Abstract: In this article, we propose a novel non-iterative method, viz., the subspace-Rytov approximation (SRA) method, to solve inverse scattering problems. This method improves the inversion ...

Legalization of the drug without much regulation has led to public health challenges. By Emily Bazelon David Leonhardt and German Lopez Produced by Jillian Weinberger More than a decade ago, The New ...

The numerical integration of stiff equations is a challenging problem that needs to be approached by specialized numerical methods. Exponential integrators form a popular class of such methods since ...

Abstract: In this article, the optimal parking trajectory planning problem with chance constraints is considered. A conservative approximation-based method is presented to handle the chance ...

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For the first time in its 95-year history, the Institute for Advanced Study (IAS) in Princeton, NJ, has appointed a woman as a permanent professor in its School of Mathematics. Last summer, computer ...

ABSTRACT: Based on theorems, the Atomic AString Functions theory, evolving since the 1970s, is introduced into Quantum Mechanics to represent a wave function via the shifts and stretches of smooth ...

Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. As soon as an appropriate mathematical model is developed, it can ...

Two weeks ago, a modest-looking paper was uploaded to the arXiv preprint server with the unassuming title “On the invariant subspace problem in Hilbert spaces”. The paper is just 13 pages long and its ...