Kai Diethelm

Publication Activity (10 Years)

Years Active: 1994-2024
Publications (10 Years): 13

Top Topics

Fractional Order

Differential Equations

Numerical Scheme

Top Venues

J. Comput. Phys.

SIAM J. Numer. Anal.

Publications

Kai Diethelm
Shooting Methods for Fractional Dirichlet-Type Boundary Value Problems of Order α∈(1, 2) With Caputo Derivatives. CoRR (2024)
Kai Diethelm, Safoura Hashemishahraki, Ha Duc Thai, Hoang The Tuan
A constructive approach for investigating the stability of incommensurate fractional differential systems. CoRR (2023)
Kai Diethelm
Diffusive Representations for the Numerical Evaluation of Fractional Integrals. CoRR (2023)
Renu Chaudhary, Kai Diethelm
Revisiting Diffusive Representations for Enhanced Numerical Approximation of Fractional Integrals. CoRR (2023)
Kai Diethelm, Frank Uhlig
A new approach to shooting methods for terminal value problems of fractional differential equations. CoRR (2023)
Renu Chaudhary, Kai Diethelm
Novel Variants of Diffusive Representation of Fractional Integrals: Construction and Numerical Computation. CoRR (2023)
Kai Diethelm, Frank Uhlig
A New Approach to Shooting Methods for Terminal Value Problems of Fractional Differential Equations. J. Sci. Comput. 97 (2) (2023)
Kai Diethelm
A New Diffusive Representation for Fractional Derivatives, Part II: Convergence Analysis of the Numerical Scheme. CoRR (2022)
Kai Diethelm
A New Diffusive Representation for Fractional Derivatives and its Application. CoRR (2022)
Kai Diethelm
Fast Solution Methods for Fractional Differential Equations in the Modeling of Viscoelastic Materials. ICSC (2021)
Kai Diethelm
Fast Solution Methods for Fractional Differential Equations in the Modeling of Viscoelastic Materials. CoRR (2021)
Joseph Schuchart, Michael Gerndt, Per Gunnar Kjeldsberg, Michael Lysaght, David Horák, Lubomír Ríha, Andreas Gocht, Mohammed Sourouri, Madhura Kumaraswamy, Anamika Chowdhury, Magnus Jahre, Kai Diethelm, Othman Bouizi, Umbreen Sabir Mian, Jakub Kruzík, Radim Sojka, Martin Beseda, Venkatesh Kannan, Zakaria Bendifallah, Daniel Hackenberg, Wolfgang E. Nagel
The READEX formalism for automatic tuning for energy efficiency. Computing 99 (8) (2017)
Kai Diethelm
Tools for assessing and optimizing the energy requirements of high performance scientific computing software. CoRR (2016)
Kai Diethelm
Increasing the efficiency of shooting methods for terminal value problems of fractional order. J. Comput. Phys. 293 (2015)
Kai Diethelm
Error Bounds for the Numerical Integration of Functions with Limited Smoothness. SIAM J. Numer. Anal. 52 (2) (2014)
Kai Diethelm
The Limits of Reproducibility in Numerical Simulation. Comput. Sci. Eng. 14 (1) (2012)
Andreas Knüpfer, Christian Rössel, Dieter an Mey, Scott Biersdorff, Kai Diethelm, Dominic Eschweiler, Markus Geimer, Michael Gerndt, Daniel Lorenz, Allen D. Malony, Wolfgang E. Nagel, Yury Oleynik, Peter Philippen, Pavel Saviankou, Dirk Schmidl, Sameer Shende, Ronny Tschüter, Michael Wagner, Bert Wesarg, Felix Wolf
Score-P: A Joint Performance Measurement Run-Time Infrastructure for Periscope, Scalasca, TAU, and Vampir. Parallel Tools Workshop (2011)
Dieter an Mey, Scott Biersdorff, Christian H. Bischof, Kai Diethelm, Dominic Eschweiler, Michael Gerndt, Andreas Knüpfer, Daniel Lorenz, Allen D. Malony, Wolfgang E. Nagel, Yury Oleynik, Christian Rössel, Pavel Saviankou, Dirk Schmidl, Sameer Shende, Michael Wagner, Bert Wesarg, Felix Wolf
Score-P: A Unified Performance Measurement System for Petascale Applications. CHPC (2010)
Kai Diethelm
An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. Numer. Algorithms 47 (4) (2008)
Kai Diethelm, Alan D. Freed
An efficient algorithm for the evaluation of convolution integrals. Comput. Math. Appl. 51 (1) (2006)
Kai Diethelm, Neville J. Ford
Multi-order fractional differential equations and their numerical solution. Appl. Math. Comput. 154 (3) (2004)
Kai Diethelm, Neville J. Ford, Alan D. Freed
Detailed Error Analysis for a Fractional Adams Method. Numer. Algorithms 36 (1) (2004)
Kai Diethelm
E Methods. Computing 71 (4) (2003)
Kai Diethelm
Predictor-corrector strategies for single and multi-term fractional differential equations. HERCMA (2001)
Steven B. Damelin, Kai Diethelm
Interpolatory product quadratures for Cauchy principal value integrals with Freud weights. Numerische Mathematik 83 (1) (1999)
Kai Diethelm, Guido Walz
Numerical solution of fractional order differential equations by extrapolation. Numer. Algorithms 16 (3-4) (1997)
Kai Diethelm
Modified compound quadrature rules for strongly singular integrals. Computing 52 (4) (1994)