On the existence of generalized solutions and the convergence of difference methods for nonlinear initial-value problems

DOI10.1007/BF01154087zbMath0335.65043OpenAlexW2333943112MaRDI QIDQ1229564

Hans-Juergen Reinhardt

Publication date: 1975

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154362

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (2)

Differentiable difference approximations for nonlinear initial-value problems.I ⋮ Das Stabilitätsproblem bei der numerischen Behandlung von Differentialgleichungen

Cites Work

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• Nonlinear mappings in metric discrete limit spaces and their topological properties
• Der Nachweis der Existenz verallgemeinerter Lösungen quasilinearer Anfangswertaufgaben mittels Differenzenverfahren
• Konvergenz von Differenzenverfahren für lineare und nichtlineare Anfangswertaufgaben
• Differentiable difference approximations for nonlinear initial-value problems.I
• Existenz und numerische Erfaßbarkeit verallgemeinerter Lösungen halblinearer Anfangswertaufgaben

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