[DTU Homepage] [Department of Mathematics]
[Frank Schilder]
Frank Schilder
(Assistant Professor in Mathematics)

DTU
Department of Mathematics
Building 303S
2800 Kgs. Lyngby
Denmark

Tel.: +45 4525 3035
e-mail: f.schilder@mat.dtu.dk
[ANBA DTU 2011 Logo]
Teaching material: 
Publications under review:

Stabilization of vortices in the wake of a circular cylinder using harmonic forcing [] G.C. Chamoun, FS, M. Brøns.



Sympercon - a Package for Computational Bifurcation Analysis of Symmetric (Relative) Periodic Orbits [] FS, C. Wulff.
Journal publications

An extended continuation problem for bifurcation analysis in the presence of constraints [preprint, journal] H. Dankowicz, FS; ASME Journal of Computational and Nonlinear Dynamics, Vol. 6, No. 3, 031003, 2011.



Arnol'd tongues for a resonant injection-locked frequency divider: analytical and numerical results [preprint, journal] M. V. Bartuccelli, J. H.B. Deane, G. Gentile, FS; Nonlinear Analysis: Real World Applications, Vol. 11, No. 5, pp. 3344-3362, 2010.



Numerical bifurcation of Hamiltonian relative periodic orbits [preprint, journal] C. Wulff, FS; SIAM Journal on Applied Dynamical Systems, Vol. 8, No. 3, pp. 931-966, 2009.



Exploring the performance of a nonlinear tuned mass damper [preprint, journal] N.A. Alexander, FS; Journal of Sound and Vibrations, Vol. 319, No. 1-2, pp. 445-462, 2009.



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

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