Partial differential equations are ubiquitous in almost all applications of mathematics, where they provide a natural mathematical description of many phenomena involving change in physical, chemical, ...

Mathematics of Computation, Vol. 31, No. 140 (Oct., 1977), pp. 848-872 (25 pages) A family of difference schemes solving the Cauchy problem for quasi-linear equations is studied. This family contains ...

How are controversial ideas handled by modern science? A common charge leveled against science (generally by those who are unhappy with its conclusions) is that the only way to get funding or continue ...

For more than a century, gravity has been the stubborn outlier in physics, resisting every attempt to merge Einstein’s smooth space-time with the jittery world of quantum mechanics. A new wave of ...

Science popularization has its legends and heroes, just like any other field, though I’ve heard no plans as yet to open a Hall of Fame. Should that day come, one of the first inductees would ...

Entanglement is one of the most intriguing features of quantum mechanics. It describes non-local correlations between quantum objects, and is at the heart of quantum information sciences. Entanglement ...

Inside high-energy proton collisions, quarks and gluons briefly form a dense, boiling state before cooling into ordinary ...