| Meshing and Discretization with AMReX
| A Block Structured Adaptive Mesh Refinement Framework
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| Unstructured Meshing & Discretization with MFEM
| Finite Elements and Convergence
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| Krylov Solvers and Algebraic Multigrid with hypre
| Demonstrate utility of multigrid
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| Iterative Solvers & Algebraic Multigrid (with Trilinos, Belos & MueLu)
| Introduction to Krylov Solvers and Preconditioning, with emphasis on Multigrid
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| Sparse, Direct Solvers with SuperLU
| Role and Use of Direct Solvers in Ill-Conditioned Problems
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| Rank Structured Solvers with STRUMPACK
| Using STRUMPACK for dense and sparse linear systems
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| Nonlinear Solvers with PETSc
| Introduction to Nonlinear Solvers: Newton-Krylov Methods and Nonlinear Preconditioning
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| Numerical Optimization with PETSc/TAO
| A practical introduction to large-scale gradient-based optimization
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| Time Integration with SUNDIALS
| Role and Impact of Time Integrators in Solution Accuracy and Computational Efficiency
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