A High Order Compact Time/Space Finite Difference Scheme for the Wave Equation with Variable Speed of Sound

We consider fourth order accurate compact schemes, in both space and time, for the second order wave equation with a variable speed of sound. We demonstrate that usually this is much more efficient than lower order schemes despite being implicit and only conditionally stable. Fast time marching of t...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 76; no. 2; pp. 777 - 811
Main Authors:	Britt, Steven, Turkel, Eli, Tsynkov, Semyon
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.08.2018 Springer Nature B.V
Subjects:	Accuracy Acoustics Algorithms Approximation Boundary conditions Boundary value problems Computational Mathematics and Numerical Analysis Conjugate gradient method Convergence Efficiency Eigenvalues Finite difference method Helmholtz equations Iterative methods Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Methods Multigrid methods Theoretical Time dependence Time marching Upper bounds Wave equations Compact finite differences Wave equation Variable coefficients High order accuracy
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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