Explicit solutions to a convection-reaction equation and defects of numerical schemes

Author:

Ha Youngsoo,Kim Yong Jung

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference21 articles.

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4. High-resolution nonoscillatory central schemes with nonstaggered grids for hyperbolic conservation laws;Jiang;SIAM J. Numer. Anal.,1998

5. Efficient implementation of weighted ENO schemes;Jiang;J. Comput. Phys.,1996

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1. The fundamental solution of a conservation law without convexity;Quarterly of Applied Mathematics;2015-09-11

2. TransientL1error estimates for well-balanced schemes on non-resonant scalar balance laws;Journal of Differential Equations;2013-08

3. Lyapunov Functional for Linear Error Estimates;Computing Qualitatively Correct Approximations of Balance Laws;2013

4. Space-time least-squares finite element method for convection-reaction system with transformed variables;Computer Methods in Applied Mechanics and Engineering;2011-08

5. On the numerical solution of a driven thin film equation;Journal of Computational Physics;2008-07

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