王廷春，现为南京信息工程大学数学与统计学院教授、博士生导师、计算数学团队负责人。作为访问学者多次赴新加坡国立大学、夏威夷大学及中科院计算数学所等国内外科研院所进行访问交流，曾应邀在第九届世界华人数学家大会做45分钟邀请报告。主要从事偏微分方程数值解和计算物理方面的研究工作，在非线性Schrödinger方程、Zakharov方程、Klein-Gordon-Dirac方程等色散方程（组）的有限差分法、有限元法和谱方法的算法研究方面做出一些新的学术成果。相关成果发表在Journal of Computational Physics、Journal of Scientific Computing、Advances in Computational Mathematics、SCIENCE CHINA Mathematics、Journal of Computational Mathematics、Calcolo等学术期刊上。

• 2011年至今发表的部分学术论文
  

2023年

Jianfeng Liu, Qinglin Tang, Tingchun Wang*,  A mass- and energy-preserving numerical scheme for solving coupled Gross-Pitaevskii equations in high dimensions, Numerical Methods for Partial Differential equations, accepted.

Tingchun Wang*, Zhuo Yang, Uniform error bound of a Crank-Nicolson-type finite difference scheme for Zakharov system in the subsonic limit regime, Mathematical Methods in the Applied Sciences, accepted.

Feng Liao, Fazhan Geng, Tingchun Wang*, Two energy-preserving Fourier pseudo-spectral methods and error estimate for the Klein-Gordon-Dirac system, Communications in Nonlinear Science and Numerical Simulation, 118 (2023) 107064.

Tingchun Wang*, Tingfeng Wang, Optimal point-wise error estimates of two conservative finite difference schemes for  the coupled Gross-Pitaevskii equations with angular momentum rotation terms, Journal of Computational and Applied Mathematics, 425(2023) 115056.  

Tingchun Wang, Yue Cheng, Lihai Ji*, Unconditional optimal error estimates of conservative methods for Klein-Gordon-Dirac system in two dimensions, Applied Numerical Mathematics,  183 (2023) 263-278.   

Jialing Wang, Tingchun Wang*, Yushun Wang, A new framework of convergence analysis for solving the general nonlinear Schrödinger equation using the Fourier pseudo-spectral method in two dimensions, Advances in Applied Mathematics and Mechanics, doi:10.4208/aamm.OA-2021-0219.   

Shasha Bian, Yue Cheng, Boling Guo,Tingchun Wang*,   Error estimate of a new conservative finite difference scheme for the Klein-Gordon-Dirac system, Numerical Mathematics-Theory, Methods and Applications, 16 (2023) 140-164.  

2022年

Jianfeng Liu, Tingchun Wang*, Teng Zhang, A second-order finite difference scheme for the multi-dimensional nonlinear time-fractional Schrodinger equation, Numerical Algorithms, (2022) DOI:https://doi.org/10.1007/s11075-022-01335-6  

Yongyong Cai, Jinxue Fu, Jianfeng Liu, Tingchun Wang*, A fourth-order compact finite difference scheme for the quantum Zakharov system that perfectly inherits both mass and energy conservation, Applied Numerical Mathematics, (2022) DOI:10.1016/j.apnum.2022.03. 009.   

Teng Zhang, Tingchun Wang*, Uniform error bound of a conservative fourth-order compact finite difference scheme for the Zakharov system in the subsonic regime, Advances in Computational Mathematics, (2022) DOI:10.1007/s10444-022-09944-4.   

2021年

Jiyong Li, Tingchun Wang*, Optimal point-wise error estimate of two conservative fourth-order compact finite difference schemes for the nonlinear Dirac equation, Applied Numerical Mathematics, 162 (2021) 150-170.    

Feng Liao, Fazhan Geng, Tingchun Wang*, A mass and energy conservative fourth-order compact difference scheme for the Klein-Gordon-Dirac equations, Calcolo, 59(1) (2021) DOI: 10.1007/s10092-021-00452-3.    

2020年

Teng Zhang, Tingchun Wang*, Optimal error estimates of fourth-order compact finite difference methods for the nonlinear Klein-Gordon equation in the nonrelativistic regime, Numerical Methods for Partial Differential equations, 37(3) (2020) DOI: 10.1002/num.22664.   

Feng Liao，Luming Zhang，Tingchun Wang*,  Two energy-conserving and compact finite difference schemes for two-dimensional Schrödinger-Boussinesq equations, Numerical Algorithms, 85 (2020) 1335-1363.

Tingchun Wang*, Jialing Wang, Boling Guo, Two completely explicit and unconditionally convergent Fourier pseudo-spectral methods for solving the nonlinear Schrödinger equation，Journal of Computational Physics, 404 (2020) 109116.    

2019年

Tingchun Wang*, Boling Guo, Unconditional convergence of linearized implicit finite difference method for the 2D/3D Gross-Pitaevskii equation with angular momentum rotation, SCIENCE CHINA Mathematics, 62(9) (2019) 1669-1686.   

Tingchun Wang*, Xiaofei Zhao, Mao Peng, Peng Wang, Efficient and accurate numerical methods for long-wave short-wave interaction equations in the semiclassical limit regime, Journal of Computational Mathematics, 37(2019) 647-667.    

Feng Liao, Luming Zhang, Tingchun Wang*, Unconditional L^∞ convergence of a conservative compact finite difference scheme for the N-coupled Schrödinger-Boussinesq equations,Applied Numerical Mathematics, 138(2019) 54-77.   

2018年

Xuanxuan Zhou, Tingchun Wang, Luming Zhang*, Two numerical methods for the Zakharov-Rubenchik equations, Advances in Computational Mathematics, 45(3) (2018) 1163-1184.   

Tingchun Wang*, Xiaofei Zhao, Unconditional L^∞ convergence of two compact conservative finite difference schemes for the nonlinear Schrödinger equation in multi-dimensions, Calcolo, DOI: 10.1007/s10092-018-0277-0.  

Tingchun Wang*, Jiaping Jiang, Xiang Xue, Unconditional and optimal H¹ error estimate of a Crank-Nicolson finite difference scheme for the Gross-Pitaevskii equation with an angular momentum rotation term, Journal of Mathematical Analysis and Applications, 459 (2) (2018) 945-958.  

Tingchun Wang*, Xiaofei Zhao, Jiaping Jiang, Unconditional and optimal H²-error estimates of two linear and conservative finite difference schemes for the Klein-Gordon-Schrödinger equation in high dimensions,  Advances in Computational Mathematics，44 (2018) 477-503.  

2017年

Jialin Hong, Lihai Ji, Linghua Kong, Tingchun Wang*, Optimal error estimate of a compact scheme for nonlinear Schrödinger equation, Applied Numerical Mathematics, 120 (2017) 68-81.  

Tingchun Wang*, A linearized, decoupled and energy-preserving compact finite difference scheme for the coupled nonlinear Schrodinger equations, Numerical Methods for Partial Differential Equations, 33(3) (2017) 840–867. 

2015年

Tingchun Wang*, Uniform pointwise error estimates of semi-implicit compact finite difference methods for the nonlinear Schrodinger equation perturbed by wave operator, Journal of Mathematical Analysis and Application, 422 (2015) 286-308.   

2014年

Tingchun Wang*, Xiaofei Zhao, Optimal l∞ error estimates of finite difference methods for the coupled Gross-Pitaevskii equations in high dimensions, SCIENCE CHINA Mathematics, 57 (10) (2014)  2189-2214.  

Tingchun Wang*, Optimal Point-Wise Error Estimate of a Compact Difference Scheme for the Coupled Gross-Pitaevskii Equations in One Dimension, Journal of Scientific Computing, 59 (1) (2014) 158-186.      

Tingchun Wang*, Optimal Point-Wise Error Estimate of a Compact Difference Scheme for the Coupled Nonlinear Schrödinger Equations, Journal of Computational Mathematics, 32 (1) (2014) 58–74.   

Tingchun Wang*, Optimal point-wise error estimate of a compact difference scheme for the Klein-Gordon-Schrödinger equation, Journal of Mathematical Analysis and Application，412 (2014) 155-167.   

2013年

Yanan Zhang, Zhizhong Sun*, Tingchun Wang, Convergence analysis of linearized Crank-Nicolson scheme for the two-dimensional complex Ginzburg-Landau equation, Numerical Methods for Partial Differential Equations, 29 (5) (2013),1487-1503.    

Tingchun Wang*, Boling Guo, Qiubin Xu, Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions, Journal of Computational Physics, 243 (2013) 382-399.    

2012年

Honglin Liao, Zhizhong Sun*, Hansheng Shi, Tingchun Wang, Convergence of compact ADI method for solving linear Schrödinger equations, Numerical methods for Partial Differential Equations, 28 (2012) 1598-1619.    

2011年

王廷春*, 郭柏灵, 一维非线性Schrödinger 方程的两个无条件收敛的守恒紧格式, 中国科学：数学, 41(2011) 207-233.   

Tingchun Wang*, Maximum error bound of a linearized difference scheme for coupled nonlinear Schrödinger equation, Journal of Computational and Applied mathematics, 235 (2011) 4237-4250.     

Shengfu Deng, Boling Guo, Tingchun Wang*, Travelling wave solutions of ageneralized Camassa-Holm-Degasperis-Procesi equation, SCIENCE CHINA Mathematics, 54 (2011) 555-572.  

• 主持承担的项目

[1] 2012.1.1-2012.12.31，国家自然科学基金（天元基金11126929），“一类高维非线性发展方程的高精度有限差分算法”，主持，已结题。

[2] 2013.1.1-2015.12.31，国家自然科学基金（青年基金11201239），“广义薛定谔方程的高精度快速算法及其收敛性分析”，主持，已结题。

[3] 2016.1.1-2019.12.31，国家自然科学基金（面上项目11571181），“高振荡薛定谔型方程（组）的高分辨率快速算法”，主持，已结题。

[4] 2016.6-2019.6，江苏省高校“青蓝工程”中青年学术带头人培养对象项目，主持，已结题。

[5] 2017.7-2020.6，江苏省自然科学基金（面上项目BK20171454），“高维高振荡非线性薛定谔型方程的高精度快速算法”，主持，已结题。