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faculty
Zheng Chen, PhD
Associate Professor
Mathematics
Contact
508-999-9236
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Spruce Hall 0174
Education
| 2014 | Brown University | PhD |
| 2010 | Brown University | MS |
Teaching
- Numerical algorithms
- Calculus
Teaching
Programs
Programs
Teaching
Courses
Research investigations of a fundamental and/or applied nature defining a topic area and preliminary results for the dissertation proposal undertaken before the student has qualified for EAS 701. With approval of the student's graduate committee, up to 15 credits of EAS 601 may be applied to the 30 credit requirement for dissertation research.
Research investigations of a fundamental and/or applied nature defining a topic area and preliminary results for the dissertation proposal undertaken before the student has qualified for EAS 701. With approval of the student's graduate committee, up to 15 credits of EAS 601 may be applied to the 30 credit requirement for dissertation research.
Theory and computer-oriented practice in obtaining numerical solutions of various problems. Topics include stability and conditioning, nonlinear equations, systems of linear equations, interpolation and approximation theory.
Numerical methods for solving parabolic, hyperbolic, and elliptic partial differential equations. The course will emphasize the concepts of consistency, convergence and stability. Topics include: implicit and explicit methods, truncation error, Von Newmann stability analysis, and the Lax equivalence theorem.
Numerical methods for solving parabolic, hyperbolic, and elliptic partial differential equations. The course will emphasize the concepts of consistency, convergence and stability. Topics include: implicit and explicit methods, truncation error, Von Newmann stability analysis, and the Lax equivalence theorem.
Research
Research awards
- $ 13,000 awarded by Mathematical Association of America for Mixed Model Implicit and IMEX Runge-Kutta Methods
- $ 438,284 awarded by Office of Naval Research for UMassD MUST IV: Learning Nonlinear Dynamical Systems from Sparse and Noisy Data: Applications to Signal Detection and Recovery
Research
Research interests
- Numerical analysis, scientific computing, high performance computing
- Machine learning, image processing, neural networks
- Kinetic problems, multi-scale computational methods
- Numerical methods for problems with singularities
- Uncertainty quantification, fractional-order partial differential equations
Dr. Chen is an Associate Professor in the Department of Mathematics at the University of Massachusetts Dartmouth. Prior to joining UMass Dartmouth six years ago, she served as a Postdoctoral Research Associate in the Computational and Applied Mathematics Group within the Computer Science and Mathematics Division at Oak Ridge National Laboratory. Before that, she held a departmental postdoctoral position in the Department of Mathematics at Iowa State University. Dr. Chen earned her PhD in Applied Mathematics from Brown University.
Her research specializes in scientific computing and numerical analysis, focusing on enhancing the accuracy, efficiency, and adaptability of numerical methods across a wide range of mathematical models. These methods are applied in areas such as fluid dynamics, kinetic theory, finance, and engineering mechanics. Dr. Chen's work is dedicated to developing and analyzing innovative algorithms that address complex real-world problems, making significant contributions to the fields of applied mathematics and computational science.