An efficient asymptotic-numerical method to solve nonlinear systems of one-dimensional balance laws

被引：0

作者：

Costarelli, Danilo ^{[1
]}

Spigler, Renato ^{[2
]}

机构：

[1] Univ Perugia, Dept Math & Comp Sci, 1 Via Vanvitelli, I-06123 Perugia, Italy

[2] Roma Tre Univ, Dept Math & Phys, 1 Largo S Leonardo Murialdo, I-00146 Rome, Italy

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 05期

关键词：

Systems of balance laws; Dissipative balance laws; Asymptotic-numerical methods; DISSIPATIVE HYPERBOLIC SYSTEMS; HIGH-ORDER SCHEMES; SMOOTH SOLUTIONS; EQUATIONS; BEHAVIOR; DECAY;

D O I：

10.1007/s40314-018-0677-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An asymptotic-numerical method to solve the initial-boundary value problems for systems of balance laws in one space dimension, on the half space is developed. Expansions in powers of t -1/ 2 are used, in view of the precise asymptotic behavior recently established on theoretical bases. This approach increases considerably the efficiency of a previous one, where just expansions in inverse powers of t were made. Numerical examples and comparisons with the Godunov, the asymptotic high order, and the asymptotic-numerical method earlier developed are presented. Expanding the solution in powers of t -1/ 2 instead of t -1, a saving of about one-half of the CPU time can be realized, still achieving the same accuracy.

引用

页码：6034 / 6052

页数：19