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 ...

In this paper, two new families of eighth-order iterative methods for solving nonlinear equations are presented. These methods are developed by combining a class of optimal two-point methods and a ...

My research projects in the area of nonlinear systems deal with finding dc operating points, steady state, and transient responses of electronic circuits. These are essential tasks in electrical ...

Artificial intelligence (AI) is increasingly transforming computational mechanics, yet many AI-driven models remain limited by poor interpretability, weak generalization, and insufficient physical ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...