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… (More)
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2011
2011
Approximate methods of solution of Cauchy problem for systems of ordinary differential equations, including delay differential… (More)
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Review
2009
Review
2009
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… (More)
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2009
2009
A new class of two-step Runge-Kutta methods for the numerical solution of ordinary differential equations is proposed. These… (More)
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2008
2008
In this paper, we analyze a multirate time integration method for systems of ordinary differential equations that present… (More)
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Highly Cited
2007
Highly Cited
2007
In this article, we implement relatively new analytical techniques, the variational iteration method and the Adomian… (More)
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1999
1999
Interval methods for ordinary di erential equations (ODEs) provide guaranteed enclosures of the solutions and numerical proofs of… (More)
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Highly Cited
1995
Highly Cited
1995
Differential equations of the form ẋ = X = A+B are considered, where the vector fields A and B can be integrated exactly… (More)
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Highly Cited
1991
Highly Cited
1991
This paper is concerned with the problem of developing numerical integration algorithms for differential equations that, when… (More)
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1973
1973
This paper studies a general method for the numerical integration of ordinary differential equations. The method, defined in part… (More)
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Highly Cited
1968
Highly Cited
1968
A reliable efficient general purpose method for automatic digital computer integration of systems of ordinary differential… (More)
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