caa a22 4500 475777115 CHVBK 20180406123634.0 cr unu---uuuuu 170329e20000601xx s 000 0 eng 10.1023/A:1007698525506 doi (NATIONALLICENCE)springer-10.1023/A:1007698525506 A Rational Approximation and Its Applications to Differential Equations on the Half Line [Elektronische Daten] [Ben-Yu Guo, Jie Shen, Zhong-Qing Wang] 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. Plenum Publishing Corporation, 2000 legendre rational polynomials nationallicence rational approximation nationallicence spectral method nationallicence pseudospectral method nationallicence Guo Ben-Yu School of Mathematical Sciences, Shangai Normal University, 200234, Shanghai, People's Republic of China aut Shen Jie Department of Mathematics, Penn State University, University Park, 16802, Pennsylvania aut Wang Zhong-Qing Department of Mathematics, Shangai University, 200436, Shangai, People's Republic of China aut Journal of Scientific Computing Kluwer Academic Publishers-Plenum Publishers 15/2(2000-06-01), 117-147 0885-7474 15:2<117 2000 15 10915 https://doi.org/10.1023/A:1007698525506 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1007698525506 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Guo Ben-Yu School of Mathematical Sciences, Shangai Normal University, 200234, Shanghai, People's Republic of China aut NATIONALLICENCE 700 1- Shen Jie Department of Mathematics, Penn State University, University Park, 16802, Pennsylvania aut NATIONALLICENCE 700 1- Wang Zhong-Qing Department of Mathematics, Shangai University, 200436, Shangai, People's Republic of China aut NATIONALLICENCE 773 0- Journal of Scientific Computing Kluwer Academic Publishers-Plenum Publishers 15/2(2000-06-01), 117-147 0885-7474 15:2<117 2000 15 10915 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer