Page 1 Trefftz and Collocation Methods ZC. Li, TT. Lu, WITPRESS HY. Hu & A. HD. Cheng
Page 2 TrefftzTrefftzTrefftzTrefftzTrefftz andandandandand …

This is a unique monograph on numerical conformal mapping that gives a comprehensive
account of the theoretical, computational and application aspects of the problems of …

In this article we survey the Trefftz method (TM), the collocation method (CM), and the
collocation Trefftz method (CTM). We also review the coupling techniques for the interzonal …

In this paper, the multinode Shepard method is adopted for the first time to numerically solve
a differential problem with a discontinuity in the boundary. Starting from previous studies on …

Purpose–The purpose of this paper is to aim at extending the method of exponential basis
functions (EBF) to solve a class of problems with singularities. Design/methodology …

A singular function boundary integral method for Laplacian problems with boundary
singularities is analyzed. In this method, the solution is approximated by the truncated …

We use the singular function boundary integral method (SFBIM) to solve two model fracture
problems on the plane. In the SFBIM, the solution is approximated by the leading terms of …

In this article, we analyze the singular function boundary integral method (SFBIM) for a two‐
dimensional biharmonic problem with one boundary singularity, as a model for the …

The solution fields of the elliptic boundary value problems may exhibit singularities near the
corners, edges, crack tips, and so forth of the physical domain. The corner singularity theory …

For solving the linear algebraic equations Ax= b, the new stability analysis is made based on
the effective condition number Cond_eff. The Cond_eff may provide a better upper bound of …