Last update: Wed Oct 26 02:10:52 MDT 2005
Top |
Symbols |
Math |
A |
B |
C |
D |
E |
F |
G |
H |
I |
J |
K |
L |
M |
N |
O |
P |
Q |
R |
S |
T |
U |
V |
W |
X |
Y |
Z
BibTeX entry
@Article{Saranen:1985:ACC,
author = "J. Saranen and W. L. Wendland",
title = "On the asymptotic convergence of collocation methods
with spline functions of even degree",
journal = j-MATH-COMPUT,
volume = "45",
number = "171",
pages = "91--108",
month = jul,
year = "1985",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N99 (35S99)",
MRnumber = "86m:65159",
MRreviewer = "C. Phillips",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); B0290P
(Differential equations); B0290R (Integral equations);
C4110 (Error analysis in numerical methods); C4130
(Interpolation and function approximation); C4170
(Differential equations); C4180 (Integral equations)",
corpsource = "Dept. of Math., Tech. Univ. of Darmstadt, West
Germany",
keywords = "analysis; asymptotic convergence; asymptotic error;
asymptotic error estimates; Babu{\v{s}}ka's; boundary
element methods; boundary-elements methods; Cauchy
kernels; closed curves; collocation methods; constant
coefficient principal parts; convergence of numerical
methods; convolutional; elliptic integrodifferential;
elliptic pseudodifferential; equations; equivalence;
error; error analysis; estimates; even-degree splines;
explicit Fourier analysis; Fourier analysis; Fredholm
integral equations; integral equations;
integro-differential equations; linear equations;
partial differential; polynomial splines; principal
part; singular integral equations; Sobolev spaces;
splines (mathematics); stability condition; strong
ellipticity; variational methods; variational
techniques",
treatment = "T Theoretical or Mathematical",
}
Related entries
- 35S99,
48(178)485
- 65N99,
36(154)475,
37(155)31,
37(155)47,
37(156)361,
40(162)537,
46(173)71,
47(176)421,
48(178)449,
52(186)321,
52(186)539,
53(187)203
- asymptotic,
35(151)803,
35(152)1063,
35(152)1309,
35(152)1435,
36(153)215,
37(155)189,
37(156)321,
37(156)503,
37(156)509,
38(157)143,
39(159)195,
39(160)617,
39(160)655,
41(163)199,
41(164)349,
41(164)487,
43(168)455,
43(168)483,
44(169)151,
44(170)537,
45(171)197,
45(172)537,
47(175)253,
47(175)347,
47(176)683,
48(178)449,
48(178)633,
48(178)725,
49(179)243,
49(179)275,
49(180)445,
49(180)461,
49(180)499,
50(181)215,
50(181)229,
51(183)75,
51(183)167,
51(184)581,
51(184)659,
52(186)275
- Babu{\v{s}}ka,
35(152)1113
- boundary-elements,
46(173)71,
48(178)485,
49(180)461,
49(180)479,
52(185)31
- Cauchy,
36(154)603,
37(156)417,
38(157)55,
40(161)1,
41(163)63,
44(169)191,
45(171)35,
45(171)277,
47(175)135,
48(178)725,
49(179)259,
50(181)179,
50(182)399,
50(182)655,
51(183)133,
51(183)267,
51(184)741,
52(185)95,
53(187)279
- closed,
35(152)1325,
36(153)137,
39(160)647,
44(169)233,
46(173)171,
47(175)323,
48(178)565,
52(186)545
- coefficient,
34(149)203,
34(150)553,
35(151)893,
35(152)1177,
35(152)1361,
35(152)1379,
36(153)107,
36(153)183,
36(154)375,
36(154)547,
36(154)555,
37(155)233,
37(156)293,
37(156)403,
37(156)475,
37(156)495,
38(157)37,
39(160)415,
39(160)599,
39(160)689,
40(161)1,
40(162)537,
41(163)27,
42(165)241,
42(166)369,
42(166)521,
43(167)157,
43(167)247,
43(168)383,
43(168)603,
43(168)z,
44(170)495,
45(171)65,
45(172)279,
47(175)77,
47(176)473,
47(176)503,
47(176)571,
48(177)147,
48(177)265,
49(179)231,
49(180)523,
50(181)19,
50(181)197,
50(181)265,
51(183)325,
51(184)431,
52(186)561,
53(187)103,
53(187)203,
53(187)355
- collocation,
35(151)679,
35(152)1081,
36(153)1,
36(153)21,
36(153)107,
36(154)405,
38(158)531,
40(161)123,
40(162)499,
41(164)349,
42(165)95,
42(166)417,
43(167)157,
45(172)417,
45(172)497,
46(173)119,
46(174)479,
47(175)159,
48(178)485,
48(178)585,
48(178)617,
49(180)461,
50(181)125,
50(182)385,
51(183)167,
51(184)559,
52(185)65,
53(188)571
- condition,
35(151)733,
35(152)1113,
35(152)1177,
36(153)93,
38(158)415,
40(162)499,
41(163)1,
41(164)309,
41(164)425,
42(165)25,
43(168)369,
43(168)455,
44(169)1,
44(169)31,
45(172)301,
45(172)537,
46(173)191,
46(174)425,
46(174)567,
47(175)37,
47(175)103,
47(175)219,
47(176)399,
47(176)421,
47(176)437,
47(176)537,
47(176)639,
48(178)449,
49(179)1,
49(179)39,
49(179)65,
49(180)379,
50(181)53,
50(182)449,
51(183)1,
51(183)55,
51(184)415,
51(184)581,
51(184)599,
51(184)631,
51(184)757,
53(187)1,
53(187)55,
53(187)81,
53(187)103,
53(188)547
- constant,
34(149)305,
34(150)373,
35(152)1191,
37(155)79,
39(159)195,
39(160)415,
44(169)241,
44(169)z-1,
44(170)283,
45(171)1,
45(172)365,
45(172)621,
46(173)59,
48(177)55,
48(178)854,
49(180)479,
49(180)523,
49(180)635,
50(181)275,
51(183)281,
53(187)81,
53(187)103,
53(188)649
- curve,
34(150)529,
35(151)991,
36(153)93,
38(157)257,
39(159)235,
40(161)253,
41(164)383,
44(170)473,
44(170)483,
45(171)23,
45(172)487,
46(174)627,
46(174)637,
47(176)741,
48(177)95,
48(177)203,
48(177)243,
48(177)351,
48(177)371,
48(177)425,
48(178)485,
49(179)203,
49(179)215,
49(179)301,
49(180)461,
51(183)167,
51(183)339,
51(183)375,
51(184)677,
51(184)825,
52(185)231,
52(186)545,
53(187)265,
53(187)431
- degree,
35(152)1275,
39(160)599,
40(161)219,
43(167)346-1,
44(169)281,
46(173)1,
46(174)567,
46(174)601,
46(174)731,
46(174)z,
48(178)737,
53(187)103
- differential, integro-,
35(151)783,
37(155)95,
39(159)165,
42(165)95,
45(172)439,
45(172)z,
53(187)121,
53(188)485,
53(188)509,
53(188)571
- elements, boundary-,
46(173)71,
48(178)485,
49(180)461,
49(180)479,
52(185)31
- equivalence,
37(155)185,
43(167)313,
45(171)143,
48(178)617
- even,
34(149)259,
48(177)85
- explicit,
38(157)227,
40(161)175,
40(161)193,
40(161)207,
40(161)317,
42(165)195,
42(165)265,
42(165)287,
44(170)391,
46(173)135,
46(174)379,
46(174)637,
47(175)19,
47(175)225,
48(178)625,
48(178)781,
49(180)543,
50(181)53,
50(182)557,
53(187)303,
53(188)721
- Fourier,
35(151)757,
36(153)189,
37(156)403,
37(156)509,
38(157)227,
39(160)535,
41(163)103,
42(165)241,
43(167)247,
43(167)347-1,
47(175)323,
47(176)693,
48(177)139,
48(178)617,
52(186)389,
53(188)589
- Fredholm,
36(153)215,
36(154)405,
39(160)519,
48(178)565,
48(178)595,
48(178)617,
49(180)499,
51(183)133
- integro-differential,
35(151)783,
37(155)95,
39(159)165,
42(165)95,
45(172)439,
45(172)z,
53(187)121,
53(188)485,
53(188)509,
53(188)571
- kernel,
35(151)797,
37(155)95,
39(160)519,
49(180)499,
52(185)49,
53(187)121,
53(188)571
- mathematics,
36(153)247,
36(154)555,
36(154)631,
37(156)417,
37(156)475,
37(156)495,
37(156)509,
37(156)547,
38(157)113,
39(160)519,
39(160)535,
40(162)419,
41(163)131,
41(163)143,
41(163)183,
41(164)383,
42(165)151,
42(165)195,
42(165)199,
43(167)247,
43(167)261,
43(168)529,
44(169)177,
44(170)561,
45(171)263,
45(172)329,
45(172)417,
45(172)497,
45(172)521,
46(173)191,
46(173)203,
46(173)215,
46(174)567,
47(175)323,
47(176)683,
47(176)713,
47(176)729,
48(177)29,
48(177)103,
48(177)123,
48(177)147,
48(177)265,
48(178)485,
48(178)675,
48(178)711,
49(179)269,
49(180)461,
49(180)479,
49(180)595,
50(181)197,
50(181)207,
50(181)251,
50(181)261,
50(181)265,
50(181)275,
50(181)283,
50(181)297,
51(183)203,
51(183)219,
51(183)291,
51(183)301,
51(183)339,
53(187)219,
53(187)235,
53(187)335,
53(188)571
- part,
35(151)655,
36(154)475,
38(158)567,
40(161)175,
40(161)193,
41(163)203,
43(167)29,
43(167)47,
47(176)713,
47(176)729,
53(188)485,
53(188)509
- Phillips, C.,
41(163)13
- principal,
38(157)261,
41(163)63,
44(169)191,
44(169)199,
45(171)277,
48(177)55,
48(178)725,
49(179)259,
50(182)569,
50(182)655,
51(183)133,
51(183)267,
51(184)741,
52(185)95,
53(187)203,
53(187)279
- singular,
35(151)695,
36(153)193,
36(153)207,
37(155)79,
37(155)169,
37(155)189,
37(156)417,
37(156)503,
39(160)519,
41(163)79,
41(163)87,
42(166)345,
42(166)441,
42(166)535,
43(167)157,
43(167)219,
43(168)415,
43(168)447,
43(168)483,
44(169)93,
44(169)191,
44(169)199,
44(170)345,
45(172)393,
45(172)417,
46(173)93,
46(173)229,
47(175)159,
47(176)571,
47(176)609,
47(176)625,
49(179)167,
49(180)499,
49(180)561,
50(181)179,
51(183)27,
51(183)133,
51(183)267,
53(188)471
- Sobolev,
34(150)441,
36(153)53,
37(155)13,
38(157)67,
41(164)383,
42(165)69,
45(172)319,
46(174)457,
47(175)19,
47(176)597,
48(178)485,
51(183)167
- space,
34(149)23,
34(149)185,
34(150)441,
34(150)521,
35(152)1039,
35(152)1093,
35(152)1191,
35(152)1347,
36(153)53,
36(153)137,
36(154)321,
36(154)375,
36(154)427,
37(155)13,
37(155)31,
38(157)1,
38(157)37,
38(157)67,
39(160)325,
39(160)339,
39(160)563,
40(162)607,
40(162)633,
41(164)321,
41(164)383,
42(165)1,
42(165)95,
42(166)345,
42(166)417,
43(167)21,
43(167)289,
43(168)415,
43(168)447,
43(168)573,
44(169)39,
44(170)495,
45(171)209,
45(172)319,
45(172)329,
45(172)405,
46(173)59,
46(173)71,
47(176)597,
48(178)521,
48(178)565,
48(178)675,
49(179)17,
49(179)65,
49(179)105,
49(179)167,
49(180)359,
51(184)491,
51(184)615,
52(186)255,
53(187)1,
53(187)81,
53(187)219,
53(188)455,
53(188)471,
53(188)527
- spline,
37(156)417,
38(157)113,
39(160)519,
39(160)535,
40(161)243,
40(162)419,
41(163)131,
41(163)143,
41(164)383,
42(165)95,
42(165)151,
43(167)347-1,
45(172)329,
45(172)417,
45(172)497,
46(173)191,
46(173)203,
46(174)567,
48(178)485,
48(178)675,
48(178)711,
49(180)461,
50(181)197,
51(183)203,
51(183)219,
53(187)219,
53(187)235,
53(188)571
- stability,
34(149)77,
34(149)127,
35(151)817,
35(152)1113,
35(152)1235,
36(153)93,
36(153)107,
36(154)321,
36(154)603,
37(155)69,
37(156)293,
37(156)307,
37(156)399,
38(157)99,
38(157)171,
38(158)431,
39(160)443,
39(160)491,
39(160)511,
40(161)1,
40(161)207,
41(163)1,
42(165)9,
42(165)41,
43(168)433,
44(170)361,
44(170)391,
45(172)279,
45(172)301,
45(172)377,
45(172)463,
45(172)471,
46(173)1,
46(173)45,
46(174)479,
47(175)19,
47(175)37,
47(175)151,
47(175)191,
47(176)473,
47(176)511,
47(176)z-1,
48(178)503,
48(178)521,
48(178)551,
48(178)625,
49(179)65,
51(183)93,
51(184)559,
51(184)599,
51(184)631,
52(186)437,
52(186)495,
52(186)587,
53(187)81,
53(188)547
- strong,
35(151)941,
39(159)239,
39(159)255,
39(160)663,
46(173)259
- technique,
34(149)155,
34(150)465,
34(150)473,
35(151)655,
35(152)1173,
36(153)241,
36(154)485,
37(155)95,
39(160)309,
39(160)617,
40(161)323,
40(162)647,
42(166)345,
42(166)427,
42(166)567,
43(167)21,
43(167)157,
43(168)447,
44(170)443,
45(171)1,
45(171)65,
45(171)153,
45(171)z,
45(172)487,
45(172)621,
46(173)59,
46(173)203,
46(174)371,
46(174)731,
47(175)135,
47(175)169,
47(176)503,
48(178)551,
48(178)651,
49(179)1,
49(179)203,
49(180)461,
50(181)1,
50(181)189,
51(183)27,
51(183)93,
51(183)387,
51(184)431,
51(184)477,
51(184)721,
51(184)741,
52(186)299,
52(186)411,
52(186)561,
53(187)235
- variational,
35(152)1131,
38(157)55,
39(160)309,
41(164)473,
42(166)427,
47(175)169,
52(186)411,
53(187)55