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08/31/2023
Multistage DPG time-marching scheme for nonlinear problems
In this article, we employ the construction of the time-marching Discont...
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research
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08/31/2023
Robust Variational Physics-Informed Neural Networks
We introduce a Robust version of the Variational Physics-Informed Neural...
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11/07/2022
A Deep Double Ritz Method (D^2RM) for solving Partial Differential Equations using Neural Networks
Residual minimization is a widely used technique for solving Partial Dif...
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11/01/2022
Exploiting Kronecker structure in exponential integrators: fast approximation of the action of φ-functions of matrices via quadrature
In this article, we propose an algorithm for approximating the action of...
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03/08/2021
Isogeometric Residual Minimization Method (iGRM) with Direction Splitting for Non-Stationary Advection-Diffusion Problems
In this paper, we propose a novel computational implicit method, which w...
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01/01/2020