An efficient spectral‐Galerkin method based on a dimension reduction scheme for eigenvalue problems of Schrödinger equations
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5500
Abstract: In this paper, we propose an efficient spectral‐Galerkin method based on a dimension reduction scheme for eigenvalue problems of Schrödinger equations. Firstly, we carry out a truncation from a three‐dimensional unbounded domain to a bounded… read more here.
Keywords: eigenvalue; method; spectral galerkin; efficient spectral ... See more keywords
A POD reduced-order model based on spectral Galerkin method for solving the space-fractional Gray–Scott model with error estimate
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DOI: 10.1007/s00366-020-01195-5
Abstract: This paper deals with developing a fast and robust numerical formulation to simulate a system of fractional PDEs. At the first stage, the time variable is approximated by a finite difference method with first-order accuracy.… read more here.
Keywords: reduced order; order; method; model ... See more keywords
Jacobi Spectral Methods for Volterra-Urysohn Integral Equations of Second Kind with Weakly Singular Kernels
Sign Up to like & getrecommendations! Published in 2019 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2019.1636278
Abstract: Abstract In this article, we discuss Jacobi spectral Galerkin and iterated Jacobi spectral Galerkin methods for Volterra-Urysohn integral equations with weakly singular kernels and obtain the convergence results in both the infinity and weighted L2-norm.… read more here.
Keywords: iterated jacobi; spectral galerkin; jacobi spectral; convergence ... See more keywords