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06/25/2022
Render unto Numerics : Orthogonal Polynomial Neural Operator for PDEs with Non-periodic Boundary Conditions
By learning the map between function spaces using carefully designed dee...
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05/20/2022
Arbitrary high-order structure-preserving schemes for the generalized Rosenau-type equation
In this paper, we are concerned with arbitrarily high-order momentum-pre...
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02/19/2022
Function-valued RKHS-based Operator Learning for Differential Equations
Recently, a steam of works seek for solving a family of partial differen...
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05/09/2021
Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation
In this paper, a class of arbitrarily high-order linear momentum-preserv...
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02/28/2021
High-order linearly implicit structure-preserving exponential integrators for the nonlinear Schrödinger equation
A novel class of high-order linearly implicit energy-preserving exponent...
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10/30/2019