The Numerical Solution of Differential-Algebraic Systems by Runge–Kutta Methods (Ernst Hairer, Christian Lubich, and Michel Roche)

Stephen L. Campbell

doi:10.1137/1033127

The Numerical Solution of Differential-Algebraic Systems by Runge–Kutta Methods (Ernst Hairer, Christian Lubich, and Michel Roche)

SIAM Review ◽

10.1137/1033127 ◽

1991 ◽

Vol 33 (3) ◽

pp. 504-506 ◽

Cited By ~ 1

Author(s):

Stephen L. Campbell

Keyword(s):

Numerical Solution ◽

Algebraic Systems ◽

Runge Kutta

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The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods

10.1007/bfb0093947 ◽

1989 ◽

Cited By ~ 258

Author(s):

Ernst Hairer ◽

Michel Roche ◽

Christian Lubich

Keyword(s):

Numerical Solution ◽

Algebraic Systems ◽

Runge Kutta

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The numerical solution of differential-algebraic systems using Runge Kutta methods of special type

10.31274/rtd-180813-8968 ◽

1989 ◽

Author(s):

James John Coyle

Keyword(s):

Numerical Solution ◽

Algebraic Systems ◽

Runge Kutta

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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

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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

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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

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Numerical Solution of Volterra Integro–Differential Equation Using 6th Order Runge-Kutta Method

Journal of Physics Conference Series ◽

10.1088/1742-6596/1818/1/012183 ◽

2021 ◽

Vol 1818 (1) ◽

pp. 012183

Author(s):

A. F. Al-Shimmary ◽

A. K. Hussain ◽

S.K. Radhi

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Kutta Method ◽

Integro Differential Equation ◽

Runge Kutta Method ◽

Runge Kutta

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The Numerical Solution of Linear Algebraic Systems

Mechanical Engineering Series - Fundamentals of Robotic Mechanical Systems ◽

10.1007/978-1-4757-2708-1_12 ◽

1997 ◽

pp. 437-445

Author(s):

Jorge Angeles

Keyword(s):

Numerical Solution ◽

Algebraic Systems ◽

Linear Algebraic Systems

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Mean square numerical solution of stochastic differential equations by fourth order Runge-Kutta method and its application in the electric circuits with noise

Advances in Difference Equations ◽

10.1186/s13662-015-0398-6 ◽

2015 ◽

Vol 2015 (1) ◽

Cited By ~ 1

Author(s):

Morteza Khodabin ◽

Majid Rostami

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Stochastic Differential Equations ◽

Fourth Order ◽

Mean Square ◽

Kutta Method ◽

Electric Circuits ◽

Runge Kutta Method ◽

Runge Kutta

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Numerical solution of fuzzy differential equations of nth-order by Runge–Kutta method

Neural Computing and Applications ◽

10.1007/s00521-012-0928-z ◽

2012 ◽

Vol 21 (S1) ◽

pp. 347-355 ◽

Cited By ~ 11

Author(s):

Nouredin Parandin

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Kutta Method ◽

Runge Kutta Method ◽

Runge Kutta

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A new embedded 4(3) pair of modified two-derivative Runge–Kutta methods with FSAL property for the numerical solution of the Schrödinger equation

Journal of Mathematical Chemistry ◽

10.1007/s10910-018-0974-6 ◽

2018 ◽

Vol 57 (5) ◽

pp. 1413-1426

Author(s):

Shiwei Liu ◽

Juan Zheng ◽

Yonglei Fang

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

Runge Kutta

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