4 papers
math.NA2020
Numerical analysis on boundary integral equation to exterior Dirichlet problem of Laplace equation
Yidong Luo
This paper investigate on numerical analysis on modified Single-layer approach to exterior Dirichlet problem of Laplace equation. We complete the convergence and error analysis of…
math.NA2019
A non-conditional divergence criteria of Petrov-Galerkin method for bounded linear operator equation
Yidong Luo
Petrov-Galerkin methods are always considered in numerical solutions of differential and integral equations . It is common to consider the convergence and error analysis wh…
math.NA2019
Unified analysis on Petrov-Galerkin method into Symm's integral of the first kind
Yidong Luo
On bounded and simply connected planar analytic domain , by periodic parametric representation of boundary curve , Symm's integral equation of the first kind…
math.NA2019
Galerkin Method with Trigonometric Basis on Stable Numerical Differentiation
Yidong Luo
This paper considers the () order numerical differentiation on function in . They are transformed into corresponding Fredholm integral equation of…