CONVERGENCE OF A 2ND-ORDER SCHEME FOR SEMILINEAR HYPERBOLIC-EQUATIONS IN 2 + 1 DIMENSIONS

被引：14

作者：

GLASSEY, R ^{[1
]}

SCHAEFFER, J ^{[1
]}

机构：

[1] CARNEGIE MELLON UNIV, DEPT MATH, PITTSBURGH, PA 15213 USA

来源：

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

关键词：

D O I：

10.2307/2008531

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A second-order energy-preserving scheme is studied for the solution of the semilinear Cauchy Problem u(tt) - u(xx) - U(yy) + u3 = 0 (t > 0; x, y epsilon R). Smooth data functions of compact support are prescribed at t = 0. On any time interval [0, T], second-order convergence (up to logarithmic corrections) to the exact solution is established in both the energy and uniform norms.

引用

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页码：87 / 106

页数：20

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