𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Coiflet interpolation and approximate solutions of elliptic partial differential equations

✍ Scribed by En-Bing Lin; Xiaolin Zhou


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
134 KB
Volume
13
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.

✦ Synopsis


In this article, we prove a higher order interpolation result for square -integrable functions by using generalized coiflets. Convergence of approximation by using generalized coiflets is shown. Applications to wavelet -Galerkin approximation of elliptic partial differential equations and some numerical examples are also given.


πŸ“œ SIMILAR VOLUMES


Periodic Solutions of Non-linear Anisotr
✍ Klaus PflΓΌger πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 471 KB πŸ‘ 2 views

Periodic solutions of arbitrary period to semilinear partial differential equations of Zabusky or Boussinesq type are obtained. More generally, for a linear differential operator A ( y , a ) , the equation A ( y , a)u = ( -l)lYlas,f(y, Pu), y = (t, x) E Rk x G is studied, where homogeneous boundary

Explicit and approximate solutions of se
✍ Ivan P. Gavrilyuk; Vladimir L. Makarov πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 344 KB

The explicit closed-form solutions for a second-order differential equation with a constant self-adjoint positive definite operator coefficient A (the hyperbolic case) and for the abstract Euler-Poisson-Darboux equation in a Hilbert space are presented. On the basis of these representations, we prop