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AI techniques excel at solving complex equations in physics, especially inverse problems
Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...
SIAM Journal on Applied Mathematics, Vol. 62, No. 4 (Apr., 2002), pp. 1369-1382 (14 pages) Consider an inverse source problem for Maxwell's equations which arises in determining locations of epileptic ...
The Floquet (direct spectral) theory of the periodic Euler-Bernoulli equation has been developed by the author in [19], [21], and [20]. Here we begin a systematic study of the inverse periodic ...
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