Name
Title | ||
|---|---|---|
A Rational Approximation and Its Applications to Differential Equations on the Half Line |
Abstract | ||
|---|---|---|
An orthogonal system of rational functions is introduced. Some results on rational approximations based on various orthogonal projections and interpolations are established. These results form the mathematical foundation of the related spectral method and pseudospectral method for solving differential equations on the half line. The error estimates of the rational spectral method and rational pseudospectral method for two model problems are established. The numerical results agree well with the theoretical estimates and demonstrate the effectiveness of this approach. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1023/A:1007698525506 | J. Sci. Comput. |
Keywords | Field | DocType |
rational approximation,pseudospectral method,differential equation,spectral method,legendre rational polynomials,orthogonal system,error estimate,rational pseudospectral method,differential equations,various orthogonal projection,related spectral method,rational spectral method,half line,pseudospectral method.,rational function,orthogonal projection | Differential equation,Elliptic rational functions,Boundary value problem,Orthogonal functions,Mathematical analysis,Pseudospectral optimal control,Spectral method,Rational function,Mathematics,Pseudo-spectral method | Journal |
Volume | Issue | ISSN |
15 | 2 | 1573-7691 |
Citations | PageRank | References |
30 | 2.93 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ben-yu Guo | 1 | 475 | 65.54 |
| Jie Shen | 2 | 123 | 18.62 |
| Zhong-qing Wang | 3 | 140 | 20.28 |