Numerical method of bicharacteristics for hyperbolic partial functional differential equations

DOI10.1007/S10092-009-0156-9zbMath1172.65056OpenAlexW2059139242MaRDI QIDQ835744

Wojciech Czernous

Publication date: 31 August 2009

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-009-0156-9

zbMATH Keywords

stabilityconvergencePerron conditionbicharacteristics methodfirst-order integral differential equationfirst-order nonlinear differential equations with deviated variables

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Partial functional-differential equations (35R10) First-order nonlinear hyperbolic equations (35L60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

Related Items (1)

On the numerical approximation of viscosity solutions for the differential-functional Cauchy problem

Cites Work

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• On the mixed problem for quasilinear partial differential-functional equations of the first order
• Difference methods for quasilinear hyperbolic differential functional systems on the Haar pyramid
• Numerical approximation of hyperbolic systems of conservation laws
• Numerical methods for systems of nonlinear parabolic equations with time delays
• Numerical method of characteristics for semilinear partial functional differential systems
• Finite-difference approximation of first-order partial differential-functional equations

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