Numerical Integration of Differential Equations and Large Linear Systems. Proceedings of Two Workshops Held at the University of Bielefeld, Spring 1980. (= Lecture Notes in Mathematics, Volume 968). Hinze, Jürgen (Editor).

Hinze, Jürgen (Editor).

ISBN 10: 3540119701 / ISBN 13: 9783540119708

Published by Springer, Berlin Heidelberg New York, 1982

About this Item

Numerical Integration of Differential Equations and Large Linear Systems. Proceedings of Two Workshops Held at the University of Bielefeld, Spring 1980. (= Lecture Notes in Mathematics, Volume 968). In deutscher Sprache. pages.

Seller Inventory # BN133073

Bibliographic Details

• Title: Numerical Integration of Differential Equations and Large Linear Systems. Proceedings of Two Workshops Held at the University of Bielefeld, Spring 1980. (= Lecture Notes in Mathematics, Volume 968). Hinze, Jürgen (Editor).
• Publisher: Springer, Berlin Heidelberg New York
• Publication Date: 1982
• Language: English
• ISBN 10: 3540119701
• ISBN 13: 9783540119708
• Binding: Soft cover
• Edition: 1982.
• Condition: gut
• Weight: 2000 grams

About this title

Synopsis

An overview of the techniques in use for solving the coupled equations of scattering theory.- Weyl's theory for second order differential equations and its application to some problems in quantum chemistry.- The discretization of continuous infinite sets of coupled ordinary linear differential Application to the collision-induced dissociation of a diatomic molecule by an atom.- Extraction of continuum properties from L2 basis set matrix representations of the schrödinger the sturm sequence polynomials and gauss quadrature.- Approximate solution of schrödinger's equation for atoms.- Numerical integration of linear inhomogeneous ordinary differential equations appearing in the nonadiabatic theory of small molecules.- Computation of solenoidal (divergence-free) vector fields.- Efficient solution of a nonlinear heat conduction problem by use of fast elliptic reduction and multigrid methods.- Are the numerical methods and software satisfactory for chemical kinetics?.- Optimization of nonlinear kinetic equation computation.- Automatic detection and treatment of oscillatory and/or stiff ordinary differential equations.- Characterization of non-linearly stable implicit Runge-Kutta methods.- Compact deferred correction formulas.- Solving odes in quasi steady state.- A singular perturbations approach to reduced-order modeling and decoupling for large scale linear systems.- Global codes for BVODEs and their comparison.- Global error estimation in ordinary initial value problems.- Lower bounds for the accuracy of linear multistep methods.- Asymptotic error expansions and discrete newton methods for elliptic boundary value problems.- The use of sparse matrix techniques in ode - Codes.- On conjugate gradient methods for large sparse systems of linear equations.- A preconditioned tchebycheff iterative solution method for certain large sparse linear systems with a non-symmetric matrix.- On modified incomplete factorization methods.- Solving large sparse linear systems arising in queuing problems.- Large eigenvalue problems in quantum chemistry.- Variational pseudo-gradient method for determination of m first eigenstates of a large real symmetric matrix.- Simultaneous rayleigh-quotient iteration methods for large sparse generalized eigenvalue problems.- Large sparse unsymmetric eigenvalue problems.