Thomas Hagstrom
Towards the Ultimate Solver for the Wave Equation
In recent years there have been a number of substantial
advances in numerical techniques for solving the wave equation
and Maxwell's equations in the time domain. These include:
- Efficient methods for truncating unbounded
domains which can provide arbitrary accuracy;
- Fast methods for evaluating the standard
integral solution formulas, akin to the fast
multipole method in the frequency domain;
- Discretization strategies focusing on
techniques for using high order/high
resolution approximations in complex geometry.
I will review these new developments and discuss ideas for
their improvement and extension to other wave propagation problems.
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