Stable difference schemes for parabolic systems - A numerical radius approach II

被引：4

作者：

Goldberg, M ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1998年 / 35卷 / 05期

关键词：

parabolic systems; finite difference schemes; stability; numerical radii;

D O I：

10.1137/S0036142997328251

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a numerical radius approach is taken in order to further discuss stability conditions for a well-known family of finite difference schemes for the initial value problem associated with the Petrowski well-posed, multispace-dimensional parabolic system [GRAPHICS] where A(pq), B-p, and C are constant matrices, A(pq) being Hermitian.

引用

页码：1995 / 2003

页数：9

共 9 条

[1] A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type [J].

Crank, J ;

Nicolson, P .

ADVANCES IN COMPUTATIONAL MATHEMATICS, 1996, 6 (3-4) :207-226

[2]

Friedman A., 1963, GEN FUNCTIONS PARTIA

[3] Stable difference schemes for parabolic systems - A numerical radius approach [J].

Goldberg, M .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1998, 35 (02) :478-493

[4] ON THE NUMERICAL RADIUS AND ITS APPLICATIONS [J].

GOLDBERG, M ;

TADMOR, E .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1982, 42 (FEB) :263-284

[5]

Kreiss H. O., 1962, BIT, V2, P153, DOI DOI 10.1007/BF01957330

[6] *UBER EINE METHODE ZUR LOSUNG DER WARMELEITUNGSGLEICHUNG [J].

LAASONEN, P .

ACTA MATHEMATICA, 1949, 81 (03) :309-317

[7]

PEARCY C, 1966, MICH MATH J, V13, P289

[8]

Richtmyer R. D., 1967, Difference Methods for Initial-Value Problems

[9]

THOMEE V, 1990, HDB NUMERICAL ANAL, V1, P7

← 1 →