Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations, Tsung-Ming Huang, Ren-Cang Li, Wen-Wei Lin
Автор: Wu Название: Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations ISBN: 9811090033 ISBN-13(EAN): 9789811090035 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Functionally fitted continuous finite element methods for oscillatory Hamiltonian system.- Exponential average-vector-field integrator for conservative or dissipative systems.- Exponential Fourier collocation methods for first-order differential Equations.- Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems.- High-order symplectic and symmetric composition integrators for multi-frequency oscillatory Hamiltonian systems.- The construction of arbitrary order ERKN integrators via group theory.- Trigonometric collocation methods for multi-frequency and multidimensional oscillatory systems.- A compact tri-colored tree theory for general ERKN methods.- An integral formula adapted to different boundary conditions for arbitrarily high-dimensional nonlinear Klein-Gordon equations.- An energy-preserving and symmetric scheme for nonlinear Hamiltonian wave equations.- Arbitrarily high-order time-stepping schemes for nonlinear Klein-Gordon equations.- An essential extension of the finite-energy condition for ERKN integrators solving nonlinear wave equations.- Index
Автор: Wu Xinyuan Название: Structure-Preserving Algorithms for Oscillatory Differential ISBN: 3642353371 ISBN-13(EAN): 9783642353376 Издательство: Springer Рейтинг: Цена: 130610.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Structure-Preserving Algorithms for Oscillatory Differential Equations describes a large number of highly effective and efficient structure-preserving algorithms for second-order oscillatory differential equations by using theoretical analysis and numerical validation.
Автор: Peter Betsch Название: Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics ISBN: 3319318772 ISBN-13(EAN): 9783319318776 Издательство: Springer Рейтинг: Цена: 139310.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book focuses on structure-preserving numerical methodsfor flexible multibody dynamics, including nonlinear elastodynamics andgeometrically exact models for beams and shells.
Автор: Renato de Leone; Almerico Murli; Panos M. Pardalos Название: High Performance Algorithms and Software in Nonlinear Optimization ISBN: 0792354834 ISBN-13(EAN): 9780792354833 Издательство: Springer Рейтинг: Цена: 176970.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Contains a selection of papers presented at the conference on High Performance Software for Nonlinear Optimization (HPSNO97) which was held in Ischia, Italy, in June, 1997. This book provides an overview of the nonlinear optimization field, including algorithms, software evaluation, implementation issues, applications, and areas of research.
Автор: Dachun Yang; Dongyong Yang; Guoen Hu Название: The Hardy Space H1 with Non-doubling Measures and Their Applications ISBN: 3319008242 ISBN-13(EAN): 9783319008240 Издательство: Springer Рейтинг: Цена: 83850.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Preliminaries.- Approximations of the Identity.- The Hardy Space H1(μ).- The Local Atomic Hardy Space h1(μ).- Boundedness of Operators over (RD, μ).- Littlewood-Paley Operators and Maximal Operators Related to Approximations of the Identity.- The Hardy Space H1 (χ, υ)and Its Dual Space RBMO (χ, υ).- Boundedness of Operators over((χ, υ).- Bibliography.- Index.- Abstract.
Автор: Xinyuan Wu; Xiong You; Bin Wang Название: Structure-Preserving Algorithms for Oscillatory Differential Equations ISBN: 364244556X ISBN-13(EAN): 9783642445569 Издательство: Springer Рейтинг: Цена: 113180.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book describes effective and efficient structure-preserving algorithms for second-order oscillatory differential equations by using theoretical analysis and numerical validation. Includes advances in ARKN, ERKN, Falkner-type and energy-preserving methods.
Автор: Hairer, E. Название: Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations ISBN: 3540306633 ISBN-13(EAN): 9783540306634 Издательство: Springer Рейтинг: Цена: 149060.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory.
Автор: Michele Benzi; Dario Bini; Daniel Kressner; Hans M Название: Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications ISBN: 331949886X ISBN-13(EAN): 9783319498867 Издательство: Springer Рейтинг: Цена: 69870.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Focusing on special matrices and matrices which are in some sense `near` to structured matrices, this volume covers a broad range of topics of current interest in numerical linear algebra.
Автор: Dret, Herve Le Название: Nonlinear elliptic partial differential equations ISBN: 3319783890 ISBN-13(EAN): 9783319783895 Издательство: Springer Рейтинг: Цена: 60550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations.After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations. Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.
Автор: Tatsien Li; Yi Zhou Название: Nonlinear Wave Equations ISBN: 3662557231 ISBN-13(EAN): 9783662557235 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer powers of nonlinear terms. Further, the book proposes the global iteration method, which offers a unified and straightforward approach for treating these kinds of problems.
Purely based on the properties of solutions to the corresponding linear problems, the method simply applies the contraction mapping principle.
Автор: Emilio Spedicato Название: Computer Algorithms for Solving Linear Algebraic Equations ISBN: 3642767192 ISBN-13(EAN): 9783642767197 Издательство: Springer Рейтинг: Цена: 97820.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Proceedings of the NATO Advanced Study Institute on Computer Algorithms for Solving Linear Equations: The State of the Art, held at Il Ciocco, Barga, Italy, September 9-21, 1990
Автор: Oleg P. Iliev; Svetozar D. Margenov; Peter D Minev Название: Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications ISBN: 1461471710 ISBN-13(EAN): 9781461471714 Издательство: Springer Рейтинг: Цена: 139750.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: One of the current main challenges in the area of scientific computing is the design and implementation of accurate numerical models for complex physical systems which are described by time-dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational mathematics and its applications, with a focus on modern algorithms which are at the heart of accurate modeling: adaptive finite element methods, conservative finite difference methods and finite volume methods, and multilevel solution techniques. Fundamental theoretical results are revisited in survey articles, and new techniques in numerical analysis are introduced. Applications showcasing the efficiency, reliability, and robustness of the algorithms in porous media, structural mechanics, and electromagnetism are presented. Researchers and graduate students in numerical analysis and numerical solutions of PDEs and their scientific computing applications will find this book useful.--
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