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 ...

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 ...

Vol. 19, No. 3, Special Issue: Integral Equations and Inverse Boundary Value Problems (FALL 2007), pp. 237-260 (24 pages) We study the inverse problem to reconstruct the shape of a three dimensional ...

Simplify or manipulate expressions involving polynomial, radical, exponential, or logarithmic terms using appropriate properties and rules Use numeric or variable substitution while working with ...

Inverse problems, central to modern applied mathematics, involve deducing unknown parameters or functions in differential equations from observed spectral data. This field is pivotal in understanding ...