Results 241 to 250 of about 14,327,559 (281)
Some of the next articles are maybe not open access.
Multirate linear multistep methods
BIT, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gear, C. W., Wells, D. R.
openaire +2 more sources
Instability in linear multistep methods
Applicable Analysis, 1988Classes of multistep methods with k steps, order k+1 and depending on a certain number of free parameters, one of them representing the size of the real interval of stability are constructed. A criterion to select automatically multistep methods of such classes, which are fitted with the eigenvalues of the jacobian matrix of a differential system is ...
Paula Oliveira, Fernanda Patricio
openaire +1 more source
Error Estimate for a Linear Multistep Method
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1991For the system \(x=Tx+b\) of linear equations in a Banach space with \(T=T_ 0+...+T_ n\), \(n\geq 1\), we consider the implicit stationary n- step method \(x_{k+n}=\sum^{n}_{i=0}T_ ix_{k+n-i}+b,\) \(k=0,1,2,...\). In case of \(\| T\|
openaire +2 more sources
Multistep Methods and General Linear Methods
1987This chapter is devoted to the study of multistep and general multivalue methods. After retracing their historical developement (Adams, Nystrom, Milne, BDF) we study in the subsequent sections the order, stability and convergence properties of these methods.
Ernst Hairer +2 more
openaire +1 more source
1973
The structure of general m-stage k-step methods in the sense of Def. 2.1.8 and 2.1.10 is so complex that we will deal in this chapter only with the special class of one-stage k-step methods whose forward-step procedures consist simply of a linear combination of values of η μ and f (η μ ) at k + 1 consecutive gridpoints t µ , μ= v −k(1)v.
openaire +1 more source
The structure of general m-stage k-step methods in the sense of Def. 2.1.8 and 2.1.10 is so complex that we will deal in this chapter only with the special class of one-stage k-step methods whose forward-step procedures consist simply of a linear combination of values of η μ and f (η μ ) at k + 1 consecutive gridpoints t µ , μ= v −k(1)v.
openaire +1 more source
Improved multistep method with non‐linear corrections
International Journal for Numerical Methods in Biomedical Engineering, 2008AbstractA new semi‐implicit class of multistep methods for stiff ordinary differential equations is presented. The general method is based on the application of estimation functions not only for the derivatives but also for the state variables. This permits the transformation of the original system in a purely algebraic system using the solutions of ...
Boroni, G., Lotito, P., Clausse, A.
openaire +2 more sources
Multiplier and contractivity methods for linear multistep methods
Applied Numerical Mathematics, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Odeh, F., Nevanlinna, O., Liniger, W.
openaire +2 more sources
DYNAMICS OF LINEAR MULTISTEP METHODS FOR DELAY DIFFERENTIAL EQUATIONS
International Journal of Bifurcation and Chaos, 2004In this paper we study the relationship between the asymptotic behavior of a numerical simulation by linear multistep method and that of the true solution itself for fixed step sizes. The numerical method is viewed as a dynamical system in which the step size acts as a parameter.
Hongjiong Tian, Qian Guo 0002
openaire +1 more source
Multiplier techniques for linear multistep methods
Numerical Functional Analysis and Optimization, 1981A theory is developed for the fixed-h stability of integration schemes based on A(α)-stable formulas when applied to nonlinear parabolic-like stiff equations. The theory is based on a general multiplier technique whose properties we fully develop.
Olavi Nevanlinna, F. Odeh
openaire +1 more source
On Stiffly Stable Implicit Linear Multistep Methods
SIAM Journal on Numerical Analysis, 1972Sufficient conditions for a consistent linear multistep method to be stiffly stable are given. These conditions involve properties of the stability mapping from the extended complex plane onto itself.
openaire +2 more sources