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20132023
most citedFinite Difference Weighted Essentially Non-Oscillatory Schemes with Constrained Transport for Ideal Magnetohydrodynamics

71 citations · 265 across the 16 of their papers we have counts for

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Showing 2015Show all

2 papers · 1 filter

math.NA2015★ 44 cited

A high-order positivity-preserving single-stage single-step method for the ideal magnetohydrodynamic equations

Andrew J. Christlieb, Xiao Feng, David C. Seal +1

We propose a high-order finite difference weighted ENO (WENO) method for the ideal magnetohydrodynamics (MHD) equations. The proposed method is single-stage, single-step, maintains…

math.NA2015★ 48 cited

Sparse Grid Discontinuous Galerkin Methods for High-Dimensional Elliptic Equations

Zixuan Wang, Qi Tang, Wei Guo +1

This paper constitutes our initial effort in developing sparse grid discontinuous Galerkin (DG) methods for high-dimensional partial differential equations (PDEs). Over the past fe…