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Highly Cited

2005

Highly Cited

2005

The aim of this paper is to analyze explicit exponential Runge--Kutta methods for the time integration of semilinear parabolic… Expand

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Highly Cited

1998

Highly Cited

1998

In this paper we further explore a class of high order TVD (total variation diminishing) Runge-Kutta time discretization… Expand

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Highly Cited

1997

Highly Cited

1997

Abstract Implicit-explicit (IMEX) linear multistep time-discretization schemes for partial differential equations have proved… Expand

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Highly Cited

1994

Highly Cited

1994

In this paper, we investigate accurate and efficient time advancing methods for computational acoustics, where nondissipative and… Expand

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Highly Cited

1994

Highly Cited

1994

A family of five-stage fourth-order Runge-Kutta schemes is derived; these schemes require only two storage locations. A… Expand

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Highly Cited

1990

Highly Cited

1990

A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides

Explicit Runge-Kutta methods (RKMs) are among the most popular classes of formulas for the approximate numerical integration of… Expand

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Highly Cited

1990

Highly Cited

1990

In this paper we study the two-dimensional version of the Runge- Kutta Local Projection Discontinuous Galerkin (RKDG) methods… Expand

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Highly Cited

1989

Highly Cited

1989

Construction et analyse d'une classe de methodes a elements finis de Galerkin discontinues a variation totale bornee pour la… Expand

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Highly Cited

1989

Highly Cited

1989

The term differential-algebraic equation was coined to comprise differential equations with constraints (differential equations… 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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