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Meshless method for conservation laws. (English) Zbl 0982.65102
Summary: This paper is devoted to the presentation of new methods based on the introduction of a new class of approximation for the derivatives. They generalize classical weighted particle methods for conservation laws and converge under less restrictive conditions. We present two schemes and apply them to the Euler equations.

MSC:
65M25 Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35L65 Hyperbolic conservation laws
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