Applied & Computational Mathematics
Applied and computational mathematics includes mathematics with a wide range of applications across the sciences. Specific research areas can be found in faculty descriptions below.
Researcher Advisors for Applied & Computational Mathematics

Bio ItemNicole Abaid , bio
Dr. Abaid's research focuses on networked dynamical systems. She studies diverse biological systems, ranging from animal groups to brain networks, to inspire novel results in mathematical modeling and control.

Bio ItemSlimane Adjerid , bio
Professor Adjerid conducts research on developing new discontinuous finite element methods for solving partial differential equations.

Bio ItemDaniel Appelö , bio
Professor Daniel Appelö is a numerical analyst with an interest in computational techniques for solving differential equations fast and accurately. He is excited about applications in acoustics, electromagnetics, fluids, and more recently in quantum computing.

Bio ItemChristopher Beattie , bio
The principal research interests of Professor Beattie are in the areas of scientific computing and large scale computational linear algebra, with an emphasis on iterative Krylov methods.

Bio ItemJeff Borggaard , bio
Professor Borggaard studies the design and control of fluids. This includes computational fluid dynamics, control theory, optimization, sensitivity analysis, uncertainty quantification, and reducedorder models. In each case, the application of these research areas to partial differential equations that describe fluids are of interest.

Bio ItemJohn Burns , bio
Professor Burns' current research is focused on computational methods for modeling, control, estimation and optimization of complex systems where spatially distributed information is essential. This includes systems modeled by partial and delay differential equations. Recent applications include modeling and control of thermal fluids, design and thermal management systems and optimization of mobile sensor networks.

Bio ItemPaul Cazeaux , bio
Professor Cazeaux's research deals with multiscale phenomena in mathematical physics and biology, with recent applications in quantum chemistry and condensed matter physics (2D materials).

Bio ItemYingda Cheng , bio
Professor Cheng's research areas are in scientific computing, applied mathematics and datadriven modeling and computation. She develops numerical methods for partial differential equations, particularly those in higher dimensional space. The application area of Professor Cheng's research includes fusion energy and semiconductor device modeling, to name a few.

Bio ItemLauren M. Childs , bio
Professor Childs develops and analyzes mathematical and computational models to examine biologicallymotivated questions.

Bio ItemEric de Sturler , bio
Professor de Sturler's research focuses on numerical analysis for largescale computational problems with an emphasis on fast solvers for linear and nonlinear systems, inverse problems and parameter estimation, optimization, and design, including iterative solvers and numerical linear algebra, randomization, stochastic methods, model reduction, and high performance computing with applications in computational mechanics, such structural optimization and computational fluid dynamics, tomography and image reconstruction, big data, computational physics, biology, and computer graphics.

Bio ItemMark Embree , bio
CMDA Program Director Professor Embree studies numerical linear algebra and spectral theory, with particular interest in eigenvalue computations for nonsymmetric matrices and transient behavior of dynamical systems.

Bio ItemSerkan Gugercin , bio
Professor Gugercin studies computational mathematics, numerical analysis, and systems and control theory with a focus on datadriven modeling and model reduction of largescale dynamical systems with applications to inverse problems, structural dynamics, material design, and flow control.

Bio ItemTraian Iliescu , bio
At the core of Professor Iliescu's research program is his vision of using both mathematics and computations to provide new knowledge on turbulent fluid flows dominated by coherent structures and create models with practical impact in engineering, climate modeling, and medicine. The ultimate goal of his research program is to transform turbulence modeling as we know it today and use mathematics, computations, physics, and data to discover general laws of turbulent fluid flows.

Bio ItemTao Lin , bio
Professor Tao Lin's main research interest is the numerical analysis on computational methods related with differential equations. He designs new numerical methods and carry out their convergence analysis. His recent research focuses on immersed finite element (IFE) methods that can solve interface problems of partial differential equation with interface independent meshes. He is also working on applying IFE methods to interface inverse problems via the shape optimization methodology.

Bio ItemHonghu Liu , bio
Professor Liu's research focuses on the design of effective lowdimensional reduced models for nonlinear deterministic and stochastic PDEs as well as DDEs. Applications to classical and geophysical fluid dynamics are actively pursued. Particular problems that are addressed include bifurcation analysis, phase transition, surrogate systems for optimal control, and stochastic closures for turbulence.

Bio ItemAgnieszka Miedlar , bio
Professor Miedlar conducts research in numerical analysis and scientific computing, with a focus on iterative solvers for largescale linear systems and eigenvalue problems, and adaptive finite element methods (AFEMs).

Bio ItemMirjeta Pasha , bio
Dr. Pasha is an Assistant Professor with research interests on high dimensional (tensor) data analysis, regularization for inverse problems, uncertainty quantification, and highperformance computing. She develops computationally efficient methods and algorithms to solve largescale problems that arise from an extensive list of applications in data science, medicine, and engineering.

Bio ItemMichael A. Robert , bio
Professor Robert builds and analyzes mathematical models to study biological phenomena. He is particularly interested in developing and exploring models to better understand how ecological, meteorological, anthropogenic, and evolutionary processes impact the emergence, spread, and control of infectious diseases.

Bio ItemJohann Rudi , bio
Professor Johann Rudi's research is interdisciplinary and spans largescale parallel iterative methods for nonlinear and linear systems, development and implementation of algorithms for highperformance computing (HPC) platforms, computational aspects of inverse problems, and quantification of uncertainties in the inferred parameters.

Bio ItemShuMing Sun , bio
Professor Sun's research interests include the mathematical theory of fluid mechanics, the theory of partial differential equations, and applied nonlinear analysis.

Bio ItemPeter Wapperom , bio
Professor Wapperom conducts research in computational fluid dynamics of complex fluids. This involves the mathematical modeling and numerical simulation of the flow of polymeric liquids and fluids reinforced with rigid particles.

Bio ItemTim Warburton , bio
Professor Warburton holds the John K. Costain Chair in the College of Science at Virginia Tech and is a faculty member of both the Department of Mathematics and the Computational Modeling and Data Analytics program. His research interests include developing new parallel algorithms and methods that are used to solve PDE based physical modes on the largest supercomputers.

Bio ItemLayne T. Watson , bio
Dr. Watson's research interests include numerical analysis; nonlinear programming; mathematical software; solid mechanics; fluid mechanics; image processing; parallel computation; bioinformatics.

Bio ItemSteffen Werner , bio
Professor Werner conducts research at the intersection of scientific computing and numerical linear algebra with particular focus on scientific machine learning, model order reduction, datadriven modeling, optimization and control of partial differential equations, matrix equations and mathematical software development.

Bio ItemPengtao Yue , bio
Professor Yue works on the numerical simulation of flow problems with moving boundaries and complex rheology, including multiphase flow, viscoelastic fluids, dynamic wetting, and phase change phenomena.

Bio ItemLizette Zietsman , bio
Professor Zietsman's research area covers the development and analysis of fundamental numerical algorithms arising in the study of stability, control and estimation of distributed parameter systems typical in structural control, fluid flow control, and thermal systems.
Researchers of Applied & Computational Mathematics

Bio ItemAndrea Carracedo Rodriguez , bio
Dr. Carracedo Rodriguez conducts research in numerical analysis, with a focus on efficiently building approximations to dynamical systems from data or via model reduction.

Bio ItemEric Ufferman , bio
Collegiate Assistant Professor Ufferman teaches classes in both Computational Modeling and Data Analytics and Discrete Mathematics.

Bio ItemGazi Mahmud Alam , bio
Dr. Alam's research interests are focused on the development of methods and algorithms for solving control and inverse problems on quantum graphs.

Bio ItemJason R. Wilson , bio
Collegiate Assistant Professor Wilson teaches Math and CMDA classes. His research interests include large scale linear algebra, high performance computing, and the mathematical foundations of data science.

Bio ItemJohn Taylor Burleson , bio
Instructor Burleson is currently engaged with teaching with an interest in computational fluid dynamics.

Bio ItemJorge Reyes , bio
Dr. Reyes' research involves the theoretical and computational study of fluid dynamics primarily based on the NavierStokes equations (NSE). These studies consist of the finite element analysis of numerical solutions for fullorder models and the development of corresponding reduced order models (ROMs).

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Bio ItemNilton Garcia Hilares , bio
Dr. Hilares' research interests lie in computational and applied linear algebra.

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Bio ItemPetar Mlinarić , bio
Dr. Mlinarić conducts research in the field of model order reduction, in particular, structurepreserving and optimal methods.

Bio ItemPingHsuan Tsai , bio
I am a postdoctoral associate working on developing datadriven reducedorder models for turbulent heat transfer applications. Particularly, focusing on developing stabilization strategies and error indicators for turbulent flows to be used in engineering routine and design analysis. In addition to turbulent flows, plasma physics is another application that I have been working on recently.

Bio ItemShixu Meng , bio
Dr. Meng’s research interests include computational and analytical methods for solving PDEs and inverse problems, and a major theme is on forward and inverse scattering problems. His most recent interest is on low rank methods and dimension reduction techniques.

Bio ItemTurker Topcu , bio
Dr. Topcu works in the field of computational science. His research involves developing algorithms and codes to solve partial and ordinary differential equations to simulate quantum dynamical systems.
Recently Retired Faculty

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