[University of Surrey] [School of Electronics and Physical Sciences] [Department of Mathematics] [Symmetry in Nonlinear Systems] [ROSE] [IRIS]

Frank Schilder (Lecturer in Mathematics) Department of Mathematics University of Surrey Guildford, GU2 7XH United Kingdom Tel.: 0 (044) 1483 / 68-2633 e-mail: f.schilder@surrey.ac.uk

Teaching material: MAT2001: Numerical and Computational Methods

Publications under review: Arnol'd tongues for a resonant injection-locked frequency divider: analytical and numerical results [] M. V. Bartuccelli, J. H.B. Deane, G. GentileFS; 2009. An extended continuation problem for bifurcation analysis in the presence of constraints [] H. Dankowicz, FS; 2009. Sympercon - a Package for Computational Bifurcation Analysis of Symmetric (Relative) Periodic Orbits [] FS, C. Wulff; 2009. Numerical bifurcation of Hamiltonian relative periodic orbits [] C. Wulff, FS; 2008. Journal publications Exploring the performance of a nonlinear tuned mass damper [preprint, journal] N.A. Alexander, FS; Journal of Sound and Vibrations, to appear, 2008. Investigation of the Stochastic Taylor Model in Planar Simulations [preprint, journal] M.R. Tonks, A.J. Beaudoin, FS, D.A. Tortorelli; Journal of Applied Mechanics, Vol. 75, No. 5, 051001, 2008. Efficient computation of quasiperiodic oscillations in nonlinear systems with fast rotating parts [preprint, journal] FS, J. Rübel, J. Starke, H.M. Osinga, B. Krauskopf and M. Inagaki; Nonlinear Dynamics, Vol. 51, No. 4, pp. 529-539, 2008. Computing Arnol'd tongue scenarios [preprint, journal] FS, Bruce B. Peckham; Journal of Computational Physics, Vol. 220, No. 2, pp. 932-951, 2006. Fourier methods for quasi-periodic oscillations [preprint, journal] FS, W. Vogt, S. Schreiber, H.M. Osinga; International Journal for Numerical Methods in Engineering, Vol. 67, No. 5, pp. 629-671, 2006. Continuation of quasiperiodic invariant tori [preprint, journal] FS, H.M. Osinga, W. Vogt; SIAM Journal on Applied Dynamical Systems, Vol. 4, No. 3, pp. 459-488, 2005. Steady Kinetic Boundary Value Problems [preprint, journal] H. Babovsky, D. Görsch, FS; Series on Advances in Mathematics for Applied Sciences 63 (2003), pp. 133-158. Proceedings, thesis, preprints Computing Arnol'd tongue scenarios: some recent advances [preprint] FS; Proceedings of the 2006 International Symposium on Nonlinear Theory and its Applications (NOLTA2006), 11-14 September 2006, Bologna, Italy. Algorithms for Arnol'd tongues and quasi-periodic tori: A case study [preprint] FS; Proceedings of the Fifth EUROMECH Nonlinear Dynamics Conference (ENOC-2005), 7-12 August 2005, Eindhoven, Netherlands, No. 16-100. Numerische Approximation quasiperiodischer invarianter Tori unter Anwendung erweiterter Systeme [electronic publication] FS; Dissertation, TU Ilmenau, 2004. (PhD thesis) Torcont v1 (2003) User Manual [preprint, software] FS; Applied Nonlinear Mathematics Preprint 2004.18, University of Bristol, 2004. A Generalized Fourier Method for Quasi-periodic Oscillations in Nonlinear Circuits [preprint] FS, W. Vogt; Proceedings of the 48th Int. Wiss. Kolloquium, 22.-25.09.2003, TU Ilmenau, pp. 369-370. Semidiscretisation Methods for Quasi-periodic Solutions, [journal] FS, W. Vogt; PAMM Proceedings in Applied Mathematics and Mechanics, Vol. 2 (2003), pp. 497-498. Computation and continuation of invariant 2-tori [preprint] FS, W. Vogt; Proceedings EQUADIFF 10, 27.-31.8.2001, Prag, pp. 363-377. Time domain simulation of Sigma Delta A/D converters using Ptolemy [preprint, software] FS; Preprint No. 98-19, Technische Universität Ilmenau, 1998. Software Rauto: running AUTO more efficiently, Download (TGZ), Documentation (PDF) current stable version of torcont sources (and some binaries) of my outdated software Some links MathPages DS Web Bristol Centre for Applied Nonlinear Mathematics Department of Numerical Analysis, TU Ilmenau bi-Studentenclub Friedrich Naumann Stiftung VSA

[Department of Mathematics] [Symmetry in Nonlinear Systems] [ROSE] [IRIS] [University of Surrey] [School of Electronics and Physical Sciences]