Titlebook: Numerical Boundary Value ODEs; Proceedings of an In Uri M. Ascher,Robert D. Russell Conference proceedings 1985 Birkh?user Boston, Inc. 198

FLUSH

種子

indoctrinate

A Runge-Kutta-Nystrom Method for Delay Differential EquationsLet consider the following boundary value problem for second order delay differential systems: . y: IR → IR., f: [ t.,b ]×IR. → IR and τ(t), σ(t)>0.

補(bǔ)助

Conspiracy

話

Two Families of Symmetric Difference Schemes for Singular Perturbation Problemses, which are equivalent to certain collocation schemes based on Gauss and Lobatto points, are used. The performance of these two families of schemes is compared. while Lobatto schemes are more accurate for some classes of problems, Gauss schemes are more stable in general.

故意

Calculating the Loss of Stability by Transient Methods, with Application to Parabolic Partial Differtains ODE systems, thereby enabling the usage of ODE methods. Some novel results are presented dealing with transient methods, i.e. methods that handle the steady state as a special periodic solution with amplidude zero. The results include the calculation of stability of periodic orbits as well as the computation of points of loss of stability.

Incisor

木質(zhì)

Fierce

On Non-Invertible Boundary Value Problemste the sensitivity of the problem with respect to perturbations of a relevant subproblem. We also discuss a numerical method that computes such sub-condition number to demonstrate its applicability. Finally we give a number of numerical examples to illustrate both the theory and the computational method.