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11/05/2020
Superconvergent Non-Polynomial Approximations
In this paper, we introduce a superconvergent approximation method using...
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06/08/2020
Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow
Reductions of the self-consistent mean field theory model of amphiphilic...
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02/01/2020
A Kernel-Based Explicit Unconditionally Stable Scheme for Hamilton-Jacobi Equations on Nonuniform Meshes
In <cit.>, the authors developed a class of high-order numerical schemes...
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01/13/2020
A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations
In this paper, a class of high order numerical schemes is proposed to so...
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08/02/2019
A Kernel Based High Order "Explicit" Unconditionally Stable Constrained Transport Method for Ideal Magnetohydrodynamics
The ideal Magnetohydrodynamics (MHD) equations are challenging because o...
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07/08/2019