Boundary Type Quadrature Formulas with Algebraic Precision
Tian-Xiao He · Birkhäuser Boston eBooks · 2001
First, in Section 1, we will show that a DRE can be made an effective tool for constructing BTQFs with preassigned algebraic precision. Section 2 will discuss the construction of BTQFs with homogeneous precision. General Hermite formulas and a class of BTQFs that has the highest possible degrees of algebraic precision will also be given. In Section 3, we will show a general process to construct quadratures for boundary integrals by using periodic wavelets and the sampling theorem. Finally, several applications of DREs and BTQFs will be given in Section 5. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.