许小勇，男，1983年10月生，博士，讲师，硕士研究生导师，2019年6月毕业于湖南师范大学数学与统计学院计算数学专业，获理学博士学位。

招生专业：数学（含计算数学、应用数学）

研究方向：1、微分方程数值解 2、小波分析及其应用

教学科研：主持在研江西省自然科学基金项目和东华理工大学博士启动基金；主持完成江西省教育厅青年科学基金项目1项；参与在研及完成国家自然科学基金共3项；参与在研及完江西省自然科学基金项目及教育厅科技计划项目多项。近年来在国内外学术刊物发表论文20余篇，承担了《高等数学》、《线性代数》、《概率论与数理统计》等课程的教学。

学生要求：有一定的数值计算基础和算法编程能力。

联系方式：xiaoyongxu11@163.com

主要论文论著：
[1] Xiaoyong Xu, Fengying Zhou, Crank-Nicolson orthogonal spline collocation method combined with WSGI difference scheme for the two-dimensional time-fractional diffusion-wave equation. Open Mathematics, 2020, 18(1): 67-86.(SCI)
[2] Xiaoyong Xu, Da Xu, A high-order numerical scheme using orthogonal spline collocation for solving the two-dimensional fractional reaction-subdiffusion equation. Advances in Difference Equations, 2019, 2019(1):75.(SCI)
[3] Xiaoyong Xu, Da Xu, Legendre Wavelets Direct Method for the Numerical Solution of Time-Fractional Order Telegraph Equations, Mediterranean Journal of Mathematics, 2018, 15: 27. (SCI)
[4] Xiaoyong Xu, Da Xu, A semi-discrete scheme for solving fourth-order partial integro-differential equation with a weakly singular kernel using Legendre wavelets method, Computational & Applied Mathematics, 2018,37(4):4145-4168.(SCI)
[5] Xiaoyong Xu, Da Xu, Legendre wavelets method for approximate solution of fractional-order differential equations under multi-point boundary conditions, International Journal of Computer Mathematics, 2018, 95(5):998-1014.(SCI)
[6] Xiaoyong Xu,Fengying Zhou, Numerical solutions for the eighth-order initial and boundary value problems using the second kind Chebyshev wavelets,Advances in Mathematical Physics, 2015, 2015:1-9. (SCI)
[7]Fengying Zhou, Xiaoyong Xu,Numerical solution of fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions via Chebyshev wavelet method. International Journal of Computer Mathematics, 2019, 96(2): 436-456.(SCI)
[8] Fengying Zhou, Xiaoyong Xu,Xijing Zhang,Numerical integration method for triple integrals using the second kind Chebyshev wavelets and Gauss–Legendre quadrature,Computation & Applied Mathematics, 2018, 37:3027–3052. (SCI)
[9]Zhou, Fengying, Xiaoyong Xu, Numerical Solution of Time-Fractional Diffusion-Wave Equations via Chebyshev Wavelets Collocation Method. Advances in Mathematical Physics 2017.2017 (2017): 1-17. (SCI)
[10] Fengying Zhou, Xiaoyong Xu,The third kind Chebyshev wavelets collocation method for solving the time-fractional convection diffusion equations with variable coefficients, Applied Mathematics and Computation,2016, 280:11-29. (SCI)
[11] Fengying Zhou, Xiaoyong Xu, Numerical solutions for the linear and nonlinear singular boundary value problems using Laguerre wavelets, Advances in Difference Equations, 2016, 2016:1-17. (SCI)
[12]Fengying Zhou, Xiaoyong Xu,Numerical solution of the convection diffusion equations by the second kind Chebyshev wavelets, Applied Mathematics and Computation, 2014, 247: 353-367. (SCI)
[13]许小勇，周凤英，徐志刚,非局部守恒条件下波动方程数值解的Chebyshev小波方法[J],数学的实践与认识，2020，50(9):201-209。
[14]许小勇，周凤英，谢宇，一类具有弱奇异核的偏积分微分方程的Chebyshev小波数值方法（英文）[J]，应用数学，2019，32(4): 747-766。
[15] 许小勇，周凤英，应用 Laguerre小波算子矩阵求二重数值积分[J], 计算机工程与应用，2017，53(17)：45-49。
[16] 许小勇，樊继秋，利用Legendre小波与Gauss-Legendre求积公式求解三重数值积分[J]，数学的实践与认识，2017，47(13)：252-262。
[17] 许小勇，周凤英，第三类和第四类Chebyshev小波积分算子矩阵及其在数值积分中的应用[J]，应用数学，2016，29(1)：91-103。
[18] 周凤英, 许小勇, 利用第二类Chebyshev小波求二阶常微分方程组边值问题的数值解[J]. 数学的实践与认识, 2016(16):242-252.
[19] 周凤英,许小勇,利用Legendre小波及算子矩阵求定积分的数值逼近[J]. 应用数学学报, 2015, 38(5):862-873.