Obtaining scattering kernels using invariant imbedding |
| |
Authors: | James Corones Robert Krueger |
| |
Institution: | Applied Mathematical Sciences, Ames Laboratory, USDOE and Department of Mathematics, Iowa State University Ames, Iowa 50011 USA;Department of Mathematics, University of Nebraska Lincoln, Nebraska 68588 USA |
| |
Abstract: | The symplectic group structure associated with the Riccati equation is exploited to derive a unifying group-theoretical framework encompassing a large number of well-known results, such as partitioning, doubling, and Chandrasekhar algorithms, the algebraic Riccati equation, and the discrete-time case. It is also used to derive a new integration-free Chandrasekhar type algorithm, and to present a fairly complete characterization of the solutions of the Riccati equation in the periodic case. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|