SOME GRID REFINEMENT SCHEMES FOR HYPERBOLIC-EQUATIONS WITH PIECEWISE CONSTANT-COEFFICIENTS

被引：0

作者：

LIN, T ^{[1
]}

SOCHACKI, J ^{[1
]}

EWING, R ^{[1
]}

GEORGE, J ^{[1
]}

机构：

[1] JAMES MADISON UNIV,DEPT MATH,HARRISONBURG,VA 22801

来源：

MATHEMATICS OF COMPUTATION | 1991年 / 56卷 / 193期

关键词：

D O I：

10.2307/2008530

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Discontinuities in the coefficients of hyperbolic equations occur both naturally and artificially and must be treated in numerical schemes. Schemes for handling these discontinuities are derived. An interesting stability result is derived and the schemes are shown to be exact under certain restrictions.

引用

页码：61 / 86

页数：26

共 50 条

[1] WEAK LACUNAE FOR ONE-DIMENSIONAL STRICTLY HYPERBOLIC-EQUATIONS WITH CONSTANT-COEFFICIENTS
ZAITSEV, VA
[J]. SIBERIAN MATHEMATICAL JOURNAL, 1984, 25 (04) : 551 - 559
[2] MIXED INITIAL-BOUNDARY VALUE-PROBLEMS FOR HYPERBOLIC-EQUATIONS WITH CONSTANT-COEFFICIENTS
BENNISH, J
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 153 (02) : 506 - 532
[3] RIEMANN METHOD FOR SOME HYPERBOLIC-EQUATIONS WITH CONSTANT OPERATOR COEFFICIENTS
UMAROV, KG
[J]. DOKLADY AKADEMII NAUK SSSR, 1981, 259 (03): : 549 - 553
[4] UNIQUENESS FOR DIFFUSIONS WITH PIECEWISE CONSTANT-COEFFICIENTS
BASS, RF
PARDOUX, E
[J]. PROBABILITY THEORY AND RELATED FIELDS, 1987, 76 (04) : 557 - 572
[5] ON SOME SOLUTIONS OF 2ND-ORDER HYPERBOLIC DIFFERENTIAL-EQUATIONS WITH CONSTANT-COEFFICIENTS
LOWNDES, JS
[J]. GLASGOW MATHEMATICAL JOURNAL, 1987, 29 : 69 - 72
[6] ON SOLUTION CONSTRUCTION FOR ORDINARY LINEAR-DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT-COEFFICIENTS
KUSHNIR, RM
[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1980, (09): : 54 - 57
[7] SOME PROPERTIES OF SOLUTIONS OF DIFFERENTIAL-EQUATIONS WITH CONSTANT-COEFFICIENTS
KOROBEINIK, YF
[J]. DIFFERENTIAL EQUATIONS, 1993, 29 (02) : 161 - 172
[8] High-Order Grid-Characteristic Method for Systems of Hyperbolic Equations with Piecewise Constant Coefficients
Khokhlov, N. I.
Petrov, I. B.
[J]. DIFFERENTIAL EQUATIONS, 2023, 59 (07) : 985 - 997
[9] High-Order Grid-Characteristic Method for Systems of Hyperbolic Equations with Piecewise Constant Coefficients
N. I. Khokhlov
I. B. Petrov
[J]. Differential Equations, 2023, 59 : 985 - 997
[10] LINEAR HYPERBOLIC-EQUATIONS WITH GEVREY COEFFICIENTS
KOMATSU, H
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1980, 59 (02): : 145 - 185

← 1 2 3 4 5 →