September 2000–July 2005, Ph.D., Department of Mathematical Sciences, Tsinghua University, Advisor: Houde Han

September 1996–July 2000, Bachelor’s Degree, Department of Mathematical Sciences, Tsinghua University

1. 2024–Present, Associate Professor, Teaching Center of Mathematics, Tsinghua University

2. December 2009–2024, Associate Professor, Department of Mathematical Sciences, Tsinghua University

3. July 2007–December 2009, Lecturer, Department of Mathematical Sciences, Tsinghua University

4. July 2005–July 2007, Postdoctoral Researcher, Institute for Advanced Study, Tsinghua University, Co-advisor: Shi Jin

University of Vienna, Austria, January 2007–June 2007

University of Toulouse III, France, June 2007–September 2007

University of Wisconsin-Madison, USA, October 2008–March 2009

University of California, Los Angeles, USA, Institute for Pure & Applied Mathematics, March 2009–September 2009

University of Wisconsin-Madison, USA, January 2011–July 2011

Long-term instructor for undergraduate courses including Linear Algebra, Fundamentals of Scientific and Engineering Computing, Numerical Analysis, Mathematical Experiments, Mathematica and Its Applications, and Computational Practice.

Since 2008, responsible for teaching and research for university-wide graduate courses including Numerical Analysis A, Advanced Numerical Analysis, and Mathematics for Master of Engineering, as well as specialized graduate courses in the Department of Mathematics: Numerical Solutions of Partial Differential Equations, Difference Methods, Finite Element Methods, and Large-Scale Scientific Computing.

1. NSFC General Program Project, 11871298, Asymptotic Analysis and Eigenfunction Expansion Numerical Methods for Multi-Scale Time Evolution Problems, January 2019–December 2023, 600,000 CNY, Completed, Participant.

2. NSFC General Program Project, 11571196, Multi-Scale Modeling and Computation of Quantum Transport, January 2016–December 2019, 600,000 CNY, Completed, Principal Investigator

3. National 863 Program, 2015AA016101, Research on Service-Oriented Software-Defined Network Architecture and Key Technologies, January 2015–December 2017, 247,000 CNY, Completed, Participant

4. NSFC General Program Project, 11371218, Global Geometric Optics Methods and Numerical Simulation of High-Frequency Waves, January 2014–December 2017, 550,000 CNY, Completed, Participant

5. NSFC Key International Cooperation Project, 61120106008, Research on Ubiquitous Network Access and Transmission Mechanisms and Standards for Cloud Computing, January 2012–December 2016, 2,550,000 CNY, Completed, Participant

6. Beijing Higher Education Young Talent Program, January 2013–December 2015, Mathematics, 150,000 CNY, Completed, Principal Investigator

7. NSFC General Program Project, 11071139, Eigenfunction Expansion Coupling Methods for Solving Multi-Scale Problems, January 2011–December 2013, 250,000 CNY, Completed, Participant

8. NSFC Young Scientist Fund Project, 10901091, Multi-Scale Coupling Methods for High-Frequency Waves, January 2010–December 2012, 160,000 CNY, Completed, Principal Investigator

9. NSFC Tianyuan Fund Project, 10826027, Methods for Computational Geometric Optics Caustics, January 2009–December 2009, 30,000 CNY, Completed, Principal Investigator

10. China Postdoctoral Science Foundation First-Class Funding Project, 20060390076, Hamiltonian-Preserving Schemes and Coupling Algorithms for Geometric Diffraction Theory of High-Frequency Waves, January 2007–December 2008, 50,000 CNY, Completed, Principal Investigator

11. NSFC General Program Project, 10676017, Research on Eulerian Numerical Simulation Methods for High-Temperature, High-Density, Multi-Media Large Deformations, January 2007–December 2009, 220,000 CNY, Completed, Participant

12. NSFC General Program Project, 104710973, Numerical Solutions of Evolution Equations in Unbounded Domains—Artificial Boundary Methods, January 2005–December 2007, 160,000 CNY, Completed, Participant

Research fields: Modeling and computation of high-frequency waves and quantum transport, numerical analysis and computation of fractional differential equations, and theory and applications of multi-objective variational and optimization methods. Utilized semi-classical limits and multi-scale modeling to study high-frequency waves and quantum transport, developing multi-scale models and algorithms that capture microscopic effects such as diffraction and quantum tunneling while maintaining computational efficiency comparable to classical models. Fractional differential equations, an emerging field in the past decade, have been widely applied in anomalous diffusion, porous media, and biology. Proposed new perspectives on the maximum principle and boundary condition handling for fractional differential equations and designed fast and effective numerical algorithms.

(1) Houde Han, Yintzer Shih^#, Dongsheng Yin, Tailored Finite Point Methods for Solving Singularly Perturbed Eigenvalue Problems with Higher Eigenvalues, Journal of Scientific Computing, 2017(73): 242–282

(2) H. Brunner^#, H. Han and D. Yin, The Maximum Principle for Time-Fractional Diffusion Equations and Its Application, Numerical Functional Analysis and Optimization, 2015(36): 1307–1321

(3) H. Brunner, H. Han and D. Yin^#, Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain, Journal of Computational Physics 2014(276): 541-562

(4) S. Jin, D. Wei and D. Yin^#, Gaussian beam method for the Schrodinger equation with discontinuous potentials, Journal of Computational and Applied Mathematics, 2014(265): 199-219

(5) D. Yin^#, M. Tang and S. Jin, The Gaussian beam method for the Wigner equation with discontinuous potentials, Inverse Problems and Imaging, 2013(3): 1051-1074

(6) D. Yin and C. Zheng^#, Composite Gaussian beam approximation method for one dimensional multi-phased wave functions, Communications in Computational Physics, 2012(3): 951-984

(7) D. Yin and C. Zheng^#, Gaussian beam formulations and interface conditions for the one-dimensional linear Schrodinger equation, Wave Motion, 2011(48): 310-324

(8) S. Jin and D. Yin^#, Computational high frequency waves through curved interfaces viathe Liouville equation and Geometrical Theory of Diffraction, Journal of Computational Physics, 2008(227): 6106-6139

(9) H. Han and D. Yin^#, The absorbing boundary conditions for multidimensional Klein-Gordon equations, Communication in Mathematical Sciences, 2007(3): 743-764

(10) H. Han^#, D. Yin and Z. Huang, Numerical Solutions of Schrodinger equation in R^3, Numerical Methods for Partial Differential Equations, 2007(3): 511-533