郑春雄

2026

Efficient Image Approximation to Multi-Layered Green Function and Its Application in Integral Equation Method

Journal of Scientific Computing

DOI

2026

Complex band structure and bound states in the continuum: a unified theoretical framework

Reports on Progress in Physics

DOI

2025

Absorbing Boundary Conditions for Variable Potential Schrödinger Equations via Titchmarsh-Weyl Theory

Communications in Computational Physics

DOI

2024

Generalized Boundary Integral Equation Method for Boundary Value Problems of Two-D Isotropic Lattice Laplacian

Journal of Scientific Computing

DOI

2024

Sparsifiable spectral equivalence of DtN mapping and its application to elliptic problems

Journal of Computational and Applied Mathematics

DOI

2023

Asymptotic Theory for the Circuit Envelope Analysis

Journal of Computational Mathematics

DOI

2023

Error Analysis on the TICER Approximation

Circuits Systems and Signal Processing

DOI

2023

Generalized integral equation method for an elliptic nonlocal equation in measure space

Communications in Mathematical Sciences

DOI

2022

Finite element/holomorphic operator function method for the transmission eigenvalue problem

Mathematics of Computation

DOI

2022

Fast artificial boundary method for the heat equation on unbounded domains with strip tails

Journal of Computational and Applied Mathematics

DOI

2021

Space Reduction for Linear Systems with Local Symmetry

Journal of Scientific Computing

DOI

2021

Efficient implementation of the exact artificial boundary condition for the exterior problem of the Stokes system in three dimensions

IMA Journal of Numerical Analysis

DOI

2020

Optimal Error Estimate of the Extended-WKB Approximation to the High Frequency Wave-Type Equation in the Semi-classical Regime

Journal of Scientific Computing

DOI

2020

Fast algorithm for the three-dimensional Poisson equation in infinite domains

IMA Journal of Numerical Analysis

DOI

2020

Numerical Computations of Nonlocal Schrödinger Equations on the Real Line

Communications on Applied Mathematics and Computation

DOI

2020

Extended WKB analysis for the linear vectorial wave equation in the high-frequency regime

Communications in Mathematical Sciences

DOI

2019

On uniform second order nonlocal approximations to linear two-point boundary value problems

Communications in Mathematical Sciences

DOI

2018

薛定谔方程的整体几何光学近似

《计算数学》

2018

An Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary Conditions

SIAM Journal on Numerical Analysis

DOI

2018

Global geometrical optics method for vector-valued Schrödinger problems

Frontiers of Mathematics

DOI

2018

Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions

SIAM Journal on Scientific Computing

DOI

2017

Reconstruction of a penetrable obstacle in periodic waveguides

Computers & Mathematics with Applications

DOI

2017

Fast and stable evaluation of the exact absorbing boundary condition for the semi-discrete linear Schrödinger equation in unbounded domains

Journal of Computational and Applied Mathematics

DOI

2016

Asymptotic analysis for time harmonic wave problems with small wave number

Journal of Mathematical Analysis and Applications

DOI

2015

Global geometrical optics approximation to the high frequency Helmholtz equation with discontinuous media

Communications in Mathematical Sciences

DOI

2014

非线性欧拉方程组的完美匹配层吸收边界条件(英文)

《计算物理》

2014

Poisson Preconditioning for Self-Adjoint Elliptic Problems

Journal of Computational Mathematics

DOI

2014

Dirichlet-to-Neumann Mapping for the Characteristic Elliptic Equations with Symmetric Periodic Coefficients

Communications in Computational Physics

DOI

2013

Global geometrical optics method

Communications in Mathematical Sciences

DOI

2012

Composite Coherent States Approximation for One-Dimensional Multi-Phased Wave Functions

Communications in Computational Physics

DOI

2012

Numerical solution of bi-periodic elliptic problems in unbounded domains

Communications in Mathematical Sciences

DOI

2010

Gaussian beam formulations and interface conditions for the one-dimensional linear Schrödinger equation

Wave Motion

DOI

2010

Initial boundary value problems for integrable systems: towards the long time asymptotics

Nonlinearity

DOI

2010

Fast evaluation of exact transparent boundary condition for one-dimensional cubic nonlinear Schrödinger equation

Frontiers of Mathematics

DOI

2010

Partition of unity refinement for local approximation

Numerical Methods for Partial Differential Equations

DOI

2010

Gaussian beam approach for the boundary value problem of high frequency Helmholtz equation

Communications in Mathematical Sciences

DOI

2009

Numerical Simulation of Waves in Periodic Structures

Communications in Computational Physics

DOI

2009

Evaluation of scattering operators for semi-infinite periodic arrays

Communications in Mathematical Sciences

DOI

2009

Numerical Simulation of Periodic Structure Problems

2009

Implementing exact absorbing boundary condition for the linear one-dimensional Schrödinger problem with variable potential by Titchmarsh--Weyl theory

RENATE

DOI

2008

Numerical scattering analysis of TE plane waves by a metallic diffraction grating with local defects

Journal of the Optical Society of America A

DOI

2008

Exact artificial boundary conditions for problems with periodic structures

Journal of Computational Physics

DOI

2008

An Exact Absorbing Boundary Condition for the Schrödinger Equation with Sinusoidal Potentials at Infinity

Communications in Computational Physics

DOI

2007

Approximation, Stability and Fast Evaluation of Exact Artificial Boundary Condition for the One-Dimensional Heat Equation

Journal of Computational Mathematics

DOI

2007

A perfectly matched layer approach to the nonlinear Schrödinger wave equations

Journal of Computational Physics

DOI

2007

Numerical solution to a linearized KdV equation on unbounded domain

Numerical Methods for Partial Differential Equations

DOI

2007

A Time-Splitting Spectral Method for Three-Wave Interactions in Media with Competing Quadratic and Cubic Nonlinearities

Communications in Computational Physics

DOI

2006

A Time-Splitting Spectral Method for the Generalized Zakharov System in Multi-Dimensions

Journal of Scientific Computing

DOI

2006

Numerical simulation of a modified KdV equation on the whole real axis

Numerische Mathematik

DOI

2006

Error analysis of a coupled finite–infinite element method for an exterior Poisson problem

Applied Numerical Mathematics

DOI

2005

双曲方程外问题的完全无反射人工边界条件(英文)

《计算物理》

2005

NUMERICAL SOLUTIONS OF AN EIGENVALUE PROBLEM IN UNBOUNDED DOMAINS

Numerical Mathematics(Theory,Methods and Applications)

2005

Exact nonreflecting boundary conditions for one-dimensional cubic nonlinear Schrödinger equations

Journal of Computational Physics

DOI

2005

A time-splitting spectral scheme for the Maxwell–Dirac system

Journal of Computational Physics

DOI

2004

Numerical simulation of a generalized Zakharov system

Journal of Computational Physics

DOI

2003

Artificial boundary method for the exterior Stokes flow in three dimensions

International Journal for Numerical Methods in Fluids

DOI

2002

Mixed Finite Element Method and Higher-Order Local Artificial Boundary Conditions for Exterior 3-D Poisson Equation

Tsinghua Science and Technology

2002

Mixed finite element method and high-order local artificial boundary conditions for exterior problems of elliptic equation

Computer Methods in Applied Mechanics and Engineering

DOI

2002

High‐order artificial boundary conditions for ideal axisymmetric irrotational flow around 3D obstacles

International Journal for Numerical Methods in Engineering

DOI

1999

三维Poisson方程外问题的高阶局部人工边界条件

《高等学校计算数学学报》

2016

半离散波动方程的数值边界条件及稳定性分析

《第十五届现代数学和力学学术会议》

2020

Finite Element Approximation of Transmission Eigenvalues for Anisotropic Media

arXiv (Cornell University)

DOI