A practical guide to splines.
| Autor principal: | |
|---|---|
| Formato: | Libro |
| Lenguaje: | Inglés |
| Publicado: |
New York :
Springer-Verlag,
c1978.
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| Colección: | Applied mathematical sciences
27 |
| Materias: | |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
Tabla de Contenidos:
- Contenido: Polynomial interpolation. Limitations of polymonial approximation. Piecewise linear approximation. Piecewise cubic interpolation, CUBSPL. Best approximation properties of complete cubic spline interpolation and its error. Parabolic spline interpolation. A representation for piecewise polynomial functions, PPVALU, INTERV. The spaces IP and the truncated power basis. The representation of PP functions by B-splines. The stable evaluation of B-splines ans splines, BSPLVB, BVALUE, BSPLPP. The B-splines series. Local spline approximation methods and the distance from splines, NEWNOT. Spline interpolation, SPLINT, SPLOPT. Smoothing and least-squares approximation, SMOOTH, L2APPR. The numerical solution of an ordinary differential equation by collocation, BSPLVD, COLLOC. Taut splines, periodic splines, cardinal splines and the approximation of curves, TAUTSP. Surface approximation by tensor products. Appendix. Listing of SOLVEBLOK package.