Publications of M3

Preprints

(F. Bornemann) A Stirling-type formula for the distribution of the length of longest increasing subsequences, applied to finite size corrections to the random matrix limit , arXiv:2206.09411 , 24pp (2022).

(U. Bauer, D. Hien, O. Junge, K. Mischaikow, M. Snijders) Combinatorial models of global dynamics: learning cycling motion from data  (2020).

2022

(F. Bornemann) A Jentzsch-Theorem for Kapteyn, Neumann, and General Dirichlet Series , Comput. Methods Func. Theory  17pp (online first, 2022). DOI 10.1007/s40315-022-00468-y 

(F. Bornemann) The Challenge of Sixfold Integrals: The Closed-Form Evaluation of Newton Potentials between Two Cubes, Proc. R. Soc. A 478:20220254 , 20pp (2022). DOI 10.1098/rspa.2022.0254 

2021

(N. Schilling, D. Karrasch, O. Junge) Heat-content and diffusive leakage from material sets in the low-diffusivity limit , Nonlinearity, 34(10), pp. 7303–7321, (2021). 

(F. Antown, G. Froyland, O. Junge) Linear response for the dynamic Laplacian and finite-time coherent sets  Nonlinearity, 34(5), pp. 3337–3355, (2021). 

(C.B. Mendl, F. Bornemann) Efficient numerical evaluation of thermodynamic quantities on infinite (semi-)classical chains, J. Stat. Phys. 182:57 , 14pp (2021). DOI 10.1007/s10955-021-02736-y 

2020

(N. Schilling, G. Froyland, O. Junge) Higher-Order Finite Element Approximation of the Dynamic Laplacian , ESAIM: Mathematical Modelling and Numerical Analysis, 54 (5), pp. 1777–1795, (2020) .

(O. Junge, B. Söllner) A convergent Lagrangian discretization for p-Wasserstein and flux-limited diffusion equations  Communications on Pure and Applied Analysis, 19 (9), pp. 4227–4256, (2020) .

(F. Andrade-Canto, D. Karrasch, and F. J. Beron-Vera) Genesis, evolution, and apocalypse of Loop Current rings , Physics of Fluids , 32(11), 116603, 2020. DOI: 10.1063/5.0030094 

(F. Bornemann, Y.Y. Li, J. Wuttke) Multiple Bragg reflection by a thick mosaic crystal. II. Simplified transport equation solved on a grid, Acta Cryst. A76 , 376–389 (2020). DOI 10.1107/S2053273320002065 

(N. Schilling) Short-time heat content asymptotics via the wave and eikonal equations  Journal of Geometric Analysis , to appear (2020).

(D. Karrasch, N. Schilling) Fast and robust computation of coherent Lagrangian vortices on very large two-dimensional domains  SMAI Journal of Computational Mathematics , 6, 101-124 (2020).

(D. Karrasch, J. Keller) A geometric heat-flow theory of Lagrangian coherent structures , Journal of Nonlinear Science , to appear (2020).

(G. Haller, D. Karrasch, F. Kogelbauer) Barriers to the Transport of Diffusive Scalars in Compressible Flows  SIAM J Appl. Dyn. Sys. , 19(1), 85-123 (2020).

2019

(C. Ludwig, O. Junge, U. Wever) Online parameter identification methods for oscillatory systems: Estimation of changes in stiffness properties.  Journal of Vibration and Control , 25 (4), pp. 725-738 (2018).

(C. Schneide, M. Plonka, A. Pandey, O. Junge, P. Koltai, K. Padberg-Gehle, J. Schumacher) Lagrangian coherent sets in turbulent Rayleigh-Bénard convection , Physical Review E, 110(5) , (2019).

2018

(G. Froyland, O. Junge) Robust FEM-based extraction of finite-time coherent sets using scattered, sparse, and incomplete trajectories , SIAM J. Appl. Dyn. Syst.  17 (2), p. 1891-1924, (2018).

(G. Haller, D. Karrasch, and F. Kogelbauer) Material barriers to diffusive and stochastic transport , Proceedings of the National Academy of Sciences, 2018.

(F. Bornemann) Numerical Linear Algebra , Springer-Verlag, Cham (2018).

(F. Hofherr, D. Karrasch) Lagrangian Transport through Surfaces in Compressible Flows , SIAM J Appl Dyn Sys, 17(1) , pp. 526-546 (2018).

2017

(O. Junge, I.G. Kevrekidis) On the sighting of unicorns: a variational approach to computing invariant sets in dynamical systems , CHAOS, 27(6)  (2017).

(O. Junge, D. Matthes, H. Osberger) A fully discrete variational scheme for solving nonlinear Fokker-Planck equations in higher space dimensions , SIAM J. Numer. Anal., 55(1) , pp. 419–443 (2015).

(G. Ferretti, R. Ferretti, O. Junge, A. Schreiber) An adaptive multilevel radial basis function scheme for the HJB equation, Proceedings of the 20th IFAC World Congress, Toulouse, France, Paper No. 1951, (2017).

(F. Bornemann, P.J. Forrester, A. Mays) Finite size effects for spacing distributions in random matrix theory: circular ensembles and Riemann zeros, Stud. Appl. Math. 138 , 401-437 (2017). DOI 10.1111/sapm.12160 ; (selected for Highlights of the Year 2017) 

2016

(H. Dietert, J. Keller, S. Troppmann) An invariant class of wave packets for the Wigner transform , Journal of Mathematical Analysis and Applications  (2016).

(A. Denner, O. Junge, D. Matthes) Computing Coherent Sets using the Fokker-Planck Equation , Journal of Computational Dynamics  (2016).

(L. Grüne, O. Junge) Gewöhnliche Differentialgleichungen - Eine Einführung aus der Perspektive der Dynamischen Systeme , 2. Auflage, Springer Spektrum (2016).

(F. Bornemann) On the Scaling Limits of Determinantal Point Processes with Kernels Induced by Sturm-Liouville Operators , SIGMA 12 , 083, 20pp (2016). DOI 10.3842/SIGMA.2016.083 

(D. Karrasch) Lagrangian Transport Through Surfaces in Volume-Preserving Flows , SIAM J. Appl. Math, 76(3), pp. 1178-1190, 2016. DOI 10.1137/15M1051348 

(A. Hadjighasem, D. Karrasch, H. Teramoto, G. Haller) Spectral-clustering approach to Lagrangian vortex detection , Phys. Rev. E, 93(6), 063107, 2016. DOI 10.1103/PhysRevE.93.063107 

(F. Bornemann) Funktionentheorie , 2. Auflage, Birkhäuser, Basel (2016).

(F. Bornemann) The SIAM 100-Digit Challenge: A Decade Later, Jahresber. Dtsch. Math.-Ver. 118 , pp. 87-123 (2016). DOI 10.1365/s13291-016-0137-2 

(F. Bornemann) Numerische lineare Algebra , Springer-Verlag, Berlin, Heidelberg (2016).

(F. Bornemann, A. Its, S. Olver, G. Wechslberger) Numerical Methods for the Discrete Map \(Z^a\) , in: A. Bobenko (Ed.), Advances in Discrete Differential Geometry , Springer-Verlag, pp. 151-176 (2016). DOI 10.1007/978-3-662-50447-5_4 

(J. Keller, C. Lasser, T. Ohsawa) A new Phase Space Density for Quantum Expectations , SIAM J. Math. Anal., 48(1), pp. 513–537 (2016), DOI 10.1137/15M1028388 

(F. Bornemann) A note on the expansion of the smallest eigenvalue distribution of the LUE at the hard edge, Ann. Appl. Probab. 26 , pp. 1942-1946 (2016). DOI 10.1214/15-AAP1121 

(F. Bornemann, P.J. Forrester) Singular values and evenness symmetry in random matrix theory, Forum Math. 28 ; pp. 873-891 (2016). DOI 10.1515/forum-2015-0055 

2015

(A. Bittracher, C. Hartmann, O. Junge, P. Koltai) Pseudo generators for under-resolved molecular dynamics , Eur. Phys. J. Special Topics, 224(12), pp. 2463–2490 (2015). DOI 10.1140/epjst/e2015-02422-y 

(A. Bittracher, P. Koltai, O. Junge) Pseudo generators of spatial transfer operators , SIAM J. Appl. Dyn. Sys. 14(3), p. 1487-1517, (2015). DOI 10.1137/14099872X 

(G. Froyland, O. Junge) On fast computation of finite-time coherent sets using radial basis functions , Chaos 25, 087409  (2015).

(F. Bornemann, M. La Croix) The singular values of the GOE, Random Matrices Theory Appl. 4 , 1550009, 32pp (2015). DOI 10.1142/S2010326315500094 

(A. Belyaev, W. Domcke, C. Lasser, G. Trigila) Nonadiabatic nuclear dynamics of the ammonia cation studied by surface hopping classical trajectory calculatations , J. Chem. Phys., to appear (2015).

(O. Deiser, C. Lasser) Erste Hilfe in Linearer Algebra , Springer Spektrum (2015).

(M. Bongini, M. Fornasier, O. Junge, B. Scharf) Sparse Control of Alignment Models in High Dimension , Networks and Heterogenous Media 10, pp. 647 - 697 (2015).

(O. Junge, A. Schreiber) Dynamic programming using radial basis functions, Discrete and Continuous Dynamical Systems - A, 35(9), p.4439 - 4453 (2015).

(B. Dingfelder, J.A.C. Weideman) An improved Talbot method for numerical Laplace transform inversion , Numer. Algorithms 68, pp. 167-183 (2015). DOI 10.1007/s11075-014-9895-z 

2014

(W. Gaim, C. Lasser) Corrections to Wigner type phase space methods , Nonlinearity 27, pp. 2951-2974 (2014), DOI 10.1088/0951-7715/27/12/2951 

(C. Lasser, S. Troppmann) Hagedorn wavepackets in time-frequency and phase space , J. Fourier An. Appl. 20, pp. 679-714 (2014), DOI 10.1007/s00041-014-9330-9 

(J. Keller, C. Lasser) Quasi-classical description of molecular dynamics based on Egorov's theorem , J. Chem. Phys. 141, 054104, 11 pages, (2014), DOI 10.1063/1.4891517 

(A. Belyaev, C. Lasser, G. Trigila) Landau-Zener type surface hopping algorithms , J. Chem. Phys. 140, 224108, 11 pages (2014), DOI 10.1063/1.4882073 

(P. Koltai, A. Volf) Optimizing the stable behavior of parameter-dependent dynamical systems - maximal domains of attraction, minimal absorption times , Journal of Computational Dynamics Pfeil, 1 (2), pp. 339-356, 2014. DOI 10.3934/jcd.2014.1.339, E-print arXiv:1111.0495 .

(K. Tichmann, O. Junge): A Fully Implicit Alternating Direction Method of Multipliers for the Minimization of Convex Problems with an Application to Motion Segmentation, To appear in: Proceedings of WACV2014.

(P. Koltai, O. Junge) Optimal value functions for weakly coupled systems: a posteriori estimates , ZAMM 94, pp. 345-355 (2014). DOI 10.1002/zamm.201100138 

(S. Jerg, O. Junge, M. Post) Global optimal feedbacks for stochastic quantized nonlinear event systems, Journal of Computational Dynamics 1, pp. 163-176 (2014).

(J.P. Lessard, J. Mireles James, C. Reinhardt) Computer assisted proof of saddle-to-saddle connections of first order vector fields, accepted in Journal of Dynamics and Differential Equations

(J.P. Lessard, C. Reinhardt) Rigorous numerics for nonlinear ODEs using Chebyshev series , with Jean-Philippe Lessard, SIAM J. Numer. Anal. 52-1 (2014), pp. 1-22

(G. Wechslberger, F. Bornemann) Automatic deformation of Riemann-Hilbert problems with applications to the Painlevé II transcendents, Constr. Approx. 39 , pp. 151-171 (2014). DOI 10.1007/s00365-013-9199-x 

2013

(C. Fermanian Kammerer, P. Gerard, C. Lasser) Wigner Measure Propagation and Conical Singularity for General Initial Data , Arch. Rat. Mech. An. 209, pp. 209-236 (2013), DOI 10.1007/s00205-013-0622-z 

(L. Grüne, S. Hirche, O. Junge, P. Koltai, D. Lehmann, J. Lunze, A. Molin, R. Sailer, M. Sigurani, C. Stöcker, F. Wirth) Event-Based Control, in: Lunze, J. (ed.): Control Theory of Digitally Networked Dynamics Systems, Springer, 2013.

(J. Keller, C. Lasser) Propagation of Quantum Expectations with Husimi Functions , SIAM J. Appl. Math. 73 , pp. 1557-1581 (2013). DOI 10.1137/120889186 .

(N.S. Witte, F. Bornemann, P.J.Forrester) Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles, Nonlinearity 26 , pp. 1799-1822 (2013). DOI 10.1088/0951-7715/26/6/1799 .

(F. Bornemann, G. Wechslberger) Optimal Contours for High-Order Derivatives, IMA J. Numer. Anal. 33 , pp. 403-412 (2013). DOI 10.1093/imanum/drs030 .

(P. Aston, O. Junge) Computing the Invariant Measure and the Lyapunov Exponent for One-Dimensional Maps using a Measure-Preserving Polynomial Basis. , Math. Comp. , (2013). DOI 10.1090/S0025-5718-2013-02811-6 

(G. Froyland, O. Junge, P. Koltai) Estimating long term behavior of flows without trajectory integration: the infinitesimal generator approach. SIAM J. Numer. Anal. , 51(1), pp. 223–247 (2013).

(F. Bornemann) Funktionentheorie , Birkhäuser, Basel (2013).

(S. Tari) Fluctuating Distance Fields, Parts, Three-Partite Skeletons. In: Innovations in Shape Analysis (eds. M. Breuss, A. Bruckstein, P. Maragos) , Springer Series in Mathematics and Visualization (2013). (reachable as the sample chapter of the book )

(S. Tari, M. Genctav) From a Non-local Ambrosio-Tortorelli to a Randomized Part Hierarchy Tree , Journal of Mathematical Imaging and Vision , (2013).

(J. Bergbauer, S. Tari) Wimmelbild Analysis with Approximate Curvature Coding Distance Images , Scale Space and Variational Methods in Computer Vision, LNCS 7893(Springer), pp. 489–500  (2013).

(J. Bergbauer, S. Tari) Top-down Visual Search in Wimmelbild , SPIE Human Vision and Electronic Imaging (2013).

2012

(S. Xiang, F. Bornemann) On the convergence rates of Gauss and Clenshaw-Curtis quadrature for functions of limited regularity. SIAM J. Numer. Anal. 50 , pp. 2581-2587 (2012). DOI 10.1137/120869845 .

(C.M. Campos, O. Junge, S. Ober-Blöbaum) Higher order variational time discretization of optimal control problems , in: Proc. 20th MTNS, (2012).

(S. Jerg, O. Junge) Lazy global feedbacks for quantized nonlinear event systems , in: Proc. 7th IFAC Symposium on Robust Control Design, (2012).

(C. Fermanian Kammerer, C. Lasser) Single switch surface hopping for molecular quantum dynamics, J. Math. Chem. 50(3), pp. 620-635 (2012). DOI 10.1007/s10910-011-9816-5 

(S. Tari, M. Genctav) From a Modified Ambrosio-Tortorelli to a Randomized Hierarchy Tree , Scale Space and Variational Methods in Computer Vision, LNCS 6667 (Springer), 267-271 (2012).

2011

(O. Deiser, C. Lasser, E. Vogt, D. Werner) 12 x 12 Schlüsselkonzepte zur Mathematik , Springer Spektrum, Heidelberg (2011).

(P. Koltai) A stochastic approach for computing the domain of attraction without trajectory simulation , Discrete and Continuous Dynamical Systems, Supplement 2011 , pp. 854-863.

(T. März) Image Inpainting Based On Coherence Transport With Adapted Distance Functions. SIAM J. Imaging Sci. 4 , pp. 981-1000 (2011). DOI 10.1137/100807296 

(F. Bornemann) Accuracy and Stability of Computing High-Order Derivatives of Analytic Functions by Cauchy Integrals. Found. Comput. Math. 11 , pp. 1-63 (2011). DOI 10.1007/s10208-010-9075-z .

2010

(S. Jerg, O. Junge) Delay-optimal global feedbacks for quantized networked event systems. In: Proc. 19th MTNS, Budapest, Hungary, pp. 1395-1398 (2010).

(F. Bornemann) On the Numerical Evaluation of Distributions in Random Matrix Theory: A Review. Markov Processes Relat. Fields , pp. 803-866 (2010).

(C. Lasser, S. Röblitz) Computing expectation values for molecular quantum dynamics, SIAM J. Sci. Comput. 32, pp. 1465-1483 (2010). DOI 10.1137/090770461 .

(C. Lasser, A. Kenfack, F. Marquardt, G. Paramonov, I. Barth, B. Paulus) Initial state dependence of coupled electronic and nuclear fluxes in molecules , Phys. Rev. A 81, 052502, 7 pp. (2010). DOI 10.1103/PhysRevA.81.052502 .

(S. Ober-Blöbaum, O. Junge, J.E. Marsden) Discrete Mechanics and Optimal Control: an Analysis , ESAIM:COCV, E-first, (2010). DOI 10.1051/cocv/2010012 .

(L. Grüne, S. Jerg, O. Junge, D. Lehmann, L. Lunze, F. Müller, M. Post) Two complementary approaches to event-based control, at Automatisierungstechnik, 58 (2010) 4, pp. 173-183. DOI 10.1524/auto.2010.0832 .

(F. Bornemann) Asymptotic Independence of the Extreme Eigenvalues of GUE. J. Math. Phys. 51 , 023514, 8pp. (2010). DOI 10.1063/1.3290968 .

(F. Bornemann) On the Numerical Evaluation of Fredholm Determinants. Math. Comp. 79 , pp. 871-915 (2010). DOI 10.1090/s0025-5718-09-02280-7 .

2009

(O. Junge, P. Koltai) Discretization of the Frobenius-Perron operator using a sparse Haar tensor basis - the Sparse Ulam method . SIAM Journal on Numerical Analysis, 47(5), pp. 3464-3485  (2009).

(G. Friesecke, O. Junge, P. Koltai) Mean field approximation in conformation dynamics , Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal , Volume 8, Issue 1, pp. 254-268 (2009).

(O. Junge, L. Grüne) Set oriented construction of globally optimal controllers, at - Automatisierungstechnik , 57 (6):287-295, (2009). DOI 10.1524/auto.2009.0777 

(O. Schütze, M. Vasile, O. Junge, M. Dellnitz, D. Izzo) Designing Optimal Low Thrust Gravity Assist Trajectories Using Space Pruning and a Multi-Objective Approach. Engineering Optimization, 41 (2):155-181, 2009. DOI 10.1080/03052150802391734 

(S. Ross, S. Jerg, O. Junge) Optimal capture trajectories using multiple gravity assists, Communications in Nonlinear Science and Numerical Simulations, (2009). DOI 10.1016/j.cnsns.2008.12.009 

2008

(C. Rasch, T. Satzger) Remarks on the O(N) Implementation of the Fast Marching Method. IMA Journal of Numerical Analysis, Advance Access (2008), DOI 10.1093/imanum/drm028 .

(T. A. Driscoll, F. Bornemann, L. N. Trefethen) The Chebop System for Automatic Solution of Differential Equations. BIT 48 , pp. 701-723 (2008). DOI 10.1007/s10543-008-0198-4 .

(F. Bornemann, P. L. Ferrari, M. Prähofer) The Airy1 process is not the limit of the largest eigenvalue in GOE matrix diffusion. J. Stat. Phys. 133 , pp. 405-415 (2008). DOI 10.1007/s10955-008-9621-0 .

(L. Grüne, O. Junge) Gewöhnliche Differentialgleichungen - Eine Einführung aus der Perspektive der Dynamischen Systeme , Vieweg+Teubner (2008).

(F. Bornemann) Konkrete Analysis , Springer-Verlag, Berlin, Heidelberg, New York (2008).

(L. Grüne, O. Junge) Global optimal control of perturbed systems  , JOTA 136(3) , pp. 411-429, (2008).

2007

(F. Bornemann, T. Schmelzer) Taming a Hydra of Singularities. Amer. Math. Monthly 114 , pp. 727-732 (2007).

(F. Bornemann, T. März) Fast Image Inpainting Based on Coherence Transport. J. Math. Imaging Vis. 28 , pp. 259-278 (2007). DOI 10.1007/s10851-007-0017-6 .

(K. Padberg, Th. Hauff, F. Jenko, O. Junge) Lagrangian structures and transport in turbulent magnetized plasmas. New Journal of Physics 9 (2007) 400.

(F. Bornemann) A Model for Understanding Numerical Stability. IMA Journal of Numerical Analysis 27 , pp. 219-231 (2007). DOI 10.1093/imanum/drl037 .

(L. Grüne, O. Junge) Approximately optimal nonlinear stabilization with preservation of the Lyapunov function property. Proceedings of the 46th IEEE Conference on Decision and Control, 2007.

(O. Chinellato, P. Arbenz) On solving complex-symmetric eigenvalue problems arising in the design of axisymmetric VCSEL devices  , Applied Numerical Mathematics, accepted (2007).

(F. Römer, L. Balet, O. Chinellato, L. H. Li, N. Le Thomas, R. Houdré, M. Francardi, A. Gerardino, A. Fiore, B. Witzigmann) Investigation of the Optical Farfield of Photonic Crystal Microcavities  , to appear in Proceedings of SPIE Photonics West (OPTO 2007), 2007.

(M. Vasile, O. Schütze, O. Junge, G. Radice, M. Dellnitz) Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers  Technical Report, European Space Agency, Study AO 05/4106, 2007.

2006

(F. Bornemann, D. Laurie, S. Wagon, J. Waldvogel) Vom Lösen numerischer Probleme, Springer-Verlag, Berlin, Heidelberg, New York (2006).

(M. Dellnitz, O Junge, M. Post, B. Thiere) On target for Venus - set oriented computation of energy efficient low thrust trajectories Celestial Mechanics and Dynamical Astronomy, *95*(1-4):357-370, 2006.

(O. Junge, J.E. Marsden, S., Ober-Blöbaum) Optimal Reconfiguration of Formation Flying Spacecraft - a Decentralized Approach , Proceedings of the 45th IEEE Conference on Decision and Control, pp. 5210-5215 (2006).

(M. Dellnitz, O. Junge, A. Krishnamurthy, S. Ober-Blöbaum, K. Padberg, R. Preis) Efficient Control of Formation Flying Spacecraft New Trends in Parallel & Distributed Computing, Heinz Nixdorf Institut Verlagsschriftenreihe 181, pp. 235-247, 2006.

(F.Bornemann, C. Lasser and T. Swart) Energy level crossings in molecular dynamics. In: A. Mielke (Ed.), Analysis, Modeling, and Simulation of Multiscale Problems, pp. 577-594, Springer-Verlag (2006).

(M. Dellnitz, O. Junge) Set oriented numerical methods in space mission design Gurfil, P. (ed.): Modern Astrodynamics, Vol. I, pp. 127-153, Elsevier, 2006.

(L. Grüne, O. Junge): Optimal stabilization of hybrid systems using a set oriented approach, Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems, Japan, pp. 2089-2093 (2006).

(O. Junge, S. Ober-Blöbaum): Optimal reconfiguration of formation flying satellites, Proceedings of the 44th IEEE CDCD/ECC, (2006).

(F. Bornemann, C. Rasch) Finite-Element Discretization of Static Hamilton-Jacobi Equations Based on a Local Variational Principle. Comput. Visual Sci. 9   , pp. 57-69 (2006). MR 2007c:65102.

2005

(L. Grüne, O. Junge) Constructing robust feedback laws by set oriented numerical methods, Proceedings in Applied Mathematics and Mechanics, 5(1):157-160, (2005).

(A. Baker, M. Dellnitz, O. Junge) A topological method for rigorously computing periodic orbits using Fourier modes, Discrete and Continuous Dynamical Systems, 13(4): 901-920, (2005).

(M. Dellnitz, O. Junge, Wang, F.: Exploring the dynamics of nonlinear models for a piezoceramic, Proceedings of the ENOC, (2005).

(M. Dellnitz, O. Junge, M.W. Lo, J.E. Marsden, K. Padberg, B. Thiere) Transport of Mars-crossing asteroids from the quasi-Hilda region, Physical Review Letters, 94, 231102, (2005).

(O. Junge, J.E. Marsden, S. Ober-Blöbaum) Geometric mechanics and optimal control, Proceedings of the 16th IFAC World Congress, (2005).

(A.Iske) Ader Schemes on Adaptive Triangular Meshes for Scalar Conservation Laws , Journal of Computational Physics 205(2), 486-508, (2005).

(B. Krauskopf, H.M. Osinga, E.J. Doedel, M.E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz, O. Junge) A survey of methods for computing (un)stable manifolds of vector fields, International Journal of Bifurcation and Chaos, 15, 763-792, (2005).

(M. Dellnitz, O. Junge, W.S. Koon, F. Lekien, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, Sh.D. Ross, B. Thiere) Transport in Dynamical Astronomy and Multibody Problems, International Journal of Bifurcation and Chaos, 15(3), 699-727, (2005).

(L. Grüne, O. Junge) A set oriented approach to optimal feedback stabilization, Systems and Control Letters, 54(2), 169-180, (2005).

(A. Iske, M. Käser) Two-Phase Flow Simaultion by AMMoC, an Adaptive Meshfree Method of Characteristics , Computer Modelling in Engeneering & Sciences (CMES), 7(2), (2005).

(M. Käser,A.Iske) Mathematical Methods and Modelling in Hydrocarbon Exploration and Production , Reservoir Flow Simulation by Adaptive ADER Schemes, (2005).

(L. Demaret, N. Dyn, M.S. Floater,and A. Iske) Adaptive Thinning for Terrain Modelling and Image Compression , in Advances in Multiresolution for Geometric Modelling, N.A. Dodgson, M.S. Floater and M.A. Sabin (eds.), Springer-Verlag, Heidelberg, 321-340, (2005).

(J. Behrens, L. Mentrup) A conservative scheme for 2D and 3D adaptive semi-Lagrangian advection , in Proceedings of Recent Advances of Adaptive Computation, Z.-C. Shi, Z. Shen, T. Tang, D. Yu (Hrsg.), Contemporary Mathematics 383, American Mathematical Society (AMS), Providence, Rhode Island, USA, 219-234, (2005). (AMS Bookstore )

(J. Behrens) Multilevel optimization by space-filling curves in adaptive atmospheric modeling, in Frontiers in Simulation � 18th Symposium on Simulation Techniques, F. Hülsemann, M. Kowarschik, U. Rüde. (Hrsg.), SCS Publishing House, Erlangen, 186-196, (2005). (Preprint available online).

(J. Behrens) Adaptive Atmospheric Modeling - Scientific Computing at its Best  , in Computing in Science and E-ngineering, 7 (4),76-83,(2005).

(J. Behrens, N. Rakowsky, W. Hiller, D. Handorf, M. Läuter, J. Päpke und K. Dethloff) amatos: parallel adaptive mesh generator for atmospheric and oceanic simulation  , Ocean Modelling, 10, (1-2), 171-183, (2005).

(C. Lasser, S. Teufel) Propagation through conical crossings: an asymptotic semigroup , (English summary), Comm. pure Appl. Math. 58, no. 9, 1188-1230, (2005).

2004

(A.Iske, M. Käser) Conservative Semi-Lagrangian Advection on Adaptive Unstructered Meshes. Numerical Methods for Partial Differential Equations  , 20(3), 388-411, (2004).

(M. Lintner) The eigenvalue problem for the 2D Laplacian in%$\mathcal{H}$%-matrix arithmetic and application to the heat and wave equation  , (English summary), Computing 72, no . 3-4, 293-323, (2004).

(F. Bornemann, D. Laurie, S. Wagon, J. Waldvogel) The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing, Society of Industrial Applied Mathematics (SIAM), Philadelphia (2004). MR 2005c:65002 ; Zbl 1060.65002 .

(F. Bornemann, D. Laurie, S. Wagon, J. Waldvogel) Challenges in Numerical Computation. In: T. E. Simos et al. (Eds.), Proc. ICNAAM 2004, pp. 232-234, Wiley-VCH (2004). Zbl 1060.65570.

(A.Iske) Multiresolution Methods in Scattered Data Modelling  , Lecture Notes in Computational Science and Engeneering, Vol.37, ISBN 3-540-20479-2, Springer-Verlag, Heidelberg, (2004).

(A. Iske) Adaptive Irregular Sampling in Meshfree Flow Simulation, in Sampling, Wavelets, and Tomography  , J. Benedetto and A. Zayed (eds.), Applied and Numerical Harmonic Analysis, Birkhäuser, Boston, 289-309, (2004).

(A. Iske, L. Demaret) Advances in Digital Image Compression by Adaptive Thinning  , Annals of the MCFA 3, 105 - 109, (2004).

2003

(L. Demaret, A. Iske) Scattered Data Coding in Digital Image Compression  , in Curve and Surface Fitting: Saint-Malo 2002, A. Cohen, J.-L. Merrien, L.L. Schumaker (eds.), Nashboro Press, Brentwood, 107-117, (2003).

(L. Demaret, A. Iske) On the Approximation Order and Numerical Stability of Local Lagrange Interpolation by Polyharmonic Splines, in Modern Developments in Multivariate Approximation  , W. Hausmann, K. Jetter, M. Reimer, J. Stöckler (eds), International Series of Numerical Mathematics 145, Birkhäuser Verlag, Basel, 153-165, (2003).

(F. Bornemann, A. Schiela) Sparsing in Real Time Simulation. Z. angew. Math. Mech. 83 , pp. 637-647 (2003). MR 2004j:65107; Zbl. 1032.65089.

(C. Lasser, A. Toselli) An overlapping domain decomposition preconditioner for a class of continuous Galerkin approximations of advection-diffusion problems  (English summary). Math. Comp. 72, (2003), no.243, 1215-1238 (electronic). 65N55 (65N22 65N30 76M25)

(C. Fermanian Kammerer, C. Lasser) Wigner measures and codimension two crossings  (English summary), J. Math. Phys. 44, no. 2, 507-527 ( Rewiever Stefan Teufel) 81V55 (81Q05), (2003).

(J. Behrens, A. Iske und M. Käser) Adaptive Meshfree Method of Backward Characteristics for Nonlinear Transport Equations  , in Meshfree Methods for Partial Differential Equations, M. Griebel und M. A. Schweitzer (Hrsg.), Springer Verlag, 21-36, (2003).

(A. Iske) Radial Basis Functions: Basics, Advanced Topics, and Meshfree Methods for Transport Equations  , Rendiconti del Seminario Matematico 61 (3), 247-286, (2003).

(A. Iske) Progressive Scattered Data Filtering  , Journal of Computational and Applied Mathematics 158(2), 297-316, (2003).

2002

(A. Iske, E. Quak, M.S. Floater) Tutorials on Multiresolution in Geometric Modelling  , Mathematics+Visualization, Springer Verlag, Heidelberg, (2002).

(F.Bornemann) Normen zur Charakterisierung der schwach*-Konvergenz beschränkter Folgen. Math. Semesterber. 48 , pp. 247-260 (2002). MR 2003h:46030; Zbl. 1032.46010.

(F.Bornemann, P. Deuflhard) Scientific Computing with Ordinary Differential Equations, Springer Verlag, New York, Heidelberg, Berlin (2002).

(A. Iske) Scattered Data Modelling using Radial Basis Funktions in Tutorials on Multiresolution in Geometric Modelling  , Springer Verlag, Heidelberg, 205 - 242, (2002).

(F. Bornemann, P. Deuflhard) Numerische Mathematik II Gewöhnlicher Differentialgleichungen, 2.vollständig überarbeitete und erweiterte Auflage. Verlag Walter de Gruyter, Berlin, New York (2002).

(J. Behrens, A. Iske, M. Käser) in Adaptive Meshfree Method of Backward Characteristics for Nonlinear Transport Equations  in Meshfree Methods for Partial Differential Equations, M. Griebel and M. A. Schweitzer (eds.), Springer Verlag, Heidelberg (2002).

(N. Dyn, M.S. Floater, A. Iske) Adaptive Thinning for Bivariate Scattered Data  , Journal of Computational and Applied Mathematics 145(2), 505-517, (2002).

(J. Behrens, A. Iske, S. Pöhn) Grid-free Adaptive Semi-Lagrangian advection using radial basis functions  ,Computers and Mathematics with Applications 43(3-5), 319-327 (2002).

2001

(J. Behrens, A. Iske, S. Pöhn) Effective node adaption for grid-free semi-Lagrangian advection  , in Discrete Modelling and Discrete Algorithms in Continuum Mechanics, Th. Sonar and I. Thomas (eds.), Logos Verlag, Berlin, 110-119 (2001).

(F. Bornemann) Runge-Kutta Methods, Trees, and Maple. Selçuk J. Appl. Math. 2, pp. 3-15 (2001). Zbl. 1011.65051. Version using Mathematica: E-print arXiv:math.NA/0211049 .

(C. Lasser, A. Toselli) Convergence of some two-level overlapping domain decomposition preconditioners with smoothed aggregation coarse spaces  , (English summary) Recent developments in domain decomposition methods (Zürich, 2001), 95--117,Lect. Notes Comput. Sci. Eng., 23, Springer, Berlin, 2002. 65N22 (65N30 65N55)

(A. Iske) Hierarchical Scattered Data Filtering for Multilevel Interpolation Schemes  in Mathematical Methods for Curves and Surfaces: Oslo 2000, T. Lyche and L. L. Schumaker (eds.), Vanderbilt University Press, Nashville, 2001, 211-221.

(J. Behrens, A. Iske, S. Pöhn) Effective node adaption for grid-free semi-Lagrangian advection  , in Proceedings of the GAMM Workshop Discrete Modelling and Discrete Algorithms in Continuum Mechanics, Nov. 24-25, 2000, Technical University of Brunswick, Germany, Th. Sonar und I. Thomas (Hrsg.), Logos Verlag, 2001, 110-119

(J. Behrens) Parallelizing an Adaptive Dynamical Grid Generator in a Climatological Trace Gas Transport Application  , in Applied Parallel Computing: New Paradigms for HPC in Industry and Academia, 5th International Workshop PARA 2000, Bergen, Norway, June 2000, Proceedings, T. Sørevik, F. Manne, R. Moe, A. H. Gebremedhin (Hrsg.), Lecture Notes in Computer Science 1947, Springer-Verlag, 2001, 170-176.

2000

(C. Lasser, A. Toselli) Overlapping preconditioners for discontinuous Galerkin approximations of second order problems  Domain decomposition methods in science and engineering (Lyon, 2000), 78--84, Theory Eng. Appl. Comput. Methods, Internat. Center Numer. Methods Eng. (CIMNE), Barcelona, 2002. 65N22 (65F10 65N30 65N55)

(N. Dyn, M.S. Floater, A. Iske) Univariate Adaptive Thinning  , in Mathematical Methods for Curves and Surfaces: Oslo 2000, T. Lyche and L. L. Schumaker (eds.), Vanderbilt University Press, Nashville, 2001, 123-134

(J. Behrens, K. Dethloff, W. Hiller, A. Rinke) Evolution of Small Scale Filaments in an Adaptive Advection Model for Idealized Tracer Transport  , in Monthly Weather Review, 128, 2000, 2976-2982

(J. Behrens, J. Zimmermann) Parallelizing an Unstructured Grid Generator with a Space-Filling Curve Approach  , in Euro-Par 2000 Parallel Processing, 6th International Euro-Par Conference, Munich, Germany, August/September 2000, Proceedings, A. Bode, T. Ludwig, W. Karl, R. Wismüller (Hrsg.), Lecture Notes in Computer Science 1900, Springer-Verlag, 2000, 815-823.

1999

(A. Iske) Reconstruction of Smooth Signals from Irregular Samples by using Radial Basis Function Approximation  in Proceedings of the 1999 International Workshop on Sampling Theory and Applications,The Norwegian University of Science and Technology, Trondheim, 1999, 82-87

(F. Bornemann, C. Schütte) Adaptive Accuracy Control of Car-Parrinello Simulations. Numer. Math. 83, pp. 179-186 (1999). MR 2000e:65122; Zbl. 933.81005.

(F. Bornemann, C. Schütte) On the Singular Limit of the Quantum-Classical Molecular Dynamics Model. SIAM J. Appl. Math. 59  , pp. 1208-1224 (1999). MR 2000c:81067; Zbl. 926.34073.

(F. Bornemann, C. Schütte) Approximation Properties and Limits of the Quantum-Classical Molecular Dynamics Model. In: P. Deuflhard, J. Hermans et al. (Eds.), ''Computational Molecular Dynamics: Challenges, Methods, Ideas'', pp. 380-395, Springer-Verlag (1999). MR 2000g:81003; Zbl. 966.81063.

1998

(M.S. Floater, A. Iske) Thinning algorithms for scattered data interpolation  ,BIT 38(4), 1998, 705-720

(F. Bornemann) Homogenization in Time of Singularly Perturbed Mechanical Systems. Lecture Notes in Mathematics 1687 , Springer-Verlag, Berlin, Heidelberg, New York (1998). MR 99g:34105; Zbl. 902.34051.

(F. Bornemann, M. Schemann) An Adaptive Rothe Method for the Wave Equation. Comput. Visual Sci.1 , pp. 137-144 (1998). Zbl. 915.65105.

(F. Bornemann, R. Krause) Classical and Cascadic Multigrid - A Methodological Comparison. In: P. Bjorstad, M. Espedal, D. Keyes (Eds.), ``Proc. 9th Int'l. Conference on Domain Decomposition Methods 1996, Ullensvang, Norway'', pp. 64-71, Domain Decomposition Press, Bergen 1998.

(F. Bornemann, C. Schütte) A Mathematical Investigation of the Car-Parrinello Method. Numer. Math. 78  , pp. 359-376 (1998). MR 99d:81183; Zbl. 887.34026.

(J. Behrens) Atmospheric and Ocean Modelling with an Adaptive Finite Element Solver for the Shallow-Water Equations  , in Applied Numerical Mathematics, 26:1-2, 1998, 217-226.