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Past Seminars
Models of Mitochondrial Fission from ODE to PDE to DDE
Speaker: Colleen Mitchell, Dept. of Mathematics
Time integration methods for systems with constraints
Speaker: Laurent O. Jay, Department of Mathematics
Mathematics Faculty Colloquium - Xueyu Zhu; University of Iowa Department of Mathematics
Title: Recent Advancement of Scientific Machine Learning
Abstract: Machine learning has revolutionized scientific computing, offering unprecedented computational efficiency, flexibility, and applicability to real-world challenges. However, traditional machine learning approaches often overlook the rich insights provided by existing physical laws or mathematical properties. This talk explores the latest advancements in AI techniques that respect existing physical laws or mathematical properties...
Multigrid Methods in Space and Time for Extreme-scale Scientific Computing
Speaker: Dr. Rob Falgout, Center for Applied Scientific Computing (CASC) at Lawrence Livermore National Laboratory (LLNL)
Abstract: Multigrid methods play a key role in large-scale scientific simulation because they are among the fastest and most scalable approaches for solving systems of equations. They are widely used to solve the sparse spatial systems that arise in these simulations, and they have been shown to scale efficiently on today’s supercomputers. For time-dependent simulations...
Parallel-in-Time Solution of Systems of Linear and Nonlinear Hyperbolic PDEs
Speaker: Dr. Rob Falgout, Center for Applied Scientific Computing (CASC) at Lawrence Livermore National Laboratory (LLNL)
Abstract: The multigrid reduction in time (MGRIT) method is a parallel multigrid-in-time solver designed to be as non-intrusive as possible and take advantage of existing simulation codes and techniques. This has worked well for parabolic equations, but parallel-in-time methods for advection-dominated hyperbolic problems have proven difficult to develop. In previous work, we...