Simulation plays a major role in nearly every area of science and engineering—from data analysis to physical models. Our faculty design, build, and analyze the behavior of numerical algorithms to ensure that numerical methods are accurate and that implementations are efficient.
We design and analyze the accuracy of methods, developing numerical approximations to partial differential equations with advanced finite element methods and integral equations. We also develop solvers for these problems, including techniques based on numerical linear algebra, iterative subspace methods, and multigrid methods. Our research explores the efficiency of these methods on a range of architectures and environments, from high-concurrency nodes, such as GPUs, to large-scale supercomputing systems. We explore parallel scalability and analyze performance in computing kernels from graph algorithms to sparse linear algebra.
Faculty & Affiliate Faculty
Parallel Algorithms and Libraries, Parallel Graph Algorithms, Performance Modeling
Computational Inverse Problems, Image Reconstruction, Wave Physics Modeling in Imaging
High-Order Numerical Methods for Partial Differential Equations, Scalable Parallel Algorithms, Iterative Solvers, Parallel Computing, Spectral Element Methods, Computational Fluid Dynamics
High Performance Scientific Computing, Scalable Numerical Algorithms for PDEs, Numerical Software, Performance Analysis
Simulation Software, Numerical Libraries and Algorithms
Resilience and Fault-Tolerance, Many-Task Computing, Parallel and Distributed Computing, Sustainable and Open Science Software
Integral Equation Methods for PDEs, High-Order Finite Element Methods for Hyperbolic PDEs, Tools and Languages for High-Performance Computing, Time Integration
Extreme-Scale Computing and Analytics, Performance Evaluation, Reliability and Resiliency of Large Scale Systems, Data and Storage Techniques, Performance Variability
Numerical Analysis, Scientific Computing, Large-Scale Simulation, Multigrid and Iterative Methods, Finite Element Methods
Parallel Computing, Compilers, Parallel Libraries, High Performance Computing, Parallel Architecture, Exascale Computing
Large-Scale Parallel Systems, Algorithms, Libraries
Numerical Linear Algebra, Tensor Computations, Parallel Algorithms, Quantum Chemistry, Quantum Simulation
Determinism in High-Performance and Distributed Computing, Check-Pointing, Fault Prediction