Numerical methods for higher order Sturm-Liouville problems
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Publication:1841969
DOI10.1016/S0377-0427(00)00480-5zbMath0970.65087MaRDI QIDQ1841969
Leon Greenberg, Marco Marlettta
Publication date: 18 February 2001
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
numerical resultseigensolutionsselfadjoint problemsnon-selfadjoint problemsBirkhoff regularityhigher-order Sturm-Liouville eigenvalue problems
Sturm-Liouville theory (34B24) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)
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Uses Software
Cites Work
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- A reliable argument principle algorithm to find the number of zeros of an analytic function in a bounded domain
- Sturmian theory for ordinary differential equations
- Numerical solution of eigenvalue problems for Hamiltonian systems
- Two very accurate and efficient methods for computing eigenvalues and eigenfunctions in porous convection problems
- On locating clusters of zeros of analytic functions
- Discrete and continuous boundary problems
- Numerical Solution of Non--Self-Adjoint Sturm--Liouville Problems and Related Systems
- An Oscillation Method for Fourth-Order, Selfadjoint, Two-Point Boundary Value Problems with Nonlinear Eigenvalues
- Oscillation Theory and Numerical Solution of Sixth Order Sturm--Liouville Problems
- Algorithm 775
- On the solution of linear differential equations in Lie groups
- Unitary Integrators and Applications to Continuous Orthonormalization Techniques
- Pseudospectra of Linear Operators
- Oscillation theory and numerical solution of fourth-order Sturm—Liouville problems
- Magnus and Fer expansions for matrix differential equations: the convergence problem
- Interpolation zwischen den Klassen 𝔖p von Operatoren in Hilberträumen
- Accurate solution of the Orr–Sommerfeld stability equation
- On Characteristic Value Problems in High Order Differential Equations Which Arise in Studies on Hydrodynamic and Hydromagnetic Stability
- On the exponential solution of differential equations for a linear operator
