Browsing by Subject "maximum principle"
Now showing items 1-2 of 2
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(2016-07-27)We develop numerical methods to solve the linear scalar conservation law fulfilling the maximum principle. To do this we use continuous and discontinuous Galerkin finite elements and achieve the preservation on the maximum ...
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Stability and Convergence of High Order Numerical Methods for Nonlinear Hyperbolic Conservation Laws (2012-10-19)Recently there have been numerous advances in the development of numerical algorithms to solve conservation laws. Even though the analytical theory (existence-uniqueness) is complete in the case of scalar conservation laws, ...