Compound-matrix Riccati method for solving boundary-value problems. (English) Zbl 1044.65065

Ivansson, Sven

ZAMM, Z. Angew. Math. Mech. 83, No. 8, 535-548 (2003).

The author presents a new formulation of the Riccati method involving compound matrices. Using identities for the compound matrices he is able to reduce the amount of work needed. He gives an example.

Reviewer: J. D. P. Donnelly (Oxford)

MSC:

65L10	Numerical solution of boundary value problems involving ordinary differential equations
34B10	Nonlocal and multipoint boundary value problems for ordinary differential equations
65F30	Other matrix algorithms (MSC2010)

Keywords:

boundary-value problems; Riccati method; propagator matrix; Grassmannian manifold; seismo-acoustic waves; fluid-solid medium; anisotropy; numerical example