Inverse multiquadratic functions as the basis for the rectangular collocation method to solve the vibrational Schrödinger equation

DOI10.3390/MATH6110253zbMath1414.65040OpenAlexW2893584301MaRDI QIDQ1634724

Aditya Kamath, Sergei Manzhos

Publication date: 18 December 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6110253

zbMATH Keywords

Schrödinger equationcollocationrectangular matrixinverse multiquadratic functionvibrational spectrum

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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Optimization of hyperparameters of Gaussian process regression with the help of a low-order high-dimensional model representation: application to a potential energy surface ⋮ Rectangular eigenvalue problems

Cites Work

• The Generalized Eigenvalue Problem for Nonsquare Pencils Using a Minimal Perturbation Approach
• On the distribution of points in a cube and the approximate evaluation of integrals

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