Perturbed Functional Iterations: Matrix Free Large-Scale Nonlinear System Solvers in Applied Science with an Introduction to D-Mapping

Perturbed Functional Iterations (PFI) is a large-scale nonlinear system solver. Nature is abundant with events simulated mathematically by nonlinear systems of equations and inequalities. These we call nonlinear models. Often, they are ill conditioned, meaning small changes in data causing huge changes in the output. PFI, which was earlier called PIS (Perturbed Iterative Scheme) is a numerical method to solve nonlinear systems of equations in multidimensional space. Computational results demonstrate that this numerical method has some unique features which have made it more practical for applications in engineering and science. This book will guide readers with the proper use of PFI, both in theoretical and practical settings.

Features:

Ideal resource for postgraduates and professional researchers in science and engineering working in nonlinear systems.
Algorithmically simple enough for engineers and applied scientists to write their own software based on the contents.