一、基本资料

二、教育背景与工作经历

2003年9月-2007年7月：哈尔滨工程大学，数学科学学院，理学学士

2007年9月-2009年7月：哈尔滨工程大学，数学科学学院，理学硕士

2009年9月-2014年7月：哈尔滨工业大学，数学学院，理学博士

2014年7月-2021年12月：东北大学，秦皇岛分校数学与统计学院，讲师

2022年1月至今：东北大学，秦皇岛分校数学与统计学院，副教授

三、合作研究经历

2022年7月-2023年7月：新加坡南洋理工大学，电气与电子工程学院，博士后

四、主讲课程和研究方向

本科生课程：实变函数、数学物理方程、数学物理方程与特殊函数、线性代数、复变函数与积分变换

研究方向：人工智能、应用数学、地球物理学、金融学的交叉学科研究，包括深度学习（CNN、GAN、PINN）、强化学习（AlphaGo）、多尺度方法（多重网格、小波）、同伦方法、反问题。

五、主要成果和荣誉

作为项目负责人主持省部级科研项目6项（河北省自然科学基金项目2项、河北省高等学校科学研究项目1项、中央高校基本科研业务费项目3项）、海洋岸线生态修复与智慧海洋监测河北省工程研究中心开放课题项目1项、河北省地质矿产勘查开发局横向项目1项、东北大学校级科技项目1项。

发表SCI检索国际学术期刊论文28篇，EI检索国际学术会议论文24篇。

2021年12月新加坡科技研究局A*STAR作特邀学术报告，2023年5月第六届统计、数学建模与分析学术研讨会作特邀学术报告。

主要论文：

[1] T. Liu, D. Ouyang, L. Guo, R. Qiu, Y. Qi, W. Xie, Q. Ma, C. Liu, Combination of multigrid with constraint data for inverse problem of nonlinear diffusion equation, Mathematics, 2023, 11, 2887. (SCI, JCR一区)

[2] T. Liu, Z. Ding, J. Yu, W. Zhang, Parameter estimation for nonlinear diffusion problems by the constrained homotopy method, Mathematics, 2023, 11, 2642. (SCI, JCR一区)

[3] T. Liu, M.Z. Ullah, S. Shateyi, C. Liu, Y. Yang, An efficient localized RBF-FD method to simulate the Heston-Hull-White PDE in finance, Mathematics, 2023, 11, 833. (SCI, JCR一区)

[4] T. Liu, M.Z. Ullah, K.M.A. Alshahrani, S. Shateyi, From fractal behavior of iteration methods to an efficient solver for the sign of a matrix, Fractal and Fractional, 2023, 7, 32. (SCI, JCR一区)

[5] T. Liu, Parameter estimation with the multigrid-homotopy method for a nonlinear diffusion equation, Journal of Computational and Applied Mathematics, 2022, 413, 114393. (SCI, JCR一区, TOP期刊)

[6] T. Liu, Porosity reconstruction based on Biot elastic model of porous media by homotopy perturbation method, Chaos, Solitons and Fractals, 2022, 158, 112007. (SCI, JCR一区, TOP期刊)

[7] T. Liu, J. Yu, Y. Zheng, C. Liu, Y. Yang, Y. Qi, A nonlinear multigrid method for the parameter identification problem of partial differential equations with constraints, Mathematics, 2022, 10, 2938. (SCI, JCR一区)

[8] T. Liu, K. Xia, Y. Zheng, Y. Yang, R. Qiu, Y. Qi, C. Liu, A homotopy method for the constrained inverse problem in the multiphase porous media flow, Processes, 2022, 10, 1143. (SCI, JCR二区)

[9] T. Liu, R. Xue, C. Liu, Y. Qi, A regularization homotopy strategy for the constrained parameter inversion of partial differential equations, Entropy, 2021, 23, 1480. (SCI, JCR二区)

[10] T. Liu, A multigrid-homotopy method for nonlinear inverse problems, Computers and Mathematics with Applications, 2020, 79, 1706-1717. (SCI, JCR一区, TOP期刊)

[11] T. Liu, An adaptive multigrid conjugate gradient method for the inversion of a nonlinear convection-diffusion equation, Journal of Inverse and Ill-posed Problems, 2018, 26, 623-631. (SCI, JCR一区)

[12] T. Liu, A wavelet multiscale method for the inverse problem of a nonlinear convection-diffusion equation, Journal of Computational and Applied Mathematics, 2018, 330, 165-176. (SCI, JCR一区, TOP期刊)

[13] T. Liu, A nonlinear multigrid method for inverse problem in the multiphase porous media flow, Applied Mathematics and Computation, 2018, 320, 271-281. (SCI, JCR一区, TOP期刊)

[14] T. Liu, S. Liu, Identification of diffusion parameters in a non-linear convection-diffusion equation using adaptive homotopy perturbation method, Inverse Problems in Science and Engineering, 2018, 26, 464-478. (SCI, JCR二区)

[15] T. Liu, J. Song, Estimation of a permeability field within the two-phase porous media flow using nonlinear multigrid method, Mathematical Problems in Engineering, 2017, 2017, 2945712. (SCI, JCR二区)

[16] T. Liu, A wavelet multiscale-homotopy method for the parameter identification problem of partial differential equations, Computers and Mathematics with Applications, 2016, 71, 1519-1523. (SCI, JCR一区, TOP期刊)

[17] T. Liu, Reconstruction of a permeability field with the wavelet multiscale-homotopy method for a nonlinear convection-diffusion equation, Applied Mathematics and Computation, 2016, 275, 432-437. (SCI, JCR一区, TOP期刊)

[18] J. Zhao, T. Liu, An adaptive multigrid conjugate gradient method for permeability identification of nonlinear diffusion equation, Journal of Inverse and Ill-posed Problems, 2016, 24, 89-97. (SCI, JCR一区)

[19] J. Zhao, S. Liu, T. Liu, Determining surface heat flux for noncharacteristic Cauchy problem for Laplace equation, Mathematics and Computers in Simulation, 2016, 129, 69-80. (SCI, JCR一区)

[20] J. Zhao, T. Liu, A wavelet multiscale-adaptive homotopy method for the inverse problem of nonlinear diffusion equation, Inverse Problems in Science and Engineering, 2015, 23, 617-634. (SCI, JCR二区)

[21] J. Zhao, S. Liu, T. Liu, A modified kernel method for solving Cauchy problem of two-dimensional heat conduction equation, Advances in Applied Mathematics and Mechanics, 2015, 7, 31-42. (SCI, JCR二区)

[22] J. Zhao, T. Liu, G. Feng, A nonlinear multigrid method for inversion of two-dimensional acoustic wave equation, Journal of Inverse and Ill-posed Problems, 2014, 22, 429-448. (SCI, JCR一区)

[23] J. Zhao, T. Liu, S. Liu, Identification of space-dependent permeability in nonlinear diffusion equation from interior measurements using wavelet multiscale method, Inverse Problems in Science and Engineering, 2014, 22, 507-529. (SCI, JCR二区)

[24] J. Zhao, S. Liu, T. Liu, A comparison of regularization methods for identifying unknown source problem for the modified Helmholtz equation, Journal of Inverse and Ill-posed Problems, 2014, 22, 277-296. (SCI, JCR一区)

[25] J. Zhao, S. Liu, T. Liu, A new regularization method for Cauchy problem of elliptic equation, Complex Variables and Elliptic Equations: An International Journal, 2014, 59, 1302-1314. (SCI, JCR二区)

[26] J. Zhao, S. Liu, T. Liu, An inverse problem for space-fractional backward diffusion problem, Mathematical Methods in the Applied Sciences, 2014, 37, 1147-1158. (SCI, JCR一区)

[27] J. Zhao, T. Liu, S. Liu, An adaptive homotopy method for permeability estimation of a nonlinear diffusion equation, Inverse Problems in Science and Engineering, 2013, 21, 585-604. (SCI, JCR二区)

[28] J. Zhao, S. Liu, T. Liu, Two Tikhonov-type regularization methods for inverse source problem on the Poisson equation, Mathematical Methods in the Applied Sciences, 2013, 36, 1399-1408. (SCI, JCR一区)

主要项目：

[1]  基于深度学习的秦皇岛海域常见赤潮藻种图像识别技术研究，海洋岸线生态修复与智慧海洋监测河北省工程研究中心开放课题，2023.02-2023.12，主持

[2]  基于流体渗流-物理（电阻率）耦合模拟的环渤海地区深部超临界地热能源特征分析，河北省地质矿产勘查开发局横向项目，2022.05-2022.12，主持

[3]  流体饱和多孔介质参数反演的全变差正则化方法研究，中央高校基本科研业务费国家项目培育基金，2021.01-2022.12，主持

[4]  基于流体质量平衡方程的储层参数反演的重构模型和算法研究项目，河北省自然科学基金面上项目，2020.01-2022.12，主持

[5]  非线性对流-扩散方程反问题的同伦混合方法研究，中央高校基本科研业务费国家项目培育基金，2019.01-2020.12，主持

[6]  非线性扩散方程反演问题的同伦混合优化方法研究，河北省自然科学基金青年科学基金，2017.01-2019.12，主持

[7]  多孔多相介质流渗透率反演的多尺度方法研究，中央高校基本科研业务费青年教师科研启动基金，2015.01-2016-12，主持

[8]  非线性扩散方程渗透率反演的小波多重网格方法，河北省高等学校科学研究项目，2015.01-2016.12，主持

[9]  半线性微分方程的数值理论及其应用，国家自然科学基金面上项目，2013.01-2016.12，参与

荣誉：

[1]  2023年  本科生毕业设计优秀指导教师

[2]  2022年  本科生毕业设计优秀指导教师

[3]  2022年  创新创业教育优秀指导教师

[4]  2021年  本科生毕业设计优秀指导教师

[5]  2021年  创新创业教育优秀指导教师

[6]  2020年  河北省自然科学基金结题验收优秀项目

六、主要社会团体兼职

[1]  Reviewer for Mathematical Reviews of American Mathematical Society.

[2]  Guest Editor of Special Issue on Differential Equations and Inverse Problems of Axioms (SCI, JCR二区, IF: 1.824).

[3]  Topical Advisory Panel Member of Mathematics (SCI, JCR一区, IF: 2.592).

[4]  Editor of Journal of Advances in Applied & Computational Mathematics.

[5]  External Examiner for Postgraduate Thesis of PSG College of Arts & Science.

[6]  Guest Editor of 2023 International Conference on Intelligent Computing and Technology Applications (ICTA 2023).

[7]  International Technical Committee Member of International Conferences (ICTA 2023, SMMA 2023, ICAMP 2023, IWEP 2023, ACSE 2023, CMME 2023, SMMA 2023, ICARCE 2023, AMMCS 2023, AMICS 2023, AMDS 2023, ICARCE 2022, AMMCS 2022, AMICS 2022, AMDS 2022, ICANCT 2022, CMBDA 2022, CPRA 2022).

[8]  Reviewer for SCI Journals (AIMS Mathematics, Applied Mathematics and Computation, Axioms, Communications in Nonlinear Science and Numerical Simulation, Computer Modeling in Engineering and Sciences, Electronic Research Archive, Electronics, Energies, Engineering Computations, Foundations, International Journal of Mechanical Sciences, International Journal of Non-Linear Mechanics, Inverse Problems in Science and Engineering, Journal of Applied Analysis, Journal of Applied Analysis and Computation, Journal of Mathematics, Journal of Petroleum Science and Engineering, Mathematical Methods in the Applied Sciences, Mathematics, Optimization, Sensors, Symmetry).

七、联系方式

电子邮箱：liutao@neuq.edu.cn