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7. Mechanics, Astronomy, Numerical Analysis, and Mathematical Models in Sciences

On Solving Hyperbolic Differential Equations with Constraints Numerically

Nicolae Tarfulea
Purdue University Northwest, Hammond, USA

Abstract:

Hyperbolic differential equations with constraints arise in many physical applications (e.g., electromagnetism, magnetohydrodynamics, and general relativity). Frequently, the numerical solutions to such evolution problems are computed on artificial space cutoffs because of the necessary boundedness of computational domains. A challenging problem is choosing appropriate boundary conditions at the artificial boundaries. In this talk, I will present a few ideas and techniques for finding constraint preserving boundary conditions for a large class of constrained hyperbolic differential equations.