Introduction to the Fast Multipole Method: Topics in Computational Biophysics, Theory, and Implementation

The Fast Multipole Method is a theory and computer implementation that connects Laplaces equation, spherical harmonics, angular momentum, the Wigner matrix, the addition theorem for solid harmonics, and lattice sums for periodic boundary conditions. It is derived from first principles and systematically constructed, with a complete explanation of the math of the method.

Format: Paperback / softback
Length: 460 pages
Publication date: 13 June 2022
Publisher: Taylor & Francis Ltd

The Fast Multipole Method is a powerful tool for solving electromagnetic problems, particularly those involving complex structures. In this comprehensive guide, we will introduce you to the theory and computer implementation of the Fast Multipole Method. We will cover topics such as Laplaces equation, spherical harmonics, angular momentum, the Wigner matrix, the addition theorem for solid harmonics, and lattice sums for periodic boundary conditions.

Moreover, we will provide a complete, self-contained explanation of the math of the method, so that anyone having an undergraduate grasp of calculus should be able to follow the material presented. The authors of this guide derive the Fast Multipole Method from first principles and systematically construct the theory connecting all the parts.

Throughout the guide, we will focus on key features that make the Fast Multipole Method an invaluable tool for solving electromagnetic problems. We will introduce each topic from first principles and derive every equation presented, explaining each step in its derivation. We will build the necessary theory in order to understand, develop, and use the method.

Furthermore, we will describe the conversion from theory to computer implementation, guiding you through code optimization and parallelization techniques. By the end of this guide, you will have a solid understanding of the Fast Multipole Method and its applications in electromagnetic field analysis.

Whether you are a researcher, engineer, or student, the Fast Multipole Method is a tool that you cannot afford to ignore. So, let us embark on this journey together and explore the power of the Fast Multipole Method in solving complex electromagnetic problems.

Weight: 850g
Dimension: 254 x 178 (mm)
ISBN-13: 9781032337401