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A discrete eigenfunctions method for computing mixed hyperbolic problems based on an implicit difference scheme

delete2009-09-01
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PRE
AI
R
R. Aloy
M
M.‐C. Casabán *
L
L. Jódar
DOI:10.1016/j.amc.2009.04.082delete
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Abstract

Abstract

En 中文
In this paper numerical solutions of mixed hyperbolic problems are computed using a discrete eigenfunctions method combined with an implicit difference scheme. This new numerical technique preserves the qualitative properties of the analytic solution due to the Sturm-Liouville structure of the underlying discrete linear boundary-value problem and has computational stability advantages vs other methods. Illustrative examples are included. (C) 2009 Elsevier Inc. All rights reserved.
Keywords:
Hyperbolic problems
Implicit difference scheme
Discrete eigenfunctions method
Discrete Sturm-Liouville problems
Unconditional stability

Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

Organization

U
Universitat Politecnica de Valencia
Scholars:
1.5W
Papers: 1.4W
Citations: 18