# Numerical methods for ordinary differential equations

## Papers overview

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2011

2011

- 2011

Approximate methods of solution of Cauchy problem for systems of ordinary differential equations, including delay differentialâ€¦Â (More)

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Review

2009

Review

2009

- Numerical Algorithms
- 2009

This paper presents a review of the role played by trees in the theory of Rungeâ€“Kutta methods. The use of trees is in contrast toâ€¦Â (More)

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2009

2009

- Numerical Algorithms
- 2009

A new class of two-step Runge-Kutta methods for the numerical solution of ordinary differential equations is proposed. Theseâ€¦Â (More)

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2008

2008

- 2008

In this paper, we analyze a multirate time integration method for systems of ordinary differential equations that presentâ€¦Â (More)

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Highly Cited

2007

Highly Cited

2007

- 2007

In this article, we implement relatively new analytical techniques, the variational iteration method and the Adomianâ€¦Â (More)

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1999

1999

- CP
- 1999

Interval methods for ordinary di erential equations (ODEs) provide guaranteed enclosures of the solutions and numerical proofs ofâ€¦Â (More)

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Highly Cited

1995

Highly Cited

1995

- SIAM J. Scientific Computing
- 1995

Differential equations of the form áº‹ = X = A+B are considered, where the vector fields A and B can be integrated exactlyâ€¦Â (More)

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Highly Cited

1991

Highly Cited

1991

- 1991

This paper is concerned with the problem of developing numerical integration algorithms for differential equations that, whenâ€¦Â (More)

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1973

1973

- Computing
- 1973

This paper studies a general method for the numerical integration of ordinary differential equations. The method, defined in partâ€¦Â (More)

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Highly Cited

1968

Highly Cited

1968

- IFIP Congress
- 1968

A reliable efficient general purpose method for automatic digital computer integration of systems of ordinary differentialâ€¦Â (More)

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