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6.7340[J] Fast Methods for Partial Differential and Integral Equations

(, )
(Same subject as 18.336[J])
Prereq: 6.7300, 16.920, 18.085, 18.335, or permission of instructor
Units: 3-0-9

Unified introduction to the theory and practice of modern, near linear-time, numerical methods for large-scale partial-differential and integral equations. Topics include preconditioned iterative methods; generalized Fast Fourier Transform and other butterfly-based methods; multiresolution approaches, such as multigrid algorithms and hierarchical low-rank matrix decompositions; and low and high frequency Fast Multipole Methods. Example applications include aircraft design, cardiovascular system modeling, electronic structure computation, and tomographic imaging.
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