Publication: An integration-free algorithm for the solution of regular boundary value problems: space pruning approach
Loading...
Date
Authors
Advisor
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier BV
Type
Abstract
The authors construct an algebraic method to determine the discrete spectrum of a linear differential operator appearing in regular boundary value problems. The method is based on the pruning of a linear vector space towards the domain of the operator under consideration. Its convergence can be accelerated either by choosing an appropriate basis set or by removing fluctuations. The efficiency of the method is demonstrated on a simple test problem.
Description
Subject
discrete spectrum, space pruning approach, test problem, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, algebraic method, linear differential operator, efficiency, convergence acceleration, Numerical solution of eigenvalue problems involving ordinary differential equations, integration-free algorithm