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Zhi-zhong Sun

Zhi-zhong Sun

D-Index & Metrics

Mathematics

D-Index
45
Citations
8823
World Ranking
1464
National Ranking
78

Overview

Zhi-zhong Sun is affiliated with Southeast University in China and has contributed extensively to the field of mathematics, focusing primarily on numerical analysis and applied mathematics. Their research spans over 60 publications, covering a range of topics related to differential equations and numerical methods.

The scientist's research interests prominently include the following topics:

  • Differential Equations and Numerical Methods
  • Fractional Differential Equations Solutions
  • Numerical methods for differential equations
  • Numerical methods in engineering
  • Nonlinear Differential Equations Analysis
  • Nonlinear Waves and Solitons
  • Differential Equations and Boundary Problems

Within their main fields of study, Zhi-zhong Sun has focused on:

  • Mathematics

With significant emphasis on subfields, their work involves:

  • Numerical Analysis
  • Modeling and Simulation
  • Applied Mathematics
  • Mechanics of Materials
  • Statistical and Nonlinear Physics

Their research has been published in several noted scientific venues, including:

  • Numerical Methods for Partial Differential Equations
  • Advances in Computational Mathematics
  • Numerical Algorithms
  • Applied Mathematics Letters
  • Computational and Applied Mathematics

Recent publications involving Zhi-zhong Sun include:

  • Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations, 2020, Computers & Mathematics with Applications
  • An H2N2 Interpolation for Caputo Derivative with Order in (1, 2) and Its Application to Time-Fractional Wave Equations in More Than One Space Dimension, 2020, Journal of Scientific Computing
  • The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation, 2021, Advances in Computational Mathematics
  • Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations, 2021, Numerical Algorithms
  • Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations, 2022, SIAM Journal on Numerical Analysis

Zhi-zhong Sun has collaborated frequently with several co-authors, among them:

  • Ruilian Du
  • Qifeng Zhang
  • Changpin Li
  • Xuping Wang
  • Guang-hua Gao

Best Publications

  • A fully discrete difference scheme for a diffusion-wave system

    Zhi-zhong Sun;Xiaonan Wu

  • A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

    Guang-hua Gao;Zhi-zhong Sun;Hong-wei Zhang

  • A compact finite difference scheme for the fractional sub-diffusion equations

    Guang-hua Gao;Zhi-zhong Sun

  • Finite difference methods for the time fractional diffusion equation on non-uniform meshes

    Ya-Nan Zhang;Zhi-Zhong Sun;Hong-Lin Liao

  • A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation

    Xuan Zhao;Zhi-zhong Sun;Zhao-peng Hao

  • A compact difference scheme for the fractional diffusion-wave equation

    R. Du;W.R. Cao;Z.Z. Sun

  • Second-order approximations for variable order fractional derivatives

    Xuan Zhao;Zhi-zhong Sun;George Em Karniadakis

  • Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation

    Ya-nan Zhang;Zhi-zhong Sun

  • Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations

    Hong-Lin Liao;Zhi-Zhong Sun

  • A fourth-order approximation of fractional derivatives with its applications

    Zhao-peng Hao;Zhi-zhong Sun;Wan-rong Cao

  • Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation

    Ya-nan Zhang;Zhi-zhong Sun;Xuan Zhao

  • Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme

    Yonggui Yan;Zhi-Zhong Sun;Jiwei Zhang

  • Error Estimates of Crank-Nicolson-Type Difference Schemes for the Subdiffusion Equation

    Ya-nan Zhang;Zhi-zhong Sun;Hong-wei Wu

  • A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions

    Guang-hua Gao;Zhi-zhong Sun;Ya-nan Zhang

  • Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions

    Jincheng Ren;Zhi-Zhong Sun;Xuan Zhao

  • Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence

    Guang-Hua Gao;Hai-Wei Sun;Zhi-Zhong Sun

  • A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions

    Xuan Zhao;Zhi-zhong Sun

  • A High-Order Compact Finite Difference Scheme for the Fractional Sub-diffusion Equation

    Cui-Cui Ji;Zhi-Zhong Sun

  • The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for Solving the Time Multi-term and Distributed-Order Fractional Sub-diffusion Equations

    Guang-hua Gao;Anatoly A. Alikhanov;Zhi-zhong Sun

  • On the L∞ convergence of a difference scheme for coupled nonlinear Schrödinger equations

    Zhi-zhong Sun;Dan-dan Zhao

  • A second-order accurate linearized difference scheme for the two-dimensional Cahn-Hilliard equation

    Zhi Zhong Sun

Frequent Co-Authors

George Em Karniadakis
George Em Karniadakis Brown University
Guang Lin
Guang Lin Purdue University West Lafayette
Weiwei Sun
Weiwei Sun United International College

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