赵振宇｜山东理工大学｜学者主页

2026

High-precision quadrature via local Fourier extension: Analytic integration, uniform sampling, and correction for piecewise smooth integrands

xinran liu, Zhenyu Zhao, Benxue Gong

Applied Numerical Mathematics

DOI

2026

Fast Numerical Derivatives Based on Multi-interval Fourier Extension

Zhenyu Zhao, Yanfei Wang, Xinran Liu

Journal of Scientific Computing

DOI

2025

Reconstruction of Piecewise Smooth Functions Based on Fourier Extension

Xusheng Li, Zhenyu Zhao, Xianzheng Jia

Axioms

DOI

2025

A local Fourier extension method for function approximation

Zhenyu Zhao, Yanfei Wang

Inverse Problems and Imaging

DOI

2025

Fast algorithms for Fourier extension based on boundary interval data

Zhenyu Zhao, Yanfei Wang, Ягола Анатолий Григорьевич

Numerical Algorithms

DOI

2025

A biharmonic solver based on Fourier extension with oversampling technique for arbitrary domain

Wenbin Li, Tinggang Zhao, Zhenyu Zhao

Applied Numerical Mathematics

DOI

2024

Numerical differentiation of the piecewise smooth function by using Fourier extension method

Zhenyu Zhao, Kai Yu, Xianzheng Jia, Zhihong Dou

Applied Numerical Mathematics

DOI

2024

A Super Order Regularization Scheme in Hilbert Scales under General Smoothing Conditions

Kai Fun Yu, Zhenyu Zhao, Tinggang Zhao

Numerical Functional Analysis and Optimization

DOI

2024

A Generalized Iterated Tikhonov Method in the Fourier Domain for Determining the Unknown Source of the Time-Fractional Diffusion Equation

Bin Zheng, Junfeng Liu, Zhenyu Zhao, Zhihong Dou, Benxue Gong

Symmetry

DOI

2023

Determining an unknown source in a time-fractional diffusion equation based on Jacobi polynomials expansion with a modified Tiknonov regularization

Hao-Dong Tang, Zhenyu Zhao, Kai Fun Yu, Benxue Gong, Xian-Zhen Jia

Advances in Continuous and Discrete Models

DOI

2022

Boundary condition limitation in an inverse source problem and its overcoming

Zhenyu Zhao

Computers & Mathematics with Applications

DOI

2022

A modified Tikhonov regularization for unknown source in space fractional diffusion equation

Kai Fun Yu, Benxue Gong, Zhenyu Zhao

Open Mathematics

DOI

2020

确定热方程未知源问题的超阶正则化方法

赵振宇，林日光，李志，梅端

《数学物理学报》

2020

A numerical differentiation method based on legendre expansion with super order Tikhonov regularization

Zhenyu Zhao, Lei You

Applied Mathematics and Computation

DOI

2020

A Hermite extension method for numerical differentiation

Zhenyu Zhao

Applied Numerical Mathematics

DOI

2020

A modified Tikhonov regularization method based on Hermite expansion for solving the Cauchy problem of the Laplace equation

Zhenyu Zhao, Lei You, Zehong Meng

Open Mathematics

DOI

2019

A New Method for De-Noising of Well Test Pressure Data Base on Legendre Approximation

Fengbo Zhang, Yuandan Zheng, Zhenyu Zhao, Zhiwei Li

Mathematics

DOI

2019

Numerical differentiation for two-dimensional functions by a Fourier extension method

Zehong Meng, Zhenyu Zhao, Duan Mei, Yongxiong Zhou

Inverse Problems in Science and Engineering

DOI

2019

Identifying an Unknown Source in the Poisson Equation with a Super Order Regularization Method

Zhi Li, Zhenyu Zhao, Zehong Meng, Baoqin Chen, Duan Mei

International Journal of Computational Methods

DOI

2014

求解椭圆方程柯西问题的修正吉洪诺夫正则化方法

谢瓯，赵振宇，孟泽红

《应用数学与计算数学学报》

2014

求解热源识别问题的修正吉洪诺夫正则化方法

赵振宇，由雷

《数学物理学报》

2010

求一阶数值微分的L-广义解方法cTSVD

赵振宇，贺国强，窦志红

《高等学校计算数学学报》

2008

重构高阶导数的磨光方法

赵振宇，贺国强

《应用数学和力学》

2008

一种积分数据的函数重构及其误差估计

刘伟，贺国强，赵振宇

《应用数学与计算数学学报》

2004

求解第一类算子方程的多重网格算法

赵振宇

《河北工业大学》

赵振宇

精选作品

期刊论文

High-precision quadrature via local Fourier extension: Analytic integration, uniform sampling, and correction for piecewise smooth integrands

Fast Numerical Derivatives Based on Multi-interval Fourier Extension

Reconstruction of Piecewise Smooth Functions Based on Fourier Extension

A local Fourier extension method for function approximation

Fast algorithms for Fourier extension based on boundary interval data

A biharmonic solver based on Fourier extension with oversampling technique for arbitrary domain

Numerical differentiation of the piecewise smooth function by using Fourier extension method

A Super Order Regularization Scheme in Hilbert Scales under General Smoothing Conditions

A Generalized Iterated Tikhonov Method in the Fourier Domain for Determining the Unknown Source of the Time-Fractional Diffusion Equation

Determining an unknown source in a time-fractional diffusion equation based on Jacobi polynomials expansion with a modified Tiknonov regularization

Boundary condition limitation in an inverse source problem and its overcoming

A modified Tikhonov regularization for unknown source in space fractional diffusion equation

确定热方程未知源问题的超阶正则化方法

A numerical differentiation method based on legendre expansion with super order Tikhonov regularization

A Hermite extension method for numerical differentiation

A modified Tikhonov regularization method based on Hermite expansion for solving the Cauchy problem of the Laplace equation

A New Method for De-Noising of Well Test Pressure Data Base on Legendre Approximation

Numerical differentiation for two-dimensional functions by a Fourier extension method

Identifying an Unknown Source in the Poisson Equation with a Super Order Regularization Method

求解椭圆方程柯西问题的修正吉洪诺夫正则化方法

求解热源识别问题的修正吉洪诺夫正则化方法

求一阶数值微分的L-广义解方法cTSVD

重构高阶导数的磨光方法

一种积分数据的函数重构及其误差估计

求解第一类算子方程的多重网格算法

预印本

An Exact-Moment Local Legendre Frame Method with Block Convolution for Caputo Fractional Differentiation

A Localized Fourier Extension Method for Piecewise-Smooth Inverse Source Reconstruction

Local Legendre Frame Approximation from Equispaced Data

A Localized Core-Tail Fourier-Laguerre Frame Method with Adaptive Frequency Detection for Unbounded-Domain Problems

Fourier Extension Based on Weighted Generalized Inverse

Spectral approximation of $ψ$-fractional differential equation based on mapped Jacobi functions

研究方向