Author

Murtazo Nazarov

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Preprint Sep 2026

A second-order structure- and positivity-preserving convex limiting method for the Vlasov equations

In this paper, we introduce a novel second-order, positivity-preserving finite element method for the Vlasov equations using a convex limiting algorithm. The method employs strong-stability-preserving (SSP) Runge-Kutta time integration and a tensor-product construction of the phase-space mesh for efficient high-dimensi...

K. Kormann, Murtazo Nazarov, Wen Junjie · 1 citation

Preprint Sep 2026

High-Order Structure-Preserving SBP Finite Difference Methods for the Vlasov-Maxwell System on Matrix-Free GPUs

A high-order, stable summation-by-parts (SBP) finite difference method for solving the Vlasov-Maxwell system in a 2D2V phase space and proves that the fully discrete scheme exactly conserves mass and preserves momentum up to truncation error.

Robin Dymér, K. Mattsson, Murtazo Nazarov · 0 citations