A history of Runge-Kutta methods
type: Item
instance of: scholarly article
title: A history of Runge-Kutta methods
zbMATH Open document ID: 0858.65073
DOI: 10.1016/0168-9274(95)00108-5
published in: Applied Numerical Mathematics
publication date: 1997-03-11T00:00:00Z
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65-03
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 897543
zbMATH Keywords: Runge-Kutta methods
zbMATH Keywords: theory of order of accuracy
zbMATH Keywords: implicit methods
zbMATH Keywords: stability analysis
zbMATH Keywords: error estimation
zbMATH Keywords: dense output
author: J. C. Butcher
describes a project that uses: RODAS
MaRDI profile type: Publication
full work available at URL: 0168-9274(95)00108-5
OpenAlex ID: W2121498459
cites work: Q4732045
cites work: Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
cites work: Discretization Errors for Well‐Set Cauchy Problems. I.
cites work: A special family of Runge-Kutta methods for solving stiff differential equations
cites work: Stability Criteria for Implicit Runge–Kutta Methods
cites work: Coefficients for the study of Runge-Kutta integration processes
cites work: On Runge-Kutta processes of high order
cites work: Implicit Runge-Kutta Processes
cites work: Q4725642
cites work: Some Explicit Runge”Kutta Methods of High Order
cites work: Sur la B-stabilité des méthodes de Runge-Kutta
cites work: An eighth order Runge-Kutta process with eleven function evaluations per step
cites work: High-order Explicit Runge-Kutta Formulae, Their Uses, and Limitations
cites work: A family of embedded Runge-Kutta formulae
cites work: Klassische Runge-Kutta-Formeln fünfter und siebenter Ordnung mit Schrittweiten-Kontrolle
cites work: The Concept of B-Convergence
cites work: B-convergence: A survey
cites work: Runge-Kutta Starters for Multistep Methods
cites work: Q5803623
cites work: Q4000061
cites work: Trapezoidal Methods of Approximating Solutions of Differential Equations
cites work: Q3291844
cites work: Q4002473
cites work: Q5735792
cites work: The Potential for Parallelism in Runge–Kutta Methods. Part 1: RK Formulas in Standard Form
cites work: On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
cites work: Q4016507
cites work: Q4315882
cites work: Explicit Runge–Kutta Methods with Estimates of the Local Truncation Error
cites work: Order stars and stability theorems
Wikidata QID: Q127771356
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description: scientific article; zbMATH DE number 897543