Nature

Inverse Problems in Differential Equations

Inverse problems in differential equations constitute a pivotal area in applied mathematics and engineering, where the aim is to deduce unknown parameters or inputs within a differential equation from ...
JSTOR Daily

An Inverse Problem for a Nonlinear Diffusion Equation

SIAM Journal on Applied Mathematics, Vol. 39, No. 2 (Oct., 1980), pp. 272-289 (18 pages) In this paper we consider the determination of an unknown diffusion coefficient in a nonlinear diffusion ...
JSTOR Daily

INVERSE PROBLEMS FOR THE STATIONARY TRANSPORT EQUATION IN THE DIFFUSION SCALING

SIAM Journal on Applied Mathematics, Vol. 79, No. 6 (2019), pp. 2340-2358 (19 pages) We consider the inverse problem of reconstructing the optical parameters of the radiative transfer equation (RTE) ...
news.ucsc

François Monard honored with Calderón Prize for inverse problems work

University of California, Santa Cruz professor of mathematics François Monard has received the prestigious Calderón Prize for his work in the field of inverse problems. Broadly defined, researchers ...
Nature

Inverse Problems and Stability in Differential Equations

Inverse problems are central to modern applied mathematics, posing the challenge of deducing causes from observed effects across numerous disciplines including geophysics, medical imaging and ...