Results 41 to 50 of about 159 (69)

Numerical Integrators for Dispersion-Managed KdV Equation

Communications in Computational Physics, 2022
In this paper, we consider the numerics of the dispersion-managed Kortewegde Vries (DM-KdV) equation for describing wave propagations in inhomogeneous media.
Ying He null, Xiaofei Zhao
semanticscholar   +1 more source

Efficient and Accurate Legendre Spectral Element Methods for One-Dimensional Higher Order Problems

, 2021
Efficient and accurate Legendre spectral element methods for solving onedimensional higher order differential equations with high oscillatory or steep gradient solutions are proposed.
Yang Zhang
semanticscholar   +1 more source

Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines

, 2017
In this paper, we present some efficient numerical schemes to solve a twophase hydrodynamics coupled phase field model with moving contact line boundary conditions.
Lina Ma, Rui Chen, Xiaofeng Yang, Hui Zhang   +3 more
semanticscholar   +1 more source

A Novel Spectral Method for Burgers Equation on The Real Line

East Asian Journal on Applied Mathematics, 2020
A spectral method for the Burgers equation on the whole real line based on generalised Hermite functions is proposed. The generalised stability and convergence of the method are proved.
Yu-jian Jiao
semanticscholar   +1 more source

Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation

, 2016
It is known that large time-stepping method are useful for simulating phase field models. In this work, an adaptive time-stepping strategy is proposed based on numerical energy stability and equi-distribution principle. The main idea is to use the energy
F. Luo, Tao Tang, Hehu Xie
semanticscholar   +1 more source

Precorrected-FFT Accelerated Singular Boundary Method for Large-Scale Three-Dimensional Potential Problems

, 2017
This study makes the first attempt to accelerate the singular boundary method (SBM) by the precorrected-FFT (PFFT) for large-scale three-dimensional potential problems. The SBM with the GMRES solver requires O(N2) computational complexity, where N is the
Weiwei Li, Wen Chen, Zhuojia Fu
semanticscholar   +1 more source

Spectral Collocation Methods for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

Advances in Applied Mathematics and Mechanics, 2020
In this paper, a Jacobi spectral collocation approximation is proposed for the solution of second-order Volterra integro-differential equations with weakly singular kernels.
Xiulian Shi
semanticscholar   +1 more source

Spectral-Collocation Method for Volterra Delay Integro-Differential Equations with Weakly Singular Kernels

, 2016
A spectral Jacobi-collocation approximation is proposed for Volterra delay integro-differential equations with weakly singular kernels. In this paper, we consider the special case that the underlying solutions of equations are sufficiently smooth.
Xiulian Shi, Yanping Chen
semanticscholar   +1 more source

Spectral Method Approximation of Flow Optimal Control Problems withH1-Norm State Constraint

, 2017
In this paper, we consider an optimal control problem governed by Stokes equations with H-norm state constraint. The control problem is approximated by spectral method, which provides very accurate approximation with a relatively small number of unknowns.
Yanping Chen, Fenglin Huang
semanticscholar   +1 more source

An Energy-Preserving Wavelet Collocation Method for General Multi-Symplectic Formulations of Hamiltonian PDEs

, 2016
In this paper, we develop a novel energy-preserving wavelet collocation method for solving general multi-symplectic formulations of Hamiltonian PDEs. Based on the autocorrelation functions of Daubechies compactly supported scaling functions, the wavelet ...
Yuezheng Gong, Yushun Wang
semanticscholar   +1 more source