Convergence of monotone finite-difference approximations of a quasilinear conservation law

被引：0

作者：

Voloshin S.A.

机构：

来源：

Computational Mathematics and Modeling | 2006年 / 17卷 / 1期

关键词：

Mathematical Modeling; Computational Mathematic; Weak Solution; Cauchy Problem; Industrial Mathematic;

D O I：

10.1007/s10598-006-0013-5

中图分类号：

学科分类号：

摘要：

We consider a class of finite-difference approximations of the weak solution of the Cauchy problem including both explicit and implicit schemes. Monotonicity conditions are stated. Stability and convergence are investigated, accuracy bounds are obtained. © 2006 Springer Science+Business Media, Inc.

引用

页码：66 / 75

页数：9

共 50 条

[1] Stability and convergence of monotone finite-difference approximations to a quasilinear conservation law
Voloshin, SA
DIFFERENTIAL EQUATIONS, 2005, 41 (07) : 963 - 969
[2] Stability and Convergence of Monotone Finite-Difference Approximations to a Quasilinear Conservation Law
S. A. Voloshin
Differential Equations, 2005, 41 : 963 - 969
[3] On the convergence, uniform with respect to a small parameter, of monotone three-point finite-difference approximations
Andreev, VB
Kopteva, NV
DIFFERENTIAL EQUATIONS, 1998, 34 (07) : 921 - 929
[4] MONOTONE FINITE-DIFFERENCE APPROXIMATIONS TO THE ADVECTION-CONDENSATION PROBLEM
GRABOWSKI, WW
SMOLARKIEWICZ, PK
MONTHLY WEATHER REVIEW, 1990, 118 (10) : 2082 - 2097
[5] ONE CLASS OF MONOTONE FINITE-DIFFERENCE APPROXIMATIONS OF QUASILINEAR DIFFERENTIAL-EQUATION OF 1ST KIND
VOLOSHIN, SA
DOKLADY AKADEMII NAUK SSSR, 1978, 242 (01): : 14 - 16
[6] ON CONVERGENCE OF MONOTONE FINITE-DIFFERENCE SCHEMES WITH VARIABLE SPATIAL DIFFERENCING
SANDERS, R
MATHEMATICS OF COMPUTATION, 1983, 40 (161) : 91 - 106
[7] HIGHER-ORDER ACCURACY FINITE-DIFFERENCE ALGORITHMS FOR QUASILINEAR, CONSERVATION LAW HYPERBOLIC SYSTEMS
ABARBANEL, S
GOTTLIEB, D
MATHEMATICS OF COMPUTATION, 1973, 27 (123) : 505 - 523
[8] Finite-difference approximations and cosymmetry conservation in filtration convection problem
Karasözen, B.
Tsybulin, V.G.
Physics Letters, Section A: General, Atomic and Solid State Physics, 1999, 262 (4-5): : 321 - 329
[9] Finite-difference approximations and cosymmetry conservation in filtration convection problem
Karasözen, B
Tsybulin, VG
PHYSICS LETTERS A, 1999, 262 (4-5) : 321 - 329
[10] FINITE-DIFFERENCE APPROXIMATIONS OF MULTIPLIERS
RAMAZANOV, MD
SIBERIAN MATHEMATICAL JOURNAL, 1979, 20 (02) : 316 - 318

← 1 2 3 4 5 →