Analytical and Computational Methods in Scattering and Applied Mathematics

Analytical and Computational Methods in Scattering and Applied Mathematics
Author: Fadil Santosa
Publisher: CRC Press
Total Pages: 312
Release: 2019-05-07
Genre: Mathematics
ISBN: 9781420035971

Professor Ralph Kleinman was director of the Center for the Mathematics of Waves and held the UNIDEL Professorship of the University of Delaware. Before his death in 1998, he made major scientific contributions in the areas of electromagnetic scattering, wave propagation, and inverse problems. He was instrumental in bringing together the mathematic

Analytical and Computational Methods in Scattering and Applied Mathematics

Analytical and Computational Methods in Scattering and Applied Mathematics
Author: Fadil Santosa
Publisher: CRC Press
Total Pages: 288
Release: 2019-05-07
Genre: Mathematics
ISBN: 1420035975

Professor Ralph Kleinman was director of the Center for the Mathematics of Waves and held the UNIDEL Professorship of the University of Delaware. Before his death in 1998, he made major scientific contributions in the areas of electromagnetic scattering, wave propagation, and inverse problems. He was instrumental in bringing together the mathematic

Light Scattering By Particles: Computational Methods

Light Scattering By Particles: Computational Methods
Author: Peter W Barber
Publisher: World Scientific
Total Pages: 273
Release: 1990-07-09
Genre: Technology & Engineering
ISBN: 9814507431

This book presents the separation-of-variables and T-matrix methods of calculating the scattering of electromagnetic waves by particles. Analytical details and computer programs are provided for determining the scattering and absorption characteristics of the finite-thickness slab, infinite circular cylinder (normal incidence), general axisymmetric particle, and sphere.The computer programs are designed to generate data that is easy to graph and visualize, and test cases in the book illustrate the capabilities of the programs. The connection between the theory and the computer programs is reinforced by references in the computer programs to equations in the text. This cross-referencing will help the reader understand the computer programs, and, if necessary, modify them for other purposes.

Analytical and Computational Methods in Scattering and Applied Mathematics

Analytical and Computational Methods in Scattering and Applied Mathematics
Author: Fadil Santosa
Publisher: Chapman and Hall/CRC
Total Pages: 288
Release: 2000-03-15
Genre: Mathematics
ISBN: 9781584881599

Professor Ralph Kleinman was director of the Center for the Mathematics of Waves and held the UNIDEL Professorship of the University of Delaware. Before his death in 1998, he made major scientific contributions in the areas of electromagnetic scattering, wave propagation, and inverse problems. He was instrumental in bringing together the mathematical and engineering communities working in these fields, and actively collaborated with a number of colleagues from both communities. It was in Professor Kleinman's memory that leading researchers in the fields of wave propagation, scattering, and applied mathematics gathered for an international conference at the University of Delaware in November 1998. This Research Note comprises papers on these topics presented at the conference along with other contributions by Ralph's colleagues. The papers consist of authoritative overviews by experts in their fields and new results from leading researchers. With many of the contributions multidisciplinary in nature and presentation of recent advances, Analytical and Computational Methods in Scattering and Applied Mathematics will prove of interest to engineers working in electromagnetics and wave propagation and to applied mathematicians working in partial differential equations and inverse problems

Computational Methods for Inverse Problems

Computational Methods for Inverse Problems
Author: Curtis R. Vogel
Publisher: SIAM
Total Pages: 195
Release: 2002-01-01
Genre: Mathematics
ISBN: 0898717574

Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.

Computational Mathematics and Variational Analysis

Computational Mathematics and Variational Analysis
Author: Nicholas J. Daras
Publisher: Springer Nature
Total Pages: 564
Release: 2020-06-06
Genre: Mathematics
ISBN: 3030446255

This volume presents a broad discussion of computational methods and theories on various classical and modern research problems from pure and applied mathematics. Readers conducting research in mathematics, engineering, physics, and economics will benefit from the diversity of topics covered. Contributions from an international community treat the following subjects: calculus of variations, optimization theory, operations research, game theory, differential equations, functional analysis, operator theory, approximation theory, numerical analysis, asymptotic analysis, and engineering. Specific topics include algorithms for difference of monotone operators, variational inequalities in semi-inner product spaces, function variation principles and normed minimizers, equilibria of parametrized N-player nonlinear games, multi-symplectic numerical schemes for differential equations, time-delay multi-agent systems, computational methods in non-linear design of experiments, unsupervised stochastic learning, asymptotic statistical results, global-local transformation, scattering relations of elastic waves, generalized Ostrowski and trapezoid type rules, numerical approximation, Szász Durrmeyer operators and approximation, integral inequalities, behaviour of the solutions of functional equations, functional inequalities in complex Banach spaces, functional contractions in metric spaces.

Handbook of Analytic Computational Methods in Applied Mathematics

Handbook of Analytic Computational Methods in Applied Mathematics
Author: George Anastassiou
Publisher: CRC Press
Total Pages: 682
Release: 2019-06-03
Genre: Mathematics
ISBN: 0429525117

Working computationally in applied mathematics is the very essence of dealing with real-world problems in science and engineering. Approximation theory-on the borderline between pure and applied mathematics- has always supplied some of the most innovative ideas, computational methods, and original approaches to many types of problems. The f

Analytical and Numerical Methods for Wave Propagation in Fluid Media

Analytical and Numerical Methods for Wave Propagation in Fluid Media
Author: K. Murawski
Publisher: World Scientific
Total Pages: 260
Release: 2002
Genre: Science
ISBN: 9789812776631

This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance.Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.

Computational Methods for Electromagnetic Phenomena

Computational Methods for Electromagnetic Phenomena
Author: Wei Cai
Publisher: Cambridge University Press
Total Pages: 463
Release: 2013-01-03
Genre: Mathematics
ISBN: 1107021057

The first book of its kind to cover a wide range of computational methods for electromagnetic phenomena, from atomistic to continuum scales, this integrated and balanced treatment of mathematical formulations, algorithms and the underlying physics enables us to engage in innovative and advanced interdisciplinary computational research.

Applied Mathematical Analysis: Theory, Methods, and Applications

Applied Mathematical Analysis: Theory, Methods, and Applications
Author: Hemen Dutta
Publisher: Springer
Total Pages: 809
Release: 2019-02-21
Genre: Technology & Engineering
ISBN: 3319999184

This book addresses key aspects of recent developments in applied mathematical analysis and its use. It also highlights a broad range of applications from science, engineering, technology and social perspectives. Each chapter investigates selected research problems and presents a balanced mix of theory, methods and applications for the chosen topics. Special emphasis is placed on presenting basic developments in applied mathematical analysis, and on highlighting the latest advances in this research area. The book is presented in a self-contained manner as far as possible, and includes sufficient references to allow the interested reader to pursue further research in this still-developing field. The primary audience for this book includes graduate students, researchers and educators; however, it will also be useful for general readers with an interest in recent developments in applied mathematical analysis and applications.