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 ...

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 ...

Here we introduce a methodical method for deriving governing equations for porous materials called Hybrid Mixture Theory [2-4]. Hybrid Mixture Theory is a combination of volume averaging the field ...

Time feels like the most familiar thing in the world, yet it hides one of physics’ hardest questions: why do we only remember ...

The 17th-century astronomer Johannes Kepler was the first to muse about the structure of snowflakes. Why are they so symmetrical? How does one side know how long the opposite side has grown? Kepler ...