Iterative methods form the backbone of numerical strategies for locating solutions of nonlinear equations, where direct analytic solutions are often unavailable. At their essence, these algorithms ...

This book serves as a bridge between graduate textbooks and research articles in the area of nonlinear elliptic partial differential equations. Whereas graduate textbooks present basic concepts, the ...

Two new approaches allow deep neural networks to solve entire families of partial differential equations, making it easier to model complicated systems and to do so orders of magnitude faster. In high ...