Dirk Roose

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All published works

Action	Title	Year	Authors
+	Selecting cells in a raster database for maximal impact intervention in the presence of spatial interaction: Computational complexity of a Multiple vs. a Single Flow Direction Method	2022	Grethell Castillo-Reyes René Estrella Karen Gabriels Jos Van Orshoven Floris Abrams Dirk Roose
+ PDF Chat	A fast and scalable bottom-left-fill algorithm to solve nesting problems using a semi-discrete representation	2021	Sahar Chehrazad Dirk Roose Tony Wauters
+	A fast and scalable algorithm to solve nesting problems using a semi-discrete representation.	2021	Sahar Chehrazad Dirk Roose Tony Wauters
+	A fast and scalable bottom-left-fill algorithm to solve nesting problems using a semi-discrete representation.	2021	Sahar Chehrazad Dirk Roose Tony Wauters
+	Biogeography-Based Optimization of RC structures including static soil-structure interaction	2021	Iván Negrin Dirk Roose Ernesto Chagoyén Méndez Geert Lombaert
+	Parameter Tuning Strategies for Metaheuristic Methods Applied to Discrete Optimization of Structural Design	2021	Iván Negrin Dirk Roose Ernesto Chagoyén Méndez
+	Biogeography-Based Optimization of RC structures including static soil-structure interaction	2021	Iván Negrin Dirk Roose Ernesto Chagoyén Méndez Geert Lombaert
+	A fast and scalable bottom-left-fill algorithm to solve nesting problems using a semi-discrete representation	2021	Sahar Chehrazad Dirk Roose Tony Wauters
+ PDF Chat	Two particle-in-grid realisations on spacetrees	2016	Tobias Weinzierl Bart Verleye Pierre Henri Dirk Roose
+	Variance reduction for a multiscale tumor growth simulation	2015	Annelies Lejon Dirk Roose Giovanni Samaey
+	High-Order Asymptotic-Preserving Projective Integration Schemes for Kinetic Equations	2014	Pauline Lafitte Annelies Lejon Ward Melis Dirk Roose Giovanni Samaey
+	DDE-BIFTOOL Manual - Bifurcation analysis of delay differential equations	2014	Jan Sieber Koen Engelborghs Tatyana Luzyanina Giovanni Samaey Dirk Roose
+	Multi-threaded Nested Filtering Factorization Preconditioner	2013	Pawan Kumar Karl Meerbergen Dirk Roose
+ PDF Chat	An analysis of noise propagation in the multiscale simulation of coarse Fokker-Planck equations	2010	Yves Frederix Giovanni Samaey Dirk Roose
+ PDF Chat	Estimation of Cell Proliferation Dynamics Using CFSE Data	2010	H. T. Banks Karyn L. Sutton W. Clayton Thompson Gennady Bocharov Dirk Roose Tim Schenkel Andreas Meyerhans
+	An approach for both the computation of coarse-scale steady state solutions and initialization on a slow manifold	2010	Christophe Vandekerckhove Benjamin E. Sonday Alexei G. Makeev Dirk Roose Ioannis G. Kevrekidis
+	Explicit and Implicit Parallel Upwind Monotone Residual Distribution Solver for the Time Dependent Ideal 3D Magnetohydrodynamic Equations on Unstructured Grids	2009	Árpád Csı́k Hans De Sterck Mario Ricchiuto Stefaan Poedts H. Deconinck Dirk Roose
+	Mathematical models and parameter estimation for heterogeneous cell population dynamics	2008	Gennady Bocharov Tatyana Luzyanina Dirk Roose Hagit Alon Martin Meier‐Schellersheim Zvi Grossman
+	Equation‐free methods for molecular dynamics: a lifting procedure	2007	Yves Frederix Giovanni Samaey Christophe Vandekerckhove Dirk Roose
+ PDF Chat	Numerical modelling of label-structured cell population growth using CFSE distribution data	2007	Tatyana Luzyanina Dirk Roose Tim Schenkel Martina Sester Stephan Ehl Andreas Meyerhans Gennady Bocharov
+	Efficient computation of characteristic roots of delay differential equations using LMS methods	2007	Koen Verheyden Tatyana Luzyanina Dirk Roose
+	Efficient and reliable stability analysis of solutions of delay differential equations	2006	Koen Verheyden Tatyana Luzyanina Dirk Roose
+	Coarse-grained computation of traveling waves of lattice Boltzmann models with Newton-Krylov methods	2006	Giovanni Samaey Wim Vanroose Dirk Roose I.G. Kevrekidis
+	Accuracy Analysis of Time Integration Schemes for Stiff Multiscale Problems	2006	Christophe Vandekerckhove Dirk Roose
+ PDF Chat	Numerical stability analysis of an acceleration scheme for step size constrained time integrators	2006	Christophe Vandekerckhove Dirk Roose Kurt Lust
+	PERIODIC SOLUTIONS OF DIFFERENTIAL ALGEBRAIC EQUATIONS WITH TIME DELAYS: COMPUTATION AND STABILITY ANALYSIS	2006	Tatyana Luzyanina Dirk Roose
+	Efficient time integration methods for multiscale problems	2006	Christophe Vandekerckhove Dirk Roose
+	Coarse-grained computation of traveling waves of lattice Boltzmann models with Newton-Krylov solvers	2006	Giovanni Samaey Wim Vanroose Dirk Roose Ioannis G. Kevrekidis
+ PDF Chat	Patch dynamics with buffers for homogenization problems	2005	Giovanni Samaey Ioannis G. Kevrekidis Dirk Roose
+	An acceleration scheme for step size constrained time integrators	2005	Christophe Vandekerckhove Dirk Roose Kurt Lust
+	Numerical bifurcation analysis of immunological models with time delays	2005	Tatyana Luzyanina Dirk Roose Gennady Bocharov
+	MODELLING NONLINEAR OPTICS PHENOMENA USING DELAY DIFFERENTIAL EQUATIONS	2005	Thomas Erneux Laurent Larger K. GREEN Dirk Roose
+	COMPUTING CONNECTING ORBITS IN DELAY DIFFERENTIAL EQUATIONS USING DDE-BIFTOOL	2005	Giovanni Samaey Dirk Roose
+	APPROXIMATION OF THE CHARACTERISTIC ROOTS OF INTEGRAL EQUATIONS WITH DISTRIBUTED DELAYS	2005	Tatyana Luzyanina Dirk Roose
+	Computation and Stability Analysis of Solutions of Periodic Delay Differential Algebraic Equations	2005	Koen Verheyden Kurt Lust Dirk Roose
+ PDF Chat	The Gap-Tooth Scheme for Homogenization Problems	2005	Giovanni Samaey Dirk Roose Ioannis G. Kevrekidis
+	Numerical local stability analysis of differential algebraic equations with time delays	2005	Tatyana Luzyanina Dirk Roose
+	Patch Dynamics with buffers for multiscale problems	2005	Giovanni Samaey Dirk Roose I. G. Kevrekidis
+	Efficient numerical stability analysis of delay equations: a spectral method	2005	Koen Verheyden Dirk Roose
+	Equations with distributed delays: bifurcation analysis using computational tools for discrete delay equations	2004	Tatyana Luzyanina Dirk Roose
+	Numerical stability analysis of steady state solutions of integral equations with distributed delays	2004	Tatyana Luzyanina Dirk Roose Koen Engelborghs
+	The Effect of Approximating Distributed Delay Control Laws on Stability	2004	Wim Michiels Sabine Mondié Dirk Roose Michel Dambrine
+	Efficient numerical stability analysis of delay equations: two time integration approaches	2004	Koen Verheyden Dirk Roose
+ PDF Chat	Damping factors for the gap-tooth scheme	2004	Giovanni Samaey Ioannis G. Kevrekidis Dirk Roose
+	Location and numerical preservation of characteristic roots of delay differential equations by LMS methods	2004	Koen Verheyden Tatyana Luzyanina Dirk Roose
+	Patch dynamics with buffers for homogenization problems	2004	Giovanni Samaey Ioannis G. Kevrekidis Dirk Roose
+	Software for Stability and Bifurcation Analysis of Delay Differential Equations and Applications to Stabilization	2004	Dirk Roose Tatyana Luzyanina Koen Engelborghs Wim Michiels
+	FastDer++, efficient automatic differentiation for non-linear PDE solvers	2003	E. Tijskens Dirk Roose Herman Ramón Josse De Baerdemaeker
+	Software for computing unstable manifolds in delay differential equations	2003	K. GREEN Bernd Krauskopf Dirk Roose
+	Time-delay compensation in unstable plants using delayed state feedback	2003	Wim Michiels Dirk Roose
+	None	2003	Tatyana Luzyanina Koen Engelborghs Dirk Roose
+	An eigenvalue based approach for the robust stabilization of linear time-delay systems	2003	Wim Michiels Dirk Roose
+	Numerical stability analysis of equations with bounded distributed delays	2003	Tatyana Luzyanina Koen Engelborghs Dirk Roose
+	DDE-BIFTOOL: a software package for the bifurcation analysis of delay differential equations	2003	Koen Engelborghs Tatyana Luzyanina Giovanni Samaey Dirk Roose
+	Equations with distributed delays: bifurcation analysis using computational tools for discrete delay equations	2003	Tatyana Luzyanina Dirk Roose
+	The gap-tooth scheme for homogenization problems	2003	Giovanni Samaey Dirk Roose Ioannis G. Kevrekidis
+	Damping factors for the gap-tooth scheme	2003	Giovanni Samaey Ioannis G. Kevrekidis Dirk Roose
+	LIMITATIONS OF DELAYED STATE FEEDBACK: A NUMERICAL STUDY	2002	Wim Michiels Dirk Roose
+ PDF Chat	Continuous pole placement for delay equations	2002	Wim Michiels Koen Engelborghs P. Vansevenant Dirk Roose
+	Sensitivity to Infinitesimal Delays in Neutral Equations	2002	Wim Michiels Koen Engelborghs Dirk Roose Denis Dochain
+	On Stability of LMS Methods and Characteristic Roots of Delay Differential Equations	2002	Koen Engelborghs Dirk Roose
+	Continuous pole placement for delay equations 1	2002	Wim Michiels Koen Engelborghs P. Vansevenant Dirk Roose
+	DDE-BIFTOOL: a software package for the analysis of delay differential equations	2002	Koen Engelborghs Tatyana Luzyanina Giovanni Samaey Dirk Roose
+	None	2002	E. Tijskens Dirk Roose Herman Ramón Josse De Baerdemaeker
+	DDE-BIFTOOL, software for bifurcation analysis of delay differential equations: functionality and applications	2002	Koen Engelborghs Tatyana Luzyanina Dirk Roose
+	Global stabilization of multiple integrators with time-delay and input constraints 1	2001	Wim Michiels Dirk Roose
+	A numerical and analytical study of Floquet multipliers of periodic solutions near a homoclinic orbit	2001	Zuochang Zheng Kurt Lust Dirk Roose
+	Sensitivity analysis of mathematical models for bacterial growth	2001	Caroline De Meester Dirk Roose Tatyana Luzyanina
+	Sensitivity to perturbations in variable structure systems	2001	Wim Michiels Dirk Roose
+	Numerical bifurcation analysis of delay differential equations arising from physiological modeling	2001	Koen Engelborghs Vincent Lemaire Jacques Bélair Dirk Roose
+	NUMERICAL BIFURCATION ANALYSIS OF DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY	2001	Tatyana Luzyanina Koen Engelborghs Dirk Roose
+	Collocation Methods for the Computation of Periodic Solutions of Delay Differential Equations	2001	Koen Engelborghs Tatyana Luzyanina Karel J. in ’t Hout Dirk Roose
+	Limitations of a class of stabilization methods for delay systems	2001	Koen Engelborghs Michel Dambrine Dirk Roose
+	DDE-BIFTOOL, Software for bifurations analysis of delay differential equations: functionality and applications.	2001	Koen Engelborghs Tatyana Luzyanina Dirk Roose
+	Computation of connecting orbits in delay differential equations	2001	Giovanni Samaey Koen Engelborghs Dirk Roose
+	Numerical stability and bifurcation analysis of delay differential equations: algorithms and applications	2001	Dirk Roose Koen Engelborghs Tatyana Luzyanina
+	Numerical bifurcation analysis of delay differential equations with state-dependent delay	2001	Dirk Roose Tatyana Luzyanina Koen Engelborghs
+	Computing periodic solutions and homoclinic orbits of delay differential equations using DDE-BIFTOOL	2001	Dirk Roose Koen Engelborghs Tatyana Luzyanina Giovanni Samaey
+	Numerical bifurcation analysis of delay differential equations	2000	Koen Engelborghs Tatyana Luzyanina Dirk Roose
+	On numerical methods for bifurcation analysis of delay differential equations	2000	Koen Engelborghs Tatyana Luzyanina Dirk Roose
+	Some collocation results on computing periodic solutions of delay differential equations	2000	Tatyana Luzyanina Koen Engelborghs Dirk Roose
+	Continuous pole placement for delay equations	2000	Wim Michiels Koen Engelborghs P. Vansevenant Dirk Roose
+ PDF Chat	DELAYED CONTROL OF A MOORE–GREITZER AXIAL COMPRESSOR MODEL	2000	WERNER AERNOUTS Dirk Roose Rodolphe Sepulchre
+ PDF Chat	Computation and Bifurcation Analysis of Periodic Solutions of Large-Scale Systems	2000	Kurt Lust Dirk Roose
+	Robustness of nonlinear delay equations wrt. bounded input perturbations and stabilization of nonlinear cascade systems	2000	Wim Michiels Dirk Roose Rodolphe Sepulchre
+	Differential equations with state-dependent delay: numerical study	2000	Tatyana Luzyanina Koen Engelborghs Dirk Roose
+	On the bifurcation analysis of a delay differential equation using DDE-BIFTOOL	2000	Koen Engelborghs Tatyana Luzyanina Dirk Roose
+	Smoothness loss of periodic solutions of a neutral functional differential equation: On a bifurcation of the essential spectrum	1999	Koen Engelborghs Dirk Roose
+	Numerical stability analysis of steady state solutions of delay equations	1999	Dirk Roose Koen Engelborghs
+	Integer wavelet transforms using the lifting scheme	1999	Geert Uytterhoeven Dirk Roose Adhemar Bultheel
+	Ritz and harmonic Ritz values and the convergence of FOM and GMRES	1999	Serge Goossens Dirk Roose
+	Stability of nonlinear cascade systems with time delay	1999	Wim Michiels Rodolphe Sepulchre Dirk Roose
+ PDF Chat	A Bow Shock Flow Containing (Almost) All Types of (‘Exotic’) MHD Discontinuities	1999	Hans De Sterck H. Deconinck Stefaan Poedts Dirk Roose
+	Computation of homoclinic bifurcations of PDEs using a multiple shooting Newton-Picard method	1998	Z. M. Zheng Dirk Roose
+	The behaviour of the floquet multipliers of periodic solutions near a homoclinic orbit	1998	Zuohuan Zheng Dirk Roose
+	A unifying approach for studying the behaviour and control of perturbations in variable structure systems	1998	Wim Michiels Dirk Roose
+ PDF Chat	An Adaptive Newton--Picard Algorithm with Subspace Iteration for Computing Periodic Solutions	1998	Kurt Lust Dirk Roose
+	A Krylov-Schwarz iterative solver for the shallow water equations	1998	Serge Goossens Kian Tan Dirk Roose
+	Harnmonic Ritz Values and the Convergence of GMRES	1998	Serge Goossens Dirk Roose
+	Computation, Continuation and Bifurcation Analysis of Periodic Solutions of Delay Differential Equations	1997	Tatyana Luzyanina Koen Engelborghs Kurt Lust Dirk Roose
+	Experimemts with a wavelet-based approximate proper orthogonal decomposition	1997	Geert Uytterhoeven Dirk Roose
+	WAILI: Wavelets with integer lifting	1997	Geert Uytterhoeven F. Van Wulpen Maarten Jansen Dirk Roose Adhemar Bultheel
+	Ritz and Harmonic Ritz Values and the Convergence of FOM and GMRES	1997	Serge Goossens Dirk Roose
+	The Restarted Arnoldi Method Applied to Iterative Linear System Solvers for the Computation of Rightmost Eigenvalues	1997	Karl Meerbergen Dirk Roose
+	A Newton-Picard method for accurate computation of period doubling bifurcation points of large-scale systems of ODEs	1996	Koen Engelborghs Kurt Lust Dirk Roose
+	Numerical stability analysis and computation of Hopf bifurcation points for delay differential equations	1996	Tatyana Luzyanina Dirk Roose
+	Convergence of concurrent Markov chain Monte-Carlo algorithms	1996	Maurits Malfait Dirk Roose
+	Convergence of concurrent Markov chain Monte-Carlo algorithms	1996	Maurits Malfait Dirk Roose
+	Block ILP −1 U/(O) preconditioning for a GMRES based Euler/Navier-Stokes solver	1996	Serge Goossens E. Issman Gérard Degrez Dirk Roose
+	Newton-Picard methods with subspace iteration for computing periodic solutions of partial differential equations	1996	Kurt Lust Dirk Roose
+	Finding eigenvalues to the right of a given line	1996	Karl Meerbergen Dirk Roose
+	Investigation of different time integration schemes for the 2D Shallow Water Equations on distributed memory parallel computers	1995	Z.W Song Dirk Roose Jean Berlamont
+	A Newton-Picard shooting method for computing periodic solutions of large-scale dynamical systems	1995	Dirk Roose Kurt Lust Alan R. Champneys A. Spence
+	A spectral algorithm for constrained graph partitioning I: the bisection case	1994	Raf Van Driessche Dirk Roose
+	The spectral transformation Arnoldi method with iterative linear system solvers	1994	Karl Meerbergen Dirk Roose
+	A Comparison of Parallel Solvers for the 2D Shallow Water Equations on Distributed Memory Parallel Computers	1994	Z.W Song Dirk Roose C.S. Yu Jean Berlamont
+	ON PERIODIC ORBITS AND HOMOCLINIC BIFURCATIONS IN CHUA'S CIRCUIT WITH A SMOOTH NONLINEARITY	1993	Alexander I. Khibnik Dirk Roose Leon O. Chua
+	<title>Convergence measure and some parallel aspects of Markov-chain Monte Carlo algorithms</title>	1993	Maurits Malfait Dirk Roose Dirk Vandermeulen
+	BIFURCATION ANALYSIS OF DOUBLE TAKENS–BOGDANOV POINTS OF NONLINEAR EQUATIONS WITH A Z<sub>2</sub>-SYMMETRY	1993	A. Spence Wei Wu Dirk Roose Bart De Dier
+	<title>Stochastical segmentation method for vascular images and its convergence and parallelization</title>	1993	Maurits Malfait Dirk Roose Dirk Vandermeulen
+	ON PERIODIC ORBITS AND HOMOCLINIC BIFURCATIONS IN CHUA’S CIRCUIT WITH A SMOOTH NONLINEARITY	1993	Alexander I. Khibnik Dirk Roose Leon O. Chua
+ PDF Chat	Continuation and Bifurcations: Numerical Techniques and Applications.	1992	Christian Schmeiser Dirk Roose Bart De Dier A. Spence
+	Book review of 'Practical Numerical Algorithms for Chaotic Systems', T.S. Parker and L.O. Chua, Springer-Verlag, 1989, 348	1992	Joos Vandewalle Dirk Roose
+	A multigrid solver for the Euler equations on the iPSC/2 parallel computer	1991	Lutgarde Beernaert Dirk Roose R Struys H. Deconinck
+	Detection of important factors by sequential bifurcation	1991	Dirk Roose
+	Efficient Parallel Computation of Periodic Solutions of Parabolic Partial Differential Equations	1991	Dirk Roose Stefan Vandewalle
+	Efficient parallel computation of periodic solutions of partial differential equations	1991	Dirk Roose Stefan Vandewalle
+	Parallel Algorithms for the Direct Solution of Finite-element Equations On a Distributed Memory Computer	1991	O. Zone R. Keunings Dirk Roose
+ PDF Chat	Continuation Techniques and Bifurcation Problems.	1991	Werner C. Rheinboldt Hans D. Mittelmann Dirk Roose
+	Interaction between fold and Hopf curves leads to new bifurcation phenomena	1990	Bart De Dier Dirk Roose P. Van Rompay
+	Numerical Determination of an Emanating Branch of Hopf Bifurcation Points in a Two-Parameter Problem	1989	Dirk Roose Bart De Dier
+	Interaction between fold and Hopf curves leads to new bifurcation phenomena	1989	Bart De Dier Dirk Roose P. Van Rompay
+	A comparison of two parallel multigrid methods for the numerical solution of parabolic partial differential equations	1989	Stefan Vandewalle Dirk Roose Robert Piessens
+	The construction of cubature formulae for a family of integrals: A bifurcation problem	1988	Pierre Verlinden Ronald Cools Dirk Roose Ann Haegemans
+	Numerical analysis of Hopf bifurcation in two-parameter problems	1988	Dirk Roose
+	Computation of branches of codimension two bifurcation points in a three-parameter space	1987	Bart De Dier Dirk Roose
+	Numerical computation of origins for Hopf bifurcation in a two-parameter problem	1987	Dirk Roose
+	A Direct Method for the Computation of Hopf Bifurcation Points	1985	Dirk Roose V. Hlaváček
+	Numerical computation of nonsimple turning points and cusps	1985	Dirk Roose Robert Piessens
+	An algorithm for the computation of Hopf bifurcation points in comparison with other methods	1985	Dirk Roose
+	Direct evaluation of critical conditions for thermal explosion and catalytic reaction	1984	Dirk Roose Robert Piessens V. Hlaváček P. Van Rompay
+	Direct Methods for The Computation of a Nonsimple Turning Point Corresponding to a Cusp	1984	Dirk Roose R. Caluwaerts
+	Numerical Computation of Hopf Bifurcation Points for Parabolic Diffusion-Reaction Differential Equations	1983	Dirk Roose V. Hlaváček

Common Coauthors

Coauthor	Papers Together
Tatyana Luzyanina	33
Koen Engelborghs	31
Giovanni Samaey	19
Wim Michiels	14
Kurt Lust	10
Ioannis G. Kevrekidis	8
Christophe Vandekerckhove	6
Koen Verheyden	6
Bart De Dier	6
Serge Goossens	5
Tony Wauters	4
Maurits Malfait	4
Gennady Bocharov	4
Sahar Chehrazad	4
Karl Meerbergen	4
P. Van Rompay	3
P. Vansevenant	3
V. Hlaváček	3
H. Deconinck	3
A. Spence	3
Iván Negrin	3
Robert Piessens	3
Ernesto Chagoyén Méndez	3
Rodolphe Sepulchre	3
Stefan Vandewalle	3
Geert Uytterhoeven	3
Yves Frederix	2
Z.W Song	2
Geert Lombaert	2
Hans De Sterck	2
E. Tijskens	2
Herman Ramón	2
Dirk Vandermeulen	2
Alexander I. Khibnik	2
Adhemar Bultheel	2
Jean Berlamont	2
Stefaan Poedts	2
K. GREEN	2
Michel Dambrine	2
Annelies Lejon	2
Andreas Meyerhans	2
I. G. Kevrekidis	2
Wim Vanroose	2
Leon O. Chua	2
Tim Schenkel	2
Josse De Baerdemaeker	2
R. Caluwaerts	1
Pierre Henri	1
Karyn L. Sutton	1
Denis Dochain	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Introduction to Functional Differential Equations	1993	Jack K. Hale Sjoerd M. Verduyn Lunel	10
+	The Calculation of Turning Points of Nonlinear Equations	1980	Gerald Moore A. Spence	9
+	Introduction to the Theory and Applications of Functional Differential Equations	1999	V. Kolmanovskii A. Myshkis	8
+	Numerical stability analysis and computation of Hopf bifurcation points for delay differential equations	1996	Tatyana Luzyanina Dirk Roose	8
+	Equation-Free Multiscale Computation: enabling microscopic simulators to perform system-level tasks	2002	Ioannis G. Kevrekidis C. W. Gear James M. Hyman Panagiotis Kevrekidis Olof Runborg Constantinos Theodoropoulos	8
+	Introduction to Functional Differential Equations	1993	Jack K. Hale Sjoerd M. Verduyn Lunel	8
+	On Stability of LMS Methods and Characteristic Roots of Delay Differential Equations	2002	Koen Engelborghs Dirk Roose	8
+	Theory and applications of Hopf bifurcation	1981	Brian Hassard Nicholas D. Kazarinoff Yujie Wan	8
+	The Numerical Stability of Linear Multistep Methods for Delay Differential Equations with Many Delays	1996	Hongjiong Tian Kuang Jiao-xun	7
+	Limitations of a class of stabilization methods for delay systems	2001	Koen Engelborghs Michel Dambrine Dirk Roose	7
+	Numerical computation of branch points in nonlinear equations	1979	R. Seydel	7
+ PDF Chat	An Adaptive Newton--Picard Algorithm with Subspace Iteration for Computing Periodic Solutions	1998	Kurt Lust Dirk Roose	6
+	Projective Methods for Stiff Differential Equations: Problems with Gaps in Their Eigenvalue Spectrum	2003	C. W. Gear Ioannis G. Kevrekidis	6
+	NUMERICAL SOLUTION OF BIFURCATION AND NONLINEAR EIGENVALUE PROBLEMS.	1977	H. B. Keller	6
+	Computation, Continuation and Bifurcation Analysis of Periodic Solutions of Delay Differential Equations	1997	Tatyana Luzyanina Koen Engelborghs Kurt Lust Dirk Roose	6
+ PDF Chat	Hybrid Atomistic–Continuum Formulations and the Moving Contact-Line Problem	1999	Nicolas G. Hadjiconstantinou	6
+ PDF Chat	Stabilization of Unstable Procedures: The Recursive Projection Method	1993	Gautam Shroff Herbert B. Keller	5
+	Multiplicity, stability, and oscillatory dynamics of the tubular reactor	1981	Robert F. Heinemann Aubrey B. Poore	5
+ PDF Chat	Constraint-Defined Manifolds: a Legacy Code Approach to Low-Dimensional Computation	2005	C. W. Gear Ioannis G. Kevrekidis	5
+ PDF Chat	GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems	1986	Yousef Saad Martin H. Schultz	5
+ PDF Chat	A locally parameterized continuation process	1983	Werner C. Rheinboldt John Burkardt	5
+	Matrix transformations for computing rightmost eigenvalues of large sparse non-symmetric eigenvalue problems	1996	Karl Meerbergen	5
+	A Direct Method for the Computation of Hopf Bifurcation Points	1985	Dirk Roose V. Hlaváček	5
+ PDF Chat	Continuous pole placement for delay equations	2002	Wim Michiels Koen Engelborghs P. Vansevenant Dirk Roose	5
+	Coarse bifurcation analysis of kinetic Monte Carlo simulations: A lattice-gas model with lateral interactions	2002	Alexei G. Makeev Dimitrios Maroudas Athanassios Z. Panagiotopoulos Ioannis G. Kevrekidis	5
+	Survey of Extrapolation Processes in Numerical Analysis	1971	Duncan Joyce	5
+	Steady State and Periodic Solution Paths: their Bifurcations and Computations	1984	Allan D. Jepson Herbert B. Keller	5
+	Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields	1983	John Guckenheimer Philip Holmes	5
+	Stability of piecewise polynomial collocation for computing periodic solutions of delay differential equations	2002	Koen Engelborghs Eusebius J. Doedel	5
+	Microscopic/stochastic timesteppers and coarse control: a kinetic Monte Carlo example	2002	Constantinos Siettos Antonios Armaou Alexei G. Makeev I.G. Kevrekidis	5
+	Finite spectrum assignment problem for systems with delays	1979	A. Manitius A.W. Olbrot	5
+ PDF Chat	The gap-tooth method in particle simulations	2003	C. W. Gear Ju Li Ioannis G. Kevrekidis	5
+	Collocation Methods for the Computation of Periodic Solutions of Delay Differential Equations	2001	Koen Engelborghs Tatyana Luzyanina Karel J. in ’t Hout Dirk Roose	4
+	Stability of Functional Differential Equations	1986		4
+	LIMITATIONS OF DELAYED STATE FEEDBACK: A NUMERICAL STUDY	2002	Wim Michiels Dirk Roose	4
+	The Numerical Calculation of Cusps, Bifurcation Points and Isola Formation Points in Two Parameter Problems	1984	A. Spence Allan D. Jepson	4
+ PDF Chat	Coarse Brownian dynamics for nematic liquid crystals: Bifurcation, projective integration, and control via stochastic simulation	2003	Constantinos Siettos Michael D. Graham Ioannis G. Kevrekidis	4
+	An algorithm for the computation of Hopf bifurcation points in comparison with other methods	1985	Dirk Roose	4
+	Solving Ordinary Differential Equations II	1996	Ernst Hairer Gerhard Wanner	4
+ PDF Chat	Elementary Stability and Bifurcation Theory	1980	Gérard Iooss Daniel D. Joseph	4
+ PDF Chat	Coarse molecular dynamics of a peptide fragment: Free energy, kinetics, and long-time dynamics computations	2003	Gerhard Hummer Ioannis G. Kevrekidis	4
+	Numerical bifurcation analysis of delay differential equations	2000	Koen Engelborghs Tatyana Luzyanina Dirk Roose	4
+	Some problems arising in the implementation of distributed-delay control laws	2003	V. Van Assche Michel Dambrine J.F. Lafay Jean‐Pierre Richard	4
+	On the zeros of exponential polynomials	1980	Cerino Ewerton de Avellar Jack K. Hale	4
+	Cellular automata studies of mixing in chaotic flows	1992	Marek Cieplak Umberto D’Ortona D. Salin Renata B. Rybka Jayanth R. Banavar	4
+ PDF Chat	“Coarse” stability and bifurcation analysis using stochastic simulators: Kinetic Monte Carlo examples	2002	Alexei G. Makeev Dimitrios Maroudas Ioannis G. Kevrekidis	4
+	The Convergence of Operator Approximations at Turning Points	1981	Gerald Moore A. Spence	4
+	Estimation of numerically stable step-size for neutral delay-differential equations via spectral radius	1997	Guangdi Hu Guang‐Da Hu Ming-Zhu Liu	4
+	Theory of Functional Differential Equations	1977	Jack K. Hale	4
+	Sensitivity to Infinitesimal Delays in Neutral Equations	2002	Wim Michiels Koen Engelborghs Dirk Roose Denis Dochain	4