Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods

Kjell Gustafsson

doi:10.1145/210232.210242

Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods

ACM Transactions on Mathematical Software ◽

10.1145/210232.210242 ◽

1991 ◽

Vol 17 (4) ◽

pp. 533-554 ◽

Cited By ~ 86

Author(s):

Kjell Gustafsson

Keyword(s):

Runge Kutta ◽

Stepsize Selection

Download Full-text

Control-theoretic techniques for stepsize selection in implicit Runge-Kutta methods

ACM Transactions on Mathematical Software ◽

10.1145/198429.198437 ◽

1994 ◽

Vol 20 (4) ◽

pp. 496-517 ◽

Cited By ~ 105

Author(s):

Kjell Gustafsson

Keyword(s):

Runge Kutta ◽

Stepsize Selection

Download Full-text

Stepsize Selection in Implicit Runge-Kutta Methods Viewed as a Control Problem

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)49173-7 ◽

1993 ◽

Vol 26 (2) ◽

pp. 495-498

Author(s):

K. Gustafsson

Keyword(s):

Control Problem ◽

Runge Kutta ◽

Stepsize Selection

Download Full-text

Stepsize Selection in Explicit Runge-Kutta Methods for Moderately Stiff Problems

Applied Mathematics ◽

10.4236/am.2011.26094 ◽

2011 ◽

Vol 02 (06) ◽

pp. 711-717 ◽

Cited By ~ 2

Author(s):

Justin Steven Calder Prentice

Keyword(s):

Stiff Problems ◽

Runge Kutta ◽

Stepsize Selection

Download Full-text

114 Stepsize selection in implicit Runge-Kutta methods viewed as a control problem

Control Engineering Practice ◽

10.1016/0967-0661(94)90903-2 ◽

1994 ◽

Vol 2 (3) ◽

pp. 531

Keyword(s):

Control Problem ◽

Runge Kutta ◽

Stepsize Selection

Download Full-text

Analysis of Stepsize Selection Schemes for Runge-Kutta Codes

IMA Journal of Numerical Analysis ◽

10.1093/imanum/8.3.305 ◽

1988 ◽

Vol 8 (3) ◽

pp. 305-310 ◽

Cited By ~ 19

Author(s):

G. HALL ◽

D. J. HIGHAM

Keyword(s):

Runge Kutta ◽

Stepsize Selection

Download Full-text

Numerical Solution of Fuzzy Initial Value Problems by Fourth Order Runge-Kutta Method Based on Contraharmonic Mean

Indian Journal Of Applied Research ◽

10.15373/2249555x/apr2013/111 ◽

2011 ◽

Vol 3 (4) ◽

pp. 59-63 ◽

Cited By ~ 1

Author(s):

R. Gethsi Sharmila ◽

◽

E. C. Henry Amirtharaj

Keyword(s):

Numerical Solution ◽

Fourth Order ◽

Initial Value Problems ◽

Kutta Method ◽

Initial Value ◽

Runge Kutta Method ◽

Contraharmonic Mean ◽

Runge Kutta

Download Full-text

Numerical modeling of mixing downstream of a mass slug injection using exponential Runge-Kutta integrator

10.15618/isos.20160513.03 ◽

2016 ◽

Author(s):

Xin Liu ◽

◽

ABDOLMAJID MOHAMMADIAN ◽

Infante Sedano

Keyword(s):

Numerical Modeling ◽

Runge Kutta

Download Full-text

Semi-implicit Runge-Kutta schemes for stiff multi-dimensional reacting flows

10.2514/6.1997-803 ◽

1997 ◽

Cited By ~ 4

Author(s):

Jack Yoh ◽

Xiaolin Zhong ◽

Jack Yoh ◽

Xiaolin Zhong

Keyword(s):

Reacting Flows ◽

Runge Kutta

Download Full-text

Numerical Solution of Fuzzy Differential Equations by Seventh Order Runge-Kutta Method

Journal of Computer and Mathematical Sciences ◽

10.29055/jcms/1143 ◽

2019 ◽

Vol 10 (7) ◽

pp. 1518-1528

Author(s):

P. Rajkumar ◽

S. Rubanraj

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Kutta Method ◽

Runge Kutta Method ◽

Seventh Order ◽

Runge Kutta

Download Full-text

A Comparative Study on Numerical Solution of Initial Value Problem by Using Euler�s Method, Modified Euler�s Method and Runge-Kutta Method

Journal of Computer and Mathematical Sciences ◽

10.29055/jcms/784 ◽

2018 ◽

Vol 9 (5) ◽

pp. 493-500

Author(s):

Md. Kamruzzaman ◽

Mithun Chandra Nath

Keyword(s):

Comparative Study ◽

Numerical Solution ◽

Initial Value Problem ◽

Kutta Method ◽

Initial Value ◽

Runge Kutta Method ◽

Runge Kutta

Download Full-text