Numerical solutions with a priori error bounds for coupled self-adjoint time dependent partial differential systems
DOI10.1016/S0895-7177(99)00014-XzbMath0992.65110OpenAlexW2072313805MaRDI QIDQ1596883
Publication date: 5 May 2002
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0895-7177(99)00014-x
Series solutions to PDEs (35C10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for second-order hyperbolic equations (35L15)
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Cites Work
- Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
- Explicit solutions for second order operator differential equations with two boundary value conditions
- Mixed problems for the time-dependent telegraph equation: Continuous numerical solutions with a priori error bounds
- Exact and approximate solutions with a priori error bounds for systems of time-dependent wave equations
- Continuous numerical solutions and error bounds for time dependent systems of partial differential equations: Mixed problems
- Applications of analysis on nilpotent groups to partial differential equations
- Non-autonomous Riccati-type matrix differential equations: existence interval, construction of continuous numerical solutions and error bounds
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