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517.96 --- Finite differences. Functional and integral equations --- 517.96 Finite differences. Functional and integral equations

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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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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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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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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.