Name
Title | ||
|---|---|---|
Tailored Finite Point Method for a Singular Perturbation Problem with Variable Coefficients in Two Dimensions |
Abstract | ||
|---|---|---|
In this paper, we propose a tailored-finite-point method for a type of linear singular perturbation problem in two dimensions. Our finite point method has been tailored to some particular properties of the problem. Therefore, our new method can achieve very high accuracy with very coarse mesh even for very small 驴, i.e. the boundary layers and interior layers do not need to be resolved numerically. In our numerical implementation, we study the classification of all the singular points for the corresponding degenerate first order linear dynamic system. We also study some cases with nonlinear coefficients. Our tailored finite point method is very efficient in both linear and nonlinear coefficients cases. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1007/s10915-009-9292-2 | J. Sci. Comput. |
Keywords | Field | DocType |
tailored-finite-point method,order linear dynamic system,tailored finite point method · singular perturbation problem · singular point,tailored finite point method,nonlinear coefficient,singular point,singular perturbation problem,nonlinear coefficients case,finite point method,linear singular perturbation problem,variable coefficients,new method,boundary layer,linear dynamical system,two dimensions,first order | Singular point of a curve,Degenerate energy levels,Mathematical optimization,Nonlinear system,Mathematical analysis,First order,Singular solution,Finite point method,Singular perturbation,Mathematics | Journal |
Volume | Issue | ISSN |
41 | 2 | 1573-7691 |
Citations | PageRank | References |
9 | 1.13 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Houde Han | 1 | 110 | 17.95 |
| Zhongyi Huang | 2 | 67 | 12.67 |