From industrial robots to self-driving cars, engineers face a common problem: keeping machines steady and predictable. When ...

New CRCs focus on software security, electrocatalysts for carbon recycling, isotope geochemistry, quantum systems, and ...

The math of even the simplest ocean waves is notoriously uncooperative. A team of Italian mathematicians has made major ...

Catalog description: A unified introduction to the theory and practice of modern, near linear-time, numerical methods for large-scale partial differential and integral equations. Topics include: ...

A new proof marks major progress toward solving the Kakeya conjecture, a deceptively simple question that underpins a tower of conjectures. Computer Proof ‘Blows Up’ Centuries-Old Fluid Equations For ...

THE main work of mathematical physicists is to represent the sequence of phenomena in time and space by means of differential equations, and to solve these equations. Even the revolution effected by ...

Abstract: Symbolic computation techniques for solutions of Partial Differential Equations (PDEs) with Maxima, an open source computer algebra system (CAS) are represented in three new packages. They ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

Abstract: Many problems in science and engineering can be mathematically modeled using partial differential equations (PDEs), which are essential for fields like computational fluid dynamics (CFD), ...

In teaching and textbook-writing on partial differential equations the author has observed some peculiar phenomena. He gives a bouquet of such observations in the article. Publisher Information ...

Researchers have made a breakthrough in the ability to solve engineering problems. In a new paper published in Nature entitled, “A scalable framework for learning the geometry-dependent solution ...