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Nonoscillatory interpolation methods applied to Vlasov-based models. (English) Zbl 1151.35397

The authors propose a general family of methods based on essentially nonoscillatory interpolations for solving transport phases of Vlasov-like systems. The dimension splitting is used to reduce transport phases to 1D coupled with the interpolation. A number of theorems and lemmas are developed for theoretical foundation. Finally experiments are performed for validation.

MSC:

35L60 First-order nonlinear hyperbolic equations
35L45 Initial value problems for first-order hyperbolic systems
35A35 Theoretical approximation in context of PDEs

Software:

Vador; WENO
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