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08/11/2022
Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns
We report the computational discovery of complex, topologically charged,...
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06/28/2020
Monolithic Multigrid for Magnetohydrodynamics
The magnetohydrodynamics (MHD) equations model a wide range of plasma ph...
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05/06/2020
An augmented Lagrangian preconditioner for implicitly-constituted non-Newtonian incompressible flow
We propose an augmented Lagrangian preconditioner for a three-field stre...
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04/22/2020
Deflation-based Identification of Nonlinear Excitations of the 3D Gross–Pitaevskii equation
We present previously unknown solutions to the 3D Gross-Pitaevskii equat...
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11/29/2019
Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation
Recently, a novel bifurcation technique known as the deflated continuati...
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11/27/2019
Multilevel quasi Monte Carlo methods for elliptic PDEs with random field coefficients via fast white noise sampling
When solving partial differential equations with random fields as coeffi...
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11/26/2019