A discrete eigenfunctions method for computing mixed hyperbolic problems based on an implicit difference scheme |
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| Authors: | R. Aloy,L. Jó dar |
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| Affiliation: | Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Camino de Vera s/n, 46022 Valencia, España, Spain |
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| Abstract: | 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. |
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| Keywords: | Hyperbolic problems Implicit difference scheme Discrete eigenfunctions method Discrete Sturm-Liouville problems Unconditional stability |
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