Weighted Polynomial Approximation and Numerical Methods for Integral Equations, Junghanns
Автор: Joachim Gwinner , Ernst Peter Stephan Название: Advanced Boundary Element Methods ISBN: 3319920006 ISBN-13(EAN): 9783319920009 Издательство: Springer Рейтинг: Цена: 10976.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems.
It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods - efficient computational tools that have become extremely popular in applications. Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research. The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.
Описание: Pseudodifferential Operators Over the Real Field.- Wavelets Over the Real Field.- p-adic Mathematical Analysis.- Pseudodifferential Operators Over p-adic Fields.- Wavelets on p-adic Fields.
Автор: Seppo Mikkola Название: Gravitational Few-Body Dynamics: A Numerical Approach ISBN: 1108491294 ISBN-13(EAN): 9781108491297 Издательство: Cambridge Academ Рейтинг: Цена: 21226.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this introduction to the few-body problem, a key figure in developing more efficient methods over the past few decades summarizes and explains them, covering both basic analytical formulations and numerical methods. Mikkola explains this methodology for graduate students and researchers in astronomy, celestial mechanics, and stellar dynamics.
Автор: Wolfgang Hackbusch Название: Integral Equations ISBN: 3034899475 ISBN-13(EAN): 9783034899475 Издательство: Springer Рейтинг: Цена: 12196.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis.
Автор: Hackbusch Wolfgang Название: Integral Equations / Theory and Numerical Treatment ISBN: 3764328711 ISBN-13(EAN): 9783764328719 Издательство: Springer Рейтинг: Цена: 12196.00 р. Наличие на складе: Нет в наличии.
Описание: Volterra and Fredholm integral equations form the domain of this book. Special chapters are devoted to Abel's integral equations and the singular integral equation with the Cauchy kernel; others focus on the integral equation method and the boundary element method (BEM). While a small section affords some theoretical grounding in integral equations (covering existence, regularity, etc.), the larger part of the book is devoted to a description and analysis of the discretisation methods (Galerkin / collocation / NystrГ¶m). Also the multigrid method for the solution of discrete equations is analysed. The most prominent application of integral equations occurs in the use of the boundary element method, which here is discussed from the numerical point of view in particular. New results about numerical integration and the panel clustering technique are included. Many chapters have an introductory character, while special subsections give more advanced information. Intended readers are students of mathematics as well as postgraduates.
Автор: Ryzhov Название: Modern Methods in Mathematical Physics ISBN: 981194914X ISBN-13(EAN): 9789811949142 Издательство: Springer Рейтинг: Цена: 6097.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides ideas for implementing Wolfram Mathematica to solve linear integral equations. The book introduces necessary theoretical information about exact and numerical methods of solving integral equations. Every method is supplied with a large number of detailed solutions in Wolfram Mathematica. In addition, the book includes tasks for individual study. This book is a supplement for students studying “Integral Equations”. In addition, the structure of the book with individual assignments allows to use it as a base for various courses.
Описание: This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering.
Автор: Joachim Gwinner; Ernst Peter Stephan Название: Advanced Boundary Element Methods ISBN: 3030063461 ISBN-13(EAN): 9783030063467 Издательство: Springer Рейтинг: Цена: 10976.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems. It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods – efficient computational tools that have become extremely popular in applications.Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research.The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.
This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this book are based on talks given at the Fifteenth International Conference on Integral Methods in Science and Engineering, held July 16-20, 2018 at the University of Brighton, UK, and are written by internationally recognized researchers. The topics addressed are wide ranging, and include:
This collection will be of interest to researchers in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential tool.
Автор: Christian Constanda; Bardo E.J. Bodmann; Haroldo F Название: Integral Methods in Science and Engineering ISBN: 1461478278 ISBN-13(EAN): 9781461478270 Издательство: Springer Рейтинг: Цена: 12196.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book deals with the numerical solution of integral equations based on approximation of functions and the authors apply wavelet approximation to the unknown function of integral equations. The book`s goal is to categorize the selected methods and assess their accuracy and efficiency.
Автор: Christian Constanda; Bardo E.J. Bodmann; Haroldo F Название: Integral Methods in Science and Engineering ISBN: 1489996184 ISBN-13(EAN): 9781489996183 Издательство: Springer Рейтинг: Цена: 11586.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
1 Multiphase Flow Splitting in Looped Pipelines.- 2 Green's Function Decomposition Method for Transport Equation.- 3 Integral Neutron Transport and New Computational Methods: A Review.- 4 Scale Invariance and Some Limits in Transport Phenomenology: Existence of a Spontaneous Scale.- 5 On Coherent Structures from a Diffusion-Type Model.- 6 Numerical Simulation of the Dynamics of Molecular Markers Involved in Cell Polarization.- 7 Analytical Study of Computational Radiative Fluxes in a Heterogeneous Medium.- 8 A Novel Approach to the Hankel Transform Inversion of the Neutron Diffusion Problem Using the Parseval Identity.- 9 What Is Convergence Acceleration Anyway?.- 10 On the Fractal Pattern Phenomenology of Geological Fracture Signatures from a Scaling Law.- 11 Spectral Boundary Homogenization Problems in Perforated Domains with Robin Boundary Conditions and Large Parameters.- 12 A Finite Element Formulation of the Total Variation Method for Denoising a Set of Data.- 13 On the Convergence of the Multi-Group Isotropic Neutron LTSN Nodal Solution in Cartesian Geometry.- 14 Numerical Integration with Singularity by Taylor Series.- 15 Numerical Solutions of the 1D Convection-Diffusion-Reaction and the Burgers Equation Using Implicit Multi-Stage and Finite Element Methods.- 16 Analytical Reconstruction of Monoenergetic Neutron Angular Flux in Non-multiplying Slabs Using Diffusion Synthetic Approximation.- 17 On the Fractional Neutron Point Kinetics Equations.- 18 On a Closed Form Solution of the Point Kinetics Equations With a Modified Temperature Feedback.- 19 Eulerian Modeling of Radionuclides in Surficial Waters: The Case of Ilha Grande Bay (RJ, Brazil).- 20 Fractional Calculus: Application in Modeling and Control.- 21 Modified Integral Equation Method for Stationary Plate Oscillations.- 22 Nonstandard Integral Equations for the Harmonic Oscillations of Thin Plates.- 23 A Genuine Analytical Solution for the SN Multi-Group Neutron Equation in Planar Geometry.- 24 Single-Phase Flow Instabilities: Effect of Pressure Waves in a Pump-Pipe-Plenum-Choke System.- 25 Two-Phase Flow Instabilities in Oil Wells: ESP Oscillatory Behavior and Casing-Heading.- 26 Validating a Closed Form Advection-Diffusion Solution by Experiments: Tritium Dispersion after Emission from the Brazilian Angra Dos Reis Nuclear Power Plant.- Index.
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