AN OPTIMAL RUNGE-KUTTA METHOD FOR STEADY-STATE SOLUTIONS OF HYPERBOLIC SYSTEMS

被引：9

作者：

CHIU, CC

KOPRIVA, DA

机构：

[1] FLORIDA STATE UNIV,SUPERCOMP COMPUTAT RES INST,TALLAHASSEE,FL 32306

[2] FLORIDA STATE UNIV,DEPT MATH,TALLAHASSEE,FL 32306

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 02期

关键词：

STEADY-STATE SOLUTIONS; HYPERBOLIC SYSTEMS; MULTISTAGE RUNGE-KUTTA; CHEBYSHEV SPECTRAL METHODS;

D O I：

10.1137/0729025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An optimal two-stage Runge-Kutta time integration scheme is derived to compute steady-state approximations to hyperbolic equations. The analysis is general in the sense that it requires only that the eigenvalues of the derivative matrix lie in the right half of the complex plane. Thus it is applicable to spatial discretizations which do not have uniformly spaced points. As examples, the method is applied to two hyperbolic problems which have been discretized in space by Chebyshev spectral collocation.

引用

页码：425 / 438

页数：14