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Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course.
Inequalities (Mathematics) --- Differential equations. --- Integral equations.
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Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course.
Inequalities (Mathematics) --- Differential equations. --- Integral equations. --- 517.91 Differential equations --- Differential equations --- Equations, Integral --- Processes, Infinite --- Functional equations --- Functional analysis
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The book presents an in-depth study of arbitrary one-dimensional continuous strong Markov processes using methods of stochastic calculus. Departing from the classical approaches, a unified investigation of regular as well as arbitrary non-regular diffusions is provided. A general construction method for such processes, based on a generalization of the concept of a perfect additive functional, is developed. The intrinsic decomposition of a continuous strong Markov semimartingale is discovered. The book also investigates relations to stochastic differential equations and fundamental examples of irregular diffusions.
Markov processes --- Stochastic integral equations --- Markoff processes --- Markov [Processus de ] --- Markov models --- Markov processen --- Markov-processen --- Processus de Markov --- Probabilities. --- Statistics . --- Probability Theory and Stochastic Processes. --- Statistical Theory and Methods. --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Markov processes. --- Stochastic integral equations. --- Integral equations --- Stochastic analysis --- Analysis, Markov --- Chains, Markov --- Markov analysis --- Markov chains --- Models, Markov --- Processes, Markov --- Stochastic processes
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Population biology --- Biologie des populations --- Mathematical models. --- Modèles mathématiques --- 517.9 --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Modèles mathématiques --- Mathematical models
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Algebraic geometry --- Wavelets (Mathematics) --- Ondelettes. --- Operator theory. --- Opérateurs, Théorie des. --- Functional analysis. --- Analyse fonctionnelle. --- Functional analysis --- Operator theory --- Wavelet analysis --- Harmonic analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations
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Differential equations --- Equations différentielles --- Periodicals --- Périodiques --- Differential equations. --- Equations, Differential --- 517.91 Differential equations --- mathematics --- differential equations --- qualitative theory --- dynamical systems --- integral equations --- Bessel functions --- Calculus --- Differential Equations. --- Mathematics
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Integral equations --- Handbooks, manuals, etc. --- 517.95 --- Partial differential equations --- 517.95 Partial differential equations --- Equations, Integral --- Functional equations --- Functional analysis --- Handbooks, manuals, etc --- Monograph --- Equations integrales --- Formulaire de mathematiques
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This book is about the explicit elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and our understanding of model hierarchies. The author presents his new direct method, homogenization in time, based on energy principles and weak convergence techniques. How to use this method is shown in several general cases taken from classical and quantum mechanics. The results are applied to special problems from plasma physics, molecular dynamics and quantum chemistry. Background material from functional analysis is provided and explained to make this book accessible for a general audience of graduate students and researchers.
Differential geometry. Global analysis --- Differentiable dynamical systems --- Homogenization (Differential equations) --- Mathematical Theory --- Geometry --- Mathematics --- Physical Sciences & Mathematics --- Differentieerbare dynamicasystemen --- Homogeneisation (Equations differentielles) --- Homogenizatie (Differentiaalvergelijkingen) --- Systèmes dynamiques différentiables --- Mathematical analysis. --- Analysis (Mathematics). --- Integral equations. --- Dynamics. --- Ergodic theory. --- Statistical physics. --- Dynamical systems. --- Numerical analysis. --- Chemometrics. --- Analysis. --- Integral Equations. --- Dynamical Systems and Ergodic Theory. --- Complex Systems. --- Numerical Analysis. --- Math. Applications in Chemistry. --- Chemistry, Analytic --- Analytical chemistry --- Chemistry --- Mathematical analysis --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Mathematical statistics --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Equations, Integral --- Functional equations --- Functional analysis --- 517.1 Mathematical analysis --- Measurement --- Statistical methods
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Employed in a large number of commercial electromagnetic simulation packages, the finite element method is one of the most popular and well-established numerical techniques in engineering. This book covers the theory, development, implementation, and application of the finite element method and its hybrid versions to electromagnetics. FINITE ELEMENT METHOD FOR ELECTROMAGNETICS begins with a step-by-step textbook presentation of the finite method and its variations then goes on to provide up-to-date coverage of three dimensional formulations and modern applications to open and closed domain problems. Worked out examples are included to aid the reader with the fine features of the method and the implementation of its hybridization with other techniques for a robust simulation of large scale radiation and scattering. The crucial treatment of local boundary conditions is carefully worked out in several stages in the book. Sponsored by: IEEE Antennas and Propagation Society.
Finite element method. --- Electromagnetism. --- Engineering mathematics. --- Electromagnetic fields --- Finite element method --- Antennas (Electronics) --- Microwave circuits --- Electrons --- Electrical & Computer Engineering --- Engineering & Applied Sciences --- Electrical Engineering --- Mathematical models --- Scattering --- Microwave circuits. --- Champs électromagnétiques --- Méthode des éléments finis --- Antennes (Electronique) --- Circuits pour micro-ondes --- Mathematical models. --- Scattering. --- Modèles mathématiques --- Antennas (Electronics). --- 517.96 --- 517.96 Finite differences. Functional and integral equations --- Finite differences. Functional and integral equations --- Circuits, Microwave --- Electronic circuits --- Microwave devices --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Electron-positron scattering --- Electron scattering --- Scattering (Physics) --- Electronic apparatus and appliances --- Electromagnetic fields - Mathematical models. --- Electrons - Scattering.
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