Runge-Kutta collocation methods for differential-algebraic equations of indices 2 and 3

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542512100119 ◽

2012 ◽

Vol 52 (10) ◽

pp. 1373-1383 ◽

Author(s):

L. M. Skvortsov

Keyword(s):

Differential Algebraic Equations ◽

Collocation Methods ◽

Algebraic Equations ◽

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Projected Runge-Kutta methods for index 3 differential-algebraic equations near equilibria, periodic orbits and attracting sets

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drm007 ◽

2007 ◽

Vol 28 (2) ◽

pp. 274-291 ◽

Author(s):

J. Schropp

Keyword(s):

Periodic Orbits ◽

Differential Algebraic Equations ◽

Algebraic Equations ◽

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Strongly A-stable first stage explicit collocation methods with stepsize control for stiff and differential–algebraic equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.04.011 ◽

2014 ◽

Vol 259 ◽

pp. 138-152 ◽

Author(s):

S. González-Pinto ◽

D. Hernández-Abreu ◽

B. Simeon

Keyword(s):

Differential Algebraic Equations ◽

Collocation Methods ◽

Algebraic Equations ◽

Stepsize Control

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Runge-Kutta Methods Applied to Fully Implicit Differential-Algebraic Equations of Index 1

Mathematics of Computation ◽

10.2307/2008502 ◽

1990 ◽

Vol 54 (190) ◽

pp. 583 ◽

Author(s):

Anne Kvaerno

Keyword(s):

Differential Algebraic Equations ◽

Algebraic Equations ◽

Fully Implicit ◽

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Asymptotic Stability of Linear Neutral Delay Differential-Algebraic Equations and Runge--Kutta Methods

SIAM Journal on Numerical Analysis ◽

10.1137/110847093 ◽

2014 ◽

Vol 52 (1) ◽

pp. 68-82 ◽

Author(s):

Hongjiong Tian ◽

Quanhong Yu ◽

Jiaoxun Kuang

Keyword(s):

Asymptotic Stability ◽

Differential Algebraic Equations ◽

Algebraic Equations ◽

Neutral Delay ◽

Runge Kutta ◽

Delay Differential

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On Efficient Application of Implicit Runge-Kutta Methods to Large-Scale Systems of Index 1 Differential-Algebraic Equations

Computational Science — ICCS 2001 - Lecture Notes in Computer Science ◽

10.1007/3-540-45545-0_95 ◽

2001 ◽

pp. 832-841 ◽

Author(s):

Gennady Yu. Kulikov ◽

Alexandra A. Korneva

Keyword(s):

Large Scale ◽

Differential Algebraic Equations ◽

Algebraic Equations ◽

Large Scale Systems ◽

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Collocation methods for differential-algebraic equations of index 3

Numerische Mathematik ◽

10.1007/bf01385759 ◽

1993 ◽

Vol 65 (1) ◽

pp. 407-421 ◽

Author(s):

Laurent Jay

Keyword(s):

Differential Algebraic Equations ◽

Collocation Methods ◽

Algebraic Equations

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Convergence of Runge–Kutta methods applied to linear partial differential-algebraic equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2004.08.023 ◽

2005 ◽

Vol 53 (2-4) ◽

pp. 213-229 ◽

Author(s):

K. Debrabant ◽

K. Strehmel

Keyword(s):

Differential Algebraic Equations ◽

Algebraic Equations ◽

Partial Differential ◽

Partial Differential Algebraic Equations ◽

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Runge-Kutta methods for linear semi-explicit operator differential-algebraic equations

Mathematics of Computation ◽

10.1090/mcom/3270 ◽

2017 ◽

Vol 87 (309) ◽

pp. 149-174 ◽

Author(s):

R. Altmann ◽

C. Zimmer

Keyword(s):

Differential Algebraic Equations ◽

Algebraic Equations ◽

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On projected Runge-Kutta methods for differential-algebraic equations

BIT Numerical Mathematics ◽

10.1007/bf01933267 ◽

1991 ◽

Vol 31 (3) ◽

pp. 545-550 ◽

Author(s):

Ch. Lubich

Keyword(s):

Differential Algebraic Equations ◽

Algebraic Equations ◽

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Runge-Kutta methods revisited for a class of structured strangeness-free differential-algebraic equations

ETNA - Electronic Transactions on Numerical Analysis ◽

10.1553/etna_vol48s131 ◽

2018 ◽

Vol 48 ◽

pp. 131-155 ◽

Author(s):

Vu Hoang Linh ◽

Nguyen Duy Truong

Keyword(s):

Differential Algebraic Equations ◽

Algebraic Equations ◽

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