Search Results - "\(\varepsilon\)-uniform convergence"

An ε-Uniform Method for Singularly Perturbed 2D Convection Dominated Elliptic Boundary Value Problems with Delay and Advance: An \(\varepsilon\)-uniform method for singularly perturbed 2D convection dominated elliptic boundary value problems with delay and advance

Authors: null Garima Gajendra Babu Kapil K. Sharma

Source: Differential Equations and Dynamical Systems. 33:595-626

Subject Terms: fitted mesh method, delay terms, advance terms, Numerical methods for partial differential equations, boundary value problems, \(\varepsilon\)-uniform convergence, singularly perturbed problem, Shishkin mesh

File Description: application/xml

A robust adaptive grid method for first-order nonlinear singularly perturbed Fredholm integro-differential equations

Authors: Zhi Mao Dan Luo

Source: Networks and Heterogeneous Media, Vol 18, Iss 3, Pp 1006-1023 (2023)

Subject Terms: fredholm integro-differential equation, singularly perturbed problem, adaptive grid algorithm, $ \varepsilon $-uniform convergence, Communication. Mass media, P87-96

File Description: electronic resource

Relation: https://doaj.org/toc/1556-1801

Access URL: https://doaj.org/article/b9509a736f1a4979a9cf1ff7f8355dd6

Grid approximation of a singularly perturbed boundary value problem modelling heat transfer in the case of flow over a flat plate with suction of the boundary layer: Grid approximation of a singularly perturbed boundary value problem modelling heat transfer in the case of flow over a flat plate with suction of the boundary layer.

Authors: Miller, J.J.H. Shishkin, G.I. Koren, B. et al.

Contributors: Miller, J.J.H. Shishkin, G.I. Koren, B. et al.

Source: Journal of Computational and Applied Mathematics. 166:221-232

Subject Terms: Numerical solution of boundary value problems involving ordinary differential equations, Finite difference and finite volume methods for ordinary differential equations, two perturbation parameters, Two perturbation parameters, Applied Mathematics, Flow past a flat plate, plate, flow past a flat, \(\varepsilon\)-uniform convergence, Boundary-layer theory, separation and reattachment, higher-order effects, boundary layers, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, Computational Mathematics, ε-uniform convergence, Finite difference methods, 0103 physical sciences, Boundary layers, singularly perturbed parabolic equation, 0101 mathematics, Singularly perturbed parabolic equation, finite difference methods

File Description: application/xml

Access URL: https://research.tue.nl/en/publications/6f42baef-8947-485b-a8fb-e847eadb5f26
https://www.sciencedirect.com/science/article/pii/S0377042703008598
https://www.narcis.nl/publication/RecordID/oai%3Acwi.nl%3A9885
https://ir.cwi.nl/pub/16584
https://core.ac.uk/display/86360543
https://ui.adsabs.harvard.edu/abs/2004JCoAM.166..221M/abstract
https://pure.tue.nl/ws/files/3635429/722827500192777.pdf

The Richardson scheme for the singularly perturbed parabolic reaction-diffusion equation in the case of a discontinuous initial condition

Authors: G. I. Shishkin

Source: Computational Mathematics and Mathematical Physics. 49:1348-1368

Subject Terms: method of additive splitting of singularties, Reaction-diffusion equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, parabolic reaction-diffusion equation, \(\varepsilon\)-uniform convergence, special grids, Richardson technique, 0101 mathematics, piecewise continuous initial condition, 01 natural sciences, singularly perturbed boundary value problem, Singular perturbations in context of PDEs, grid approximation

File Description: application/xml

Access URL: https://zbmath.org/5649684
https://doi.org/10.1134/s0965542509080065
https://link.springer.com/content/pdf/10.1134/S0965542509080065.pdf
http://ui.adsabs.harvard.edu/abs/2009CMMPh..49.1348S/abstract
https://link.springer.com/article/10.1134%2FS0965542509080065

Limitations of adaptive mesh refinement techniques for singularly perturbed problems with a moving interior layer: Limitations of adaptive mesh refinement techniques for singularly perturbed problems with a moving interior layer.

Authors: G. I. Shishkin

Source: Journal of Computational and Applied Mathematics. 166:267-280

Subject Terms: 0209 industrial biotechnology, Kolmogorov widths, parabolic equation, \(\varepsilon\)-uniform convergence, 02 engineering and technology, 01 natural sciences, ε-uniform convergence, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, moving interior layer, adaptive mesh refinement, 0101 mathematics, singular perturbation, finite difference methods, Moving interior layer, Singular perturbations in context of PDEs, Applied Mathematics, Adaptive mesh refinement, Computational Mathematics, Reaction-diffusion equations, Finite difference methods, reaction-diffusion equation, Initial value problems for second-order parabolic equations, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, initial value problem, Singularly perturbed parabolic equation

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Access URL: https://zbmath.org/2062772
https://doi.org/10.1016/j.cam.2003.09.022
https://core.ac.uk/display/81187218
https://www.sciencedirect.com/science/article/abs/pii/S0377042703008550
https://www.sciencedirect.com/science/article/pii/S0377042703008550
https://ui.adsabs.harvard.edu/abs/2004JCoAM.166..267S/abstract

A Class of Singularly Perturbed Convection-Diffusion Problems with a Moving Interior Layer. An a Posteriori Adaptive Mesh Technique: A class of singularly perturbed convection-diffusion problems with a moving interior layer. An a posteriori adaptive mesh technique

Authors: Shishkin, G.I. Shishkina, L.P. Hemker, P.W.

Source: Computational Methods in Applied Mathematics. 4:105-127

Subject Terms: 4. Education, error bound, almost \(\varepsilon\)-uniform convergence, 01 natural sciences, finite difference schemes, a posteriori adaptive mesh, Error bounds for initial value and initial-boundary value problems involving PDEs, initial boundary value problem, moving interior/transition layer, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, convection-diffusion equation, Initial value problems for second-order parabolic equations, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, singular perturbation, Singular perturbations in context of PDEs

File Description: application/xml

Access URL: https://zbmath.org/2095710
https://doi.org/10.2478/cmam-2004-0007
https://dare.uva.nl/personal/pure/en/publications/a-class-of-singularly-perturbed-convectiondiffusion-problems-with-a-moving-interior-layer-an-a-posteriori-adaptive-mesh-technique(b86de512-f6e6-4b42-bf6f-ad8118f62056).html
https://hdl.handle.net/11245/1.228150
https://core.ac.uk/display/85889130

A Robust Method of Improved Order for Convection-Diffusion Problems in a Domain with Characteristic Boundaries: A robust method of improved order for convection-diffusion problems in a domain with characteristic boundaries

Authors: José Luis Gracia C. Clavero Francisco J. Lisbona et al.

Source: ZAMM. 82:631-647

Subject Terms: Finite difference methods for boundary value problems involving PDEs, Boundary value problems for second-order elliptic equations, \(\varepsilon\)-uniform convergence, Shishkin mesh, convection-diffusion problem, high order accuracy, upwid finite difference scheme, Stability and convergence of numerical methods for boundary value problems involving PDEs, characteristic boundaries, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, singular perturbation, Finite difference methods applied to problems in fluid mechanics, Singular perturbations in context of PDEs

File Description: application/xml

Access URL: https://zbmath.org/1847019
https://doi.org/10.1002/1521-4001(200209)82:9<631::aid-zamm631>3.0.co;2-1
http://ui.adsabs.harvard.edu/abs/2002ZaMM...82..631C/abstract

Uniform Error Analysis for Lagrange--Galerkin Approximations of Convection-Dominated Problems: Uniform error analysis for Lagrange-Galerkin approximations of convection-dominated problems

Authors: Peter Knabner Markus Bause

Source: SIAM Journal on Numerical Analysis. 39:1954-1984

Subject Terms: Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs, Lagrange-Galerkin scheme, error estimates, characteristics, finite element method, convection-diffusion equation, \(\varepsilon\)-uniform convergence, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Initial value problems for second-order parabolic equations, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, numerical experiments, 01 natural sciences

File Description: application/xml

Access URL: https://dblp.uni-trier.de/db/journals/siamnum/siamnum39.html#BauseK02
https://doi.org/10.1137/S0036142900367478
https://epubs.siam.org/doi/10.1137/S0036142900367478

High-Order Time-Accurate Parallel Schemes for Parabolic Singularly Perturbed Problems with Convection: High-order time-accurate parallel schemes for parabolic singularly perturbed problems with convection

Authors: Hemker, P.W. Shishkin, G.I. Shishkina, L.P.

Source: Computing. 66:139-161

Subject Terms: defect correction, Schwarz-like methods, \(\varepsilon\)-uniform convergence, parallel algorithms, Parallel numerical computation, convection-diffusion, 01 natural sciences, finite difference schemes, domain decomposition, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Initial value problems for second-order parabolic equations, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, singular perturbation, Singular perturbations in context of PDEs

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Access URL: http://home.imm.uran.ru/SPP/hem_comp.pdf
https://hdl.handle.net/11245/1.187069
https://dare.uva.nl/personal/pure/en/publications/highorder-timeaccurate-parallel-schemes-for-parabolic-singularly-perturbed-problems-with-convection(259e845d-a28b-4c48-9974-36be09779f82).html
https://doi.org/10.1007/s006070170032
https://link.springer.com/article/10.1007/s006070170032
https://core.ac.uk/display/91213194
https://www.narcis.nl/publication/RecordID/oai%3Acwi.nl%3A16538
https://dblp.uni-trier.de/db/journals/computing/computing66.html#HemkerSS01

On the non-existence of 𝜀-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems: On the non-existence of \(\varepsilon\)-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems

Authors: John J. H. Miller Paul A. Farrell Grigorii I. Shishkin et al.

Source: Mathematics of Computation. 67:603-617

Subject Terms: Numerical solution of boundary value problems involving ordinary differential equations, Finite difference and finite volume methods for ordinary differential equations, frozen fitting factor, Nonlinear boundary value problems for ordinary differential equations, exponential boundary layer, Singular perturbations for ordinary differential equations, \(\varepsilon\)-uniform convergence, uniform mesh, semilinear boundary value problem, 0101 mathematics, singular perturbation, finite difference scheme, 01 natural sciences

File Description: application/xml

Access URL: https://www.ams.org/mcom/1998-67-222/S0025-5718-98-00922-3/S0025-5718-98-00922-3.pdf
https://www.ams.org/mcom/1998-67-222/S0025-5718-98-00922-3/S0025-5718-98-00922-3.pdf
http://digitalcommons.kent.edu/cspubs/12/
https://doi.org/10.1090/S0025-5718-98-00922-3
https://oaks.kent.edu/cspubs/12
https://www.ams.org/journals/mcom/1998-67-222/S0025-5718-98-00922-3/home.html
http://ui.adsabs.harvard.edu/abs/1998MaCom..67..603F/abstract

МНОГОСЕТОЧНЫЙ АЛГОРИТМ РЕШЕНИЯ ЭЛЛИПТИЧЕСКОЙ ЗАДАЧИ С ПОГРАНИЧНЫМИ СЛОЯМИ

Contributors: Казанский (Приволжский) федеральный университет

Subject Terms: Richardson extrapolation, $\varepsilon$-равномерная сходимость, Boundary layer, сетка Шишкина, \varepsilon-uniform convergence, экстраполяция Ричардсона, Shishkin mesh, difference scheme, эллиптическая задача, разностная схема, elliptic problem, Пограничный слой

Access URL: https://openrepository.ru/article?id=200010

СХЕМЫ ДЕКОМПОЗИЦИИ ОБЛАСТИ ДЛЯ ЗАДАЧИ РОБЕНА В СЛУЧАЕ СИНГУЛЯРНО ВОЗМУЩЕННОГО УРАВНЕНИЯ РЕАКЦИИ-ДИФФУЗИИ

Contributors: Казанский (Приволжский) федеральный университет

Subject Terms: $\varepsilon$-равномерная сходимость, Singularly perturbed reaction-diffusion problem, $\varepsilon$-uniform convergence, метод декомпозиции области, малый параметр, краевые условия III рода, small parameter, Сингулярно возмущенная задача реакции-диффузии, third-kind boundary conditions, domain decomposition method

Access URL: https://openrepository.ru/article?id=200016

СХЕМЫ ДЕКОМПОЗИЦИИ ОБЛАСТИ ДЛЯ ЗАДАЧИ РОБЕНА В СЛУЧАЕ СИНГУЛЯРНО ВОЗМУЩЕННОГО УРАВНЕНИЯ РЕАКЦИИ-ДИФФУЗИИ ; DOMAIN DECOMPOSITION SCHEMES FOR THE ROBIN PROBLEM FOR A SINGULARLY PERTURBED REACTION-DIFFUSION EQUATION

Authors: Целищева Ирина Владимировна Казанский (Приволжский) федеральный университет

Contributors: Целищева Ирина Владимировна Казанский (Приволжский) федеральный университет

Subject Terms: Сингулярно возмущенная задача реакции-диффузии, малый параметр, краевые условия III рода, $\varepsilon$-равномерная сходимость, метод декомпозиции области, Singularly perturbed reaction-diffusion problem, small parameter, third-kind boundary conditions, $\varepsilon$-uniform convergence, domain decomposition method

Relation: Сеточные методы для краевых задач и приложения; http://rour.neicon.ru:80/xmlui/bitstream/rour/200016/1/nora.pdf; 519.624; https://openrepository.ru/article?id=200016

Availability: https://openrepository.ru/article?id=200016

МНОГОСЕТОЧНЫЙ АЛГОРИТМ РЕШЕНИЯ ЭЛЛИПТИЧЕСКОЙ ЗАДАЧИ С ПОГРАНИЧНЫМИ СЛОЯМИ ; MULTIGRID ALGORITHM FOR SOLUTION ELLIPTIC PROBLEM WITH BOUNDARY LAYERS

Authors: Тиховская Светлана Валерьевна Казанский (Приволжский) федеральный университет

Contributors: Тиховская Светлана Валерьевна Казанский (Приволжский) федеральный университет

Subject Terms: Пограничный слой, эллиптическая задача, разностная схема, $\varepsilon$-равномерная сходимость, сетка Шишкина, экстраполяция Ричардсона, Boundary layer, elliptic problem, difference scheme, \varepsilon-uniform convergence, Shishkin mesh, Richardson extrapolation

Relation: Сеточные методы для краевых задач и приложения; http://rour.neicon.ru:80/xmlui/bitstream/rour/200010/1/nora.pdf; 519.63; https://openrepository.ru/article?id=200010

Availability: https://openrepository.ru/article?id=200010

Numerical solution of an elliptic equation with boundary layers for a half-strip

Authors: Zadorin, A. I.

Subject Terms: Finite difference methods for boundary value problems involving PDEs, domain truncation, Error bounds for boundary value problems involving PDEs, \(\varepsilon \)-uniform convergence, elliptic equation, finite-difference method, small parameter, Degenerate elliptic equations, nonuniform mesh, Stability and convergence of numerical methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, singular perturbation, Singular perturbations in context of PDEs

File Description: application/xml

Access URL: https://zbmath.org/1432195

СХЕМЫ ДЕКОМПОЗИЦИИ ОБЛАСТИ ДЛЯ ЗАДАЧИ РОБЕНА В СЛУЧАЕ СИНГУЛЯРНО ВОЗМУЩЕННОГО УРАВНЕНИЯ РЕАКЦИИ-ДИФФУЗИИ

Additional Titles: DOMAIN DECOMPOSITION SCHEMES FOR THE ROBIN PROBLEM FOR A SINGULARLY PERTURBED REACTION-DIFFUSION EQUATION

Authors: Целищева Ирина Владимировна

Index Terms: Сингулярно возмущенная задача реакции-диффузии, малый параметр, краевые условия III рода, $\varepsilon$-равномерная сходимость, метод декомпозиции области, Singularly perturbed reaction-diffusion problem, small parameter, third-kind boundary conditions, $\varepsilon$-uniform convergence, domain decomposition method, article

URL: http://hdl.handle.net/rour/200016uri
Сеточные методы для краевых задач и приложения

МНОГОСЕТОЧНЫЙ АЛГОРИТМ РЕШЕНИЯ ЭЛЛИПТИЧЕСКОЙ ЗАДАЧИ С ПОГРАНИЧНЫМИ СЛОЯМИ

Additional Titles: MULTIGRID ALGORITHM FOR SOLUTION ELLIPTIC PROBLEM WITH BOUNDARY LAYERS

Authors: Тиховская Светлана Валерьевна

Index Terms: Пограничный слой, эллиптическая задача, разностная схема, $\varepsilon$-равномерная сходимость, сетка Шишкина, экстраполяция Ричардсона, Boundary layer, elliptic problem, difference scheme, varepsilon-uniform convergence, Shishkin mesh, Richardson extrapolation., article

URL: http://hdl.handle.net/rour/200010uri
Сеточные методы для краевых задач и приложения