Fourth‐order schemes for the wave equation, Maxwell equations, and linearized elastodynamic equations
作者:
Jukka Tuomela,
期刊:
Numerical Methods for Partial Differential Equations
(WILEY Available online 1994)
卷期:
Volume 10,
issue 1
页码: 33-63
ISSN:0749-159X
年代: 1994
DOI:10.1002/num.1690100104
出版商: John Wiley&Sons, Inc.
数据来源: WILEY
摘要:
AbstractWith simple finite‐difference operators we construct fourth‐order schemes in space and in time for the wave equation, Maxwell equations, and linearized elastodynamic equations using the modified equation approach. The schemes remain stable for arbitrary heterogeneous mediums because the relevant difference operators are always positive definite. We also present some dispersion curves to show the accuracy of the schemes. © 1994 John Wiley&Sons,
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