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Dec 21, 2024
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MATH 7180 - Advanced Numerical Methods in Scientific Computing
Introduces advanced numerical methods in scientific computing. Topics include: Particle-Mesh Ewald and the Fast multipole methods, boundary element methods, absorbing and perfectly matched layered boundary conditions, Yee’s finite difference and discontinuous Galerkin methods, surface integral equation methods, Nedelec edge elements for Maxwell equations, Bloch theory and periodic structures and photonics, Boltzmann and Wigner kinetic methods, high resolution Godunov methods and WENO methods for hydrodynamic equations, particle-in-cell and constrained transport methods for magnetohydrodynamics.
Credit Hours: (3)
Prerequisite(s): MATH 5172 and MATH 5176 , or permission of the department.
Schedule of Classes
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