Convergence of Finite Difference Schemes Applied to the Cauchy Problems of Quasi-linear Partial Differential Equations of the Normal Form-Reference-Cited by-同舟云学术

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Convergence of Finite Difference Schemes Applied to the Cauchy Problems of Quasi-linear Partial Differential Equations of the Normal Form

Published:2017 Issue: Volume: Page:113-124
ISSN:2194-1009
Container-title:Advances in Difference Equations and Discrete Dynamical Systems
language:
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Author:

Higashimori Nobuyuki,Fujiwara Hiroshi,Iso Yuusuke

Publisher

Springer Singapore

Link

http://link.springer.com/content/pdf/10.1007/978-981-10-6409-8_6

Reference13 articles.

1. Ahlfors, L.V.: Complex Analysis, 3rd edn. McGraw-Hill, New York (1979)

2. Dahlquist, G.: Convergence and stability for a hyperbolic difference equation with analytic initial-values. Math. Scand. 2, 91–102 (1954)

3. Fujiwara, H.: http://www-an.acs.i.kyoto-u.ac.jp/~fujiwara/exflib

4. Hayakawa, K.: Convergence of finite difference scheme and analytic data. Publ. Res. Inst. Math. Sci. 24, 759–764 (1988)

5. Higashimori, N., Fujiwara, H.: Semi-discrete finite difference schemes for the nonlinear Cauchy problems of the normal form. (submitted to Proc. Japan Acad. Ser. A)

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1. On a class of functional difference equations: explicit solutions, asymptotic behavior and applications;Aequationes mathematicae;2023-12-21

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