IMPLICIT RUNGE-KUTTA METHODS FOR HIGHER INDEX DIFFERENTIAL-ALGEBRAIC SYSTEMS

Contributions in Numerical Mathematics ◽

10.1142/9789812798886_0017 ◽

1993 ◽

pp. 213-224 ◽

Author(s):

E. HAIRER ◽

L. JAY

Keyword(s):

Algebraic Systems ◽

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

10.1007/bfb0093947 ◽

1989 ◽

Author(s):

Ernst Hairer ◽

Michel Roche ◽

Christian Lubich

Keyword(s):

Numerical Solution ◽

Algebraic Systems ◽

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A class of half-explicit Runge-Kutta methods for differential-algebraic systems of index 3

Applied Numerical Mathematics ◽

10.1016/0168-9274(93)90140-m ◽

1993 ◽

Vol 13 (1-3) ◽

pp. 165-179 ◽

Author(s):

Alexander Ostermann

Keyword(s):

Algebraic Systems ◽

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On Order Reduction for Runge–Kutta Methods Applied to Differential/Algebraic Systems and to Stiff Systems of ODEs

SIAM Journal on Numerical Analysis ◽

10.1137/0727027 ◽

1990 ◽

Vol 27 (2) ◽

pp. 447-456 ◽

Author(s):

Kevin Burrage ◽

Linda Petzold

Keyword(s):

Order Reduction ◽

Stiff Systems ◽

Algebraic Systems ◽

Systems Of Odes ◽

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Half-Explicit Runge–Kutta Methods for Differential-Algebraic Systems of Index 2

SIAM Journal on Numerical Analysis ◽

10.1137/0730025 ◽

1993 ◽

Vol 30 (2) ◽

pp. 538-552 ◽

Author(s):

V. Brasey ◽

E. Hairer

Keyword(s):

Algebraic Systems ◽

Index 2 ◽

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A sequential computational approach to optimal control problems for differential-algebraic systems based on efficient implicit Runge–Kutta integration

Applied Mathematical Modelling ◽

10.1016/j.apm.2017.05.015 ◽

2018 ◽

Vol 58 ◽

pp. 313-330 ◽

Author(s):

Canghua Jiang ◽

Kun Xie ◽

Changjun Yu ◽

Ming Yu ◽

Hai Wang ◽

...

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Computational Approach ◽

Control Problems ◽

Algebraic Systems ◽

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Runge–Kutta Methods and Differential-Algebraic Systems

SIAM Journal on Numerical Analysis ◽

10.1137/0727043 ◽

1990 ◽

Vol 27 (3) ◽

pp. 736-752 ◽

Author(s):

Roger K. Alexander ◽

James J. Coyle

Keyword(s):

Algebraic Systems ◽

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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 ◽

Author(s):

Stephen L. Campbell

Keyword(s):

Numerical Solution ◽

Algebraic Systems ◽

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Behavior of Runge–Kutta discretizations near equilibria of index 2 differential algebraic systems

Applied Numerical Mathematics ◽

10.1016/s0168-9274(01)00165-9 ◽

2002 ◽

Vol 42 (1-3) ◽

pp. 425-435

Author(s):

Johannes Schropp

Keyword(s):

Algebraic Systems ◽

Index 2 ◽

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Error Analysis of IMEX Runge–Kutta Methods Derived from Differential-Algebraic Systems

SIAM Journal on Numerical Analysis ◽

10.1137/060656929 ◽

2007 ◽

Vol 45 (4) ◽

pp. 1600-1621 ◽

Author(s):

Sebastiano Boscarino

Keyword(s):

Error Analysis ◽

Algebraic Systems ◽

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Partitioned half-explicit Runge-Kutta methods for differential-algebraic systems of index 2

Computing ◽

10.1007/bf02684403 ◽

1997 ◽

Vol 59 (1) ◽

pp. 43-61 ◽

Author(s):

A. Murua

Keyword(s):

Algebraic Systems ◽

Index 2 ◽

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