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## Roche, Michel

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 Author ID: roche.michel Published as: Roche, M.; Roche, Michel
 Documents Indexed: 15 Publications since 1988, including 1 Book
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#### Co-Authors

 5 single-authored 4 Lubich, Christian 3 Hairer, Ernst 3 Haurie, Alain B. 2 Ostermann, Alexander 1 Krawczyk, Jacek Bogdan 1 Rentrop, Peter 1 Steinebach, Gerd
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#### Serials

 2 BIT 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Journal of Economic Dynamics & Control 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics of Computation 1 Computing 1 Journal of Optimization Theory and Applications 1 Lecture Notes in Mathematics
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#### Fields

 12 Numerical analysis (65-XX) 10 Ordinary differential equations (34-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Partial differential equations (35-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

13 Publications have been cited 418 times in 306 Documents Cited by Year
The numerical solution of differential-algebraic systems by Runge-Kutta methods. Zbl 0683.65050
Hairer, Ernst; Lubich, Christian; Roche, Michel
1989
Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations. Zbl 0657.65093
Hairer, E.; Lubich, Ch.; Roche, M.
1988
Error of Rosenbrock methods for stiff problems studied via differential algebraic equations. Zbl 0674.65039
Hairer, E.; Lubich, Ch.; Roche, M.
1989
Runge-Kutta methods for partial differential equations and fractional orders of convergence. Zbl 0769.65068
Ostermann, A.; Roche, M.
1992
Rosenbrock methods for partial differential equations and fractional orders of convergence. Zbl 0780.65056
Ostermann, A.; Roche, M.
1993
Rosenbrock methods for differential algebraic equations. Zbl 0613.65076
Roche, Michel
1988
Implicit Runge-Kutta methods for differential algebraic equations. Zbl 0674.65040
Roche, Michel
1989
Monitoring cooperative equilibria in a stochastic differential game. Zbl 0830.90143
Haurie, A.; Krawczyk, J. B.; Roche, M.
1994
Rosenbrock methods for differential-algebraic systems with solution- dependent singular matrix multiplying the derivative. Zbl 0692.65038
Lubich, Ch.; Roche, M.
1990
The application of Rosenbrock-Wanner type methods with stepsize control in differential-algebraic equations. Zbl 0672.65046
Rentrop, P.; Roche, M.; Steinebach, G.
1989
Runge-Kutta methods for differential algebraic equations: Theory and implementation. Zbl 0684.65074
Roche, M.
1989
Turnpikes and computation of piecewise open-loop equilibria in stochastic differential games. Zbl 0875.90348
Haurie, Alain; Roche, Michel
1994
Differential algebraic systems and very stiff equations. Zbl 0688.65054
Roche, Michel
1988
Monitoring cooperative equilibria in a stochastic differential game. Zbl 0830.90143
Haurie, A.; Krawczyk, J. B.; Roche, M.
1994
Turnpikes and computation of piecewise open-loop equilibria in stochastic differential games. Zbl 0875.90348
Haurie, Alain; Roche, Michel
1994
Rosenbrock methods for partial differential equations and fractional orders of convergence. Zbl 0780.65056
Ostermann, A.; Roche, M.
1993
Runge-Kutta methods for partial differential equations and fractional orders of convergence. Zbl 0769.65068
Ostermann, A.; Roche, M.
1992
Rosenbrock methods for differential-algebraic systems with solution- dependent singular matrix multiplying the derivative. Zbl 0692.65038
Lubich, Ch.; Roche, M.
1990
The numerical solution of differential-algebraic systems by Runge-Kutta methods. Zbl 0683.65050
Hairer, Ernst; Lubich, Christian; Roche, Michel
1989
Error of Rosenbrock methods for stiff problems studied via differential algebraic equations. Zbl 0674.65039
Hairer, E.; Lubich, Ch.; Roche, M.
1989
Implicit Runge-Kutta methods for differential algebraic equations. Zbl 0674.65040
Roche, Michel
1989
The application of Rosenbrock-Wanner type methods with stepsize control in differential-algebraic equations. Zbl 0672.65046
Rentrop, P.; Roche, M.; Steinebach, G.
1989
Runge-Kutta methods for differential algebraic equations: Theory and implementation. Zbl 0684.65074
Roche, M.
1989
Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations. Zbl 0657.65093
Hairer, E.; Lubich, Ch.; Roche, M.
1988
Rosenbrock methods for differential algebraic equations. Zbl 0613.65076
Roche, Michel
1988
Differential algebraic systems and very stiff equations. Zbl 0688.65054
Roche, Michel
1988
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#### Cited by 384 Authors

 10 Campbell, Stephen LaVern 7 Lubich, Christian 7 Simeon, Bernd 6 Arnold, Martin 6 Huang, Jingfang 6 Jay, Laurent-Olivier 6 Mehrmann, Volker 6 Rang, Joachim 5 Hairer, Ernst 5 Hartmann, Stefan 5 Kirlinger, Gabriela 5 Minion, Michael L. 5 Strehmel, Karl 5 Weiner, Rüdiger 5 Xiao, Aiguo 4 Auzinger, Winfried 4 Boscarino, Sebastiano 4 Chan, Robert Peng Kong 4 Chartier, Philippe 4 Frank, Reinhard 4 Gerdts, Matthias 4 Higueras, Inmaculada 4 Kvaerno, Anne 4 Murua, Ander 4 Ostermann, Alexander 4 Wensch, Jörg 4 Yeung, David Wing-Kay 3 Altmann, Robert 3 Bendtsen, Claus 3 Bulatov, Mikhail Valer’yanovich 3 Burger, Michael 3 Burrage, Kevin 3 Dhayabaran, D. Paul 3 Evans, David John 3 González-Pinto, Severiano 3 Ibrahim, Iman H. 3 Jia, Jun 3 Kauthen, Jean-Paul 3 Kunkel, Peter 3 Lang, Jens 3 Leyendecker, Sigrid 3 Linh, Vu Hoang 3 Marszałek, Wiesław 3 Murugesan, K. 3 Pani, Amiya Kumar 3 Petrosyan, Leon Aganesovich 3 Petzold, Linda Ruth 3 Pishbin, Saeed 3 Pytlak, Radosław 3 Roche, Michel 3 Schneider, Stefan 3 Schropp, Johannes 3 Seiler, Werner M. 3 Steinebach, Gerd 3 Winkler, Renate 3 Yousry, Fatma M. 2 Angermann, Lutz 2 Åström, Karl Johan 2 Bai, Yin 2 Baum, Ann-Kristin 2 Betsch, Peter 2 Boom, Pieter D. 2 Brasey, V. 2 Brugnano, Luigi 2 Bu, Sunyoung 2 Butcher, John C. 2 Büttner, Mario 2 Carpenter, Mark H. 2 Chistyakov, Viktor Filimonovich 2 Colonius, Tim 2 Ehlers, Wolfgang 2 Fahrenthold, Eric P. 2 Franco, J. Méndez 2 Führer, Claus 2 Gan, Siqing 2 Ghanbari, F. 2 Günther, Michael 2 Hamkar, Ahmad-Wahadj 2 Heiland, Jan 2 Hernandez-Abreu, Domingo 2 John, Volker 2 Kennedy, Christopher A. 2 Koo, J. C. 2 Li, Shoufu 2 Liska, Sebastian 2 Lopez, Luciano 2 Magherini, Cecilia 2 Marheineke, Nicole 2 Marsden, Jerrold Eldon 2 März, Roswitha 2 Nørsett, Syvert Paul 2 Ober-Blöbaum, Sina 2 Ortiz, Michael 2 Owren, Brynjulf 2 Qiu, Jingmei 2 Reinschke, Kurt J. 2 Rentrop, Peter 2 Riaza, Ricardo 2 Rothe, Steffen 2 Sanderse, Benjamin ...and 284 more Authors
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#### Cited in 82 Serials

 43 Applied Numerical Mathematics 33 Journal of Computational and Applied Mathematics 24 BIT 15 Journal of Computational Physics 14 Applied Mathematics and Computation 12 Numerische Mathematik 9 Computing 8 Computers & Mathematics with Applications 8 Computer Methods in Applied Mechanics and Engineering 6 Mathematics of Computation 6 Multibody System Dynamics 5 International Journal of Computer Mathematics 4 International Journal for Numerical Methods in Engineering 4 Journal of Optimization Theory and Applications 4 Journal of Economic Dynamics & Control 4 Journal of Scientific Computing 4 Numerical Algorithms 4 Linear Algebra and its Applications 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Automatica 3 Circuits, Systems, and Signal Processing 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of the Franklin Institute 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Acta Mathematicae Applicatae Sinica. English Series 2 Computational Mechanics 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Applied Mathematical Modelling 2 Archive of Applied Mechanics 2 SIAM Journal on Scientific Computing 2 Complexity 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Communications in Nonlinear Science and Numerical Simulation 2 International Journal of Applied Mathematics and Computer Science 2 International Game Theory Review 1 Computers and Fluids 1 Journal of Engineering Mathematics 1 Acta Mathematica Vietnamica 1 The Annals of Probability 1 International Journal of Circuit Theory and Applications 1 Journal of Mathematical Economics 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Optimal Control Applications & Methods 1 Insurance Mathematics & Economics 1 Operations Research Letters 1 Physica D 1 Asymptotic Analysis 1 SIAM Journal on Matrix Analysis and Applications 1 Annals of Operations Research 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Communications in Numerical Methods in Engineering 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Optimization Methods & Software 1 Mathematical and Computer Modelling of Dynamical Systems 1 European Journal of Mechanics. B. Fluids 1 Journal of Applied Mathematics and Computing 1 International Journal of Computational Methods 1 International Journal of Geometric Methods in Modern Physics 1 Advances in Difference Equations 1 Mathematics in Computer Science 1 Banach Journal of Mathematical Analysis 1 Dynamic Games and Applications 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Caspian Journal of Mathematical Sciences
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#### Cited in 26 Fields

 229 Numerical analysis (65-XX) 171 Ordinary differential equations (34-XX) 33 Mechanics of particles and systems (70-XX) 28 Partial differential equations (35-XX) 28 Fluid mechanics (76-XX) 19 Systems theory; control (93-XX) 18 Mechanics of deformable solids (74-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Dynamical systems and ergodic theory (37-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Integral equations (45-XX) 7 Biology and other natural sciences (92-XX) 6 Probability theory and stochastic processes (60-XX) 5 Operations research, mathematical programming (90-XX) 5 Information and communication theory, circuits (94-XX) 4 Operator theory (47-XX) 4 Computer science (68-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 1 Commutative algebra (13-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX)