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Journal Articles
- 2023
[j13]Kai Diethelm
, Frank Uhlig:
A New Approach to Shooting Methods for Terminal Value Problems of Fractional Differential Equations. J. Sci. Comput. 97(2): 38 (2023)- 2017
- [j12]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): 727-745 (2017) - 2015
- [j11]Kai Diethelm:
Increasing the efficiency of shooting methods for terminal value problems of fractional order. J. Comput. Phys. 293: 135-141 (2015) - 2014
- [j10]Kai Diethelm:
Error Bounds for the Numerical Integration of Functions with Limited Smoothness. SIAM J. Numer. Anal. 52(2): 877-879 (2014) - 2012
- [j9]Kai Diethelm:
The Limits of Reproducibility in Numerical Simulation. Comput. Sci. Eng. 14(1): 64-72 (2012) - 2008
- [j8]Kai Diethelm:
An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. Numer. Algorithms 47(4): 361-390 (2008) - 2006
- [j7]Kai Diethelm, Alan D. Freed:
An efficient algorithm for the evaluation of convolution integrals. Comput. Math. Appl. 51(1): 51-72 (2006) - 2004
- [j6]Kai Diethelm, Neville J. Ford:
Multi-order fractional differential equations and their numerical solution. Appl. Math. Comput. 154(3): 621-640 (2004) - [j5]Kai Diethelm, Neville J. Ford, Alan D. Freed:
Detailed Error Analysis for a Fractional Adams Method. Numer. Algorithms 36(1): 31-52 (2004) - 2003
- [j4]Kai Diethelm:
Efficient Solution of Multi-Term Fractional Differential Equations Using P(EC)mE Methods. Computing 71(4): 305-319 (2003) - 1999
- [j3]Steven B. Damelin, Kai Diethelm:
Interpolatory product quadratures for Cauchy principal value integrals with Freud weights. Numerische Mathematik 83(1): 87-105 (1999) - 1997
- [j2]Kai Diethelm, Guido Walz:
Numerical solution of fractional order differential equations by extrapolation. Numer. Algorithms 16(3-4): 231-253 (1997) - 1994
- [j1]Kai Diethelm:
Modified compound quadrature rules for strongly singular integrals. Computing 52(4): 337-354 (1994)
Conference and Workshop Papers
- 2021
- [c4]Kai Diethelm:
Fast Solution Methods for Fractional Differential Equations in the Modeling of Viscoelastic Materials. ICSC 2021: 455-460 - 2011
- [c3]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: 79-91 - 2010
- [c2]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: 85-97 - 2001
- [c1]Kai Diethelm:
Predictor-corrector strategies for single and multi-term fractional differential equations. HERCMA 2001: 117-122
Informal and Other Publications
- 2024
- [i10]Kai Diethelm:
Shooting Methods for Fractional Dirichlet-Type Boundary Value Problems of Order α∈(1, 2) With Caputo Derivatives. CoRR abs/2402.03487 (2024) - 2023
- [i9]Kai Diethelm:
Diffusive Representations for the Numerical Evaluation of Fractional Integrals. CoRR abs/2301.11931 (2023) - [i8]Kai Diethelm, Frank Uhlig:
A new approach to shooting methods for terminal value problems of fractional differential equations. CoRR abs/2303.15454 (2023) - [i7]Kai Diethelm, Safoura Hashemishahraki, Ha Duc Thai, Hoang The Tuan:
A constructive approach for investigating the stability of incommensurate fractional differential systems. CoRR abs/2312.00017 (2023) - [i6]Renu Chaudhary, Kai Diethelm:
Novel Variants of Diffusive Representation of Fractional Integrals: Construction and Numerical Computation. CoRR abs/2312.11305 (2023) - [i5]Renu Chaudhary, Kai Diethelm:
Revisiting Diffusive Representations for Enhanced Numerical Approximation of Fractional Integrals. CoRR abs/2312.11590 (2023) - 2022
- [i4]Kai Diethelm:
A New Diffusive Representation for Fractional Derivatives, Part II: Convergence Analysis of the Numerical Scheme. CoRR abs/2203.16454 (2022) - [i3]Kai Diethelm:
A New Diffusive Representation for Fractional Derivatives and its Application. CoRR abs/2204.04023 (2022) - 2021
- [i2]Kai Diethelm:
Fast Solution Methods for Fractional Differential Equations in the Modeling of Viscoelastic Materials. CoRR abs/2111.02782 (2021) - 2016
- [i1]Kai Diethelm:
Tools for assessing and optimizing the energy requirements of high performance scientific computing software. CoRR abs/1605.01253 (2016)
Coauthor Index
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