Harmonic and Applied Analysis

Harmonic and Applied Analysis

Author: Filippo De Mari

Publisher: Springer Nature

Published: 2021-12-13

Total Pages: 316

ISBN-13: 3030866645

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Deep connections exist between harmonic and applied analysis and the diverse yet connected topics of machine learning, data analysis, and imaging science. This volume explores these rapidly growing areas and features contributions presented at the second and third editions of the Summer Schools on Applied Harmonic Analysis, held at the University of Genova in 2017 and 2019. Each chapter offers an introduction to essential material and then demonstrates connections to more advanced research, with the aim of providing an accessible entrance for students and researchers. Topics covered include ill-posed problems; concentration inequalities; regularization and large-scale machine learning; unitarization of the radon transform on symmetric spaces; and proximal gradient methods for machine learning and imaging.


Electromagnetic Fields

Electromagnetic Fields

Author: Jean G. Van Bladel

Publisher: John Wiley & Sons

Published: 2007-05-23

Total Pages: 1171

ISBN-13: 0470124571

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Professor Jean Van Bladel, an eminent researcher and educator in fundamental electromagnetic theory and its application in electrical engineering, has updated and expanded his definitive text and reference on electromagnetic fields to twice its original content. This new edition incorporates the latest methods, theory, formulations, and applications that relate to today's technologies. With an emphasis on basic principles and a focus on electromagnetic formulation and analysis, Electromagnetic Fields, Second Edition includes detailed discussions of electrostatic fields, potential theory, propagation in waveguides and unbounded space, scattering by obstacles, penetration through apertures, and field behavior at high and low frequencies.


Cosmology

Cosmology

Author: Michael Rowan-Robinson

Publisher: Oxford University Press

Published: 2004

Total Pages: 204

ISBN-13: 9780198527473

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This is a revised and updated new edition of a classic introductory text on cosmology for undergraduates, also accessible to anyone with school science knowledge. New results from the WMAP mission are included as well as results from Hubble Key Project and High Redshift Supernovae teams.


Complex Geometry and Dynamics

Complex Geometry and Dynamics

Author: John Erik Fornæss

Publisher: Springer

Published: 2015-11-05

Total Pages: 316

ISBN-13: 3319203371

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This book focuses on complex geometry and covers highly active topics centered around geometric problems in several complex variables and complex dynamics, written by some of the world’s leading experts in their respective fields. This book features research and expository contributions from the 2013 Abel Symposium, held at the Norwegian University of Science and Technology Trondheim on July 2-5, 2013. The purpose of the symposium was to present the state of the art on the topics, and to discuss future research directions.


Modern Predictive Control

Modern Predictive Control

Author: Ding Baocang

Publisher: CRC Press

Published: 2018-10-03

Total Pages: 286

ISBN-13: 142008531X

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Modern Predictive Control explains how MPC differs from other control methods in its implementation of a control action. Most importantly, MPC provides the flexibility to act while optimizing—which is essential to the solution of many engineering problems in complex plants, where exact modeling is impossible. The superiority of MPC is in its numerical solution. Usually, MPC is employed to solve a finite-horizon optimal control problem at each sampling instant and obtain control actions for both the present time and a future period. However, only the current control move is applied to the plant. This complete, step-by-step exploration of various approaches to MPC: Introduces basic concepts of systems, modeling, and predictive control, detailing development from classical MPC to synthesis approaches Explores use of Model Algorithmic Control (MAC), Dynamic Matrix Control (DMC), Generalized Predictive Control (GPC), and Two-Step Model Predictive Control Identifies important general approaches to synthesis Discusses open-loop and closed-loop optimization in synthesis approaches Covers output feedback synthesis approaches with and without a finite switching horizon This book gives researchers a variety of models for use with one- and two-step control. The author clearly explains the variations between predictive control methods—and the root of these differences—to illustrate that there is no one ideal MPC and that one should remain open to selecting the best possible model in each unique circumstance.


Nuclear Reactor Physics

Nuclear Reactor Physics

Author: Weston M. Stacey

Publisher: John Wiley & Sons

Published: 2007-06-18

Total Pages: 737

ISBN-13: 3527406794

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Nuclear reactor physics is the core discipline of nuclear engineering. Nuclear reactors now account for a significant portion of the electrical power generated worldwide, and new power reactors with improved fuel cycles are being developed. At the same time, the past few decades have seen an ever-increasing number of industrial, medical, military, and research applications for nuclear reactors. The second edition of this successful comprehensive textbook and reference on basic and advanced nuclear reactor physics has been completely updated, revised and enlarged to include the latest developments.


Non-linear Elliptic Equations in Conformal Geometry

Non-linear Elliptic Equations in Conformal Geometry

Author: Sun-Yung A. Chang

Publisher: European Mathematical Society

Published: 2004

Total Pages: 106

ISBN-13: 9783037190067

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Non-linear elliptic partial differential equations are an important tool in the study of Riemannian metrics in differential geometry, in particular for problems concerning the conformal change of metrics in Riemannian geometry. In recent years the role played by the second order semi-linear elliptic equations in the study of Gaussian curvature and scalar curvature has been extended to a family of fully non-linear elliptic equations associated with other symmetric functions of the Ricci tensor. A case of particular interest is the second symmetric function of the Ricci tensor in dimension four closely related to the Pfaffian. In these lectures, starting from the background material, the author reviews the problem of prescribing Gaussian curvature on compact surfaces. She then develops the analytic tools (e.g., higher order conformal invariant operators, Sobolev inequalities, blow-up analysis) in order to solve a fully nonlinear equation in prescribing the Chern-Gauss-Bonnet integrand on compact manifolds of dimension four. The material is suitable for graduate students and research mathematicians interested in geometry, topology, and differential equations.