Kai Diethelm

发表

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

Kai Diethelm, 2001, HERCMA.

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

Kai Diethelm, 2016, ArXiv.

Error Bounds for the Numerical Integration of Functions with Limited Smoothness

Kai Diethelm, K. Diethelm, 2013, SIAM J. Numer. Anal..

Modified compound quadrature rules for strongly singular integrals

Kai Diethelm, K. Diethelm, 1994, Computing.

Interpolatory product quadratures for Cauchy principal value integrals with Freud weights

Kai Diethelm, Steven B. Damelin, 1999, Numerische Mathematik.

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

Kai Diethelm, K. Diethelm, 2003, Computing.

Good (and Not So Good) Practices in Computational Methods for Fractional Calculus

Martin Stynes, Roberto Garrappa, Kai Diethelm, 2020, Mathematics.

Applications of Continuous-Time Random Walks to Finance and Economics

Enrico Scalas, Dumitru Baleanu, Kai Diethelm, 2012 .

Score-P: A Unified Performance Measurement System for Petascale Applications

Dirk Schmidl, Dieter an Mey, Christian H. Bischof, 2010, CHPC.

The Limits of Reproducibility in Numerical Simulation

Kai Diethelm, K. Diethelm, 2012, Computing in Science & Engineering.

Numerical solution of fractional order differential equations by extrapolation

Kai Diethelm, Guido Walz, K. Diethelm, 1997, Numerical Algorithms.

An efficient algorithm for the evaluation of convolution integrals

Alan D. Freed, Kai Diethelm, K. Diethelm, 2006, Comput. Math. Appl..

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

Kai Diethelm, K. Diethelm, 2015, J. Comput. Phys..

Score-P: A Joint Performance Measurement Run-Time Infrastructure for Periscope, Scalasca, TAU, and Vampir

Dirk Schmidl, Dieter an Mey, Michael Wagner, 2011, Parallel Tools Workshop.

Detailed Error Analysis for a Fractional Adams Method

Alan D. Freed, Kai Diethelm, Neville J. Ford, 2004, Numerical Algorithms.

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

Kai Diethelm, K. Diethelm, 2008, Numerical Algorithms.

Multi-order fractional differential equations and their numerical solution

Kai Diethelm, Neville J. Ford, N. Ford, 2004, Appl. Math. Comput..

The READEX formalism for automatic tuning for energy efficiency

Venkatesh Kannan, Wolfgang E. Nagel, Michael Gerndt, 2016, Computing.

Trends, directions for further research, and some open problems of fractional calculus

Vasily E. Tarasov, Kai Diethelm, Yuri Luchko, 2021, Nonlinear Dynamics.

A Hilbert Space Approach to Fractional Differential Equations

Stefan Siegmund, Marcus Waurick, Kai Diethelm, 2021 .

Upper and lower estimates for the separation of solutions to fractional differential equations

Hoang The Tuan, Kai Diethelm, 2021 .

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

Kai Diethelm, 2021, 2021 9th International Conference on Systems and Control (ICSC).

Fractional-order Viscoelasticity (FOV): Constitutive Development Using the Fractional Calculus: First Annual Report

Alan D. Freed, Kai Diethelm, Yury Luchko, 2002 .

Monotonicity of functions and sign changes of their Caputo derivatives

Kai Diethelm, K. Diethelm, 2015, 1510.03285.

Asymptotic behavior of solutions of linear multi-order fractional differential systems

Stefan Siegmund, Kai Diethelm, H. T. Tuan, 2017, 1708.08131.

Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations

Kai Diethelm, K. Diethelm, 2007 .

A note on the well-posedness of terminal value problems for fractional differential equations

Kai Diethelm, Neville J. Ford, N. Ford, 2018, Journal of Integral Equations and Applications.

Uniform convergence of optimal order quadrature rules for Cauchy principal value integrals

Kai Diethelm, K. Diethelm, 1994 .

An Improvement of a Nonclassical Numerical Method for the Computation of Fractional Derivatives

Kai Diethelm, K. Diethelm, 2009 .

Asymptotically sharp error bounds for a quadrature rule for Cauchy principal value integrals based on piecewise linear interpolation

Kai Diethelm, K. Diethelm, 1995 .

Numerical solution methods for distributed order differential equations

Kai Diethelm, Neville J. Ford, N. Ford, 2001 .

Numerical analysis for distributed-order differential equations

Kai Diethelm, Neville J. Ford, N. Ford, 2009 .

Multi-term fractional differential equations, multi-order fractional differential systems and their numerical solution

Kai Diethelm, K. Diethelm, 2008 .

On the Solution of Nonlinear Fractional-Order Differential Equations Used in the Modeling of Viscoplasticity

Alan D. Freed, Kai Diethelm, K. Diethelm, 1999 .

Error bounds for spline-based quadrature methods for strongly singular integrals

Kai Diethelm, K. Diethelm, 1998 .

Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: basic properties and error estimates

Kai Diethelm, K. Diethelm, 1995 .

An extension of the well-posedness concept for fractional differential equations of Caputo’s type

Kai Diethelm, 2014 .

Fractional calculus: models and numerical methods (2nd edition)

Dumitru Baleanu, Juan J. Trujillo, Enrico Scalas, 2016 .

Non-optimality of certain quadrature rules for Cauchy principal value integrals

Kai Diethelm, K. Diethelm, 1994 .

Peano kernels and bounds for the error constants of Gaussian and related quadrature rules for Cauchy principal value integrals

Kai Diethelm, K. Diethelm, 1996 .

An efficient parallel algorithm for the numerical solution of fractional differential equations

Kai Diethelm, K. Diethelm, 2011 .

New error bounds for modified quadrature formulas for Cauchy principal value integrals

Kai Diethelm, K. Diethelm, 1997 .

A fractional calculus based model for the simulation of an outbreak of dengue fever

Kai Diethelm, K. Diethelm, 2013 .

Generalized compound quadrature formulae for finite-part integrals

Kai Diethelm, K. Diethelm, 1997 .

Fundamental approaches for the numerical handling of fractional operators and time-fractional differential equations

Kai Diethelm, K. Diethelm, 2019, Numerical Methods.

Fractional-order attractors synthesis via parameter switchings

Marius-F. Danca, Kai Diethelm, K. Diethelm, 2010 .

Multi-Term Caputo Fractional Differential Equations

Kai Diethelm, K. Diethelm, 2010 .

The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus

Kai Diethelm, K. Diethelm, 2012, 1709.01113.