Ordinary Differential Equations

BOOK CHAPTER published in Elements of Numerical Analysis

Semi‐analytic time differencing methods for singularly perturbed initial value problems

JOURNAL ARTICLE published September 2022 in Numerical Methods for Partial Differential Equations

Research funded by National Research Foundation of Korea (2018R1D1A1B07048325,2020H1D3A2A01110658,2020R1A2C1A01009184) | Simons Foundation (Collaboration Grant for Mathematicians) | Ulsan National Institute of Science and Technology (1.200085.01) | University of Louisville (Research ‐ RII Grant)

Authors: Gung‐Min Gie | Chang‐Yeol Jung | Hoyeon Lee

A parameter‐uniform scheme for the parabolic singularly perturbed problem with a delay in time

JOURNAL ARTICLE published January 2021 in Numerical Methods for Partial Differential Equations

Authors: Devendra Kumar

Uniformly convergent scheme for two‐parameter singularly perturbed problems with non‐smooth data

JOURNAL ARTICLE published January 2021 in Numerical Methods for Partial Differential Equations

Research funded by Department of Science and Technology, Ministry of Science and Technology, India (IF160648)

Authors: Devendra Kumar | Parvin Kumari

An implicit scheme for singularly perturbed parabolic problem with retarded terms arising in computational neuroscience

JOURNAL ARTICLE published November 2018 in Numerical Methods for Partial Differential Equations

Authors: Devendra Kumar

Initial Value Ordinary Differential Equations

BOOK CHAPTER published 1988 in The Numerical Solution of Ordinary and Partial Differential Equations

Authors: GRANVILLE SEWELL

Elliptic Boundary Value Problems

BOOK CHAPTER published 1996 in Springer Series in Computational Mathematics

Authors: Hans-Görg Roos | Martin Stynes | Lutz Tobiska

Differential and Difference Equations

OTHER published 7 March 2008 in Numerical Methods for Ordinary Differential Equations

Systems of differential equations

OTHER published 27 January 2009 in Numerical Solution of Ordinary Differential Equations

Differential and Difference Equations

OTHER published 26 July 2016 in Numerical Methods for Ordinary Differential Equations

Differential and Difference Equations

OTHER published 6 June 2003 in Numerical Methods for Ordinary Differential Equations

Uniform convergence analysis of hybrid numerical scheme for singularly perturbed problems of mixed type

JOURNAL ARTICLE published November 2014 in Numerical Methods for Partial Differential Equations

Authors: Kaushik Mukherjee | Srinivasan Natesan

On adaptive mesh for the initial boundary value singularly perturbed delay Sobolev problems

JOURNAL ARTICLE published March 2020 in Numerical Methods for Partial Differential Equations

Authors: Akbar Barati Chiyaneh | Hakki Duru

Survey of interval algorithms for ordinary differential equations

PROCEEDINGS ARTICLE published 1989 in Proceedings of the conference on Numerical ordinary differential equations

Authors: G. F. Corliss

Locally one-dimensional difference schemes for singularly perturbed parabolic equations with convective terms

JOURNAL ARTICLE published 1999 in Russian Journal of Numerical Analysis and Mathematical Modelling

Authors: G. I. SHISHKIN

3. Theory of Ordinary Differential Equations

BOOK CHAPTER published January 1995 in Numerical Solution of Boundary Value Problems for Ordinary Differential Equations

Analysis of a FEM for a coupled system of singularly perturbed reaction–diffusion equations

JOURNAL ARTICLE published March 2009 in Numerical Algorithms

Authors: Torsten Linß

Richardson Extrapolation Method on an Adaptive Grid for Singularly Perturbed Volterra Integro-Differential Equations

JOURNAL ARTICLE published 19 May 2021 in Numerical Functional Analysis and Optimization

Research funded by National Science Foundation of China (11761015, 12061049) | the Natural Science Foundation of Guangx (2020GXNSFAA159010, 2018GXNSFAA294145) | of Natural Science Foundation of Guangxi (2017GXNSFDA198014, 2018GXNSFDA050014)

Authors: Guangqing Long | Li-Bin Liu | Zaitang Huang

Superconvergence analysis of the Galerkin FEM for a singularly perturbed convection–diffusion problem with characteristic layers

JOURNAL ARTICLE published January 2008 in Numerical Methods for Partial Differential Equations

Authors: Sebastian Franz | Torsten Linß

A higher order uniformly convergent method for singularly perturbed parabolic turning point problems

JOURNAL ARTICLE published March 2020 in Numerical Methods for Partial Differential Equations

Research funded by University Grants Commission (Sch./139/Non‐NET/Ext‐152/2018‐19/67)

Authors: Swati Yadav | Pratima Rai | Kapil K. Sharma