Peter Giesl

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Sigurdur HafsteinProfessor for Applied Mathematics, University of IcelandVerified email at hi.is
Holger WendlandProfessor of Numerical Analysis, University of BayreuthVerified email at uni-bayreuth.de
Heiko WagnerProfessor für Bewegungswissenschaft, Universität MünsterVerified email at uni-muenster.de
Iman mehrabinezhadPost-Doctoral Fellow, The Cyprus Institute (CyI)Verified email at cyi.ac.cy
Martin RasmussenImperial College LondonVerified email at imperial.ac.uk
Skuli GudmundssonReykajvik UniversityVerified email at sek.se
Johann Sigursteinn BjornssonVerified email at ru.is
Christoph KawanWiss. Angestellter, Ludwig-Maximilians-Universität MünchenVerified email at lmu.de
Christopher M. KellettProfessor, The Australian National UniversityVerified email at anu.edu.au
Najla MohammedUmm Al-Qura UniversityVerified email at uqu.edu.sa
Enrico ScalasProfessor of Probability and Mathematical Statistics, Sapienza University of Rome, ItalyVerified email at uniroma1.it
Boumediene HamziDepartment of Computing and Mathematical Sciences, Caltech & The Alan Turing InstituteVerified email at imperial.ac.uk
Kevin WebsterSenior Teaching Fellow, Imperial College LondonVerified email at imperial.ac.uk
Reinhard BlickhanProfessor Motion ScienceVerified email at uni-jena.de
Jürgen GieslProfessor of Computer Science, RWTH Aachen UniversityVerified email at informatik.rwth-aachen.de
Stefan SuhrAkademischer Rat, Ruhr-University BochumVerified email at rub.de
Conor OsborneMathematics PhD Student, University of Edinburgh, Heriot-Watt UniversityVerified email at ed.ac.uk
Katja MombaurProfessor, Karlsruhe Institute of Technology, Germany, and University of Waterloo, CanadaVerified email at kit.edu

Peter Giesl

Professor in Mathematics, University of Sussex, UK

Verified email at sussex.ac.uk - Homepage

Dynamical Systems Numerical Analysis


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Review on computational methods for Lyapunov functions P Giesl, S Hafstein Discrete and Continuous Dynamical Systems-B 20 (8), 2291-2331, 2015	292	2015
Construction of global Lyapunov functions using radial basis functions P Giesl Springer 1904 (190), 2007	182	2007
Meshless collocation: Error estimates with application to dynamical systems P Giesl, H Wendland SIAM Journal on Numerical Analysis 45 (4), 1723-1741, 2007	106	2007
Revised CPA method to compute Lyapunov functions for nonlinear systems PA Giesl, SF Hafstein Journal of Mathematical Analysis and Applications 410 (1), 292-306, 2014	84	2014
Computation and verification of Lyapunov functions P Giesl, S Hafstein SIAM Journal on Applied Dynamical Systems 14 (4), 1663-1698, 2015	61	2015
Computation of Lyapunov functions for nonlinear discrete time systems by linear programming P Giesl, S Hafstein Journal of Difference Equations and Applications 20 (4), 610-640, 2014	52	2014
Approximation of Lyapunov functions from noisy data P Giesl, B Hamzi, M Rasmussen, KN Webster arXiv preprint arXiv:1601.01568, 2016	50	2016
Construction of a local and global Lyapunov function using radial basis functions P Giesl IMA journal of applied mathematics 73 (5), 782-802, 2008	44	2008
Construction of Lyapunov functions for nonlinear planar systems by linear programming P Giesl, S Hafstein Journal of Mathematical Analysis and Applications 388 (1), 463-479, 2012	39	2012
Computation of Lyapunov functions for systems with multiple local attractors J Björnsson, P Giesl, SF Hafstein, CM Kellett Discrete and Continuous Dynamical Systems 35, 2015	36	2015
Construction of a CPA contraction metric for periodic orbits using semidefinite optimization P Giesl, S Hafstein Nonlinear Analysis: Theory, Methods & Applications 86, 114-134, 2013	36	2013
On the determination of the basin of attraction of discrete dynamical systems P Giesl Journal of Difference Equations and Applications 13 (6), 523-546, 2007	36	2007
Computation of continuous and piecewise affine Lyapunov functions by numerical approximations of the Massera construction J Björnsson, P Giesl, S Hafstein, CM Kellett, H Li 53rd IEEE Conference on Decision and Control, 5506-5511, 2014	35	2014
Converse theorems on contraction metrics for an equilibrium P Giesl Journal of Mathematical Analysis and Applications 424 (2), 1380-1403, 2015	32	2015
Necessary conditions for a limit cycle and its basin of attraction P Giesl Nonlinear Analysis: Theory, Methods & Applications 56 (5), 643-677, 2004	30	2004
Existence of piecewise linear Lyapunov functions in arbitrary dimensions P Giesl, S Hafstein Discrete Contin. Dyn. Syst 32 (10), 3539-3565, 2012	27	2012
Analysing dynamical systems towards computing complete Lyapunov functions C Argáez, P Giesl, S Hafstein University of Sussex, 2017	25	2017
Areas of attraction for nonautonomous differential equations on finite time intervals P Giesl, M Rasmussen Journal of Mathematical Analysis and Applications 390 (1), 27-46, 2012	25	2012
Existence of piecewise affine Lyapunov functions in two dimensions P Giesl, S Hafstein Journal of Mathematical Analysis and Applications 371 (1), 233-248, 2010	25	2010
Computational approach for complete Lyapunov functions C Argáez, P Giesl, SF Hafstein Dynamical Systems in Theoretical Perspective: Łódź, Poland December 11–14 …, 2018	24	2018

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