Rational methods with optimal order of convergence for partial differential equations

DOI10.1016/S0168-9274(99)00144-0zbMath0966.65066OpenAlexW2009055753MaRDI QIDQ1593836

Isaías Alonso-Mallo

Publication date: 1 April 2001

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(99)00144-0

zbMATH Keywords

convergencefinite difference methodnumerical experimentserror boundsmethod of linesRunge-Kutta methodinitial-boundary value problemsrational approximationsvalue problems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (4)

Spectral-fractional step Runge–Kutta discretizations for initial boundary value problems with time dependent boundary conditions ⋮ Exponential Quadrature Rules Without Order Reduction for Integrating Linear Initial Boundary Value Problems ⋮ Optimal orders of convergence for Runge-Kutta methods and linear, initial boundary value problems ⋮ Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems

Uses Software

• RODAS

Cites Work

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