World's Best Scientists 2026 revealed!

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Mathematics

D-Index
32
Citations
14885
World Ranking
3088
National Ranking
189

Overview

Kai Diethelm is affiliated with Technische Universität Braunschweig in Germany. Their research primarily focuses on mathematics, with a specialization in fractional differential equations and numerical analysis. They have contributed extensively to the areas of iterative methods for nonlinear equations, modeling and simulation, and applied mathematics.

The main topics of their work include:

  • Fractional Differential Equations Solutions
  • Iterative Methods for Nonlinear Equations
  • Differential Equations and Numerical Methods
  • Nonlinear Differential Equations Analysis
  • Numerical Methods for Differential Equations
  • Differential Equations and Boundary Problems
  • Mathematical Functions and Polynomials

Kai Diethelm's frequent coauthors include:

  • Hoang The Tuan
  • Ha Duc Thai
  • Renu Chaudhary
  • Safoura Hashemishahraki
  • Frank Uhlig

Their research has been published primarily in venues such as:

  • arXiv (Cornell University)
  • IFAC-PapersOnLine
  • Mathematics
  • Fractional Calculus and Applied Analysis
  • Nonlinear Dynamics

Recent papers authored by Kai Diethelm include:

  • "Trends, directions for further research, and some open problems of fractional calculus" (2022), published in Nonlinear Dynamics
  • "Good (and Not So Good) Practices in Computational Methods for Fractional Calculus" (2020), published in Mathematics
  • "Upper and lower estimates for the separation of solutions to fractional differential equations" (2022), published in Fractional Calculus and Applied Analysis
  • "Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems" (2022), published in Fractional Calculus and Applied Analysis
  • "A constructive approach for investigating the stability of incommensurate fractional differential systems" (2024), published in Journal of Mathematical Analysis and Applications

Best Publications

  • Analysis of Fractional Differential Equations

    Kai Diethelm;Neville J. Ford

  • A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations

    Kai Diethelm;Neville J. Ford;Alan D. Freed

  • The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type

    Kai Diethelm

  • Detailed error analysis for a fractional Adams method

    Kai Diethelm;Neville J. Ford;Alan D. Freed

  • Algorithms for the fractional calculus: A selection of numerical methods

    Kai Diethelm;Neville J. Ford;Alan D. Freed;Alan D. Freed;Yury Luchko

  • AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

    Kai Diethelm

  • On the Solution of Nonlinear Fractional-Order Differential Equations Used in the Modeling of Viscoplasticity

    Kai Diethelm;Alan D. Freed

  • A fractional calculus based model for the simulation of an outbreak of dengue fever

    Kai Diethelm

  • Multi-order fractional differential equations and their numerical solution

    Kai Diethelm;Neville J Ford

  • NUMERICAL SOLUTION OF THE BAGLEY-TORVIK EQUATION ∗

    K. Diethelm;J. Ford

  • Multi-Term Caputo Fractional Differential Equations

    Kai Diethelm

  • Numerical Solution of Fractional Order Differential Equations by Extrapolation

    Kai Diethelm;Guido Walz

  • Why fractional derivatives with nonsingular kernels should not be used

    Kai Diethelm;Roberto Garrappa;Andrea Giusti;Martin Stynes

  • Numerical analysis for distributed-order differential equations

    Kai Diethelm;Neville J. Ford

  • Mittag-Leffler Functions

    Kai Diethelm

  • Efficient solution of multi-term fractional differential equations using P(EC) m E methods

    K. Diethelm

  • Pitfalls in fast numerical solvers for fractional differential equations

    Kai Diethelm;Judith M. Ford;Neville J. Ford;Marc Weilbeer

  • Fractional calculus in biomechanics: a 3D viscoelastic model using regularized fractional derivative kernels with application to the human calcaneal fat pad.

    A D Freed;A D Freed;K Diethelm

  • An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives

    Kai Diethelm

  • Trends, Directions for Further Research, and Some Open Problems of Fractional Calculus

    Kai Diethelm;Virginia Kiryakova;Yuri Luchko;J. A. Tenreiro Machado

  • An efficient parallel algorithm for the numerical solution of fractional differential equations

    Kai Diethelm

Frequent Co-Authors

Neville J. Ford
Neville J. Ford University of Chester
Felix Wolf
Felix Wolf Technical University of Darmstadt
J. A. Tenreiro Machado
J. A. Tenreiro Machado Polytechnic Institute of Porto
Christian Bischof
Christian Bischof Technical University of Darmstadt
Allen D. Malony
Allen D. Malony University of Oregon
Vasily E. Tarasov
Vasily E. Tarasov Lomonosov Moscow State University
Martin Stynes
Martin Stynes Beijing Computational Science Research Center
Yuri Luchko
Yuri Luchko Beuth University of Applied Sciences

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