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Runge–Kutta methods

Known as: Runge kutta, Butcher table, Runge Kutta Method 
In numerical analysis, the Runge–Kutta methods are a family of implicit and explicit iterative methods, which includes the well-known routine called… 
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Papers overview

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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… 
Review
2001
Review
2001
In this paper, we review the development of the Runge–Kutta discontinuous Galerkin (RKDG) methods for non-linear convection… 
Highly Cited
2000
Highly Cited
2000
  • W. Hager
  • Numerische Mathematik
  • 2000
  • Corpus ID: 16715381
Summary. The convergence rate is determined for Runge-Kutta discretizations of nonlinear control problems. The analysis utilizes… 
Highly Cited
2000
Highly Cited
2000
A number of conservative PDEs, like various wave equations, allow for a multi-symplectic formulation which can be viewed as a… 
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… 
Highly Cited
1994
Highly Cited
1994
In this paper, we investigate accurate and efficient time advancing methods for computational acoustics, where nondissipative and… 
Highly Cited
1991
Highly Cited
1991
Nous introduisons et analysons le schema modele d'une nouvelle classe de methodes pour resoudre numeriquement les lois de… 
Highly Cited
1990
Highly Cited
1990
Explicit Runge-Kutta methods (RKMs) are among the most popular classes of formulas for the approximate numerical integration of… 
Highly Cited
1989
Highly Cited
1989
The term differential-algebraic equation was coined to comprise differential equations with constraints (differential equations… 
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…