Linear multistep method

Known as: Adams-Bashforth method, Adams-Moulton methods, Zero-stability 
Linear multistep methods are used for the numerical solution of ordinary differential equations. Conceptually, a numerical method starts from an… (More)
Wikipedia

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
We present a derivation and theoretical investigation of the Adams-Bashforth and Adams-Moulton family of linear multistep methods… (More)
  • figure 1
  • figure 2
Is this relevant?
2014
2014
Long-time integration of Hamiltonian systems is an important issue in many applications – for example the planetary motion in… (More)
  • figure 1
  • table 1
  • figure 2
  • figure 3
  • figure 4
Is this relevant?
2013
2013
We present a technique for improving the accuracy of a given multistep method. We first propose a new formulation of the θ-method… (More)
Is this relevant?
2008
2008
For the numerical treatment of Hamiltonian differential equations, symplectic integrators are the most suitable choice, and… (More)
Is this relevant?
2008
2008
This paper is concerned with the numerical solution of delay integro-differential equations. The adaptation of linear multistep… (More)
  • figure 1
Is this relevant?
2006
2006
BS methods are a special class of Linear Multistep Methods defined using B– spline functions. These methods are always convergent… (More)
  • table 1
  • figure 1
  • table 3
  • table 4
  • table 5
Is this relevant?
2005
2005
We consider linear multistep methods that possess general monotonicity and boundedness properties. Strict monotonicity, in terms… (More)
  • table 1
  • figure 1
  • figure 2
  • table 6
  • figure 3
Is this relevant?
2002
2002
In this paper we provide an analysis of monotonicity properties for linear multistep methods. These monotonicity properties… (More)
  • figure 3.1
  • figure 5.1
  • figure 5.2
  • table 5.1
  • figure 5.3
Is this relevant?
Highly Cited
1996
Highly Cited
1996
In many applications, large systems of ordinary di erential equations (ODEs) have to be solved numerically that have both sti and… (More)
  • figure 1
  • figure 2
Is this relevant?
Highly Cited
1994
Highly Cited
1994
Convergence estimates in terms of the data are shown for multistep methods applied to non-homogeneous linear initial-boundary… (More)
Is this relevant?