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Numerical methods for ordinary differential equations

Known as: Time integration, Time marching, Time integration methods 
Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential… 
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Related topics

Related topics

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Adaptive stepsizeAlgorithmBackward Euler methodBackward differentiation formula

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2013
2013
Numerical Methods for Ordinary Differential Equations
Differential equations can describe nearly all systems undergoing change. They are widespread in physics, engineering, economics… 
Review
2010
Review
2010
Trees and numerical methods for ordinary differential equations
This paper presents a review of the role played by trees in the theory of Runge–Kutta methods. The use of trees is in contrast to… 
2010
2010
Continuous two-step Runge–Kutta methods for ordinary differential equations
New classes of continuous two-step Runge-Kutta methods for the numerical solution of ordinary differential equations are derived… 
2009
2009
Two-step almost collocation methods for ordinary differential equations
A new class of two-step Runge-Kutta methods for the numerical solution of ordinary differential equations is proposed. These… 
Highly Cited
2009
Highly Cited
2009
Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
In this paper, we consider a variable-order fractional advection-diffusion equation with a nonlinear source term on a finite… 
Review
2004
Review
2004
Numerical methods for Ordinary Differential equations: a survey of some standard methods
Restricted Item. Print thesis available in the University of Auckland Library or available through Inter-Library Loan. 
2002
2002
Stability of Numerical Methods for Ordinary Differential Equations
AbstractVariable stepsize stability results are found for three representative multivalue methods. For the second order BDF… 
Review
1991
Review
1991
A survey of parallel numerical methods for initial value problems for ordinary differential equations
The parallel solution of initial value problems for ordinary differential equations has become an active area of research. Recent… 
Highly Cited
1975
Highly Cited
1975
A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations
Two variable-order, varlable-step size methods for the numerical solution of the initial value problem for ordinary differential… 
1973
1973
The order of numerical methods for ordinary differential equations
For a general class of methods, which includes linear multistep and Runge- Kutta methods as special cases, a concept of order… 
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