Inverse problems in the context of elliptic equations and boundary value problems represent a critical area of mathematical analysis with wide-ranging applications in imaging, geophysics, and medical ...
We apply a linear Bayesian model to seismic tomography, a high-dimensional inverse problem in geophysics. The objective is to estimate the three-dimensional structure of the earth's interior from data ...
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 ...
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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 ...
A function machine is a way of writing rules using a flow diagram. The equation \(3j - 6 = 9\) can be shown on a function machine by writing out the functions that have been applied to \(j\) in the ...
A number machine is a way of writing rules using a flow diagram. The equation \(3j - 6 = 9\) can be shown on a number machine by writing out the functions that have been applied to \(j\) in the order ...
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