Course Available for Registration
Spring 2021
Math 578
TR 2:50-4:05 Ayres 123
Conservation Laws, expressing conservation of mass, momentum, energy,
or charge, constitute the cornerstone of models of physical processes.
Their numerical solution is a central problem in Scientific Computation.
An essential feature of the course is parallelization with MPI.
FEATURES
Unified treatment of physical meaning,
mathematical properties, and numerical methods.
Focused primarily on the physically meaningful, simple to
implement, and effective, Finite Volume discretization.
Emphasis on ideas, derivation, explanation of numerical schemes,
physical meaning, how they work,
advantages/disadvantages, implementation issues, hands-on computing.
Parallelization for distributed computing via domain decomposition and MPI, on clusters.
Recent advances in shock-capturing higher order schemes.
Prerequisites:
PDE (M435); Programming ( Fortran or C or Python ); or consent of instructor.
The course qualifies for UT's IGMCS program.
Course web site:
www.math.utk.edu/~vasili/578/
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