Numerical solution of eigenvalue problems for Hamiltonian systems
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Publication:1895906
DOI10.1007/BF02521106zbMath0833.65083MaRDI QIDQ1895906
Publication date: 14 March 1996
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Dynamical systems and ergodic theory (37-XX)
Related Items (10)
Isospectral sixth order Sturm-Liouville eigenvalue problems ⋮ New numerical method for the eigenvalue problem of the 2D Schrödinger equation ⋮ A numerical procedure to solve the multichannel Schrödinger eigenvalue problem ⋮ Discrete oscillation theorems for symplectic eigenvalue problems with general boundary conditions depending nonlinearly on spectral parameter ⋮ Regular approximation of linear Hamiltonian operators with two singular endpoints ⋮ aicm ⋮ Numerical methods for higher order Sturm-Liouville problems ⋮ Convergence of regular approximations to the spectra of singular fourth-order Sturm–Liouville problems ⋮ Counting and computing eigenvalues of left-definite Sturm--Liouville problems ⋮ Vibration of translating cables.
Uses Software
Cites Work
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- Runge-Kutta schemes for Hamiltonian systems
- Sturmian theory for ordinary differential equations
- Automatic solution of Sturm-Liouville problems using the Pruess method
- Automatic solution of regular and singular vector Sturm-Liouville problems
- Discrete and continuous boundary problems
- Error Control of Phase-Function Shooting Methods for Sturm-Liouville Problems
- Unitary Integrators and Applications to Continuous Orthonormalization Techniques
- Certification of algorithm 700 numerical tests of the SLEIGN software for Sturm-Liouville problems
- Estimating the Eigenvalues of Sturm–Liouville Problems by Approximating the Differential Equation
- On the exponential solution of differential equations for a linear operator
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