Kai Diethelm

30 papers Journal 26Unranked 4
YearRankTypeTitle / Venue / Authors
2026 J jnl
A Stability Testing Algorithm for Incommensurate Fractional Differential Equation Systems.
CoRR
Kai Diethelm, Safoura Hashemishahraki
2025 J jnl
An Efficient Exponential Sum Approximation of Power-Law Kernels for Solving Fractional Differential Equation.
CoRR
Renu Chaudhary, Kai Diethelm, Afshin Farhadi, Fred A. Fuchs
2025 J jnl
Hill-Type Stability Analysis of Periodic Solutions of Fractional-Order Differential Equations.
CoRR
Paul-Erik Haacker, Remco I. Leine, Renu Chaudhary, Kai Diethelm, André Schmidt, Safoura Hashemishahraki
2024 J jnl
Shooting Methods for Fractional Dirichlet-Type Boundary Value Problems of Order α∈(1, 2) With Caputo Derivatives.
CoRR
Kai Diethelm
2023 J jnl
A New Approach to Shooting Methods for Terminal Value Problems of Fractional Differential Equations.
J. Sci. Comput.
Kai Diethelm, Frank Uhlig
2023 J jnl
A constructive approach for investigating the stability of incommensurate fractional differential systems.
CoRR
Kai Diethelm, Safoura Hashemishahraki, Ha Duc Thai, Hoang The Tuan
2023 J jnl
A new approach to shooting methods for terminal value problems of fractional differential equations.
CoRR
Kai Diethelm, Frank Uhlig
2023 J jnl
Diffusive Representations for the Numerical Evaluation of Fractional Integrals.
CoRR
Kai Diethelm
2023 J jnl
Novel Variants of Diffusive Representation of Fractional Integrals: Construction and Numerical Computation.
CoRR
Renu Chaudhary, Kai Diethelm
2023 J jnl
Revisiting Diffusive Representations for Enhanced Numerical Approximation of Fractional Integrals.
CoRR
Renu Chaudhary, Kai Diethelm
2022 J jnl
A New Diffusive Representation for Fractional Derivatives and its Application.
CoRR
Kai Diethelm
2022 J jnl
A New Diffusive Representation for Fractional Derivatives, Part II: Convergence Analysis of the Numerical Scheme.
CoRR
Kai Diethelm
2021 — conf
Fast Solution Methods for Fractional Differential Equations in the Modeling of Viscoelastic Materials.
ICSC
Kai Diethelm
2021 J jnl
Fast Solution Methods for Fractional Differential Equations in the Modeling of Viscoelastic Materials.
CoRR
Kai Diethelm
2017 J jnl
The READEX formalism for automatic tuning for energy efficiency.
Computing
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
2016 J jnl
Tools for assessing and optimizing the energy requirements of high performance scientific computing software.
CoRR
Kai Diethelm
2015 J jnl
Increasing the efficiency of shooting methods for terminal value problems of fractional order.
J. Comput. Phys.
Kai Diethelm
2014 J jnl
Error Bounds for the Numerical Integration of Functions with Limited Smoothness.
SIAM J. Numer. Anal.
Kai Diethelm
2012 J jnl
The Limits of Reproducibility in Numerical Simulation.
Comput. Sci. Eng.
Kai Diethelm
2011 — conf
Score-P: A Joint Performance Measurement Run-Time Infrastructure for Periscope, Scalasca, TAU, and Vampir.
Parallel Tools Workshop
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
2010 — conf
Score-P: A Unified Performance Measurement System for Petascale Applications.
CHPC
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
2008 J jnl
An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives.
Numer. Algorithms
Kai Diethelm
2006 J jnl
An efficient algorithm for the evaluation of convolution integrals.
Comput. Math. Appl.
Kai Diethelm, Alan D. Freed
2004 J jnl
Detailed Error Analysis for a Fractional Adams Method.
Numer. Algorithms
Kai Diethelm, Neville J. Ford, Alan D. Freed
2004 J jnl
Multi-order fractional differential equations and their numerical solution.
Appl. Math. Comput.
Kai Diethelm, Neville J. Ford
2003 J jnl
Efficient Solution of Multi-Term Fractional Differential Equations Using P(EC)
Computing
Kai Diethelm
2001 — conf
Predictor-corrector strategies for single and multi-term fractional differential equations.
HERCMA
Kai Diethelm
1999 J jnl
Interpolatory product quadratures for Cauchy principal value integrals with Freud weights.
Numerische Mathematik
Steven B. Damelin, Kai Diethelm
1997 J jnl
Numerical solution of fractional order differential equations by extrapolation.
Numer. Algorithms
Kai Diethelm, Guido Walz
1994 J jnl
Modified compound quadrature rules for strongly singular integrals.
Computing
Kai Diethelm