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Highly Cited

2002

Highly Cited

2002

Projective Methods for Stiff Differential Equations: Problems with Gaps in Their Eigenvalue Spectrum

We show that there exist classes of explicit numerical integration methods that can handle very stiff problems if the eigenvalues… Expand

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Highly Cited

2000

Highly Cited

2000

Abstract. A transport equation that uses fractional-order dispersion derivatives hasfundamental solutions that are Le´vy’s a… Expand

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Highly Cited

2000

Highly Cited

2000

A governing equation of stable random walks is developed in one dimension. This Fokker-Planck equation is similar to, and… Expand

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Highly Cited

1999

Highly Cited

1999

The statistics of photographic images, when represented using multiscale (wavelet) bases, exhibit two striking types of non… Expand

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Highly Cited

1994

Highly Cited

1994

We study the limiting behavior of systems of hyperbolic conservation laws with stiff relaxation terms. Reduced systems, inviscid… Expand

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Highly Cited

1991

Highly Cited

1991

IV. Stiff Problems - One-Step Methods.- IV.1 Examples of Stiff Equations.- IV.2 Stability Analysis for Explicit RK Methods.- IV.3… Expand

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Highly Cited

1979

Highly Cited

1979

This paper aims to assist the person who needs to solve stiff ordinary differential equations.First we identify the problem area… Expand

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Highly Cited

1979

Highly Cited

1979

This new edition has been expanded to contain an introduction to areas of current importance such as bifurcation, structural… Expand

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Highly Cited

1977

Highly Cited

1977

To be A-stable, and possibly useful for stiff systems, a Runge–Kutta formula must be implicit. There is a significant… Expand

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Highly Cited

1974

Highly Cited

1974

The stiffness in some systems of nonlinear differential equations is shown to be characterized by single stiff equations of the… Expand

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