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09/16/2022
Linearly implicit energy-preserving integrating factor methods for the 2D nonlinear Schrödinger equation with wave operator and convergence analysis
In this paper, we develop a novel class of linear energy-preserving inte...
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05/24/2022
Arbitrarily high-order energy-preserving schemes for the Zakharov-Rubenchik equation
In this paper, we present a high-order energy-preserving scheme for solv...
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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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02/26/2022
Arbitrary high-order structure-preserving methods for the quantum Zakharov system
In this paper, we present a new methodology to develop arbitrary high-or...
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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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07/15/2020
Mass- and energy-preserving exponential Runge-Kutta methods for the nonlinear Schrödinger equation
In this paper, a family of arbitrarily high-order structure-preserving e...
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04/19/2020
Arbitrarily high-order structure-preserving schemes for the Gross-Pitaevskii equation with angular momentum rotation in three dimensions
In this paper, we design a novel class of arbitrarily high-order structu...
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01/03/2020
Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations
A novel class of explicit high-order energy-preserving methods are propo...
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10/15/2019
Optimal error estimate of a conservative Fourier pseudo-spectral method for the space fractional nonlinear Schrödinger equation
In this paper, we consider the error analysis of a conservative Fourier ...
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08/27/2019
A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation
In this paper, we generalize the exponential energy-preserving integrato...
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06/29/2019
A linearly implicit structure-preserving scheme for the Camassa-Holm equation based on multiple scalar auxiliary variables approach
In this paper, we present a linearly implicit energy-preserving scheme f...
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06/18/2019