Yidong Luo

activity

20172020

collaborators

5 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 $A x = b$ . 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 $Ω$ , by $2 π$ periodic parametric representation of boundary curve $\partial Ω$ , 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 $p$ ( $p = 1, 2, 3$ ) order numerical differentiation on function $y$ in $(0, 2 π)$ . They are transformed into corresponding Fredholm integral equation of…

math.FA2017

Generalization of Lax Equivalence Theorem on Unbounded Self-adjoint Operators with Applications to Schrödinger Operators

Yidong Luo

Define $A$ a unbounded self-adjoint operator on Hilbert space $X$ . Let ${A_{n}}$ be its resolvent approximation sequence with closed range $ \mathcal{R}(A_n) (n \in \mathrm…