Detailed Error Analysis for a Fractional Adams Method

JOURNAL ARTICLE published May 2004 in Numerical Algorithms

Authors: Kai Diethelm | Neville J. Ford | Alan D. Freed

Detailed error analysis for a fractional Adams method with graded meshes

JOURNAL ARTICLE published August 2018 in Numerical Algorithms

Authors: Yanzhi Liu | Jason Roberts | Yubin Yan

Algorithms for the fractional calculus: A selection of numerical methods

JOURNAL ARTICLE published February 2005 in Computer Methods in Applied Mechanics and Engineering

Authors: K. Diethelm | N.J. Ford | A.D. Freed | Yu. Luchko

Detailed Error Analysis for a Fractional Adams Method on Caputo–Hadamard Fractional Differential Equations

JOURNAL ARTICLE published 22 September 2022 in Foundations

Authors: Charles Wing Ho Green | Yubin Yan

Multi-order fractional differential equations and their numerical solution

JOURNAL ARTICLE published July 2004 in Applied Mathematics and Computation

Authors: Kai Diethelm | Neville J Ford

Rounding Error Analysis in Solving M-Matrix Linear Systems of Block Hessenberg Form

JOURNAL ARTICLE published June 2004 in Numerical Algorithms

Authors: Luca Gemignani | Grazia Lotti

JOURNAL ARTICLE published 2002 in Nonlinear Dynamics

Authors: Kai Diethelm | Neville J. Ford | Alan D. Freed

Error Bounds for the Numerical Integration of Functions with Limited Smoothness

JOURNAL ARTICLE published January 2014 in SIAM Journal on Numerical Analysis

Authors: Kai Diethelm

Error estimates of a high order numerical method for solving linear fractional differential equations

JOURNAL ARTICLE published April 2017 in Applied Numerical Mathematics

Authors: Zhiqiang Li | Yubin Yan | Neville J. Ford

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

JOURNAL ARTICLE published April 2008 in Numerical Algorithms

Authors: Kai Diethelm

Galerkin finite element method and error analysis for the fractional cable equation

JOURNAL ARTICLE published June 2016 in Numerical Algorithms

Authors: P. Zhuang | F. Liu | I. Turner | V. Anh

α-robust error analysis of a mixed finite element method for a time-fractional biharmonic equation

JOURNAL ARTICLE published August 2021 in Numerical Algorithms

Research funded by National Natural Science Foundation of China (11801332) | National Natural Science Foundation of China (NSAF-U1930402)

Authors: Chaobao Huang | Martin Stynes

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

BOOK CHAPTER published 15 April 2019 in Numerical Methods

Authors: Kai Diethelm

Pitfalls in fast numerical solvers for fractional differential equations

JOURNAL ARTICLE published February 2006 in Journal of Computational and Applied Mathematics

Authors: Kai Diethelm | Judith M. Ford | Neville J. Ford | Marc Weilbeer

Analysis of Fractional Differential Equations

JOURNAL ARTICLE published January 2002 in Journal of Mathematical Analysis and Applications

Authors: Kai Diethelm | Neville J. Ford

Computation of an Infinite Integral Using Romberg'S Method

JOURNAL ARTICLE published July 2004 in Numerical Algorithms

Authors: F. Jézéquel | J.-M. Chesneaux

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

JOURNAL ARTICLE published September 2011 in Fractional Calculus and Applied Analysis

Authors: Kai Diethelm

A fractional version of the peano-sard theorem

JOURNAL ARTICLE published January 1997 in Numerical Functional Analysis and Optimization

Authors: Kai Diethelm

A Domain Embedding Method Using the Optimal Distributed Control and a Fast Algorithm

JOURNAL ARTICLE published June 2004 in Numerical Algorithms

Authors: Lori Badea | Prabir Daripa

Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation

JOURNAL ARTICLE published January 2014 in SIAM Journal on Numerical Analysis

Authors: Bangti Jin | Raytcho Lazarov | Joseph Pasciak | Zhi Zhou