Scalarization and Separation by Translation Invariant Functions: With Applications in Optimization, Nonlinear Functional Analysis, and Mathematical Ec, Tammer Christiane, Weidner Petra
Описание: Non-Sinusoidal Orthogonal Functions in Systems and Control.- Hybrid Function (HF) and Its Properties.- Function Approximation via Hybrid Functions.- Integration and Differentiation Using HF Domain Operational Matrices.- One-Shot Operational Matrices for Integration.- Solution of Linear Differential Equations.- Convolution of Time Functions.- Time Invariant System Analysis: State Space Approach.- Time Varying System Analysis: State Space Approach.- Multi-Delay System Analysis: State Space Approach.- Time Invariant System Analysis: Method of Convolution.- System Identification using State Space Approach: Time Invariant Systems.- System Identification using State Space Approach: Time Varying Systems.- Time Invariant System Identification: via 'Deconvolution'.- System Identification: Parameter Estimation of Transfer Function.
Автор: Gabriele Eichfelder Название: Adaptive Scalarization Methods in Multiobjective Optimization ISBN: 3642098045 ISBN-13(EAN): 9783642098048 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents adaptive solution methods for multiobjective optimization problems based on parameter dependent scalarization approaches. Readers will benefit from the new adaptive methods and ideas for solving multiobjective optimization.
Описание: Non-Sinusoidal Orthogonal Functions in Systems and Control.- Hybrid Function (HF) and Its Properties.- Function Approximation via Hybrid Functions.- Integration and Differentiation Using HF Domain Operational Matrices.- One-Shot Operational Matrices for Integration.- Solution of Linear Differential Equations.- Convolution of Time Functions.- Time Invariant System Analysis: State Space Approach.- Time Varying System Analysis: State Space Approach.- Multi-Delay System Analysis: State Space Approach.- Time Invariant System Analysis: Method of Convolution.- System Identification using State Space Approach: Time Invariant Systems.- System Identification using State Space Approach: Time Varying Systems.- Time Invariant System Identification: via 'Deconvolution'.- System Identification: Parameter Estimation of Transfer Function.
Описание: Focuses on both continuous and discontinuous one-dimensional piecewise-linear maps and summarizes the results related to bifurcation structures in regular and robust chaotic domains.
Автор: Radu Zaharopol Название: Invariant Probabilities of Transition Functions ISBN: 3319057227 ISBN-13(EAN): 9783319057224 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book.
Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.
Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.
Автор: Yang, Lei (peking Univ, China) Название: Hessian polyhedra, invariant theory and appell hypergeometric functions ISBN: 981320947X ISBN-13(EAN): 9789813209473 Издательство: World Scientific Publishing Рейтинг: Цена: 21384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Our book gives the complex counterpart of Klein's classic book on the icosahedron. We show that the following four apparently disjoint theories: the symmetries of the Hessian polyhedra (geometry), the resolution of some system of algebraic equations (algebra), the system of partial differential equations of Appell hypergeometric functions (analysis) and the modular equation of Picard modular functions (arithmetic) are in fact dominated by the structure of a single object, the Hessian group ����′216. It provides another beautiful example on the fundamental unity of mathematics.
Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics is the first book to provide a systematic construction of exact solutions via linear invariant subspaces for nonlinear differential operators. Acting as a guide to nonlinear evolution equations and models from physics and mechanics, the book focuses on the existence of new exact solutions on linear invariant subspaces for nonlinear operators and their crucial new properties.
This practical reference deals with various partial differential equations (PDEs) and models that exhibit some common nonlinear invariant features. It begins with classical as well as more recent examples of solutions on invariant subspaces. In the remainder of the book, the authors develop several techniques for constructing exact solutions of various nonlinear PDEs, including reaction-diffusion and gas dynamics models, thin-film and Kuramoto-Sivashinsky equations, nonlinear dispersion (compacton) equations, KdV-type and Harry Dym models, quasilinear magma equations, and Green-Naghdi equations. Using exact solutions, they describe the evolution properties of blow-up or extinction phenomena, finite interface propagation, and the oscillatory, changing sign behavior of weak solutions near interfaces for nonlinear PDEs of various types and orders. The techniques surveyed in Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics serve as a preliminary introduction to the general theory of nonlinear evolution PDEs of different orders and types.
Описание: This book provides some recent advance in the study of stochastic nonlinear Schr?dinger equations and their numerical approximations, including the well-posedness, ergodicity, symplecticity and multi-symplecticity. It gives an accessible overview of the existence and uniqueness of invariant measures for stochastic differential equations, introduces geometric structures including symplecticity and (conformal) multi-symplecticity for nonlinear Schr?dinger equations and their numerical approximations, and studies the properties and convergence errors of numerical methods for stochastic nonlinear Schr?dinger equations.
This book will appeal to researchers who are interested in numerical analysis, stochastic analysis, ergodic theory, partial differential equation theory, etc.
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