Found 55 Documents (Results 1–55)
Efficient stability-preserving numerical methods for nonlinear coercive problems in vector space. (English) Zbl 1529.65044
On leapfrog-Chebyshev schemes. (English) Zbl 1454.65046
Stability and boundedness in the numerical solution of initial value problems. (English) Zbl 1368.65122
A step-size selection strategy for explicit Runge-Kutta methods based on Lyapunov exponent theory. (English) Zbl 1329.65154
An efficient algorithm based on splitting for the time integration of the Schrödinger equation. (English) Zbl 1349.65393
Estimation of longest stability interval for a kind of explicit linear multistep methods. (English) Zbl 1204.65093
Computation of optimal monotonicity preserving general linear methods. (English) Zbl 1198.65117
MSC:
65L06
IMEX extensions of linear multistep methods with general monotonicity and boundedness properties. (English) Zbl 1123.65068
Essentially optimal explicit Runge-Kutta methods with application to hyperbolic-parabolic equations. (English) Zbl 1113.65074
Dahlquist’s classical papers on stability theory. (English) Zbl 1112.65074
Reviewer: J. B. Butler jun. (Portland)
On monotonicity and boundedness properties of linear multistep methods. (English) Zbl 1092.65059
Reviewer: Rémi Vaillancourt (Ottawa)
High-order linear multistep methods with general monotonicity and boundedness properties. (English) Zbl 1074.65085
Reviewer: Guido Vanden Berghe (Gent)
Coefficients for studying one-step rational schemes for IVPs in ODEs. I. (English) Zbl 0989.65071
Reviewer: Rudolf Scherer (Karlsruhe)
Order stars and stiff integrators. (English) Zbl 0988.65059
Reviewer: J.B.Butler jun.(Portland)
New extrapolation methods for initial value problems in ordinary differential equations. (English) Zbl 0962.65059
Reviewer: Manuel Calvo (Zaragoza)
Efficient rational one-step numerical integrators for inital value problems in ordinary differential equations. (English) Zbl 0976.65069
Reviewer: Z.Jackiewicz (Tempe)
Runge-Kutta methods: Some historical notes. (English) Zbl 0867.65038
Reviewer: E.Hairer (Genève)
Explicit methods for mildly stiff oscillatory systems. (English) Zbl 0743.65067
Reviewer: S.Filippi (Gießen)
Some stability results for explicit Runge-Kutta methods. (English) Zbl 0718.65061
Reviewer: R.Scherer (Karlsruhe)
Increasing the real stability boundary of explicit methods. (English) Zbl 0711.65068
Reviewer: V.Makarov
Stability radius of polynomials occurring in the numerical solution of initial value problems. (English) Zbl 0711.65067
Reviewer: M.Bartušek
Order stars and rational approximants to exp(z). (English) Zbl 0674.65043
Reviewer: V.Mehrmann
Contractivity preserving explicit linear multistep methods. (English) Zbl 0649.65043
Reviewer: H.W.J.Lenferink
Stepsize restrictions for stability in the numerical solution of ordinary and partial differential equations. (English) Zbl 0633.65065
Reviewer: J.M.Sanz-Serna
Regions of stability, equivalence theorems and the Courant-Friedrichs- Lewy condition. (English) Zbl 0574.65106
Absolute monotonicity of polynomials occuring in the numerical solution of initial value problems. (English) Zbl 0561.65055
Order stars and the optimal accuracy of stable, explicit difference schemes. (English) Zbl 0601.65067
Reviewer: V.Drápalík
High order difference schemes with reduced dispersion for hyperbolic differential equations. (English) Zbl 0589.65068
Reviewer: F.v.Finckenstein
Nichtlineare Stabilität und Phasenuntersuchung adaptiver Nyström- Runge-Kutta-Methoden (Nonlinear stability and phase analysis for adaptive Nyström-Runge-Kutta methods). (German) Zbl 0569.65054
Variable stepsize variable formula methods based on predictor-corrector schemes. (English) Zbl 0548.65059
Application of predictor-corrector schemes with several correctors in solving air pollution problems. (English) Zbl 0568.65044
Reviewer: R.D.Grigorieff
Dahlquist’s first barrier for multistage multistep formulas. (English) Zbl 0562.65049
Reviewer: M.Reimer
Implementation of a variable stepsize variable formula method in the time-integration part of a code for treatment of long-range transport of air pollutants. (English) Zbl 0558.65068
Reviewer: I.Dvořák
Stability restrictions on time-stepsize for numerical integration of first-order partial differential equations. (English) Zbl 0534.65075
Reviewer: I.Bock
Constructive characterization of A-stable approximations to exp(z) and its connection with algebraically stable Runge-Kutta methods. (English) Zbl 0493.65035
Zero-stability properties of the three-ordinate variable stepsize variable formula methods. (English) Zbl 0475.65041
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