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 ...

Finite element methods (FEM) constitute a foundational numerical approach for solving partial differential equations by discretising complex domains into smaller, manageable subdomains known as ...

This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by ...

Computational fluid dynamics (CFD) is a branch of physics that utilizes numerical methods and algorithms to analyze and predict the behavior of fluids and gases under various conditions. This field ...

Over the past 40 years, Allen Taflove has reshaped the way physicists and electrical engineers solve problems in classical electrodynamics. Taflove, professor of electrical engineering and computer ...