Linear and quasilinear first order PDE. The method of characteristics. Conservation laws and propagation of shocks. Basic theory for three classical equations of mathematical physics (in all spatial ...

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 ...

Partial differential equations (PDEs) are a class of mathematical problems that represent the interplay of multiple variables, and therefore have predictive power when it comes to complex physical ...

Japanese mathematician Masaki Kashiwara wins Abel Prize for contributions to algebraic analysis and representation theory at ...

This is the first part of a two course graduate sequence in analytical methods to solve ordinary and partial differential equations of mathematical physics. Review of Advanced ODE’s including power ...

Physics-informed neural networks (PINNs) represent a burgeoning paradigm in computational science, whereby deep learning frameworks are augmented with explicit physical laws to solve both forward and ...

The honor, like a Nobel Prize for mathematics, was given this year to Luis Caffarelli for his work on partial differential equations. By Kenneth Chang As a mathematician, Luis A. Caffarelli of the ...

Researchers from The University of New Mexico and Los Alamos National Laboratory have developed a novel computational ...

The Royal Society awarded Imperial Professor Sir Martin Hairer, FRS, the Sylvester Medal for “outstanding contributions in ...