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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

50 relations
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… 
2008
2008
Collocation-Based Two Step Runge-Kutta Methods for Ordinary Differential Equations
We introduce a general family of collocation based two---step Runge---Kutta methods for the numerical integration of Ordinary… 
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… 
Highly Cited
2002
Highly Cited
2002
Dynamic flammability limits of methane/air premixed flames with mixture composition fluctuations
1991
1991
A STUDY ON NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS
  • D. Yu
  • 1991
  • Corpus ID: 54208617
In this paper, we consider an exponentially dominant order .alpha. of a problem, and the matrix A is replaced by this number… 
1985
1985
Unified approach to numerical methods. III. Finite differences and ordinary differential equations
This is the third of a sequence of articles devoted to the presentation of a direct method of analysis recently developed by one… 
Highly Cited
1984
Highly Cited
1984
Numerical methods for differential equations and applications
Highly Cited
1979
Highly Cited
1979
Partitioned Transient Analysis Procedures for Coupled-Field Problems.
Abstract : A general partitioned transient analysis procedure is proposed, which is amenable to a unified stability analysis… 
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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