Modified equation for adaptive monotone difference schemes and its convergent analysis
DOI10.1090/S0025-5718-08-02061-9zbMath1195.65113OpenAlexW2032137687MaRDI QIDQ3577007
Publication date: 3 August 2010
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02061-9
convergenceerror estimatesconservation lawsnumerical experimentsdifference schemesconvection equationadaptive monotone schemesmodified parabolic equation
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- A Moving Mesh Method for One-dimensional Hyperbolic Conservation Laws
- Viscosity methods for piecewise smooth solutions to scalar conservation laws
- On finite-difference approximations and entropy conditions for shocks
- Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation
- The Artificial Compression Method for Computation of Shocks and Contact Discontinuities: III. Self-Adjusting Hybrid Schemes
- Kruzkov’s estimates for scalar conservation laws revisited
- Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
- Optimal L1-Rate of Convergence for The Viscosity Method and Monotone Scheme to Piecewise Constant Solutions with Shocks
- Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
- DISCRETE COMPRESSIVE SOLUTIONS OF SCALAR CONSERVATION LAWS
- The Sharpness of Kuznetsov's O(√Δx)L 1 -Error Estimate for Monotone Difference Schemes
