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## Roose, Dirk

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 Author ID: roose.dirk Published as: Roose, D.; Roose, Dirk External Links: MGP · ORCID
 Documents Indexed: 113 Publications since 1981, including 3 Books
all top 5

#### Co-Authors

 2 single-authored 22 Engelborghs, Koen 21 Luzyanina, Tatyana 12 Samaey, Giovanni 11 Lust, Kurt 9 Kevrekidis, Ioannis George 8 Michiels, Wim 7 Vandekerckhove, Christophe 6 De Keyser, Johan 6 Van Leemput, Pieter 5 de Dier, Bart 4 Bocharov, Gennady A. 4 Spence, Alastair 4 Vanroose, Wim 3 Beernaert, Lutgarde 3 Khibnik, Alexander I. 3 Meerbergen, Karl 3 Vanderstraeten, Denis 3 Volodine, Tim 2 Borisyuk, Roman M. 2 Dambrine, Michel 2 De Baerdemaeker, Josse 2 Deconinck, Herman 2 Embrechts, Hugo 2 Frederix, Yves 2 Goossens, Serge 2 Hlavacek, Vladimir 2 Ramon, Herman 2 Tijskens, Engelbert 2 Van Driessche, Rafael 2 Verheyden, Koen 1 Aeyels, Dirk 1 Banks, Harvey Thomas 1 Bär, Markus 1 Basermann, Achim 1 Bélair, Jacques 1 Bomans, L. 1 Borisyuk, Galina N. 1 Bultheel, Adhemar François 1 Cai, Xiao-Chuan 1 Caluwaerts, R. 1 Champneys, Alan R. 1 Chua, Leon Ong 1 Clinckemaillie, Jan 1 Cools, Ronald 1 Coupez, Thierry 1 de Doncker, Elise 1 De Groen, Piet C. 1 De Sterck, Hans 1 Demarsin, Kris 1 Digonnet, Hugues 1 Dochain, Denis 1 Ducloux, R. 1 Edwards, John T. 1 Ehl, Stephan 1 Erneux, Thomas 1 Fingberg, Jochen 1 Gorban, Alexander N. 1 Gratien, Jean-Marc 1 Green, Kirk 1 Haegemans, Ann 1 Hartmann, Uwe 1 Hempel, Reiner 1 in ’t Hout, Karel J. 1 Krishnan, Jeyashree 1 Lafitte, Pauline 1 Larger, Laurent 1 Lejon, Annelies 1 Lemaire, Vincent 1 Li, Ting 1 Lonsdale, Guy 1 Lust, K. W. A. 1 Maerten, Bart 1 Malfait, Maurits 1 Melis, Ward 1 Mittelmann, Hans Detlef 1 Mondié, Sabine 1 Moreau, Luc 1 Mrusek, Sonja 1 Nies, Erik 1 Orban, Guy A. 1 Piessens, Robert 1 Poedts, Stefaan 1 Recarey Morfa, Carlos 1 Reyes López, Yaidel 1 Rheinboldt, Werner C. 1 Sepulchre, Rodolphe J. 1 Seydel, Rüdiger U. 1 Struys, R. 1 Sutton, Karyn L. 1 Sweldens, Wim 1 Szalai, Róbert 1 Thompson, W. Clayton 1 Tollenaere, Tom 1 Uytterhoeven, Geert 1 Van Praet, S. 1 van Rompay, Paul 1 Vansevenant, P. 1 Verlinden, Pierre 1 Walshaw, Chris H. 1 Wu, Wei ...and 1 more Co-Authors
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#### Serials

 11 Journal of Computational and Applied Mathematics 6 Parallel Computing 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Mathematical Biology 3 Applied Numerical Mathematics 3 Numerical Algorithms 3 Multiscale Modeling & Simulation 2 IMA Journal of Numerical Analysis 2 Bulletin of Mathematical Biology 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Scientific Computing 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Control 1 Journal of Computational Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Chaos, Solitons and Fractals 1 ACM Transactions on Mathematical Software 1 Automatica 1 BIT 1 Computing 1 IEEE Transactions on Automatic Control 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Scientific and Statistical Computing 1 Physica D 1 Computational Mechanics 1 Dynamics and Stability of Systems 1 SIAM Journal on Matrix Analysis and Applications 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Scientific Computing 1 Applied Mathematical Modelling 1 Numerical Linear Algebra with Applications 1 Advances in Computational Mathematics 1 Parallel Algorithms and Applications 1 Functional Differential Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 ISNM. International Series of Numerical Mathematics 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Lecture Notes in Computational Science and Engineering 1 Journal of Algorithms & Computational Technology
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#### Fields

 75 Numerical analysis (65-XX) 39 Ordinary differential equations (34-XX) 27 Partial differential equations (35-XX) 14 Fluid mechanics (76-XX) 13 Dynamical systems and ergodic theory (37-XX) 11 Computer science (68-XX) 8 Systems theory; control (93-XX) 7 Biology and other natural sciences (92-XX) 4 Statistics (62-XX) 3 General and overarching topics; collections (00-XX) 3 Integral equations (45-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH

89 Publications have been cited 922 times in 679 Documents Cited by Year
Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL. Zbl 1070.65556
Engelborghs, K.; Luzyanina, T.; Roose, D.
2002
On periodic orbits and homoclinic bifurcations in Chua’s circuit with a smooth nonlinearity. Zbl 0870.58078
Khibnik, Alexander I.; Roose, Dirk; Chua, Leon O.
1993
Collocation methods for the computation of periodic solutions of delay differential equations. Zbl 0981.65082
Engelborghs, K.; Luzyanina, T.; in ’t Hout, K. J.; Roose, D.
2000
Continuous pole placement for delay equations. Zbl 1034.93026
Michiels, W.; Engelborghs, K.; Vansevenant, P.; Roose, D.
2002
Limitations of a class of stabilization methods for delay systems. Zbl 1056.93607
Engelborghs, K.; Dambrine, M.; Roose, D.
2001
An adaptive Newton-Picard algorithm with subspace iteration for computing periodic solutions. Zbl 0915.65088
Lust, K.; Roose, D.
1998
On stability of LMS methods and characteristic roots of delay differential equations. Zbl 1021.65040
Engelborghs, K.; Roose, D.
2002
Computation, continuation and bifurcation analysis of periodic solutions of delay differential equations. Zbl 0910.34057
Luzyanina, Tatyana; Engelborghs, Koen; Lust, Kurt; Roose, Dirk
1997
Numerical bifurcation analysis of delay differential equations. Zbl 0970.65090
Engelborghs, Koen; Luzyanina, Tatyana; Roose, Dirk
2000
Matrix transformations for computing rightmost eigenvalues of large sparse non-symmetric eigenvalue problems. Zbl 0856.65033
Meerbergen, Karl; Roose, Dirk
1996
A direct method for the computation of Hopf bifurcation points. Zbl 0592.65080
Roose, D.; Hlavaček, V.
1985
Numerical bifurcation analysis of delay differential equations arising from physiological modeling. Zbl 0983.65136
Engelborghs, K.; Lemaire, V.; Bélair, J.; Roose, D.
2001
Shift-invert and Cayley transforms for detection of rightmost eigenvalues of nonsymmetric matrices. Zbl 0814.65037
Meerbergen, K.; Spence, A.; Roose, D.
1994
Dynamic particle refinement in SPH: application to free surface flow and non-cohesive soil simulations. Zbl 1311.76113
Reyes López, Yaidel; Roose, Dirk; Recarey Morfa, Carlos
2013
Numerical computation of stability and detection of Hopf bifurcations of steady state solutions of delay differential equations. Zbl 0929.65054
Engelborghs, Koen; Roose, Dirk
1999
Estimation of cell proliferation dynamics using CFSE data. Zbl 1209.92012
Banks, H. T.; Sutton, Karyn L.; Thompson, W. Clayton; Bocharov, Gennady; Roose, Dirk
2011
Computing stability of differential equations with bounded distributed delays. Zbl 1041.65110
Luzyanina, T.; Engelborghs, K.; Roose, D.
2003
Numerical determination of an emanating branch of Hopf bifurcation points in a two-parameter problem. Zbl 0677.65090
Roose, Dirk; de Dier, Bart
1989
Continuation and bifurcation analysis of delay differential equations. Zbl 1132.34001
Roose, Dirk; Szalai, Robert
2007
Sensitivity to infinitesimal delays in neutral equations. Zbl 1016.34079
Michiels, W.; Engelborghs, K.; Roose, D.; Dochain, D.
2001
Ritz and harmonic Ritz values and the convergence of FOM and GMRES. Zbl 0983.65034
Goossens, Serge; Roose, Dirk
1999
Numerical stability analysis and computation of Hopf bifurcation points for delay differential equations. Zbl 0855.65092
Luzyanina, Tatyana; Roose, Dirk
1996
The gap-tooth scheme for homogenization problems. Zbl 1092.35009
Samaey, Giovanni; Roose, Dirk; Kevrekidis, Ioannis G.
2005
Dynamics and bifurcations of two coupled neural oscillators with different connection types. Zbl 0836.92004
Borisyuk, Galina N.; Borisyuk, Roman M.; Khibnik, Alexander I.; Roose, Dirk
1995
An algorithm for the computation of Hopf bifurcation points in comparison with other methods. Zbl 0577.65092
Roose, D.
1985
Computational analysis of CFSE proliferation assay. Zbl 1113.92021
Luzyanina, Tatyana; Mrusek, Sonja; Edwards, John T.; Roose, Dirk; Ehl, Stephan; Bocharov, Gennady
2007
Numerical bifurcation analysis of differential equations with state-dependent delay. Zbl 1090.65551
Luzyanina, Tatyana; Engelborghs, Koen; Roose, Dirk
2001
Bifurcation analysis of periodic solutions to neutral functional differential equations: A case study. Zbl 0941.34070
Engelborghs, Koen; Roose, Dirk; Luzyanina, Tatyana
1998
Numerical computation of nonsimple turning points and cusps. Zbl 0543.65040
Roose, Dirk; Piessens, Robert
1985
Mesoscale analysis of the equation-free constrained runs initialization scheme. Zbl 1248.76121
Van Leemput, Pieter; Vanroose, Wim; Roose, Dirk
2008
Patch dynamics with buffers for homogenization problems. Zbl 1092.65074
Samaey, Giovanni; Kevrekidis, Ioannis G.; Roose, Dirk
2006
Efficient computation of characteristic roots of delay differential equations using LMS methods. Zbl 1135.65349
Verheyden, Koen; Luzyanina, Tatyana; Roose, Dirk
2008
Numerical stability analysis of an acceleration scheme for step size constrained time integrators. Zbl 1108.37054
Vandekerckhove, Christophe; Roose, Dirk; Lust, Kurt
2007
An eigenvalue based approach for the robust stabilization of linear time-delay systems. Zbl 1039.93059
Michiels, W.; Roose, D.
2003
Dynamic load-balancing of finite element applications with the DRAMA library. Zbl 1076.65534
Basermann, A.; Clinckemaillie, J.; Coupez, T.; Fingberg, J.; Digonnet, H.; Ducloux, R.; Gratien, J.-M.; Hartmann, U.; Lonsdale, G.; Maerten, B.; Roose, D.; Walshaw, C.
2000
The restarted Arnoldi method applied to iterative linear system solvers for the computation of rightmost eigenvalues. Zbl 0872.65038
Meerbergen, Karl; Roose, Dirk
1997
A Newton-Picard shooting method for computing periodic solutions of large-scale dynamical systems. Zbl 1080.65542
Roose, D.; Lust, K.; Champneys, A.; Spence, A.
1995
An improved spectral bisection algorithm and its application to dynamic load balancing. Zbl 0875.68257
Van Driessche, R.; Roose, D.
1995
Accuracy of hybrid lattice Boltzmann/finite difference schemes for reaction-diffusion systems. Zbl 1151.76559
Van Leemput, Pieter; Vandekerckhove, Christophe; Vanroose, Wim; Roose, Dirk
2007
The effect of approximating distributed delay control laws on stability. Zbl 1134.93392
Michiels, Wim; Mondié, Sabine; Roose, Dirk; Dambrine, Michel
2004
An efficient Newton-Krylov implementation of the constrained runs scheme for initializing on a slow manifold. Zbl 1203.65154
Vandekerckhove, Christophe; Kevrekidis, Ioannis; Roose, Dirk
2009
Distributed parameter identification for a label-structured cell population dynamics model using CFSE histogram time-series data. Zbl 1231.92027
Luzyanina, Tatyana; Roose, Dirk; Bocharov, Gennady
2009
Accuracy analysis of acceleration schemes for stiff multiscale problems. Zbl 1134.65044
Vandekerckhove, Christophe; Roose, Dirk
2008
Equations with distributed delays: bifurcation analysis using computational tools for discrete delay equations. Zbl 1064.34057
Luzyanina, Tatyana; Roose, Dirk
2004
Numerical computation of connecting orbits in delay differential equations. Zbl 1008.65096
Samaey, Giovanni; Engelborghs, Koen; Roose, Dirk
2002
Automatic differentiation for solving nonlinear partial differential equations: an efficient operator overloading approach. Zbl 1008.65087
Tijskens, E.; Roose, D.; Ramon, H.; De Baerdemaeker, J.
2002
Some collocation results on computing periodic solutions of delay differential equations. Zbl 0965.65099
Luzyanina, T.; Engelborghs, K.; Roose, D.
2000
Aspects of continuation software. Zbl 0711.65037
Rheinboldt, W. C.; Roose, D.; Seydel, R.
1990
Direct methods for the computation of a nonsimple turning point corresponding to a cusp. Zbl 0539.65042
Roose, D.; Caluwaerts, R.
1984
Numerical computation of Hopf bifurcation points for parabolic diffusion- reaction differential equations. Zbl 0548.35012
Roose, D.; Hlavacek, V.
1983
Numerical bifurcation analysis of immunological models with time delays. Zbl 1072.92025
Luzyanina, Tatyana; Roose, Dirk; Bocharov, Gennady
2005
Stability of perturbed delay differential equations and stabilization of nonlinear cascade systems. Zbl 1002.34069
Michiels, W.; Sepulchre, R.; Roose, D.
2001
Computation and bifurcation analysis of periodic solutions of large-scale systems. Zbl 0958.65141
Lust, Kurt; Roose, Dirk
2000
Interaction between fold and Hopf curves leads to new bifurcation phenomena. Zbl 0689.65034
de Dier, Bart; Roose, Dirk; van Rompay, Paul
1989
Accuracy and stability of the coarse time-stepper for a lattice Boltzmann model. Zbl 1221.76166
Vandekerckhove, Christophe; van Leemput, Pieter; Roose, Dirk
2008
Combining the gap-tooth scheme with projective integration: Patch dynamics. Zbl 1117.65353
Samaey, Giovanni; Roose, Dirk; Kevrekidis, Ioannis G.
2005
FastDer++, efficient automatic differentiation for non-linear PDE solvers. Zbl 1049.65109
Tijskens, E.; Roose, D.; Ramon, H.; De Baerdemaeker, J.
2004
On numerical methods for bifurcation analysis of delay differential equations. Zbl 0963.65080
Engelborghs, K.; Luzyanina, T.; Roose, D.
2000
Direct computation of period doubling bifurcation points of large-scale systems of ODEs using a Newton-Picard method. Zbl 0944.65133
Engelborghs, K.; Lust, K.; Roose, D.
1999
Smoothness loss of periodic solutions of a neutral functional differential equation: On a bifurcation of the essential spectrum. Zbl 0936.34057
Engelborghs, Koen; Roose, Dirk
1999
Newton-Picard methods with subspace iteration for computing periodic solutions of partial differential equations. Zbl 0997.65537
Lust, K.; Roose, D.
1996
Numerical bifurcation analysis of a model of coupled neural oscillators. Zbl 0755.92003
Khibnik, Alexander I.; Borisyuk, Roman M.; Roose, Dirk
1992
Continuation and bifurcations: numerical techniques and applications. Proceedings of the NATO advanced research workshop, Leuven, Belgium, September 18-22, 1989. Zbl 0701.00021
Roose, Dirk (ed.); De Dier, Bart (ed.); Spence, Alastair (ed.)
1990
Continuation techniques and bifurcation problems. Reprint from the ’Journal of Computational and Applied Mathematics, 26, No. 1/2 (1989)’. Zbl 0681.00007
Mittelmann, Hans D. (ed.); Roose, Dirk (ed.)
1990
The construction of cubature formulae for a family of integrals: A bifurcation problem. Zbl 0668.65018
Verlinden, P.; Cools, R.; Roose, D.; Haegemans, Ann
1988
Numerical computation of origins for Hopf bifurcation in a two-parameter problem. Zbl 0645.65046
Roose, D.
1987
Periodic solutions of differential algebraic equations with time delays: computation and stability analysis. Zbl 1106.34045
Luzyanina, Tatyana; Roose, Dirk
2006
Damping factors for the gap-tooth scheme. Zbl 1143.65367
Samaey, Giovanni; Kevrekidid, Ioannis G.; Roose, Dirk
2004
Software for stability and bifurcation analysis of delay differential equations and applications to stabilization. Zbl 1065.34077
Roose, Dirk; Luzyanina, Tatyana; Engelborghs, Koen; Michiels, Wim
2004
Numerical stability analysis of steady state solutions of integral equations with distributed delays. Zbl 1052.65119
Luzyanina, T.; Roose, D.; Engelborghs, K.
2004
DDE-BIFTOOL, software for bifurcation analysis of delay differential equations: Functionality and applications. Zbl 1024.65509
Engelborghs, K.; Luzyanina, T.; Roose, D.
2002
Run-time load balancing support for a parallel multiblock Euler/Navier- Stokes code with adaptive refinement on distributed memory computers. Zbl 0807.76056
De Keyser, Johan; Lust, Kurt; Roose, Dirk
1994
Bifurcation analysis of double Takens-Bogdanov points of nonlinear equations with a $$\mathbb{Z}_ 2$$-symmetry. Zbl 0885.58079
Spence, Alastair; Wu, Wei; Roose, Dirk; de Dier, Bart
1993
The Argonne/GMD macros in FORTRAN for portable parallel programming and their implementation on the Intel iPSC/2. Zbl 0703.68026
Bomans, L.; Roose, D.; Hempel, R.
1990
High-order asymptotic-preserving projective integration schemes for kinetic equations. Zbl 1328.65192
Lafitte, Pauline; Lejon, Annelies; Melis, Ward; Roose, Dirk; Samaey, Giovanni
2015
Coping with complexity: Model reduction and data analysis. Selected papers based on the presentations at the international research workshop, Ambleside, UK, August 31–September 4, 2009. Zbl 1202.00097
Gorban, Alexander N. (ed.); Roose, Dirk (ed.)
2011
Lifting in equation-free methods for molecular dynamics simulations of dense fluids. Zbl 1350.82006
Frederix, Yves; Samaey, Giovanni; Vandekerckhove, Christophe; Li, Ting; Nies, Erik; Roose, Dirk
2009
Newton-Krylov solvers for the equation-free computation of coarse traveling waves. Zbl 1194.76234
Samaey, Giovanni; Vanroose, Wim; Roose, Dirk; Kevrekidis, Ioannis G.
2008
Acceleration of lattice Boltzmann models through state extrapolation: a reaction-diffusion example. Zbl 1155.65085
Vandekerckhove, Christophe; van Leemput, Pieter; Roose, Dirk
2008
Numerical and analytical spatial coupling of a lattice Boltzmann model and a partial differential equation. Zbl 1141.82333
van Leemput, P.; Vanroose, W.; Roose, D.
2006
Modelling nonlinear optics phenomena using delay differential equations. Zbl 1105.34334
Erneux, T.; Larger, L.; Green, K.; Roose, D.
2005
Robustness of nonlinear delay equations with respect to input perturbations: a trajectory-based approach. Zbl 1069.93037
Moreau, Luc; Michiels, Wim; Aeyels, Dirk; Roose, Dirk
2002
A computer-assisted study of pulse dynamics in anisotropic media. Zbl 0997.35032
Krishnan, J.; Engelborghs, K.; Bär, M.; Lust, K.; Roose, D.; Kevrekidis, I. G.
2001
Integer wavelet transforms using the lifting scheme. Zbl 1061.42503
Uytterhoeven, Geert; Roose, Dirk; Bultheel, Adhemar
1999
A bow shock flow containing (almost) all types of (‘exotic’) MHD discontinuities. Zbl 0937.76040
De Sterck, H.; Deconinck, H.; Poedts, S.; Roose, D.
1999
Wavelets and Markov random fields in a Bayesian framework. Zbl 0828.62086
Malfait, Maurits; Roose, Dirk
1995
Multigrid with solution-adaptive irregular grids on distributed memory computers. Zbl 0799.65122
De Keyser, J.; Roose, D.
1992
Parallel Gaussian elimination, iPSC/2 hypercube versus a transputer network. Zbl 0734.65013
Beernaert, L.; Roose, D.; Van Praet, S.; de Groen, P.
1991
Determination of bifurcation points and catastrophes for the Brusselator model with two parameters. Zbl 1394.80014
De Dier, Bart; Roose, Dirk
1987
High-order asymptotic-preserving projective integration schemes for kinetic equations. Zbl 1328.65192
Lafitte, Pauline; Lejon, Annelies; Melis, Ward; Roose, Dirk; Samaey, Giovanni
2015
Dynamic particle refinement in SPH: application to free surface flow and non-cohesive soil simulations. Zbl 1311.76113
Reyes López, Yaidel; Roose, Dirk; Recarey Morfa, Carlos
2013
Estimation of cell proliferation dynamics using CFSE data. Zbl 1209.92012
Banks, H. T.; Sutton, Karyn L.; Thompson, W. Clayton; Bocharov, Gennady; Roose, Dirk
2011
Coping with complexity: Model reduction and data analysis. Selected papers based on the presentations at the international research workshop, Ambleside, UK, August 31–September 4, 2009. Zbl 1202.00097
Gorban, Alexander N. (ed.); Roose, Dirk (ed.)
2011
An efficient Newton-Krylov implementation of the constrained runs scheme for initializing on a slow manifold. Zbl 1203.65154
Vandekerckhove, Christophe; Kevrekidis, Ioannis; Roose, Dirk
2009
Distributed parameter identification for a label-structured cell population dynamics model using CFSE histogram time-series data. Zbl 1231.92027
Luzyanina, Tatyana; Roose, Dirk; Bocharov, Gennady
2009
Lifting in equation-free methods for molecular dynamics simulations of dense fluids. Zbl 1350.82006
Frederix, Yves; Samaey, Giovanni; Vandekerckhove, Christophe; Li, Ting; Nies, Erik; Roose, Dirk
2009
Mesoscale analysis of the equation-free constrained runs initialization scheme. Zbl 1248.76121
Van Leemput, Pieter; Vanroose, Wim; Roose, Dirk
2008
Efficient computation of characteristic roots of delay differential equations using LMS methods. Zbl 1135.65349
Verheyden, Koen; Luzyanina, Tatyana; Roose, Dirk
2008
Accuracy analysis of acceleration schemes for stiff multiscale problems. Zbl 1134.65044
Vandekerckhove, Christophe; Roose, Dirk
2008
Accuracy and stability of the coarse time-stepper for a lattice Boltzmann model. Zbl 1221.76166
Vandekerckhove, Christophe; van Leemput, Pieter; Roose, Dirk
2008
Newton-Krylov solvers for the equation-free computation of coarse traveling waves. Zbl 1194.76234
Samaey, Giovanni; Vanroose, Wim; Roose, Dirk; Kevrekidis, Ioannis G.
2008
Acceleration of lattice Boltzmann models through state extrapolation: a reaction-diffusion example. Zbl 1155.65085
Vandekerckhove, Christophe; van Leemput, Pieter; Roose, Dirk
2008
Continuation and bifurcation analysis of delay differential equations. Zbl 1132.34001
Roose, Dirk; Szalai, Robert
2007
Computational analysis of CFSE proliferation assay. Zbl 1113.92021
Luzyanina, Tatyana; Mrusek, Sonja; Edwards, John T.; Roose, Dirk; Ehl, Stephan; Bocharov, Gennady
2007
Numerical stability analysis of an acceleration scheme for step size constrained time integrators. Zbl 1108.37054
Vandekerckhove, Christophe; Roose, Dirk; Lust, Kurt
2007
Accuracy of hybrid lattice Boltzmann/finite difference schemes for reaction-diffusion systems. Zbl 1151.76559
Van Leemput, Pieter; Vandekerckhove, Christophe; Vanroose, Wim; Roose, Dirk
2007
Patch dynamics with buffers for homogenization problems. Zbl 1092.65074
Samaey, Giovanni; Kevrekidis, Ioannis G.; Roose, Dirk
2006
Periodic solutions of differential algebraic equations with time delays: computation and stability analysis. Zbl 1106.34045
Luzyanina, Tatyana; Roose, Dirk
2006
Numerical and analytical spatial coupling of a lattice Boltzmann model and a partial differential equation. Zbl 1141.82333
van Leemput, P.; Vanroose, W.; Roose, D.
2006
The gap-tooth scheme for homogenization problems. Zbl 1092.35009
Samaey, Giovanni; Roose, Dirk; Kevrekidis, Ioannis G.
2005
Numerical bifurcation analysis of immunological models with time delays. Zbl 1072.92025
Luzyanina, Tatyana; Roose, Dirk; Bocharov, Gennady
2005
Combining the gap-tooth scheme with projective integration: Patch dynamics. Zbl 1117.65353
Samaey, Giovanni; Roose, Dirk; Kevrekidis, Ioannis G.
2005
Modelling nonlinear optics phenomena using delay differential equations. Zbl 1105.34334
Erneux, T.; Larger, L.; Green, K.; Roose, D.
2005
The effect of approximating distributed delay control laws on stability. Zbl 1134.93392
Michiels, Wim; Mondié, Sabine; Roose, Dirk; Dambrine, Michel
2004
Equations with distributed delays: bifurcation analysis using computational tools for discrete delay equations. Zbl 1064.34057
Luzyanina, Tatyana; Roose, Dirk
2004
FastDer++, efficient automatic differentiation for non-linear PDE solvers. Zbl 1049.65109
Tijskens, E.; Roose, D.; Ramon, H.; De Baerdemaeker, J.
2004
Damping factors for the gap-tooth scheme. Zbl 1143.65367
Samaey, Giovanni; Kevrekidid, Ioannis G.; Roose, Dirk
2004
Software for stability and bifurcation analysis of delay differential equations and applications to stabilization. Zbl 1065.34077
Roose, Dirk; Luzyanina, Tatyana; Engelborghs, Koen; Michiels, Wim
2004
Numerical stability analysis of steady state solutions of integral equations with distributed delays. Zbl 1052.65119
Luzyanina, T.; Roose, D.; Engelborghs, K.
2004
Computing stability of differential equations with bounded distributed delays. Zbl 1041.65110
Luzyanina, T.; Engelborghs, K.; Roose, D.
2003
An eigenvalue based approach for the robust stabilization of linear time-delay systems. Zbl 1039.93059
Michiels, W.; Roose, D.
2003
Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL. Zbl 1070.65556
Engelborghs, K.; Luzyanina, T.; Roose, D.
2002
Continuous pole placement for delay equations. Zbl 1034.93026
Michiels, W.; Engelborghs, K.; Vansevenant, P.; Roose, D.
2002
On stability of LMS methods and characteristic roots of delay differential equations. Zbl 1021.65040
Engelborghs, K.; Roose, D.
2002
Numerical computation of connecting orbits in delay differential equations. Zbl 1008.65096
Samaey, Giovanni; Engelborghs, Koen; Roose, Dirk
2002
Automatic differentiation for solving nonlinear partial differential equations: an efficient operator overloading approach. Zbl 1008.65087
Tijskens, E.; Roose, D.; Ramon, H.; De Baerdemaeker, J.
2002
DDE-BIFTOOL, software for bifurcation analysis of delay differential equations: Functionality and applications. Zbl 1024.65509
Engelborghs, K.; Luzyanina, T.; Roose, D.
2002
Robustness of nonlinear delay equations with respect to input perturbations: a trajectory-based approach. Zbl 1069.93037
Moreau, Luc; Michiels, Wim; Aeyels, Dirk; Roose, Dirk
2002
Limitations of a class of stabilization methods for delay systems. Zbl 1056.93607
Engelborghs, K.; Dambrine, M.; Roose, D.
2001
Numerical bifurcation analysis of delay differential equations arising from physiological modeling. Zbl 0983.65136
Engelborghs, K.; Lemaire, V.; Bélair, J.; Roose, D.
2001
Sensitivity to infinitesimal delays in neutral equations. Zbl 1016.34079
Michiels, W.; Engelborghs, K.; Roose, D.; Dochain, D.
2001
Numerical bifurcation analysis of differential equations with state-dependent delay. Zbl 1090.65551
Luzyanina, Tatyana; Engelborghs, Koen; Roose, Dirk
2001
Stability of perturbed delay differential equations and stabilization of nonlinear cascade systems. Zbl 1002.34069
Michiels, W.; Sepulchre, R.; Roose, D.
2001
A computer-assisted study of pulse dynamics in anisotropic media. Zbl 0997.35032
Krishnan, J.; Engelborghs, K.; Bär, M.; Lust, K.; Roose, D.; Kevrekidis, I. G.
2001
Collocation methods for the computation of periodic solutions of delay differential equations. Zbl 0981.65082
Engelborghs, K.; Luzyanina, T.; in ’t Hout, K. J.; Roose, D.
2000
Numerical bifurcation analysis of delay differential equations. Zbl 0970.65090
Engelborghs, Koen; Luzyanina, Tatyana; Roose, Dirk
2000
Dynamic load-balancing of finite element applications with the DRAMA library. Zbl 1076.65534
Basermann, A.; Clinckemaillie, J.; Coupez, T.; Fingberg, J.; Digonnet, H.; Ducloux, R.; Gratien, J.-M.; Hartmann, U.; Lonsdale, G.; Maerten, B.; Roose, D.; Walshaw, C.
2000
Some collocation results on computing periodic solutions of delay differential equations. Zbl 0965.65099
Luzyanina, T.; Engelborghs, K.; Roose, D.
2000
Computation and bifurcation analysis of periodic solutions of large-scale systems. Zbl 0958.65141
Lust, Kurt; Roose, Dirk
2000
On numerical methods for bifurcation analysis of delay differential equations. Zbl 0963.65080
Engelborghs, K.; Luzyanina, T.; Roose, D.
2000
Numerical computation of stability and detection of Hopf bifurcations of steady state solutions of delay differential equations. Zbl 0929.65054
Engelborghs, Koen; Roose, Dirk
1999
Ritz and harmonic Ritz values and the convergence of FOM and GMRES. Zbl 0983.65034
Goossens, Serge; Roose, Dirk
1999
Direct computation of period doubling bifurcation points of large-scale systems of ODEs using a Newton-Picard method. Zbl 0944.65133
Engelborghs, K.; Lust, K.; Roose, D.
1999
Smoothness loss of periodic solutions of a neutral functional differential equation: On a bifurcation of the essential spectrum. Zbl 0936.34057
Engelborghs, Koen; Roose, Dirk
1999
Integer wavelet transforms using the lifting scheme. Zbl 1061.42503
Uytterhoeven, Geert; Roose, Dirk; Bultheel, Adhemar
1999
A bow shock flow containing (almost) all types of (‘exotic’) MHD discontinuities. Zbl 0937.76040
De Sterck, H.; Deconinck, H.; Poedts, S.; Roose, D.
1999
An adaptive Newton-Picard algorithm with subspace iteration for computing periodic solutions. Zbl 0915.65088
Lust, K.; Roose, D.
1998
Bifurcation analysis of periodic solutions to neutral functional differential equations: A case study. Zbl 0941.34070
Engelborghs, Koen; Roose, Dirk; Luzyanina, Tatyana
1998
Computation, continuation and bifurcation analysis of periodic solutions of delay differential equations. Zbl 0910.34057
Luzyanina, Tatyana; Engelborghs, Koen; Lust, Kurt; Roose, Dirk
1997
The restarted Arnoldi method applied to iterative linear system solvers for the computation of rightmost eigenvalues. Zbl 0872.65038
Meerbergen, Karl; Roose, Dirk
1997
Matrix transformations for computing rightmost eigenvalues of large sparse non-symmetric eigenvalue problems. Zbl 0856.65033
Meerbergen, Karl; Roose, Dirk
1996
Numerical stability analysis and computation of Hopf bifurcation points for delay differential equations. Zbl 0855.65092
Luzyanina, Tatyana; Roose, Dirk
1996
Newton-Picard methods with subspace iteration for computing periodic solutions of partial differential equations. Zbl 0997.65537
Lust, K.; Roose, D.
1996
Dynamics and bifurcations of two coupled neural oscillators with different connection types. Zbl 0836.92004
Borisyuk, Galina N.; Borisyuk, Roman M.; Khibnik, Alexander I.; Roose, Dirk
1995
A Newton-Picard shooting method for computing periodic solutions of large-scale dynamical systems. Zbl 1080.65542
Roose, D.; Lust, K.; Champneys, A.; Spence, A.
1995
An improved spectral bisection algorithm and its application to dynamic load balancing. Zbl 0875.68257
Van Driessche, R.; Roose, D.
1995
Wavelets and Markov random fields in a Bayesian framework. Zbl 0828.62086
Malfait, Maurits; Roose, Dirk
1995
Shift-invert and Cayley transforms for detection of rightmost eigenvalues of nonsymmetric matrices. Zbl 0814.65037
Meerbergen, K.; Spence, A.; Roose, D.
1994
Run-time load balancing support for a parallel multiblock Euler/Navier- Stokes code with adaptive refinement on distributed memory computers. Zbl 0807.76056
De Keyser, Johan; Lust, Kurt; Roose, Dirk
1994
On periodic orbits and homoclinic bifurcations in Chua’s circuit with a smooth nonlinearity. Zbl 0870.58078
Khibnik, Alexander I.; Roose, Dirk; Chua, Leon O.
1993
Bifurcation analysis of double Takens-Bogdanov points of nonlinear equations with a $$\mathbb{Z}_ 2$$-symmetry. Zbl 0885.58079
Spence, Alastair; Wu, Wei; Roose, Dirk; de Dier, Bart
1993
Numerical bifurcation analysis of a model of coupled neural oscillators. Zbl 0755.92003
Khibnik, Alexander I.; Borisyuk, Roman M.; Roose, Dirk
1992
Multigrid with solution-adaptive irregular grids on distributed memory computers. Zbl 0799.65122
De Keyser, J.; Roose, D.
1992
Parallel Gaussian elimination, iPSC/2 hypercube versus a transputer network. Zbl 0734.65013
Beernaert, L.; Roose, D.; Van Praet, S.; de Groen, P.
1991
Aspects of continuation software. Zbl 0711.65037
Rheinboldt, W. C.; Roose, D.; Seydel, R.
1990
Continuation and bifurcations: numerical techniques and applications. Proceedings of the NATO advanced research workshop, Leuven, Belgium, September 18-22, 1989. Zbl 0701.00021
Roose, Dirk (ed.); De Dier, Bart (ed.); Spence, Alastair (ed.)
1990
Continuation techniques and bifurcation problems. Reprint from the ’Journal of Computational and Applied Mathematics, 26, No. 1/2 (1989)’. Zbl 0681.00007
Mittelmann, Hans D. (ed.); Roose, Dirk (ed.)
1990
The Argonne/GMD macros in FORTRAN for portable parallel programming and their implementation on the Intel iPSC/2. Zbl 0703.68026
Bomans, L.; Roose, D.; Hempel, R.
1990
Numerical determination of an emanating branch of Hopf bifurcation points in a two-parameter problem. Zbl 0677.65090
Roose, Dirk; de Dier, Bart
1989
Interaction between fold and Hopf curves leads to new bifurcation phenomena. Zbl 0689.65034
de Dier, Bart; Roose, Dirk; van Rompay, Paul
1989
The construction of cubature formulae for a family of integrals: A bifurcation problem. Zbl 0668.65018
Verlinden, P.; Cools, R.; Roose, D.; Haegemans, Ann
1988
Numerical computation of origins for Hopf bifurcation in a two-parameter problem. Zbl 0645.65046
Roose, D.
1987
Determination of bifurcation points and catastrophes for the Brusselator model with two parameters. Zbl 1394.80014
De Dier, Bart; Roose, Dirk
1987
A direct method for the computation of Hopf bifurcation points. Zbl 0592.65080
Roose, D.; Hlavaček, V.
1985
An algorithm for the computation of Hopf bifurcation points in comparison with other methods. Zbl 0577.65092
Roose, D.
1985
Numerical computation of nonsimple turning points and cusps. Zbl 0543.65040
Roose, Dirk; Piessens, Robert
1985
Direct methods for the computation of a nonsimple turning point corresponding to a cusp. Zbl 0539.65042
Roose, D.; Caluwaerts, R.
1984
Numerical computation of Hopf bifurcation points for parabolic diffusion- reaction differential equations. Zbl 0548.35012
Roose, D.; Hlavacek, V.
1983
all top 5

#### Cited by 1,304 Authors

 28 Roose, Dirk 20 Michiels, Wim 13 Kevrekidis, Ioannis George 13 Luzyanina, Tatyana 13 Niculescu, Silviu-Iulian 12 Breda, Dimitri 12 Engelborghs, Koen 12 Krauskopf, Bernd 8 Samaey, Giovanni 7 Banks, Harvey Thomas 7 Bocharov, Gennady A. 6 Flores, Kevin B. 6 Green, Kirk 6 Kharitonov, Vladimir Leonidovich 6 Olgac, Nejat M. 6 Wei, Junjie 5 Ford, Neville J. 5 Laing, Carlo R. 5 Maset, Stefano 5 Net, Marta 5 Orosz, Gábor 5 Vermiglio, Rossana 5 Vyhlídal, Tomáš 4 Bunder, J. E. 4 Butcher, Eric A. 4 Doumic, Marie 4 Erneux, Thomas 4 Hu, Guangda 4 Insperger, Tamás 4 Khasawneh, Firas A. 4 Kuznetsov, Yuri Alexandrovich 4 Lust, Kurt 4 Mann, Brian P. 4 Meerbergen, Karl 4 Mondié, Sabine 4 Niu, Ben 4 Pönisch, Gerd 4 Roberts, Anthony John 4 Shu, Hongying 4 Siettos, Constantinos I. 4 Spence, Alastair 4 Stépán, Gábor 4 van Gils, Stephan A. 4 Velasco-Villa, Martín 4 Wu, Wei 4 Xu, Jian 4 Zhang, Chengjian 3 Aguirre, Luis Antonio 3 Angelova, Maia N. 3 Ashwin, Peter 3 Baker, Christopher T. H. 3 Barton, David A. W. 3 Boussaada, Islam 3 Chen, Guanrong 3 Choi, Ho-Lim 3 Cochelin, Bruno 3 Cong, Yuhao 3 Coombes, Stephen 3 De Baerdemaeker, Josse 3 De Cesare, Luigi 3 Elman, Howard C. 3 Fenzi, Luca 3 Gao, Qingbin 3 Gilsinn, David E. 3 Guo, Yuxiao 3 Higham, Desmond J. 3 Hu, Haiyan 3 Huang, Lin 3 Humphries, Antony R. 3 Janssens, Sebastiaan G. 3 Keane, Andrew 3 Kuang, Yang 3 le Touzé, David 3 Li, Jiaxu 3 Li, Xuguang 3 Licandro, Omar 3 Meijer, Hil G. E. 3 Melchor-Aguilar, Daniel 3 Moret, Igor 3 Morgan, Ronald B. 3 Oger, Guillaume 3 Páez Chávez, Joseph Nikolai 3 Pei, Lijun 3 Rutter, Erica M. 3 Schöll, Eckehard 3 Sipahi, Rifat 3 Sportelli, Mario C. 3 Su, Huan 3 Thompson, W. Clayton 3 Tijskens, Engelbert 3 Van Leemput, Pieter 3 Vandekerckhove, Christophe 3 Vandewalle, Stefan G. 3 Vanroose, Wim 3 Verheyden, Koen 3 Visser, Sid 3 Wang, Jinzhi 3 Wilson, Richard Eddie 3 Wu, Jianhong 3 Yi, Lijun ...and 1,204 more Authors
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#### Cited in 159 Serials

 58 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 43 Journal of Computational and Applied Mathematics 26 Automatica 24 Physica D 22 Applied Mathematics and Computation 21 Journal of Computational Physics 17 Applied Numerical Mathematics 16 Chaos 14 Journal of Mathematical Biology 14 Nonlinear Dynamics 13 Computers and Fluids 12 Computer Methods in Applied Mechanics and Engineering 12 Systems & Control Letters 11 Linear Algebra and its Applications 10 Chaos, Solitons and Fractals 10 SIAM Journal on Applied Dynamical Systems 9 Biological Cybernetics 9 International Journal of Control 8 SIAM Journal on Matrix Analysis and Applications 8 Journal of Theoretical Biology 7 Computers & Mathematics with Applications 7 Journal of the Franklin Institute 7 Mathematical Biosciences 7 Bulletin of Mathematical Biology 7 Journal of Nonlinear Science 7 Mathematical Problems in Engineering 7 Communications in Nonlinear Science and Numerical Simulation 6 Journal of Fluid Mechanics 6 Computing 6 Applied Mathematical Modelling 6 SIAM Journal on Scientific Computing 6 Journal of Biological Dynamics 5 BIT 5 International Journal for Numerical Methods in Engineering 5 Numerische Mathematik 5 SIAM Journal on Numerical Analysis 5 Automation and Remote Control 5 International Journal of Computer Mathematics 5 International Journal of Robust and Nonlinear Control 5 Engineering Analysis with Boundary Elements 5 The Journal of Mathematical Neuroscience 4 Mathematics and Computers in Simulation 4 SIAM Journal on Control and Optimization 4 Applied Mathematics Letters 4 Neural Networks 4 Numerical Linear Algebra with Applications 4 Discrete and Continuous Dynamical Systems. Series B 4 International Journal of Systems Science. Principles and Applications of Systems and Integration 3 International Journal for Numerical Methods in Fluids 3 International Journal of Systems Science 3 Journal of Differential Equations 3 Journal of Economic Theory 3 Journal of Scientific Computing 3 Numerical Algorithms 3 Journal of Vibration and Control 3 Advances in Difference Equations 2 International Journal of Solids and Structures 2 Nonlinearity 2 Mathematics of Computation 2 The Annals of Statistics 2 Kybernetika 2 Mathematical and Computer Modelling 2 MCSS. Mathematics of Control, Signals, and Systems 2 Neural Computation 2 Physics of Fluids 2 Computational and Applied Mathematics 2 Complexity 2 European Journal of Control 2 Differential Equations and Dynamical Systems 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Optimization Methods & Software 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Discrete Dynamics in Nature and Society 2 Engineering Computations 2 Combustion Theory and Modelling 2 The ANZIAM Journal 2 Differential Equations 2 Nonlinear Analysis. Real World Applications 2 Dynamical Systems 2 International Journal of Computational Methods 2 Mathematical Biosciences and Engineering 2 Frontiers of Mathematics in China 2 Journal of Physics A: Mathematical and Theoretical 2 Discrete and Continuous Dynamical Systems. Series S 2 Numerical Algebra, Control and Optimization 2 Journal of Computational Dynamics 2 SIAM/ASA Journal on Uncertainty Quantification 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Acta Mechanica 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Physics Letters. A 1 Physics of Fluids, A 1 International Journal of Circuit Theory and Applications 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII ...and 59 more Serials
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#### Cited in 40 Fields

 254 Numerical analysis (65-XX) 244 Ordinary differential equations (34-XX) 143 Systems theory; control (93-XX) 141 Dynamical systems and ergodic theory (37-XX) 131 Biology and other natural sciences (92-XX) 78 Fluid mechanics (76-XX) 58 Partial differential equations (35-XX) 28 Mechanics of deformable solids (74-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Mechanics of particles and systems (70-XX) 15 Integral equations (45-XX) 15 Operator theory (47-XX) 15 Information and communication theory, circuits (94-XX) 14 Computer science (68-XX) 14 Operations research, mathematical programming (90-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Statistics (62-XX) 12 Optics, electromagnetic theory (78-XX) 12 Classical thermodynamics, heat transfer (80-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Probability theory and stochastic processes (60-XX) 7 Combinatorics (05-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 3 Functions of a complex variable (30-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX)