A uniformly convergent B-spline collocation method on a nonuniform mesh for singularly perturbed one-dimensional time-dependent linear convection-diffusion problem
- Author
- KADALBAJOO, Mohan K1 ; GUPTA, Vikas1 ; AWASTHI, Ashish1
[1] Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur 208016, India - Source
Journal of computational and applied mathematics. 2008, Vol 220, Num 1-2, pp 271-289, 19 p ; ref : 17 ref
- CODEN
- JCAMDI
- ISSN
- 0377-0427
- Scientific domain
- Computer science; Mathematics
- Publisher
- Elsevier, Amsterdam
- Publication country
- Netherlands
- Document type
- Article
- Language
- English
- Author keyword
- B-spline collocation Convection-diffusion problem Rothe's method Shishkin mesh Singular perturbation Uniform convergence
- Keyword (fr)
- Analyse numérique Approximation numérique Approximation spline B spline Convergence uniforme Equation convection diffusion Equation dérivée partielle Equation parabolique Maillage Mathématiques appliquées Méthode Rothe Méthode collocation Méthode différence finie Méthode maille Méthode numérique Perturbation singulière Schéma différences Schéma décentré Solution numérique Temps linéaire 41A15 65D07 Méthode implicite
- Keyword (en)
- Numerical analysis Numerical approximation Spline approximation B spline Uniform convergence Convection diffusion equation Partial differential equation Parabolic equation Grid pattern Applied mathematics Rothe method Collocation method Finite difference method Mesh method Numerical method Singular perturbation Difference scheme Upwind scheme Numerical solution Linear time
- Keyword (es)
- Análisis numérico Aproximación numérica Aproximación esplín B splín Convergencia uniforme Ecuación convección difusión Ecuación derivada parcial Ecuación parabólica Celdarada Matemáticas aplicadas Método Rothe Método colocación Método diferencia finita Método malla Método numérico Perturbación singular Esquema diferencias Esquema decentrado Tiempo lineal
- Classification
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis / 001A02E11 Approximations and expansions
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02I Numerical analysis. Scientific computation / 001A02I01 Numerical analysis / 001A02I01D Numerical approximation
- Discipline
- Mathematics
- Origin
- Inist-CNRS
- Database
- PASCAL
- INIST identifier
- 20558534
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
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DOI
10.1016/j.cam.2007.08.016 
https://dx.doi.org/10.1016/j.cam.2007.08.016
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