May 17, 2018 · We propose and analyze some efficient spectral/spectral element methods to solve singular eigenvalue problems related to the Schrödinger ...

We propose and analyze some efficient spectral/spectral element methods to solve singular eigenvalue problems related to the Schrödinger operator with an ...

Efficient Spectral Methods for Some Singular Eigenvalue Problems · journal article · research article · Published by Springer Nature in Journal of Scientific ...

Suna Ma, Huiyuan Li , Zhimin Zhang: Efficient Spectral Methods for Some Singular Eigenvalue Problems. J. Sci. Comput. 77(1): 657-688 (2018).

Jun 21, 2016 · This knowledge helps us to design two novel spectral methods by modifying the polynomial basis to fit the singularities of the eigenfunctions.

EFFICIENT SPECTRAL METHODS ... Abstract. An efficient spectral-Galerkin method for eigenvalue problems ... Here the fractional Laplacian is defined in singular ...

Our study offers a new and effective way to handle eigenvalue problems of the Schr\"{o}dinger operator including the Laplacian operator on polygonal domains ...

This knowledge helps us to design two novel spectral methods by modifying the polynomial basis to fit the singularities of the eigenfunctions. At the second ...

Abstract Two efficient spectral-element methods, based on Legendre and Laguerre polynomials respectively, are derived for direct approximation of the ...

This book focuses on the constructive and practical aspects of spectral methods. It rigorously examines the most important qualities as well as drawbacks.