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Nonlinear theories --- Nonlinear wave equations --- Quantum field theory --- Stochastic processes --- Congresses.

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Nonlinear theories --- Spectrum analysis --- Turbulence --- Waves --- Théories non linéaires --- Analyse spectrale --- Ondes --- Spectra --- Théories non linéaires --- Nonlinear theories. --- Kolmogorov, andrej nikolaevic (1903-1987) --- Spectroscopy --- Wave equations --- Wave-motion, theory of

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This volume provides academic discussion on the theory and practice of mathematical analysis of nonlinear and inverse problems in electromagnetics and their applications. From mathematical problem statement to numerical results, the featured articles provide a concise overview of comprehensive approaches to the solution of problems. Articles highlight the most recent research concerning reliable theoretical approaches and numerical techniques and cover a wide range of applications, including acoustics, electromagnetics, optics, medical imaging, and geophysics. The nonlinear and ill-posed nature of inverse problems and the challenges they present when developing new numerical methods are explained, and numerical verification of proposed new methods on simulated and experimental data is provided. Based on the special session of the same name at the 2017 Progress in Electromagnetics Research Symposium, this book offers a platform for interaction between theoretical and practical researchers and between senior and incoming members in the field.

Mathematics. --- Applied mathematics. --- Engineering mathematics. --- Applications of Mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Math --- Science --- Mathematics --- Electromagnetism --- Nonlinear wave equations --- Inverse problems (Differential equations) --- Numerical solutions --- Differential equations --- Wave equation --- Electromagnetics --- Magnetic induction --- Magnetism --- Metamaterials

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530.1 --- Basic principles of physics --- 530.1 Basic principles of physics --- Convex domains. --- Lattice gas. --- Statistical mechanics. --- Statistical thermodynamics. --- Wave equations, Invariant. --- Convex domains --- Lattice gas --- Statistical mechanics --- Statistical thermodynamics --- 536 --- 536 Heat. Thermodynamics --- Heat. Thermodynamics --- Mechanics --- Mechanics, Analytic --- Quantum statistics --- Statistical physics --- Thermodynamics --- Gas, Lattice --- Crystal lattices --- Convex regions --- Convexity --- Calculus of variations --- Convex geometry --- Point set theory --- Quantum theory --- Wave equations, Invariant --- Équations d'onde --- Invariants --- Équations d'onde

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Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modem as weIlas the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in AppliedMathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and rein­ force the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and en­ courage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the AppliedMathematical Sei­ ences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface This book is designed to serve as a textbook for graduate students or advanced undergraduates studying numerical methods for the solution of partial differen­ tial equations goveming wave-like flows. Although the majority of the schemes presented in this text were introduced ineither the applied-rnathematics or atmos­ pheric-science literature, the focus is not on the nuts-and-bolts details of various atmospheric models but on fundamental numerical methods that have applications in a wide range of scientific and engineering disciplines.

Fluid dynamics --- Geophysics --- Wave equation --- Numerical analysis --- Differential equations, Partial --- Methodology --- Numerical solutions --- Numerical analysis. --- Wave equation. --- Numerical solutions. --- Methodology. --- Engineering & Applied Sciences --- Applied Mathematics --- Geophysics. --- Numerical Analysis. --- Geophysics/Geodesy. --- Geological physics --- Terrestrial physics --- Earth sciences --- Physics --- Mathematical analysis --- Fluid dynamics - Methodology --- Geophysics - Methodology --- Differential equations, Partial - Numerical solutions --- DIFFERENTIAL EQUATIONS, PARTIAL --- FLUID DYNAMICS --- GEOPHYSICS --- NUMERICAL ANALYSIS --- WAVE EQUATIONS --- NUMERICAL SOLUTIONS --- METHODOLOGY