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 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

Optimal Fractional Integration Preconditioning and Error Analysis of Fractional Collocation Method Using Nodal Generalized Jacobi Functions

JOURNAL ARTICLE published January 2016 in SIAM Journal on Numerical Analysis

Research funded by Sinapore MOE AcRF Tier 2 grant (MOE 2013-T2-1-095,ARC 44/13) | Singapore MOE AcRF Tier 1 grants (RG 15/12,RG 27/15) | National Natural Science Foundation of China (11401500,11171227,11371123,11471031,91430216,U1530401)

Authors: Can Huang | Yujian Jiao | Li-Lian Wang | Zhimin Zhang

Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

JOURNAL ARTICLE published January 2017 in SIAM Journal on Numerical Analysis

Research funded by Institute of Mathematcs and Applications (MTM2013-40842-P) | National Natural Science Foundation of China (91430216)

Authors: Martin Stynes | Eugene O'Riordan | José Luis Gracia

Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations

JOURNAL ARTICLE published January 2013 in SIAM Journal on Numerical Analysis

Authors: Bangti Jin | Raytcho Lazarov | Zhi Zhou

Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations

JOURNAL ARTICLE published January 2014 in SIAM Journal on Numerical Analysis

Authors: Qinwu Xu | Jan S. Hesthaven

Optimal Regularity and Error Estimates of a Spectral Galerkin Method for Fractional Advection-Diffusion-Reaction Equations

JOURNAL ARTICLE published January 2020 in SIAM Journal on Numerical Analysis

Research funded by Multidisciplinary University Research Initiative (W911NF-15-1-0562)

Authors: Zhaopeng Hao | Zhongqiang Zhang

Backward Error Analysis for Numerical Integrators

JOURNAL ARTICLE published January 1999 in SIAM Journal on Numerical Analysis

Authors: Sebastian Reich

Analysis of a Nonsymmetric Discontinuous Galerkin Method for Elliptic Problems: Stability and Energy Error Estimates

JOURNAL ARTICLE published January 2004 in SIAM Journal on Numerical Analysis

Authors: Mats G. Larson | A. Jonas Niklasson

Fractional Semilinear Optimal Control: Optimality Conditions, Convergence, and Error Analysis

JOURNAL ARTICLE published February 2022 in SIAM Journal on Numerical Analysis

Authors: Enrique Otárola

Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces

JOURNAL ARTICLE published January 2014 in SIAM Journal on Numerical Analysis

Authors: Maxim A. Olshanskii | Arnold Reusken

A Discontinuous Petrov--Galerkin Method for Time-Fractional Diffusion Equations

JOURNAL ARTICLE published January 2014 in SIAM Journal on Numerical Analysis

Authors: K. Mustapha | B. Abdallah | K. M. Furati

Stability Analysis of Predictor-Corrector Algorithms of Adams Type

JOURNAL ARTICLE published June 1974 in SIAM Journal on Numerical Analysis

Authors: George Hall

Approximating the Caputo Fractional Derivative through the Mittag-Leffler Reproducing Kernel Hilbert Space and the Kernelized Adams--Bashforth--Moulton Method

JOURNAL ARTICLE published January 2017 in SIAM Journal on Numerical Analysis

Research funded by Office of Naval Research (N00014-13-1-0151) | National Science Foundation (1509516)

Authors: Joel A. Rosenfeld | Warren E. Dixon

Uniform Error Estimates for an Exponentially Fitted Finite Element Method for Singularly Perturbed Elliptic Equations

JOURNAL ARTICLE published January 1999 in SIAM Journal on Numerical Analysis

Authors: W. Dörfler

Error Analysis for Time-Fractional Semilinear Parabolic Equations Using Upper and Lower Solutions

JOURNAL ARTICLE published January 2020 in SIAM Journal on Numerical Analysis

Research funded by Science Foundation Ireland (SFI/12/IA/1683)

Authors: Natalia Kopteva

Interval Arithmetic Error-Bounding Algorithms

JOURNAL ARTICLE published April 1975 in SIAM Journal on Numerical Analysis

Authors: L. W. Jackson

Error Estimates for a Finite Element Method for the Drift Diffusion Semiconductor Device Equations

JOURNAL ARTICLE published August 1994 in SIAM Journal on Numerical Analysis

Authors: Zhangxin Chen | Bernardo Cockburn

Interpolation and Error Estimation in Adams $PC$-Codes

JOURNAL ARTICLE published April 1979 in SIAM Journal on Numerical Analysis

Authors: Hans J. Stetter

Numerical Method for the Time-Fractional Porous Medium Equation

JOURNAL ARTICLE published January 2019 in SIAM Journal on Numerical Analysis

Research funded by Narodowe Centrum Nauki (2015/17/D/ST1/00625)

Authors: Łukasz Płociniczak