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 ...

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

Reproducing kernel Hilbert space method is utilized in this paper as an efficient approach to solve singular fourth order ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...