POTHEA: a program for computing eigenvalues and eigenfunctions and their first derivatives with respect to the parameter of the parametric self-adjoined 2D elliptic partial differential equation

DOI10.1016/j.cpc.2014.04.014zbMath1360.35053OpenAlexW2104828210WikidataQ115358356 ScholiaQ115358356MaRDI QIDQ525854

A. G. Abrashkevich, O. Chuluunbaatar, Alexander Gusev, S. I. Vinitskij

Publication date: 5 May 2017

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2014.04.014

zbMATH Keywords

finite element methodordinary differential equationsKantorovich methodeigenvalue and multichannel scattering problemshigh-order accuracy approximationsmultichannel adiabatic approximation

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (1)

Model of Diatomic Homonuclear Molecule Scattering by Atom or Barriers

Uses Software

• ASYMPT
• KANTBP
• ODPEVP
• POTHMF
• KANTBP 2.0
• POTHEA

Cites Work

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• ODPEVP: A program for computing eigenvalues and eigenfunctions and their first derivatives with respect to the parameter of the parametric self-adjoined Sturm-Liouville problem
• KANTBP: A program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach
• POTHMF: A program for computing potential curves and matrix elements of the coupled adiabatic radial equations for a hydrogen-like atom in a homogeneous magnetic field
• KANTBP 2.0: new version of a program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach
• A new method for solving an eigenvalue problem for a system of three Coulomb particles within the hyperspherical adiabatic reprentation.
• ASYMPT: A program for calculating asymptotics of hyperspherical potential curves and adiabatic potentials

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