Semi-discrete finite difference schemes for the nonlinear Cauchy problems of the normal form

DOI10.3792/PJAA.93.99zbMath1453.65117OpenAlexW2765090701MaRDI QIDQ1705659

Hiroshi Fujiwara, Nobuyuki Higashimori

Publication date: 16 March 2018

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.93.99

zbMATH Keywords

finite difference methodCauchy problemnonlinear partial differential equationsill-posed problems

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Numerical solutions to abstract evolution equations (65J08) Initial value problems for systems of nonlinear first-order PDEs (35F55)

Related Items (1)

Design and implementation of multiple-precision arithmetic environment in MATLAB for reliable numerical computations

Cites Work

• Unnamed Item
• Convergence of a semi-discrete finite difference scheme applied to the abstract Cauchy problem on a scale of Banach spaces
• A note on a theorem of Nirenberg
• An abstract form of the nonlinear Cauchy-Kowalewski theorem
• Survey of the stability of linear finite difference equations

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