Difference schemes based on splines in compression for the solution of conservation laws
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Publication:1170873
DOI10.1016/0045-7825(83)90062-2zbMath0497.65051OpenAlexW2073556955MaRDI QIDQ1170873
Publication date: 1983
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0045-7825(83)90062-2
Hyperbolic conservation laws (35L65) 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 (6)
High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term ⋮ A new variable mesh method based on non-polynomial spline in compression approximations for 1D quasilinear hyperbolic equations ⋮ A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations ⋮ A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh ⋮ A new two-level implicit scheme of order two in time and four in space based on half-step spline in compression approximations for unsteady 1D quasi-linear biharmonic equations ⋮ New nonpolynomial spline in compression method of \(O(k^2+k^4)\) for the solution of 1D wave equation in polar coordinates
Cites Work
- Spline function approximation in discrete mechanics
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- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- Implicit dissipative schemes for solving systems of conservation laws
- A class of implicit, second-order accurate, dissipative schemes for solving systems of conservation laws
- Alternating direction methods for hyperbolic systems
- A stable implicit difference method for hyperbolic systems in two space variables
- Third order difference methods for hyperbolic equations
- On two step Lax-Wendroff methods in several dimensions
- Accurate partial difference methods. I: Linear Cauchy problems
- Survey of the stability of linear finite difference equations
- A Multistep Formulation of the Optimized Lax-Wendroff Method for Nonlinear Hyperbolic Systems in Two Space Variables
- On the Construction and Comparison of Difference Schemes
- Difference schemes for hyperbolic equations with high order of accuracy
- Stability of Richtmyer Type Difference Schemes in any Finite Number of Space Variables and Their Comparison with Multistep Strang Schemes
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