Numerical Integration of Differential Equations and Large Linear Systems: Proceedings of two Workshops Held at the University of Bielefeld Spring 1980

Don Secrest (auth.), Juergen Hinze (eds.)9780387119700, 0-387-11970-1

Table of contents :
An overview of the techniques in use for solving the coupled equations of scattering theory….Pages 1-21
Weyl’s theory for second order differential equations and its application to some problems in quantum chemistry….Pages 22-39
The discretization of continuous infinite sets of coupled ordinary linear differential equations: Application to the collision-induced dissociation of a diatomic molecule by an atom….Pages 40-52
Extraction of continuum properties from L 2 basis set matrix representations of the schrödinger equation: the sturm sequence polynomials and gauss quadrature….Pages 53-70
Approximate solution of schrödinger’s equation for atoms….Pages 71-81
Numerical integration of linear inhomogeneous ordinary differential equations appearing in the nonadiabatic theory of small molecules….Pages 82-94
Computation of solenoidal (divergence-free) vector fields….Pages 95-113
Efficient solution of a nonlinear heat conduction problem by use of fast elliptic reduction and multigrid methods….Pages 114-148
Are the numerical methods and software satisfactory for chemical kinetics?….Pages 149-164
Optimization of nonlinear kinetic equation computation….Pages 165-189
Automatic detection and treatment of oscillatory and/or stiff ordinary differential equations….Pages 190-206
Characterization of non-linearly stable implicit Runge-Kutta methods….Pages 207-219
Compact deferred correction formulas….Pages 220-233
Solving odes in quasi steady state….Pages 234-245
A singular perturbations approach to reduced-order modeling and decoupling for large scale linear systems….Pages 246-255
Global codes for BVODEs and their comparison….Pages 256-268
Global error estimation in ordinary initial value problems….Pages 269-279
Lower bounds for the accuracy of linear multistep methods….Pages 280-291
Asymptotic error expansions and discrete newton methods for elliptic boundary value problems….Pages 292-300
The use of sparse matrix techniques in ode — Codes….Pages 301-309
On conjugate gradient methods for large sparse systems of linear equations….Pages 310-322
A preconditioned tchebycheff iterative solution method for certain large sparse linear systems with a non-symmetric matrix….Pages 323-333
On modified incomplete factorization methods….Pages 334-351
Solving large sparse linear systems arising in queuing problems….Pages 352-360
Large eigenvalue problems in quantum chemistry….Pages 361-369
Variational pseudo-gradient method for determination of m first eigenstates of a large real symmetric matrix….Pages 370-383
Simultaneous rayleigh-quotient iteration methods for large sparse generalized eigenvalue problems….Pages 384-398
Large sparse unsymmetric eigenvalue problems….Pages 399-412