12 citations · 26 across the 9 of their papers we have counts for
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Comparison of adaptive multiresolution and adaptive mesh refinement applied to simulations of the compressible Euler equations
Ralf Deiterding, Margarete O. Domingues, Sonia M. Gomes +1
We present a detailed comparison between two adaptive numerical approaches to solve partial differential equations (PDEs), adaptive multiresolution (MR) and adaptive mesh refinemen…
An adaptive multiresolution method for ideal magnetohydrodynamics using divergence cleaning with parabolic-hyperbolic correction
Anna Karina Fontes Gomes, Margarete Oliveira Domingues, Kai Schneider +2
We present an adaptive multiresolution method for the numerical simulation of ideal magnetohydrodynamics in two space dimensions. The discretization uses a finite volume scheme bas…
Robust split-step Fourier methods for simulating the propagation of ultra-short pulses in single- and two-mode optical communication fibers
Ralf Deiterding, Stephen W. Poole
Extensions of the split-step Fourier method (SSFM) for Schrödinger-type pulse propagation equations for simulating femto-second pulses in single- and two-mode optical communication…