Solution of regular second- and fourth-order Sturm-Liouville problems by exact dynamic stiffness method analogy
type: Item
instance of: scholarly article
title: Solution of regular second- and fourth-order Sturm-Liouville problems by exact dynamic stiffness method analogy
zbMATH Open document ID: 1356.70027
author: Yong-Cai Geng
author: Sumit K. Garg
published in: Journal of Engineering Mathematics
publication date: 2017-02-28T00:00:00Z
Mathematics Subject Classification ID: 70J50
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 37N05
zbMATH DE Number: 6689753
zbMATH Keywords: dynamic stiffness
zbMATH Keywords: eigenproblems
zbMATH Keywords: Sturm-Liouville
zbMATH Keywords: Wittrick-Williams algorithm
describes a project that uses: COLSYS
describes a project that uses: NAG
describes a project that uses: SLEIGN2
describes a project that uses: SLEDGE
describes a project that uses: nag
MaRDI profile type: Publication
full work available at URL: s10665-013-9646-5
OpenAlex ID: W2017553576
cites work: Mathematical software for Sturm-Liouville problems
cites work: Algorithm 810: The SLEIGN2 Sturm-Liouville Code
cites work: Algorithm 775
cites work: Asymptotic correction of more Sturm-Liouville eigenvalue estimates.
cites work: Approximate computation of eigenvalues with Chebyshev collocation method
cites work: An improvement for Chebyshev collocation method in solving certain Sturm-Liouville problems
cites work: Approximate solution of the Sturm-Liouville problems with Legendre-Galerkin-Chebyshev collocation method
cites work: An efficient method for computing eigenelements of Sturm-Liouville fourth-order boundary value problems
cites work: Recursive second order convergence method for natural frequencies and modes when using dynamic stiffness matrices
cites work: Exact static and dynamic stiffness matrices for general variable cross section members
cites work: An exact element method
cites work: Beam length and dynamic stiffness
cites work: Q5689624
cites work: A GENERAL ALGORITHM FOR COMPUTING NATURAL FREQUENCIES OF ELASTIC STRUCTURES
cites work: Collocation Software for Boundary-Value ODEs
cites work: Exact dynamic stiffness method for non-uniform Timoshenko beam vibrations and Bernoulli-Euler column buckling
cites work: An Oscillation Method for Fourth-Order, Selfadjoint, Two-Point Boundary Value Problems with Nonlinear Eigenvalues
cites work: Oscillation theory and numerical solution of fourth-order Sturm—Liouville problems
cites work: Q4277837
cites work: Dependence of Eigenvalues on the Problem
cites work: Error Control of Phase-Function Shooting Methods for Sturm-Liouville Problems
DOI: 10.1007/S10665-013-9646-5
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description: scientific article; zbMATH DE number 6689753