GUARANTEED BOUNDS FOR THE SOLUTION OF THE WAVE EQUATION
作者:
Roumen Anguelov,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1996)
卷期:
Volume 19,
issue 1-2
页码: 275-289
ISSN:1607-3606
年代: 1996
DOI:10.1080/16073606.1996.9631839
出版商: Taylor & Francis Group
关键词: 65M15;65M70
数据来源: Taylor
摘要:
Numerical solution of the wave equation in the form of close lower and upper bounds provides a secure a posteriori error estimate that can be used for efficient accuracy control. The method considered in this paper uses some monotone properties of the differential operator in the wave equation to construct bounds for the solution in the form of trigonometric polynomials ofx. Aspects of the numerical implementation, the accuracy of the computed bounds and some numerical examples are discussed.
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