A test problem which may be set up as an initial value, boundary value or eigenvalue problem with adjustable stiffness is presented. It is used to compare five methods (RKI, ORTNRM, SUPORT, GEAR and finite difference) of analysing stiff eigensystems in order to select methods powerful enough to be u
Numerical methods for eigensystems: the Orr-Sommerfeld problem as an initial value problem
β Scribed by John M. Gersting Jr.
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 525 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study the inverse problem of recovering differential operators of the Orr -Sommerfeld type from the Weyl matrix. Properties of the Weyl matrix are investigated, and an uniqueness theorem for the solution of the inverse problem is proved.
We suggest a new difference scheme for dealing with contact nonlinear Hamiltonians. The scheme has two parts. First, the system is transformed to the interaction picture of quantum mechanics using the time-independent Hamiltonian H 0 . This reduces the problem to a system of ordinary differential eq
We introduce the RKGL method for the numerical solution of initial-value problems of the form y =f (x, y), y(a)= . The method is a straightforward modification of a classical explicit Runge-Kutta (RK) method, into which Gauss-Legendre (GL) quadrature has been incorporated. The idea is to enhance the