Symbolic-Numeric Algorithms for Solving BVPs for a System of ODEs of the Second Order: Multichannel Scattering and Eigenvalue Problems

DOI10.1007/978-3-319-45641-6_14zbMath1453.65187OpenAlexW2514046425MaRDI QIDQ2830001

O. Chuluunbaatar, S. I. Vinitskij, Lili Hai, V. L. Derbov, Alexander Gusev, Vladimir P. Gerdt

Publication date: 9 November 2016

Published in: Computer Algebra in Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-45641-6_14

zbMATH Keywords

finite element methodeigenvalue problemsystem of ODEsmultichannel scattering problem

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Uses Software

• KANTBP
• Maple

Cites Work

• KANTBP 3.0: new version of a program for computing energy levels, reflection and transmission matrices, and corresponding wave functions in the coupled-channel adiabatic approach
• Symbolic-Numerical Solution of Boundary-Value Problems with Self-adjoint Second-Order Differential Equation Using the Finite Element Method with Interpolation Hermite Polynomials
• Analytical Calculations in Maple to Implement the Method of Adiabatic Modes for Modelling Smoothly Irregular Integrated Optical Waveguide Structures
• Symbolic-Numeric Solution of Boundary-Value Problems for the Schrödinger Equation Using the Finite Element Method: Scattering Problem and Resonance States
• Symbolic-Numerical Algorithm for Generating Cluster Eigenfunctions: Tunneling of Clusters through Repulsive Barriers