Kai Diethelm

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Neville FordProfessor of Mathematics, University of ChesterVerified email at chester.ac.uk
Enrico ScalasProfessor of Statistics and Probability, University of Sussex, UKVerified email at sussex.ac.uk
Dumitru BaleanuLebanese American University,Beirut, Professor at Institute of Space Sciences,BucharestVerified email at lau.edu.lb
Juan Jose Trujillo Jacinto del CastilloProfessor of Applied Mathematics. Universidad de La LagunaVerified email at ull.edu.es
Yuri LuchkoProfessor of Mathematics, Berlin University of Applied Sciences and Technology, GermanyVerified email at beuth-hochschule.de
Dieter an MeyRWTH Aachen UniversityVerified email at itc.rwth-aachen.de
Andreas KnüpferZIH, TU DresdenVerified email at tu-dresden.de
Allen D. MalonyUniversity of OregonVerified email at cs.uoregon.edu
Felix WolfProfessor of Computer Science, TU DarmstadtVerified email at tu-darmstadt.de
Sameer ShendeResearch Professor and Director, Performance Research Laboratory, University of Oregon andVerified email at cs.uoregon.edu
Dirk SchmidlRWTH Aachen UniversityVerified email at rz.rwth-aachen.de
Judy FordAuthor, Bernie Fazakerley PublicationsVerified email at lmh.oxon.org
Michael WagnerGerman Aerospace Center (DLR)Verified email at dlr.de
Roberto GarrappaDepartment of Mathematics, University of Bari, ItalyVerified email at uniba.it
Martin StynesChair Professor, Beijing Computational Science Research CenterVerified email at ucc.ie
Hoang The TuanAssociate Professor, Institute of Mathematics, VASTVerified email at math.ac.vn
Lubomir RihaCzech Technical University, Bowie State University, George Washington University, IT4InnovationsVerified email at vsb.cz
Andreas Gocht-ZechZIH, TU DresdenVerified email at tu-dresden.de
Per Gunnar KjeldsbergProfessor at Department of Electronic Systems, Norwegian University of Science and Technology (NTNU)Verified email at ntnu.no
Othman BouiziEvidenVerified email at eviden.com

Kai Diethelm

Professor, Technical University of Applied Sciences Würzburg-Schweinfurt

Verified email at arcor.de - Homepage

Fractional calculus numerical mathematics simulation


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
Analysis of fractional differential equations K Diethelm, NJ Ford Journal of Mathematical Analysis and Applications 265 (2), 229-248, 2002	7246	2002
Fractional calculus: models and numerical methods D Baleanu, K Diethelm, E Scalas, JJ Trujillo World Scientific, 2012	2962	2012
Fractional calculus: models and numerical methods D Baleanu, K Diethelm, E Scalas, JJ Trujillo World Scientific, 2012	2871	2012
A predictor-corrector approach for the numerical solution of fractional differential equations K Diethelm, NJ Ford, AD Freed Nonlinear Dynamics 29, 3-22, 2002	2559	2002
Detailed error analysis for a fractional Adams method K Diethelm, NJ Ford, AD Freed Numerical algorithms 36, 31-52, 2004	1071	2004
Algorithms for the fractional calculus: a selection of numerical methods K Diethelm, NJ Ford, AD Freed, Y Luchko Computer methods in applied mechanics and engineering 194 (6-8), 743-773, 2005	835	2005
An algorithm for the numerical solution of differential equations of fractional order K Diethelm Electron. Trans. Numer. Anal 5 (1), 1-6, 1997	806	1997
On the solution of nonlinear fractional-order differential equations used in the modeling of viscoplasticity K Diethelm, AD Freed Scientific computing in chemical engineering II: computational fluid …, 1999	686	1999
Score-p: A joint performance measurement run-time infrastructure for periscope, scalasca, tau, and vampir A Knüpfer, C Rössel, D Mey, S Biersdorff, K Diethelm, D Eschweiler, ... Tools for High Performance Computing 2011: Proceedings of the 5th …, 2012	425	2012
The FracPECE subroutine for the numerical solution of differential equations of fractional order K Diethelm, AD Freed Forschung und wissenschaftliches Rechnen 1999, 57-71, 1998	411	1998
Multi-order fractional differential equations and their numerical solution K Diethelm, NJ Ford Applied Mathematics and Computation 154 (3), 621-640, 2004	392	2004
A fractional calculus based model for the simulation of an outbreak of dengue fever K Diethelm Nonlinear Dynamics 71, 613-619, 2013	372	2013
Numerical solution of the Bagley-Torvik equation K Diethelm, J Ford BIT numerical mathematics 42, 490-507, 2002	363	2002
The analysis of fractional differential equations K Diethelm, NJ Ford Lecture notes in mathematics 2004, 2010	329	2010
Numerical solution of fractional order differential equations by extrapolation K Diethelm, G Walz Numerical algorithms 16, 231-253, 1997	284	1997
The analysis of fractional differential equations, volume 2004 of Lecture Notes in Mathematics K Diethelm Springer-Verlag, Berlin 10, 978-3, 2010	281	2010
Numerical analysis for distributed-order differential equations K Diethelm, NJ Ford Journal of Computational and Applied Mathematics 225 (1), 96-104, 2009	219	2009
The analysis of fractional differential equations: An application-oriented exposition using operators of Caputo type K Diethelm Lecture Notes in Mathematics, 2004	194*	2004
Pitfalls in fast numerical solvers for fractional differential equations K Diethelm, JM Ford, NJ Ford, M Weilbeer Journal of computational and applied mathematics 186 (2), 482-503, 2006	162	2006
Fractional calculus in biomechanics: a 3D viscoelastic model using regularized fractional derivative kernels with application to the human calcaneal fat pad AD Freed, K Diethelm Biomechanics and modeling in mechanobiology 5 (4), 203-215, 2006	144	2006

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