Name
Abstract | ||
|---|---|---|
Discrete-time orthogonal spline collocation schemes are formulated and analyzed for vibration problems involving various boundary conditions. Each problem is written as a Schrödinger-type system, which is then approximated by Crank--Nicolson and/or alternating direction implicit orthogonal spline collocation schemes. These schemes are shown to be second-order accurate in time and of optimal order accuracy in space in the Hm-norm, m=1,2. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1137/S0036142900348729 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
vibration problems,orthogonal spline collocation,Gauss points,Crank-Nicolson scheme,alternating direction implicit method | Alternating direction implicit method,Thin plate spline,Hermite spline,Orthogonal collocation,Mathematical analysis,M-spline,Discrete time and continuous time,Collocation method,Mathematics,Crank–Nicolson method | Journal |
Volume | Issue | ISSN |
39 | 6 | 0036-1429 |
Citations | PageRank | References |
5 | 0.61 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bingkun Li | 1 | 5 | 0.61 |
| Graeme Fairweather | 2 | 165 | 40.42 |
| Bernard Bialecki | 3 | 114 | 18.61 |