Kai Diethelm

According to our database, Kai Diethelm authored at least 25 papers between 1994 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

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

Kai Diethelm

CoRR, 2024

2023

A New Approach to Shooting Methods for Terminal Value Problems of Fractional Differential Equations.

Kai Diethelm, Frank Uhlig

J. Sci. Comput., November, 2023

Revisiting Diffusive Representations for Enhanced Numerical Approximation of Fractional Integrals.

Renu Chaudhary, Kai Diethelm

CoRR, 2023

Novel Variants of Diffusive Representation of Fractional Integrals: Construction and Numerical Computation.

Renu Chaudhary, 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

Diffusive Representations for the Numerical Evaluation of Fractional Integrals.

Kai Diethelm

CoRR, 2023

2022

A New Diffusive Representation for Fractional Derivatives and its Application.

Kai Diethelm

CoRR, 2022

A New Diffusive Representation for Fractional Derivatives, Part II: Convergence Analysis of the Numerical Scheme.

Kai Diethelm

CoRR, 2022

2021

Fast Solution Methods for Fractional Differential Equations in the Modeling of Viscoelastic Materials.

Kai Diethelm

Proceedings of the 9th International Conference on Systems and Control, 2021

2017

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, Othman Bouizi, Umbreen Sabir Mian, Jakub Kruzík, Radim Sojka, Martin Beseda, Venkatesh Kannan, Zakaria Bendifallah, Daniel Hackenberg, Wolfgang E. Nagel

Computing, 2017

2016

Tools for assessing and optimizing the energy requirements of high performance scientific computing software.

Kai Diethelm

CoRR, 2016

2015

Increasing the efficiency of shooting methods for terminal value problems of fractional order.

Kai Diethelm

J. Comput. Phys., 2015

2014

Error Bounds for the Numerical Integration of Functions with Limited Smoothness.

Kai Diethelm

SIAM J. Numer. Anal., 2014

2012

The Limits of Reproducibility in Numerical Simulation.

Kai Diethelm

Comput. Sci. Eng., 2012

2011

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, Allen D. Malony, Wolfgang E. Nagel, Yury Oleynik, Peter Philippen, Pavel Saviankou, Dirk Schmidl, Sameer Shende, Ronny Tschüter, Michael Wagner, Bert Wesarg, Felix Wolf

Proceedings of the Tools for High Performance Computing 2011, 2011

2010

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, Allen D. Malony, Wolfgang E. Nagel, Yury Oleynik, Christian Rössel, Pavel Saviankou, Dirk Schmidl, Sameer Shende, Michael Wagner, Bert Wesarg, Felix Wolf

Proceedings of the Competence in High Performance Computing 2010, 2010

2008

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

Kai Diethelm

Numer. Algorithms, 2008

2006

An efficient algorithm for the evaluation of convolution integrals.

Kai Diethelm, Alan D. Freed

Comput. Math. Appl., 2006

2004

Detailed Error Analysis for a Fractional Adams Method.

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

Numer. Algorithms, 2004

Multi-order fractional differential equations and their numerical solution.

Kai Diethelm, Neville J. Ford

Appl. Math. Comput., 2004

2003

Efficient Solution of Multi-Term Fractional Differential Equations Using P(EC)^mE Methods.

Kai Diethelm

Computing, 2003

2001

Predictor-corrector strategies for single and multi-term fractional differential equations.

Kai Diethelm

Proceedings of the 5th Hellenic-European Conference on Computer Mathematics and its Applications (HERCMA-01), 2001

1999

Interpolatory product quadratures for Cauchy principal value integrals with Freud weights.

Steven B. Damelin, Kai Diethelm

Numerische Mathematik, 1999

1997

Numerical solution of fractional order differential equations by extrapolation.

Kai Diethelm, Guido Walz

Numer. Algorithms, 1997

1994

Modified compound quadrature rules for strongly singular integrals.

Kai Diethelm

Computing, 1994