . . . . . . . . 189--199
Diethard Pallaschke Markets with countably infinitely many
traders . . . . . . . . . . . . . . . . 201--212
S. Quinnez and
P. Hillion and
G. Nurdin Iterative method for invariant imbedding 213--237
J. S. Kowalik and
S. P. Kumar Fast Givens transformations applied to
the homogeneous optimization method . . 239--252
M. E. Lord Existence and uniqueness of Sobolev type
integrodifferential equations . . . . . 253--263
Robert S. Conker and
Robert J. Lambert Inverse Iteration: an Alternative Form 265--275
Stephen Barnett Comments on ``The matrix sign function
and computations in systems'' by E. D.
Denman and A. N. Beavers . . . . . . . . 277--279
Anonymous Errata: Corrections to ``Hypernumbers
--- II. Further concepts and
computational applications'', by C.
Mus\`es, Applied Math. Comput. \bf 4,
45--66 (1978) . . . . . . . . . . . . . 281--281
W. K. Chan and
K. S. P. Kumar Nonlinear smoothing: approximate
algorithms . . . . . . . . . . . . . . . 1--22
Alain L. Fymat A generalization of Cooke's integral
inversion formula with application to
remote-sensing theory . . . . . . . . . 23--39
S. M. Yamashiro and
J. A. Daubenspeck and
F. M. Bennett Optimal regulation of left ventricular
ejection pattern . . . . . . . . . . . . 41--54
J. Buell and
R. Kalaba and
D. Marsh On a boundary value problem in the
theory of urine formation . . . . . . . 55--67
James Hess and
Harriet Kagiwada and
Robert Kalaba and
Chris Tsokos Cooperative dynamic programming . . . . 69--74
Steven M. Serbin Rational approximations of trigonometric
matrices with application to
second-order systems of differential
equations . . . . . . . . . . . . . . . 75--92
Lawrence F. Shampine and
Herman A. Watts The art of writing a Runge--Kutta code.
II. . . . . . . . . . . . . . . . . . . 93--121
Michael A. Golberg A method of adjoints for solving some
Ill-posed equations of the first kind 123--129
Chris P. Tsokos and
R. L. W. Welch Robustness of the Bayes optimal
discriminant procedure with 0-1 loss . . 131--148
Bradford R. Crain Estimating the parameters of a truncated
normal distribution . . . . . . . . . . 149--156
Gursharan S. Sidhu and
Howard L. Weinert Dynamical recursive algorithms for
Lg-spline interpolation of EHB data . . 157--185
Jerome Eisenfeld and
Van C. Mow Asymptotic properties of a nonlinear
diffusion process arising in articular
cartilage . . . . . . . . . . . . . . . 187--198
J. Hess and
H. Kagiwada and
R. Kalaba and
K. Spingarn and
C. Tsokos Optimal tactics for close support
operations. II. Degraded communications
with linear time-varying dynamics . . . 199--212
Dale W. Alspaugh Application of invariant imbedding to
linear multipoint boundary value
problems with general boundary
conditions . . . . . . . . . . . . . . . 213--232
Goodarz Ahmadi On the mean square stability of linear
difference equations . . . . . . . . . . 233--241
P. Van Goethem and
M. J. Goovaerts Approximation formulae for compound
Poisson processes for a kind of claim
distributions having a prescribed
asymptotic behavior . . . . . . . . . . 243--251
Milan Kubí\vcek and
Milo\vs Marek Evaluation of limit and bifurcation
points for algebraic equations and
nonlinear boundary-value problems . . . 253--264
Joseph F. McGrath Gaussian product-type quadratures . . . 265--280