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n-Widths and Singularly Perturbed Boundary Value Problems

JOURNAL ARTICLE published January 1999 in SIAM Journal on Numerical Analysis

Authors: R. Bruce Kellogg | Martin Stynes

https://doi.org/10.1137/s0036142997327257 Actions

Heterogeneous Domain Decomposition for Singularly Perturbed Elliptic Boundary Value Problems

JOURNAL ARTICLE published August 1997 in SIAM Journal on Numerical Analysis

Authors: Marc Garbey | Hans G. Kaper

https://doi.org/10.1137/s0036142995285587 Actions

n-Widths and Singularly Perturbed Boundary Value Problems II

JOURNAL ARTICLE published January 2001 in SIAM Journal on Numerical Analysis

Authors: R. Bruce Kellogg | Martin Stynes

https://doi.org/10.1137/s0036142900371489 Actions

An Algebraic Approximation for the Matrix Exponential in Singularly Perturbed Boundary Value Problems

JOURNAL ARTICLE published February 1990 in SIAM Journal on Numerical Analysis

Authors: Bernhard A. Schmitt

https://doi.org/10.1137/0727004 Actions

Grid approximation for singularly perturbed boundary-value problems with sharply changing density of sources

JOURNAL ARTICLE published 1992 in Russian Journal of Numerical Analysis and Mathematical Modelling

Authors: G. I. SHISHKIN

https://doi.org/10.1515/rnam.1992.7.2.145 Actions

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

https://doi.org/10.1002/num.22431 Actions

Methods of constructing grid approximations for singularly perturbed boundary-value problems. Condensing-grid methods

JOURNAL ARTICLE published 1992 in Russian Journal of Numerical Analysis and Mathematical Modelling

Authors: G. I. SHISHKIN

https://doi.org/10.1515/rnam.1992.7.6.537 Actions

A singularly perturbed convection-diffusion parabolic problem with incompatible boundary/initial data

JOURNAL ARTICLE published August 2023 in Applied Numerical Mathematics

Authors: J.L. Gracia | E. O'Riordan

https://doi.org/10.1016/j.apnum.2023.04.011 Actions

Galerkin-Petrov method for strongly nonlinear singularly perturbed boundary value problems on special meshes

JOURNAL ARTICLE published December 1997 in Applied Numerical Mathematics

Authors: Igor A. Blatov | Victoria V. Blatova | Yurii B. Rozhec | Vadim V. Strygin

https://doi.org/10.1016/s0168-9274(97)00053-6 Actions

Invariant Manifolds and Singularly Perturbed Boundary Value Problems

JOURNAL ARTICLE published December 1994 in SIAM Journal on Numerical Analysis

Authors: S.-K. Tin | N. Kopell | C. K. R. T. Jones

https://doi.org/10.1137/0731081 Actions

Elliptic Boundary Value Problems

BOOK CHAPTER published 1996 in Springer Series in Computational Mathematics

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

https://doi.org/10.1007/978-3-662-03206-0_3 Actions

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

https://doi.org/10.1002/num.22839 Actions

Optimal error estimate of upwind scheme on Shishkin-type meshes for singularly perturbed parabolic problems with discontinuous convection coefficients

JOURNAL ARTICLE published June 2011 in BIT Numerical Mathematics

Authors: Kaushik Mukherjee | Srinivasan Natesan

https://doi.org/10.1007/s10543-010-0292-2 Actions

Numerical investigation for solutions and derivatives of singularly perturbed initial value problems

JOURNAL ARTICLE published 2021 in International Journal of Mathematical Modelling and Numerical Optimisation

Authors: Subal Ranjan Sahu | Jugal Mohapatra

https://doi.org/10.1504/ijmmno.2021.114480 Actions

Boundary and Initial Boundary Value Problems

BOOK PART published 31 October 2022 in Classical Numerical Analysis

https://doi.org/10.1017/9781108942607.029 Actions

Numerical investigation for solutions and derivatives of singularly perturbed initial value problems

JOURNAL ARTICLE published 2021 in International Journal of Mathematical Modelling and Numerical Optimisation

Authors: Jugal Mohapatra | Subal Ranjan Sahu

https://doi.org/10.1504/ijmmno.2021.10035550 Actions

Numerical Treatment of Fourth Order Singularly Perturbed Boundary Value Problems

BOOK CHAPTER published 2005 in Lecture Notes in Computer Science

Authors: Basem S. Attili

https://doi.org/10.1007/978-3-540-31852-1_15 Actions

Layers and corner singularities in singularly perturbed elliptic problems

JOURNAL ARTICLE published June 2008 in BIT Numerical Mathematics

Authors: R. Bruce Kellogg | Martin Stynes

https://doi.org/10.1007/s10543-008-0173-0 Actions

A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer

JOURNAL ARTICLE published November 2019 in Numerical Methods for Partial Differential Equations

Authors: Justin B. Munyakazi | Kailash C. Patidar | Mbani T. Sayi

https://doi.org/10.1002/num.22420 Actions

NUMERICAL-ANALYTIC METHOD OF SUCCESSIVE APPROXIMATIONS FOR TWO-POINT BOUNDARY-VALUE PROBLEMS

BOOK CHAPTER published June 2000 in Numerical-Analytic Methods in the Theory of Boundary-Value Problems

https://doi.org/10.1142/9789812813602_0002 Actions
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