Suchergebnisse - "Shishkin mesh"

Advantages of the Samarskii-type schemes on the Shishkin mesh

Autoren: Vulanović, Relja Nhan, Thái Anh

Quelle: Journal of Computational and Applied Mathematics. 470

Schlagwörter: 4901 Applied Mathematics (for-2020), 46 Information and Computing Sciences (for-2020), 49 Mathematical Sciences (for-2020), Singular perturbation, Convection-diffusion, Shishkin mesh, Finite differences, Uniform convergence, 0102 Applied Mathematics (for), 0103 Numerical and Computational Mathematics (for), 0906 Electrical and Electronic Engineering (for), Numerical & Computational Mathematics (science-metrix), 4613 Theory of computation (for-2020), 4901 Applied mathematics (for-2020), 4903 Numerical and computational mathematics (for-2020)

Dateibeschreibung: application/pdf

Zugangs-URL: https://escholarship.org/uc/item/5p64t416
https://escholarship.org/content/qt5p64t416/qt5p64t416.pdf

A new parameter-convergent nonstandard finite difference method for two-parameter singularly perturbed problems

Autoren: Mekashaw Ali Mohye Justin B. Munyakazi Tekle Gemechu Dinka et al.

Quelle: Discover Applied Sciences, Vol 7, Iss 11, Pp 1-19 (2025)

Schlagwörter: Singular perturbation problems, Uniform convergence, Shishkin mesh, Boundary layers, Fitted mesh, Science (General), Q1-390

Dateibeschreibung: electronic resource

Relation: https://doaj.org/toc/3004-9261

Zugangs-URL: https://doaj.org/article/5ed02e1acddb4668b4556226050e0b76

Anisotropic error analysis of weak Galerkin finite element method for singularly perturbed biharmonic problems

Autoren: Aayushman Raina Srinivasan Natesan Şuayip Toprakseven

Quelle: Mathematics and Computers in Simulation. 229:203-221

Schlagwörter: anisotropic estimates, 65N30, 65N15, 35J30, Error bounds for boundary value problems involving PDEs, Shishkin mesh, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Higher-order elliptic equations, 01 natural sciences, FOS: Mathematics, weak Galerkin finite element method, biharmonic problem, singular perturbation problem, Mathematics - Numerical Analysis, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2409.07217
https://zbmath.org/8031533
https://doi.org/10.1016/j.matcom.2024.09.017

Numerical treatment of singularly perturbed turning point problems with delay in time

Autoren: Singh, Satpal Kumar, Devendra Vigo-Aguiar, J.

Quelle: Journal of Mathematical Chemistry. 63:1035-1064

Schlagwörter: Finite difference methods for boundary value problems involving PDEs, Shishkin mesh, Stability and convergence of numerical methods for boundary value problems involving PDEs, turning point, time lag, Spline approximation, Error bounds for initial value and initial-boundary value problems involving PDEs, parameter-uniform convergence, Second-order parabolic equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for ordinary differential equations, delay differential equation, Singular perturbations, turning point theory, WKB methods for ordinary differential equations, splines, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, singular perturbation, Singular perturbations in context of PDEs

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8018422
https://doi.org/10.1007/s10910-025-01707-y

A numerical approach to approximate the solution of a quasilinear singularly perturbed parabolic convection diffusion problem having a non-smooth source term

Autoren: Ruby Vembu Shanthi Higinio Ramos

Quelle: AIMS Mathematics, Vol 10, Iss 3, Pp 6827-6852 (2025)

Schlagwörter: standard upwind scheme, convection diffusion, QA1-939, shishkin mesh, discontinuous source term, weak interior layer, quasilinear, singular perturbation, backward euler method, Mathematics

Zugangs-URL: https://doaj.org/article/7c694ad80eff4d018c0c812230e5224e

A parameter uniform hybrid approach for singularly perturbed two-parameter parabolic problem with discontinuous data

Autoren: N. Roy A. Jha

Quelle: Iranian Journal of Numerical Analysis and Optimization, Vol 15, Iss Issue 2, Pp 728-769 (2025)

Schlagwörter: interior layers, hybrid method, singularly perturbed, parabolic problem, shishkin mesh, Applied mathematics. Quantitative methods, T57-57.97

Dateibeschreibung: electronic resource

Relation: https://ijnao.um.ac.ir/article_46445_af2caff64c970e026b8df01dd112f91a.pdf; https://doaj.org/toc/2423-6977; https://doaj.org/toc/2423-6969

Zugangs-URL: https://doaj.org/article/bf3b8c1b736e448e9e98d9888de28474

A robust B-spline method for two parameter singularly perturbed parabolic differential equations with discontinuous initial condition

Autoren: Neha Kumari S. Gowrisankar

Quelle: Journal of Applied Mathematics and Computing. 70:5379-5403

Schlagwörter: Error bounds for initial value and initial-boundary value problems involving PDEs, interior layer, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Shishkin mesh, B-spline collocation method, discontinuous initial condition, singular perturbation

Dateibeschreibung: application/xml

A higher order numerical method for singularly perturbed elliptic problems with characteristic boundary layers

Autoren: A.F. Hegarty E. O'Riordan ULRR

Weitere Verfasser: A.F. Hegarty E. O'Riordan ULRR

Quelle: Applied Numerical Mathematics. 201:85-101

Schlagwörter: Statistics, FOS: Mathematics, higher order, Mathematical sciences, Shishkin mesh, convection-diffusion, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Petrov-Galerkin, 65N12, 65N15, 65N06

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/2311.00554

Operator splitting FEM for 2D parabolic convection diffusion shift problems

Autoren: R. Soundararajan V. Subburayan

Quelle: Calcolo. 62

Schlagwörter: alternating direction implicit method, streamline-diffusion finite element method, singularly perturbed delay problem, convection-diffusion problem, Shishkin mesh, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, parabolic differential equation

Dateibeschreibung: application/xml

Numerical solution of singularly perturbed parabolic differential difference equations

Autoren: D.B. Huka W.G. Melesse F.W. Gelu

Quelle: Қарағанды университетінің хабаршысы. Математика сериясы, Vol 119, Iss 3 (2025)

Schlagwörter: singular perturbation problem, differential difference equation, implicit Euler technique, upwind method, Shishkin mesh, parameter-uniform convergence, Analysis, QA299.6-433, Analytic mechanics, QA801-939, Probabilities. Mathematical statistics, QA273-280

Dateibeschreibung: electronic resource

Relation: https://mts.buketov.edu.kz/index.php/mathematics-vestnik/article/view/1107; https://doaj.org/toc/2518-7929; https://doaj.org/toc/2663-5011

Zugangs-URL: https://doaj.org/article/f7a6315918354316b9806979312ae092

The local discontinuous Galerkin method on graded meshes for 1d singularly perturbed convection–diffusion problems: The local discontinuous Galerkin method on graded meshes for 1d singularly perturbed convection-diffusion problems

Autoren: You Wu Yao Cheng

Quelle: Computational and Applied Mathematics. 44

Schlagwörter: Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, local discontinuous Galerkin method, Duran mesh, convection-diffusion, singularly perturbed, Numerical solution of singularly perturbed problems involving ordinary differential equations, Error bounds for numerical methods for ordinary differential equations, Duran-Shishkin mesh, convergence analysis

Dateibeschreibung: application/xml

Numerical Analysis for a Singularly Perturbed Parabolic Differential Equation with a Time Delay: Numerical analysis for a singularly perturbed parabolic differential equation with a time delay

Autoren: Tesfaye, Sisay Ketema Dinka, Tekle Gemechu Woldaregay, Mesfin Mekuria et al.

Quelle: Computational Mathematics and Mathematical Physics. 64:537-554

Schlagwörter: delay differential equation, higher order finite difference, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, uniform convergence, piecewise-uniform Shishkin mesh

Dateibeschreibung: application/xml

Numerical Treatment of a Two-Parameter Singularly Perturbed Elliptic Problem with Discontinuous Convection and Source Terms

Autoren: Ram Shiromani Vembu Shanthi Higinio Ramos

Quelle: GREDOS. Repositorio Institucional de la Universidad de Salamanca
Universidad de Salamanca (USAL)

Schlagwörter: 12 Matemáticas, Elliptic equation, Shishkin mesh, Finite difference scheme, Two-parameter singularly perturbed problem, Discontinuous convection and source terms

Zugangs-URL: http://hdl.handle.net/10366/156111
https://hdl.handle.net/10366/156111
https://doi.org/10.1007/s12591-024-00676-z

Fitted finite element methods for singularly perturbed elliptic problems of convection-diffusion type

Autoren: A.F. Hegarty E. O'Riordan ULRR

Weitere Verfasser: A.F. Hegarty E. O'Riordan ULRR

Quelle: Applied Numerical Mathematics. 196:183-198

Schlagwörter: Statistics, 65N12, Mathematical sciences, Shishkin mesh, convection-diffusion, 65N15, Numerical Analysis (math.NA), 65N06, fitted operator, 01 natural sciences, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, 65N12, 65N15, 65N06

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/2310.01237

A fitted finite element method for singularly perturbed elliptic problems with characteristic boundary layers

Autoren: A.F. Hegarty E. O’Riordan ULRR

Weitere Verfasser: A.F. Hegarty E. O’Riordan ULRR

Quelle: Journal of Computational and Applied Mathematics. 474:116971

Schlagwörter: shishkin mesh, higher order

Dateibeschreibung: application/pdf

Zugangs-URL: https://hdl.handle.net/10344/31350
https://doi.org/10.34961/18862

Computational approaches for singularly perturbed turning point problems with non-local boundary conditions

Autoren: V. Raja E. Sekar K. Loganathan

Quelle: Partial Differential Equations in Applied Mathematics, Vol 13, Iss , Pp 101122- (2025)

Schlagwörter: Turning point problem, Integral boundary condition, Difference scheme, Shishkin mesh, Applied mathematics. Quantitative methods, T57-57.97

Dateibeschreibung: electronic resource

Relation: http://www.sciencedirect.com/science/article/pii/S266681812500049X; https://doaj.org/toc/2666-8181

Zugangs-URL: https://doaj.org/article/eeae29e820b84f78b67fca0579e480ff

A Computational Study on Two-Parameter Singularly Perturbed Third-Order Delay Differential Equations

Autoren: Mahendran Rajendran Senthilkumar Sethurathinam Subburayan Veerasamy et al.

Quelle: Computation ; Volume 13 ; Issue 2 ; Pages: 24

Schlagwörter: third-order differential equations, singularly perturbed problem, Shishkin mesh

Dateibeschreibung: application/pdf

Relation: https://dx.doi.org/10.3390/computation13020024

Verfügbarkeit: https://doi.org/10.3390/computation13020024

Discontinuous Galerkin approach for two-parametric convection-diffusion equation with discontinuous source term

Autoren: K. R. Ranjan S. Gowrisankar

Quelle: Iranian Journal of Numerical Analysis and Optimization, Vol 14, Iss Issue 2, Pp 347-366 (2024)

Schlagwörter: convection-diffusion problem, the nipg methods, shishkin mesh, interior layers, uniform convergence, Applied mathematics. Quantitative methods, T57-57.97

Dateibeschreibung: electronic resource

Relation: https://ijnao.um.ac.ir/article_44733_44ab553ad927bda0eb1430bde393e776.pdf; https://doaj.org/toc/2423-6977; https://doaj.org/toc/2423-6969

Zugangs-URL: https://doaj.org/article/fedd7b3bd59a4ee48446f945874cd699

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

Autoren: null Garima Gajendra Babu Kapil K. Sharma

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

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

Dateibeschreibung: application/xml

Numerical treatment of a singularly perturbed 2-D convection-diffusion elliptic problem with Robin-type boundary conditions

Autoren: Ram Shiromani Vembu Shanthi Higinio Ramos

Quelle: GREDOS. Repositorio Institucional de la Universidad de Salamanca
Universidad de Salamanca (USAL)

Schlagwörter: 12 Matemáticas, Elliptic equation, Shishkin mesh, Singular perturbation parameter, Finite difference scheme, 0101 mathematics, Two dimensional space, 01 natural sciences, Smooth convection and source terms

Zugangs-URL: http://hdl.handle.net/10366/156302
https://hdl.handle.net/10366/156302