Last change
2013/12/06
Webmaster

Publications

2013

• Gary Froyland, Thorsten Hüls, Gary P. Morriss, Thomas M. Watson.
  Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: a comparative numerical study.
  Physica D: Nonlinear Phenomena 247 (2013) pp. 18-39
  DOI: 10.1016/j.physd.2012.12.005
• Wolf-Jürgen Beyn, Janosch Rieger.
  Galerkin Finite Element Methods for Semilinear Elliptic Differential Inclusions.
  Discrete and Continuous Dynamical Systems Series B 18 no. 2 (2013) pp. 295-312
  DOI: 10.3934/dcdsb.2013.18.295
• Raphael Kruse.
  Optimal error estimates of Galerkin finite element methods for stochastic partial differential equations with multiplicative noise.
  IMA Journal of Numerical Analysis (2013)
  DOI: 10.1093/imanum/drs055
• Wolf-Jürgen Beyn, Alexander Lust.
  Error analysis of a hybrid method for computing Lyapunov exponents.
  Numerische Mathematik 123 (2013) pp. 189-217
  DOI: 10.1007/s00211-012-0486-4

2012

• Joseph Paez, Lajos Loczi.
  Various Closeness Results in Discretized Bifurcations.
  Differential Equations and Dynamical Systems 20 no. 3 (2012) pp. 235-284
  DOI: 10.1007/s12591-012-0135-5
• Jens Rottmann-Matthes.
  Stability of parabolic-hyperbolic traveling waves.
  Dynamics of Partial Differential Equations 9 no. 1 (2012) pp. 29-62
• Jens Rottmann-Matthes.
  Stability and Freezing of Waves in Nonlinear Hyperbolic-Parabolic Systems.
  IMA Journal of Applied Mathematics 77 no. 3 (2012) pp. 420-429
  DOI: 10.1093/imamat/hxs031
• Jens Rottmann-Matthes.
  Stability and freezing of nonlinear waves in first order hyperbolic PDEs.
  Journal of Dynamics and Differential Equations 24 no. 2 (2012) pp. 341-367
  DOI: 10.1007/s10884-012-9241-x
• Thorsten Hüls, Yongkui Zou.
  On Computing Heteroclinic Trajectories of Non-Autonomous Maps.
  Discrete and Continuous Dynamical Systems Series B 17 no. 1 (2012) pp. 79-99
  DOI: 10.3934/dcdsb.2012.17.79
• Raphael Kruse, Stig Larsson.
  Optimal regularity for semilinear stochastic partial differential equations with multiplicative noise.
  Electronic Journal of Probability 17 no. 65 (2012) pp. 1-19
  DOI: 10.1214/EJP.v17-2240
• Jens Kemper.
  Long-time behavior of the POD method.
  Numerical Linear Algebra with Applications 19 (2012) pp. 842-868
  DOI: 10.1002/nla.825
• Joseph Paez.
  Discretizing Dynamical Systems with Hopf-Hopf Bifurcations.
  IMA Journal of Numerical Analysis 32 no. 1 (2012) pp. 184-201
  DOI: 10.1093/imanum/drr002
• Wolf-Jürgen Beyn.
  An integral method for solving nonlinear eigenvalue problems.
  Linear Algebra and Its Applications 436 no. 10 (2012) pp. 3839-3863
  DOI: 10.1016/j.laa.2011.03.030
• Raphael Kruse.
  Characterization of bistability for stochastic multistep methods.
  BIT Numer. Math. 52 no. 1 (2012) pp. 109-140
  DOI: 10.1007/s10543-011-0341-5
• Gabriel J. Lord, Vera Thümmler.
  Computing Stochastic Traveling Waves.
  SIAM Journal on Scientific Computing 34 no. 1 (2012) pp. B24-B43
  DOI: 10.1137/100784734

2011

• Wolf-Jürgen Beyn, Cedric Effenberger, Daniel Kressner.
  Continuation of Eigenvalues and Invariant Pairs for Parameterized Nonlinear Eigenvalue Problems.
  Numerische Mathematik 119 no. 3 (2011) pp. 489-516
  DOI: 10.1007/s00211-011-0392-1
• Jens Rottmann-Matthes.
  Linear stability of traveling waves in nonstrictly hyperbolic PDEs.
  Journal of Dynamics and Differential Equations 23 no. 2 (2011) pp. 365-393
  DOI: 10.1007/s10884-011-9216-3
• Wolf-Jürgen Beyn, Janosch Rieger.
  An implicit function theorem for one-sided Lipschitz mappings.
  Set-Valued and Variational Analysis 19 no. 3 (2011) pp. 343-359
• Thorsten Hüls.
  Homoclinic trajectories of non-autonomous maps.
  Journal of Difference Equations and Applications 17 no. 1 (2011) pp. 9-31

2010

• Joseph Paez.
  Discretizing Dynamical Systems with Generalized Hopf Bifurcations.
  Numerische Mathematik (2010)
• Joseph Paez.
  Starting Homoclinic Tangencies near 1 : 1 Resonances.
  International Journal of Bifurcation and Chaos (2010)
• Wolf-Jürgen Beyn, Benjamin Gess, Paul Lescot, Michael Röckner.
  The global random attractor for a class of stochastic porous media equations.
  Communications in Partial Differential Equations 36 no. 3 (2010) pp. 446-469
• Joseph Paez.
  Discretizing Bifurcation Diagrams near Codimension two Singularities.
  International Journal of Bifurcation and Chaos 20 no. 5 (2010) pp. 1391-1403
• Raphael Kruse.
  Discrete approximation of stochastic differential equations.
  Boletín de la Sociedad Española de Matemática Aplicada 51 (2010) pp. 83-91
• Wolf-Jürgen Beyn, Janosch Rieger.
  The implicit Euler scheme for one-sided Lipschitz differential inclusions.
  Discrete and Continuous Dynamical Systems Series B 14 (2010) pp. 409-428
• Wolf-Jürgen Beyn, Raphael Kruse.
  Two-Sided Error Estimates for the Stochastic Theta Method.
  Discrete and Continuous Dynamical Systems Series B 14 (2010) pp. 389-407
• Thorsten Hüls.
  Computing Sacker-Sell spectra in discrete time dynamical systems.
  SIAM J. Numer. Anal. 48 no. 6 (2010) pp. 2043-2064
• Fritz Colonius, Thorsten Hüls, Martin Rasmussen.
  Connecting orbits in perturbed systems.
  Nonlinear Dynamics 59 (2010) pp. 569-578
• Anke Meyer-Bäse, Rodney G. Roberts, Vera Thümmler.
  Local Uniform Stability of Competitive Neural Networks with Different Time-Scales under Vanishing Perturbations.
  Neurocomputing 73 no. 4-6 (2010) pp. 770-775
• Veerle Ledoux, Simon J.A. Malham, Vera Thümmler.
  Grassmannian spectral shooting.
  Math. Comp. 79 no. 271 (2010) pp. 1585-1619

2009

• Wolf-Jürgen Beyn, Vera Thümmler.
  Dynamics of Patterns in Nonlinear Equivariant PDEs.
  GAMM Mitteilungen 32 no. 1 (2009) pp. 7-25
• Joseph Paez, Lajos Loczi.
  Preservation of bifurcations under Runge-Kutta methods.
  International Journal of Qualitative Theory of Differential Equations and Applications 3 no. 1-2 (2009) pp. 81-98
• Thorsten Hüls.
  Numerical computation of dichotomy rates and projectors in discrete time.
  Discrete and Continuous Dynamical Systems Series B 12 no. 1 (2009) pp. 109-131
• Veerle Ledoux, Simon Malham, Jitse Niesen, Vera Thümmler.
  Computing Stability of Multidimensional Travelling Waves.
  SIAM Journal on Applied Dynamical Systems 8 no. 1 (2009) pp. 480-507
• Wolf-Jürgen Beyn, Vera Thümmler.
  Continuation of invariant subspaces for parameterized quadratic eigenvalue problems.
  SIAM Journal on Matrix Analysis and Applications 318 no. 3 (2009) pp. 1361-1381
• Wolf-Jürgen Beyn, Alexander Lust.
  A hybrid method for calculating Lyapunov exponents.
  Numerische Mathematik 113 no. 3 (2009) pp. 357-375

2008

• Alexander Weddemann, Vera Thümmler.
  Stability Analysis of ALE-Methods for Advection-Diffusion Problems.
  Proceedings of the European Comsol Conference 2008 (2008)
• Wolf-Jürgen Beyn, Jens Lorenz.
  Nonlinear stability of rotating patterns.
  Dynamics of Partial Differential Equations 5 no. 4 (2008) pp. 349-400
• Jens Rottmann-Matthes.
  Spectral Analysis of Coupled Hyperbolic-Parabolic Systems on Finite and Infinite Intervals.
  Hyperbolic Problems: Theory, Numerics, Applications (Proceedings of the Eleventh International Conference on Hyperbolic Problems held in Ecole Normale Superieure, Lyon, July 17-21, 2006) Editoren Sylvie Benzoni-Gavage und Dennis Serre (2008) pp. 901-909
• Thorsten Hüls.
  A Bifurcation Analysis of a 3D Blowfly Model in Discrete and Continuous Time.
  International Journal of Bifurcation and Chaos 18 no. 7 (2008) pp. 1957-1972
• Janosch Rieger, Sergei Pilyugin.
  Shadowing and inverse shadowing in set-valued dynamical systems. Hyperbolic case.
  Topological Methods in Nonlinear Analysis 32 no. 1 (2008) pp. 151-164
• Wolf-Jürgen Beyn, Vera Thümmler, Sabrina Selle.
  Freezing Multipulses and Multifronts.
  SIAM Journal on Applied Dynamical Systems 7 no. 2 (2008) pp. 577-608
• Anke Meyer-Bäse, Vera Thümmler.
  Local and Global Stability Analysis of an Unsupervised Competitive Neural Network.
  IEEE Transactions on Neural Networks 19 no. 2 (2008) pp. 346-351
• Janosch Rieger, Sergei Pilyugin.
  Shadowing and inverse shadowing in set-valued dynamical systems. Contractive case.
  Topological Methods in Nonlinear Analysis 32 no. 1 (2008) pp. 139-150
• Wolf-Jürgen Beyn, Thorsten Hüls, Malte Samtenschnieder.
  On r-periodic orbits of k-periodic maps.
  Journal of Difference Equations and Applications 14 no. 8 (2008) pp. 865-887
• Wolf-Jürgen Beyn, Sergey Piskarev.
  Shadowing for discrete approximations of abstract parabolic equations.
  Discrete and Continuous Dynamical Systems Series B 10 no. 1 (2008) pp. 19-42
• Vera Thümmler.
  The Effect of Freezing and Discretization to the Asymptotic Stability of Relative Equilibria .
  Journal of Dynamics and Differential Equations 20 no. 2 (2008) pp. 425-477
• Vera Thümmler.
  Numerical approximation of relative equilibria for equivariant PDEs.
  SIAM Journal on Numerical Analysis 46 no. 6 (2008) pp. 2978-3005

2007

• Wolf-Jürgen Beyn, Vera Thümmler.
  Phase conditions, symmetries, and PDE continuation.
  Numerical Continuation Methods for Dynamical Systems (B. Krauskopf, H. Osinga, J. Galan-Vioque Eds.). (2007) pp. 301-330
• Simone Kühn, Wolf-Jürgen Beyn, Holk Cruse.
  Modelling memory functions with recurrent neural networks consisting of input compensation units: I. Static situations.
  Biological Cybernetics 96 no. 5 (2007) pp. 455-470
• Wolf-Jürgen Beyn, Janosch Rieger.
  Numerical Fixed Grid Methods for Differential Inclusions.
  Computing 81 (2007) pp. 91-106
• Thorsten Hüls.
  A Model Function for Non-Autonomous Bifurcations of Maps.
  Discrete and Continuous Dynamical Systems-Series B 7 no. 2 (2007) pp. 351-363
• Wolf-Jürgen Beyn, Jens Rottmann-Matthes.
  Resolvent estimates for boundary value problems on large intervals via the theory of discrete approximations.
  Numerical Functional Analysis and Optimization 28 no. 5 & 6 (2007) pp. 603-629

2006

• Anke Meyer-Bäse, Vera Thümmler, Fabian Theis.
  Stability Analysis of an Unsupervised Competitive Neural Network.
  Proceedings of {IJCNN} 2006 (2006) pp. 1025-1028
• Vera Thümmler.
  Numerical bifurcation analysis of relative equilibria with Femlab.
  Proceedings der Comsol Anwenderkonferenz 2006 (2006) pp. 184-187
• Thorsten Hüls.
  Homoclinic Orbits of Non-Autonomous Maps and their Approximation.
  Journal of Difference Equations and Applications 12 no. 11 (2006) pp. 1103-1126
• Yong-Kui Zou, Tassilo Küpper, Wolf-Jürgen Beyn.
  Generalized Hopf bifurcation for non-smooth planar dynamical systems.
  J. Nonlinear Sci. 16 no. 2 (2006) pp. 159-177
• Wolf-Jürgen Beyn, Jens Lorenz.
  Stability of viscous profiles: proofs via dichotomies.
  J. Dynam. Differential Equations 18 no. 1 (2006) pp. 141-195

2005

• Thorsten Hüls.
  Instability helps virtual flies to mate.
  Biological Cybernetics 93 no. 3 (2005) pp. 222-229
• Thorsten Hüls.
  Bifurcation of Connecting Orbits with One Nonhyperbolic Fixed Point for Maps.
  SIAM Journal on Applied Dynamical Systems 4 no. 4 (2005) pp. 985-1007

2004

• Wolf-Jürgen Beyn, Vasiliy S. Kolezhuk, Sergei Pilyugin.
  Convergence of discretized attractors for parabolic equations on the line.
  Zapiski Nauchnyh Seminarov POMI 318 (2004) pp. 14-41
• Wolf-Jürgen Beyn, Thorsten Hüls.
  Error estimates for approximating non-hyperbolic heteroclinic orbits of maps.
  Num. Math. 99 no. 2 (2004) pp. 289-323
• Wolf-Jürgen Beyn, Thorsten Hüls, Jan-Martin Kleinkauf, Yong-Kui Zou.
  Numerical analysis of degenerate connecting orbits for maps.
  Internat. J. Bifur. Chaos 14 no. 10 (2004) pp. 3385-3407
• Wolf-Jürgen Beyn, Vera Thümmler.
  Freezing solutions of equivariant evolution equations.
  SIAM J. Appl. Dyn. Syst. 3 no. 2 (2004) pp. 85-116
• Yong-Kui Zou, Wolf-Jürgen Beyn.
  On the existence of transversal heteroclinic orbits in discretized dynamical systems.
  Nonlinearity 17 (2004) pp. 2275-2292
• Thorsten Hüls.
  A model function for polynomial rates in discrete dynamical systems.
  Appl. Math. Lett. 17 no. 1 (2004) pp. 1-5

2003

• Wolf-Jürgen Beyn, Sergei Pilyugin.
  Attractors of reaction diffusion systems on infinite lattices.
  J. Dynam. Differential Equations 15 no. 2-3 (2003) pp. 485-515
• Sergei Pilyugin, A.A. Rodionova, K. Sakai.
  Orbital and weak shadowing properties.
  Discrete Contin. Dyn. Syst. 9 no. 2 (2003) pp. 287-308
• Yong-Kui Zou, Wolf-Jürgen Beyn.
  On manifolds of connecting orbits in discretizations of dynamical systems.
  Nonlinear Analysis TMA 52 no. 5 (2003) pp. 1499-1520

2002

• Wolf-Jürgen Beyn, Alan Champneys, Eusebius Doedel, Willy Govaerts, Yuri Kuznetsov, Björn Sandstede.
  Numerical continuation, and computation of normal forms.
  Handbook of dynamical systems (Ed. B. Fiedler) 2 (2002) pp. 149-219
• Gyula Farkas.
  Small delay inertial manifolds under numerics: A numerical structural stability result.
  J. Dynam. Differential Equations 14 no. 3 (2002) pp. 549-588
• Yong-Kui Zou, Yan She.
  Homoclinic bifurcation properties near a figure-eight homoclinic orbit.
  Northeast. Math. J. 18 no. 1 (2002) pp. 79-88
• Gyula Farkas.
  Conjugacy in the Discretized Fold Bifurcation.
  Comput. Math. Appl. 43 no. 8-9 (2002) pp. 1027-1033
• Barnabas Garay, Wolf-Jürgen Beyn.
  Estimates of Variable Stepsize Runge-Kutta Methods for Sectorial Evolution Equations with Nonsmooth Data.
  Appl. Numer. Math. 41 no. 3 (2002) pp. 369-400

2001

• Wolf-Jürgen Beyn, Thorsten Pampel (Göke), W. Semmler.
  Dynamic optimization and Skiba sets in economic examples.
  Optimal Control Appl. Methods 22 no. 5-6 (2001) pp. 251-280
• Thorsten Hüls, Yong-Kui Zou.
  Polynomial Estimates and Discrete Saddle-node Homoclinic Orbits.
  J. Math. Anal. Appl. 256 no. 1 (2001) pp. 115-126
• Wolf-Jürgen Beyn, Winfried Kleß, Vera Thümmler.
  Continuation of low-dimensional invariant subspaces in dynamical systems of large dimension.
  Ergodic Theory, Analysis and Efficient Simulation of Dynamical Systems (2001) pp. 48-72
• Thorsten Pampel (Göke).
  Numerical approximation of connecting orbits with asymptotic rate.
  Numer. Math. 90 no. 2 (2001) pp. 309-348

2000

• Gyula Farkas.
  On Cj-Closeness of Invariant Foliations under Numerics.
  Acta Math. Univ. Comenian. (N.S.) 69 no. 2 (2000) pp. 215-227
• Wolf-Jürgen Beyn, Johannes Schropp.
  Runge-Kutta Discretizations of Singularly Perturbed Gradient Equations.
  BIT 40 no. 3 (2000) pp. 415-433
• Alexander Vladimirov, Ludwig Elsner, Wolf-Jürgen Beyn.
  Stability and Paracontractivity of Discrete Linear Inclusions.
  Linear Algebra Appl. 312 no. 1-3 (2000) pp. 125-134
• Matthias Stiefenhofer.
  Unfolding singularly perturbed Bogdanov points.
  SIAM J. Math. Anal. 32 no. 4 (2000) pp. 820-853

1999

• Wolf-Jürgen Beyn, Vera Thümmler, Winfried Kleß.
  A continuation framework for invariant subspaces and its application to traveling waves.
  Scientific Computing in Chemical Engineering II (1999) pp. 144-151
• Wolf-Jürgen Beyn, Jens Lorenz.
  Stability of Traveling Waves: Dichotomies and Eigenvalue Conditions on Finite Intervals.
  Numer. Funct. Anal. Optim. 20 no. 3-4 (1999) pp. 201-244
• Wolf-Jürgen Beyn, Matthias Stiefenhofer.
  A direct approach to homoclinic orbits in the fast dynamics of singularly perturbed systems.
  J. Dynam. Differential Equations 11 no. 4 (1999) pp. 671-709

1998

• Christian Alscher, Wolf-Jürgen Beyn.
  Simulating the motion of the leech: A biomechanical application of DAEs.
  Numer. Algorithms 19 no. 1-4 (1998) pp. 1-12
• Matthias Stiefenhofer.
  Singular Perturbation with Limit Points in the Fast Dynamics.
  Z. Angew. Math. Phys. 49 no. 5 (1998) pp. 730-758
• Matthias Stiefenhofer.
  Singular Perturbation with Hopf Points in the Fast Dynamics.
  Z. Angew. Math. Phys 49 no. 4 (1998) pp. 602-629
• Winfried Kleß, Wolf-Jürgen Beyn.
  Numerical Taylor expansions of invariant manifolds in large dynamical systems.
  Numer. Math. 80 no. 1 (1998) pp. 1-38
• Yong-Kui Zou, Wolf-Jürgen Beyn.
  Invariant Manifolds for Non-autonomous Systems with Application to One-step Methods.
  J. Dynam. Differential Equations 10 no. 3 (1998) pp. 379-407

1997

• Ludwig Elsner, Wolf-Jürgen Beyn.
  Infinite products and paracontracting matrices..
  Electron. J. Linear Algebra 2 (1997) pp. 1-8
• Wolf-Jürgen Beyn, Jan-Martin Kleinkauf.
  Numerical approximation of Homoclinic Chaos.
  Numer. Algorithms 14 no. 1-3 (1997) pp. 1017-1398
• Wolf-Jürgen Beyn, Jan-Martin Kleinkauf.
  The Numerical Computation of Homoclinic Orbits for Maps.
  SIAM J. Numer. Anal. 34 (1997) pp. 1207-1236

1996

• Wolf-Jürgen Beyn, Yong-Kui Zou.
  Discretizations of dynamical systems with a saddle-node homoclinic orbit.
  Discrete Contin. Dynam. Systems 2 no. 3 (1996) pp. 351-365

1994

• Wolf-Jürgen Beyn.
  On well-posed problems for connecting orbits in dynamical systems.
  Chaotic numerics, eds. Peter E. Kloeden et al. (Contemporary mathematics; 172) (1994) pp. 131-168
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3778/index_de.html
• Wolf-Jürgen Beyn.
  Numerical analysis of homoclinic orbits emanating from a Takens-Bogdanov point.
  IMA Journal of Numerical Analysis 14 no. 3 (1994) pp. 381-410
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3779/index_de.html

1993

• Wolf-Jürgen Beyn.
  On smoothness and invariance properties of the gauss-newton method.
  Numerical Functional Analysis and Optimization 14 no. 5-6 (1993) pp. 503-514
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3780/index_de.html

1991

• Wolf-Jürgen Beyn.
  Numerical methods for dynamical systems.
  Advances in numerical analysis, ed. Will Light, vol. 1: Nonlinear partial differential equations and dynamical systems (Oxford science publications) (1991) pp. 175-236
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3781/index_de.html

1990

• Wolf-Jürgen Beyn.
  Global bifurcations and their numerical computation.
  Continuation and bifurcations, eds. Dirk Roose et al. (NATO ASI series : Series C ; 313) (1990) pp. 169-181
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3782/index_de.html
• Wolf-Jürgen Beyn.
  The numerical computation of connecting orbits in dynamical systems.
  IMA Journal of Numerical Analysis 10 no. 3 (1990) pp. 379-405
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3783/index_de.html
• Wolf-Jürgen Beyn, Martin Wadepuhl.
  Verzweigung in einem Finite-Elemente Modell für das hydrostatische Skelett.
  Zeitschrift für angewandte Mathematik und Mechanik 70 no. 4 (1990) pp. T272-T274
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3784/index_de.html

1989

• Wolf-Jürgen Beyn, Martin Wadepuhl.
  Computer simulation of the hydrostatic skeleton : the physical equivalent, mathematics and application to worm-like forms.
  Journal of Theoretical Biology 136 no. 4 (1989) pp. 379-402
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3785/index_de.html

1987

• Wolf-Jürgen Beyn, Jens Lorenz.
  Center manifolds of dynamical systems under discretization.
  Numerical functional analysis and optimization 9 no. 3-4 (1987) pp. 381-414
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3789/index_de.html
• Wolf-Jürgen Beyn.
  On invariant closed curves for one-step methods.
  Numerische Mathematik 51 no. 1 (1987) pp. 103-122
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3788/index_de.html
• Wolf-Jürgen Beyn.
  On the numerical approximation of phase portraits near stationary points.
  SIAM journal on numerical analysis 24 no. 5 (1987) pp. 1095-1113
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3786/index_de.html
• Wolf-Jürgen Beyn.
  The effect of discretization on homoclinic orbits.
  Bifurcation: analysis, algorithms, applications: proceedings of the conference at the University of Dortmund, August 18 - 22, 1986, eds. Tassilo Küpper et al. (International series of numerical mathematics ; 79) (1987) pp. 1-8
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3787/index_de.html

1985

• Wolf-Jürgen Beyn.
  Zur numerischen Berechnung mehrfacher Verzweigungspunkte.
  Zeitschrift für angewandte Mathematik und Mechanik 65 no. 5 (1985) pp. 370-371
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3790/index_de.html

1984

• Wolf-Jürgen Beyn, Erich Bohl.
  Organizing centers for discrete reaction diffusion models.
  Numerical methods for bifurcation problems: proceedings of the conference at the University of Dortmund, August 22 - 26, 1983, eds. Tassilo Küpper et al. (International series of numerical mathematics ; 70) (1984) pp. 57-67
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3815/index_de.html

1983

• Wolf-Jürgen Beyn.
  Defining equations for singular solutions and numerical applications.
  Numerical methods for bifurcation problems: proceedings of the conference at the University of Dortmund, August 22 - 26, 1983, eds. Tassilo Küpper et al. (International series of numerical mathematics ; 70) (1983) pp. 42-56
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3793/index_de.html
• Wolf-Jürgen Beyn.
  Half-stable solution branches for ordinary bifurcation problems.
  Mathematical methods in the applied sciences 5 (1983) pp. 1-13
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3794/index_de.html
• Wolf-Jürgen Beyn.
  Numerical analysis of singularities in a diffusion reaction model.
  Numerical analysis of singularities in a diffusion reaction model. Equadiff 82: proceedings of the international conference held in Würzburg, FRG, August 23 - 28, 1982, eds. Hans W. Knobloch et al. (Lecture notes in mathematics ; 1017) (1983) pp. 93-100
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3792/index_de.html

1982

• Wolf-Jürgen Beyn.
  Discrete Green's functions and strong stability properties of the finite difference method.
  Applicable analysis 14 no. 2 (1982) pp. 73-98
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3795/index_de.html
• Wolf-Jürgen Beyn, Jens Lorenz.
  Spurious solutions for discrete superlinear boundary value problems.
  Computing 28 no. 1 (1982) pp. 43-51
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3796/index_de.html

1981

• Wolf-Jürgen Beyn, Eusebius Doedel.
  Stability and Multiplicity of Solutions to Discretizations of Nonlinear Ordinary Differential Equations.
  SIAM Journal on Scientific and Statistical Computing 2 no. 1 (1981) pp. 107-120
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2010/4452/index_de.html

1980

• Wolf-Jürgen Beyn.
  On discretizations of bifurcation problems.
  Bifurcation problems and their numerical solution: Workshop on Bifurcation Problems and Their Numerical Solution Dortmund, January 15 - 17, 1980, eds. Hans Detlef Mittelmann et al. (International series of numerical mathematics ; 54) (1980) pp. 46-73
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3797/index_de.html

1979

• Wolf-Jürgen Beyn.
  Die Konvergenz der diskreten Greenschen Funktionen beim gewöhnlichen Differenzenverfahren.
  Zeitschrift für angewandte Mathematik und Mechanik 59 no. 3 (1979) pp. T47-T49
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3801/index_de.html
• Wolf-Jürgen Beyn.
  Schwach majorisierende Elemente und die besonderen Monotonie-Eigenschaften von Randwertaufgaben zweiter Ordnung.
  Manuscripta mathematica 28 no. 4 (1979) pp. 317-336
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3800/index_de.html
• Wolf-Jürgen Beyn.
  The exact order of convergence for finite difference approximations to ordinary boundary value problems.
  Mathematics of computation 33 no. 148 (1979) pp. 1213-1228
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3798/index_de.html

1978

• Wolf-Jürgen Beyn.
  Höhere Konvergenzordnungen beim Differenzenverfahren für gewöhnliche Randwertaufgaben.
  Zeitschrift für angewandte Mathematik und Mechanik 58 no. 7 (1978) pp. T405-T407
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3802/index_de.html
• Wolf-Jürgen Beyn.
  On the convergence of the finite difference method for nonlinear ordinary boundary value problems.
  Constructive methods for nonlinear boundary value problems and nonlinear oscillations: conference at the Oberwolfach Mathematical Research Institute, Black Forest, November 19 - 25, 1978, eds. Julius Albrecht (International series of numerical mathematics ; 48) (1978) pp. 9-19
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3803/index_de.html
• Wolf-Jürgen Beyn.
  Zur Stabilität von Differenzenverfahren für Systeme linearer gewöhnlicher Randwertaufgaben.
  Numerische Mathematik 29 no. 2 (1978) pp. 209-226
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3804/index_de.html

1976

• Wolf-Jürgen Beyn.
  Das Parallelenverfahren für Operatorgleichungen und seine Anwendung auf nichtlineare Randwertaufgaben.
  Numerische Behandlung von Differentialgleichungen: Tagung am Mathematischen Forschungsinstitut Oberwolfach vom 17. bis 22. November 1975 über "Numerische Behandlung von Differentialgleichungen, insbesondere mit der Methode der finiten Elemente" (International series of numerical mathematics ; 31) (1976) pp. 9-33
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3805/index_de.html

1974

• Wolf-Jürgen Beyn, Jens Lorenz.
  Zur Anwendung der Theorie über den Spektralradius linearer, streng-monotoner Operatoren.
  Numerische Behandlung von Eigenwertaufgaben, vol. 1: Tagung über Numerische Behandlung von Eigenwertaufgaben vom 19. - 24. Nov. 1972 (International series of numerical mathematics ; 24) (1974) pp. 9-33
  Postprint available at: http://repositories.ub.uni-bielefeld.de/biprints/volltexte/2009/3806/index_de.html