2 METHODS OF GALERKIN TYPE ACHIEVING OPTIMUM L2 RATES OF CONVERGENCE FOR FIRST-ORDER HYPERBOLICS

被引：40

作者：

DENDY, JE ^{[1
]}

机构：

[1] UNIV DENVER,DEPT MATH,DENVER,CO

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1974年 / 11卷 / 03期

关键词：

D O I：

10.1137/0711052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：637 / 653

页数：17

共 10 条

[1] RAYLEIGH-RITZ-GALERKIN METHODS FOR DIRICHLETS PROBLEM USING SUBSPACES WITHOUT BOUNDARY CONDITIONS [J].

BRAMBLE, JH ;

SCHATZ, AH .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1970, 23 (04) :653-&

[2]

BRAMBLE JH, 1972, MATH COMP, V26, P118

[3]

DENDY JE, 1972, MSR7224 U DENV REP

[4] GALERKIN METHODS FOR PARABOLIC EQUATIONS [J].

DOUGLAS, J ;

DUPONT, T .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1970, 7 (04) :575-&

[5] L2-ESTIMATES FOR GALERKIN METHODS FOR SECOND-ORDER HYPERBOLIC EQUATIONS [J].

DUPONT, T .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1973, 10 (05) :880-889

[6]

DUPONT T, 1973, SIAM J NUM ANAL, V10, P898

[7]

Lions J.L., 1968, PROBLEMES LIMITES NO

[8] RITZ APPROXIMATIONS AND SPLINE INTERPOLATION FOR STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS [J].

NITSCHE, J .

NUMERISCHE MATHEMATIK, 1969, 13 (03) :260-&

[9] L2 ERROR BOUNDS FOR RAYLEIGH-RITZ-GALERKIN METHOD [J].

SCHULTZ, MH .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1971, 8 (04) :737-&

[10] GENERALIZED FINITE-DIFFERENCE SCHEMES [J].

SWARTZ, B ;

WENDROFF, B .

MATHEMATICS OF COMPUTATION, 1969, 23 (105) :37-&

← 1 →