Modified compound quadrature rules for strongly singular integrals. - Kai Diethelm (Computing, 1994)

Numerical solution of fractional order differential equations by extrapolation. - Kai Diethelm; Guido Walz (Numer. Algorithms, 1997)

Interpolatory product quadratures for Cauchy principal value integrals with Freud weights. - Steven B. Damelin; Kai Diethelm (Numerische Mathematik, 1999)

Predictor-corrector strategies for single and multi-term fractional differential equations. - Kai Diethelm (HERCMA, 2001)

Efficient Solution of Multi-Term Fractional Differential Equations Using P(EC)mE Methods. - Kai Diethelm (Computing, 2003)

Multi-order fractional differential equations and their numerical solution. - Kai Diethelm; Neville J. Ford (Appl. Math. Comput., 2004)

Detailed Error Analysis for a Fractional Adams Method. - Kai Diethelm; Neville J. Ford; Alan D. Freed (Numer. Algorithms, 2004)

An efficient algorithm for the evaluation of convolution integrals. - Kai Diethelm; Alan D. Freed (Comput. Math. Appl., 2006)

An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. - Kai Diethelm (Numer. Algorithms, 2008)

Score-P: A Unified Performance Measurement System for Petascale Applications. - Dieter an Mey; Scott Biersdorff; Christian H. Bischof; Kai Diethelm; Dominic Eschweiler; Michael Gerndt; Andreas Knüpfer; Daniel Lorenz 001; Allen D. Malony; Wolfgang E. Nagel; Yury Oleynik; Christian Rössel; et al. (CHPC, 2010)

Score-P: A Joint Performance Measurement Run-Time Infrastructure for Periscope, Scalasca, TAU, and Vampir. - Andreas Knüpfer; Christian Rössel; Dieter an Mey; Scott Biersdorff; Kai Diethelm; Dominic Eschweiler; Markus Geimer; Michael Gerndt; Daniel Lorenz 001; Allen D. Malony; Wolfgang E. Nagel; Yury Oleynik; et al. (Parallel Tools Workshop, 2011)

The Limits of Reproducibility in Numerical Simulation. - Kai Diethelm (Comput. Sci. Eng., 2012)

Error Bounds for the Numerical Integration of Functions with Limited Smoothness. - Kai Diethelm (SIAM J. Numer. Anal., 2014)

Increasing the efficiency of shooting methods for terminal value problems of fractional order. - Kai Diethelm (J. Comput. Phys., 2015)

Tools for assessing and optimizing the energy requirements of high performance scientific computing software. - Kai Diethelm (CoRR, 2016)

The READEX formalism for automatic tuning for energy efficiency. - 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; et al. (Computing, 2017)

Fast Solution Methods for Fractional Differential Equations in the Modeling of Viscoelastic Materials. - Kai Diethelm (ICSC, 2021)

A New Diffusive Representation for Fractional Derivatives, Part II: Convergence Analysis of the Numerical Scheme. - Kai Diethelm (CoRR, 2022)

A New Diffusive Representation for Fractional Derivatives and its Application. - Kai Diethelm (CoRR, 2022)

Diffusive Representations for the Numerical Evaluation of Fractional Integrals. - Kai Diethelm (CoRR, 2023)

A constructive approach for investigating the stability of incommensurate fractional differential systems. - Kai Diethelm; Safoura Hashemishahraki; Ha Duc Thai; Hoang The Tuan (CoRR, 2023)

Novel Variants of Diffusive Representation of Fractional Integrals: Construction and Numerical Computation. - Renu Chaudhary; Kai Diethelm (CoRR, 2023)

Revisiting Diffusive Representations for Enhanced Numerical Approximation of Fractional Integrals. - Renu Chaudhary; Kai Diethelm (CoRR, 2023)

A New Approach to Shooting Methods for Terminal Value Problems of Fractional Differential Equations. - Kai Diethelm; Frank Uhlig (J. Sci. Comput., 2023)

Shooting Methods for Fractional Dirichlet-Type Boundary Value Problems of Order α∈(1, 2) With Caputo Derivatives. - Kai Diethelm (CoRR, 2024)