Mohammad Asadzadeh - Böcker

Master the finite element method with this masterful and practical volumeAn Introduction to the Finite Element Method (FEM) for Differential Equations provides readers with a practical and approachable examination of the use of the finite element method in mathematics. Author Mohammad Asadzadeh covers basic FEM theory, both in one-dimensional and higher dimensional cases.The book is filled with concrete strategies and useful methods to simplify its complex mathematical contents. Practically written and carefully detailed, An Introduction to the Finite Element Method covers topics including: An introduction to basic ordinary and partial differential equationsThe concept of fundamental solutions using Green's function approachesPolynomial approximations and interpolations, quadrature rules, and iterative numerical methods to solve linear systems of equationsHigher-dimensional interpolation proceduresStability and convergence analysis of FEM for differential equationsThis book is ideal for upper-level undergraduate and graduate students in natural science and engineering. It belongs on the shelf of anyone seeking to improve their understanding of differential equations.

This book is a comprehensive collection of the main mathematical concepts, including definitions, theorems, tables, and formulas, that students of science and engineering will encounter in their studies and later careers. Handbook of Mathematical Concepts and Formulas introduces the latest mathematics in an easily accessible format. It familiarizes readers with key mathematical and logical reasoning, providing clear routes to approach questions and problems. Concepts covered include whole calculus, linear and abstract algebra, as well as analysis, applied math, mathematical statistics, and numerical analysis. The appendices address Mathematica and MATLAB programming, which contain simple programs for educational purposes, alongside more rigorous programs designed to solve problems of more real application.

This proceedings volume gathers selected contributions presented at two instances of the "JSPS/SAC Seminar: On Gas Kinetic/Dynamics and Life Science", held by the Chalmers University of Technology and University of Gothenburg, Sweden, on March 25-26, 2021 (virtual) and March 17-18, 2022 (virtual).Works in this book provide a concise approach to the theoretical and numerical analysis of kinetic type equations that arise, for example, in modeling industrial, medical, and environmental problems. Readers will find some of the most recent theoretical results, newly developed numerical methods in the field, and some open problems. Possible application areas encompass fission/fusion energy, electromagnetics, nuclear science and engineering, medical service, radiation oncology, and plants growth conditions, to name a few. The JSPS/SAC seminars are jointly organized by JSPS (Japan Society for the Promotion of Science)—Stockholm Office and the Department of Mathematical Sciences, Chalmers University of Technology & University of Gothenburg, Sweden. These seminars foster discussions on the mathematical theory, industrial and life science applications, and numerical analysis of non-linear hyperbolic partial differential equations modeling collision-less plasma and charged particles.Chapter 4 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.Chapter 11 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.