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
Johann Sigursteinn BjornssonVerified email at ru.is
Martin RasmussenImperial College LondonVerified email at imperial.ac.uk
Christopher M. KellettProfessor, The Australian National UniversityVerified email at anu.edu.au
Skuli GudmundssonReykajvik UniversityVerified email at sek.se
Reinhard BlickhanProfessor Motion ScienceVerified email at uni-jena.de
Enrico ScalasProfessor of Statistics and Probability, University of Sussex, UKVerified email at sussex.ac.uk
Najla MohammedUmm Al-Qura UniversityVerified email at uqu.edu.sa
Iman mehrabinezhadResearcher, University of IcelandVerified email at hi.is
Boumediene HamziMarie Curie Fellow, Department of Mathematics, Imperial College LondonVerified email at imperial.ac.uk
Kevin WebsterSenior Teaching Fellow, Imperial College LondonVerified email at imperial.ac.uk
Jürgen GieslProfessor of Computer Science, RWTH Aachen UniversityVerified email at informatik.rwth-aachen.de
Katja MombaurProfessor, University of Waterloo, CanadaVerified email at uni-hd.de
Conor OsborneMathematics PhD Student, Maxwell InstituteVerified email at ed.ac.uk

Peter Giesl

Professor in Mathematics, University of Sussex, UK

Verified email at sussex.ac.uk - Homepage

Dynamical Systems Numerical Analysis


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
Construction of global Lyapunov functions using radial basis functions P Giesl Springer, 2007	139	2007
Review on computational methods for Lyapunov functions P Giesl, S Hafstein Discrete & Continuous Dynamical Systems-B 20 (8), 2291, 2015	137	2015
Meshless collocation: Error estimates with application to dynamical systems P Giesl, H Wendland SIAM Journal on Numerical Analysis 45 (4), 1723-1741, 2007	93	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	58	2014
Computation and verification of Lyapunov functions P Giesl, S Hafstein SIAM Journal on Applied Dynamical Systems 14 (4), 1663-1698, 2015	43	2015
Construction of a local and global Lyapunov function using radial basis functions P Giesl IMA journal of applied mathematics 73 (5), 782-802, 2008	33	2008
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	31	2014
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	28	2012
Necessary conditions for a limit cycle and its basin of attraction P Giesl Nonlinear Analysis: Theory, Methods & Applications 56 (5), 643-677, 2004	27	2004
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	25	2014
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	25	2007
Existence of piecewise linear Lyapunov functions in arbitrary dimensions P Giesl, S Hafstein Discrete & Continuous Dynamical Systems 32 (10), 3539, 2012	23	2012
Computation of Lyapunov functions for systems with multiple local attractors J Björnsson, P Giesl, SF Hafstein, CM Kellett Discrete & Continuous Dynamical Systems 35 (9), 4019, 2015	22	2015
Analysing Dynamical Systems C Argáez, S Hafstein, P Giesl Proceedings of the 7th International Conference on Simulation and Modeling …, 2017	21	2017
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	21	2013
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	21	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	21	2010
Converse theorems on contraction metrics for an equilibrium P Giesl Journal of Mathematical Analysis and Applications 424 (2), 1380-1403, 2015	20	2015
Computational approach for complete Lyapunov functions C Argáez, P Giesl, SF Hafstein Dynamical Systems Theory and Applications, 1-11, 2017	18	2017
Lyapunov function and the basin of attraction for a single-joint muscle-skeletal model P Giesl, H Wagner Journal of Mathematical Biology 54 (4), 453-464, 2007	18	2007

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