A note on the stability of ENO multiresolution

被引：1

作者：

Amat, S ^{[1
]}

Busquier, S ^{[1
]}

机构：

[1] UP Cartagena, Dept Matemat Aplicada & Estadist, Murcia, Spain

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2002年 / 79卷 / 10期

关键词：

stability; essentially nonoscillatory method; multiresolution;

D O I：

10.1080/00207160212711

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a nonlinear multiresolution is constructed based on a modified stencil algorithm. The stability properties of the ENO (essential nonoscillatory) multiresolution are studied. A new data-compression strategy is presented in order to obtain explicit error bounds.

引用

页码：1093 / 1098

页数：6

共 12 条

[1] AMAT S, 2001, IN PRESS ACHA
[2] AMAT S, 2000, IN PRESS SIGNAL PROC
[3] Aràndiga F, 1999, SIAM J SCI COMPUT, V20, P1053, DOI 10.1137/S1064827596308822
[4] Multiresolution based on weighted averages of the hat function I: Linear reconstruction techniques
Arandiga, F
Donat, R
Harten, A
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1998, 36 (01) : 160 - 203
[5] STUDIES ON ERROR PROPAGATION FOR CERTAIN NONLINEAR APPROXIMATIONS TO HYPERBOLIC-EQUATIONS - DISCONTINUITIES IN DERIVATIVES
DONAT, R
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1994, 31 (03) : 655 - 679
[6] DISCRETE MULTIRESOLUTION ANALYSIS AND GENERALIZED WAVELETS
HARTEN, A
[J]. APPLIED NUMERICAL MATHEMATICS, 1993, 12 (1-3) : 153 - 192
[7] SOME RESULTS ON UNIFORMLY HIGH-ORDER ACCURATE ESSENTIALLY NONOSCILLATORY SCHEMES
HARTEN, A
OSHER, S
ENGQUIST, B
CHAKRAVARTHY, SR
[J]. APPLIED NUMERICAL MATHEMATICS, 1986, 2 (3-5) : 347 - 377
[8] HARTEN A, 1987, J COMPUT PHYS, V71, P231, DOI [10.1016/0021-9991(87)90031-3, 10.1006/jcph.1996.5632]
[9] UNIFORMLY HIGH-ORDER ACCURATE NONOSCILLATORY SCHEMES .1.
HARTEN, A
OSHER, S
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1987, 24 (02) : 279 - 309
[10] Untitled
Hartley, MG
[J]. INTERNATIONAL JOURNAL OF ELECTRICAL ENGINEERING EDUCATION, 1996, 33 (01) : 3 - 3

← 1 2 →