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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… Expand
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Highly Cited
2013
Highly Cited
2013
 
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Highly Cited
2012
Highly Cited
2012
Contents Preface to the first edition xiii Preface to the second edition xvii 1 Differential and Difference Equations 1 10… Expand
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Highly Cited
2010
Highly Cited
2010
Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical… Expand
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Highly Cited
2010
Highly Cited
2010
Abstract In this paper, we consider the numerical solution of a fractional partial differential equation with Riesz space… Expand
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Highly Cited
2005
Highly Cited
2005
Highly Cited
2005
A Two-Point Boundary Value Problem.- Elliptic Equations.- Finite Difference Methods for Elliptic Equations.- Finite Element… Expand
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Highly Cited
2004
Highly Cited
2004
Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and… Expand
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Highly Cited
1996
Highly Cited
1996
I. Ordinary Differential Equations: The analytical behaviour of solutions - numerical methods for second-order boundary value… Expand
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Highly Cited
1995
Highly Cited
1995
Differential equations of the form $\dot x = X = A + B$ are considered, where the vector fields A and B can be integrated exactly… Expand
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Highly Cited
1993
Highly Cited
1993
SummaryThis paper is concerned with the problem of developing numerical integration algorithms for differential equations that… Expand
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