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09/15/2021
A hybrid phase field method for fluid-structure interactions in viscous fluids
We present a novel computational modeling framework to numerically inves...
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08/27/2021
A new class of high-order energy-preserving schemes for the Korteweg-de Vries equation based on the quadratic auxiliary variable (QAV) approach
In this paper, we develop a new class of high-order energy-preserving sc...
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06/08/2020
Supplementary Variable Method for Developing Structure-Preserving Numerical Approximations to Thermodynamically Consistent Partial Differential Equations
We present a new temporal discretization paradigm for developing energy-...
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04/23/2020
Two novel classes of energy-preserving numerical approximations for the sine-Gordon equation with Neumann boundary conditions
We develop two novel classes of energy-preserving algorithms for the sin...
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03/20/2020
