2008 DOE Summer School in Multiscale Mathematics and High Performance Computing

Introductions

• Multiscale Mathematics
• Continuum Modeling Methods
• Discrete Modeling Methods
• Analytical Modeling Methods
• Statistical Modeling Methods
• Network-based Modeling Methods

Surveys of new methods

• Multigrid, multilevel, and other mesh-based approaches
• Atomistic to continuum upscaling
• Data-intensive computing
• Equation-free modeling

Tutorials

• Parallel Computing
• Working with MPI

Lab Activities

• Continuum Lab
• MPI Lab
• Particle Lab
• Analytical Lab
• Mesoscale Lab

Research Talks

• Introduction to Finite Difference, Finite Element and Finite Volume Methods for the Numerical Solution of Partial Differential Equations
• Survey of New Continuum Numerical Multiscale Approaches and Limitations
• Atomistic Simulation Methods and Multiscale Modeling
• An Introduction to Multifractal Measurements
• Coupling atomistic and continuum descriptions in multi-scale modeling
• Multiscale Modeling of Preferential Flow
• Homogenization, Microstructure and Optimal Design
• Introduction to discrete particle methods I: Smoothed Particle Hydrodynamics
• Introduction to Parallel Programming
• Introduction to MPI
• Using MPI Workshop
• An Introduction to the Quasicontinuum Method
• Multigrid Robustification
• Homogenization II