Автор: Bonito, Andrea Название: Geometric Partial Differential Equations - Part I,21 ISBN: 0444640037 ISBN-13(EAN): 9780444640031 Издательство: Elsevier Science Рейтинг: Цена: 179660.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering.
Автор: Wu Xinyuan, Wang Bin Название: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions ISBN: 9811601461 ISBN-13(EAN): 9789811601460 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 1 Oscillation-preserving integrators for highly oscillatory systems of second-order ODEs2 Continuous-stage ERKN integrators for second-order ODEs with highly oscillatory solutions3 Stability and convergence analysis of ERKN integrators for second-order ODEs with highly oscillatory solutions4 Functionally-fitted energy-preserving integrators for Poisson systems 5 Exponential collocation methods for conservative or dissipative systems 6 Volume-preserving exponential integrators 7 Global error bounds of one-stage explicit ERKN integrators for semilinear wave equations 8 Linearly-fitted conservative (dissipative) schemes for nonlinear wave equations9 Energy-preserving schemes for high-dimensional nonlinear KG equations 10 High-order symmetric Birkhoff-Hermite time integrators for semilinear KG equations 11 Symplectic approximations for efficiently solving semilinear KG equations12 Continuous-stage leap-frog schemes for semilinear Hamiltonian wave equations13 Semi-analytical ERKN integrators for solving high-dimensional nonlinear wave equations 14 Long-time momentum and actions behaviour of energy-preserving methods for wave equations
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: Ravi P Agarwal; Simona Hodis; Donal O`Regan Название: 500 Examples and Problems of Applied Differential Equations ISBN: 3030263835 ISBN-13(EAN): 9783030263836 Издательство: Springer Рейтинг: Цена: 42340.00 T Наличие на складе: Невозможна поставка. Описание: While many problems can be solved at the undergraduate level, a number of challenging real-life applications have also been included as a way to motivate further research in this vast and fascinating field.
Автор: Sandip Mazumder Название: Numerical Methods for Partial Differential Equations ISBN: 0128498943 ISBN-13(EAN): 9780128498941 Издательство: Elsevier Science Рейтинг: Цена: 114530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
"Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods" focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, depending on the type of equation, the number of independent variables, the boundary, and initial conditions, and other factors. These two methods have been traditionally used to solve problems involving fluid flow.
For practical reasons, the finite element method, used more often for solving problems in solid mechanics, and covered extensively in various other texts, has been excluded. The book is intended for beginning graduate students and early career professionals, although advanced undergraduate students may find it equally useful.
The material is meant to serve as a prerequisite for students who might go on to take additional courses in computational mechanics, computational fluid dynamics, or computational electromagnetics. The notations, language, and technical jargon used in the book can be easily understood by scientists and engineers who may not have had graduate-level applied mathematics or computer science courses. Presents one of the few available resources that comprehensively describes and demonstrates the finite volume method for unstructured mesh used frequently by practicing code developers in industryIncludes step-by-step algorithms and code snippets in each chapter that enables the reader to make the transition from equations on the page to working codesIncludes 51 worked out examples that comprehensively demonstrate important mathematical steps, algorithms, and coding practices required to numerically solve PDEs, as well as how to interpret the results from both physical and mathematic perspectives
Автор: Bartels Название: Numerical Approximation of Partial Differential Equations ISBN: 3319323539 ISBN-13(EAN): 9783319323534 Издательство: Springer Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Finite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensible tool in science and technology. This textbook aims at providing a thorough introduction to the construction, analysis, and implementation of finite element methods for model problems arising in continuum mechanics. The first part of the book discusses elementary properties of linear partial differential equations along with their basic numerical approximation, the functional-analytical framework for rigorously establishing existence of solutions, and the construction and analysis of basic finite element methods. The second part is devoted to the optimal adaptive approximation of singularities and the fast iterative solution of linear systems of equations arising from finite element discretizations. In the third part, the mathematical framework for analyzing and discretizing saddle-point problems is formulated, corresponding finte element methods are analyzed, and particular applications including incompressible elasticity, thin elastic objects, electromagnetism, and fluid mechanics are addressed. The book includes theoretical problems and practical projects for all chapters, and an introduction to the implementation of finite element methods.
Автор: Brenner Название: Topics in Numerical Partial Differential Equations and Scientific Computing ISBN: 1493963988 ISBN-13(EAN): 9781493963980 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Numerical partial differential equations (PDEs) are an important part of numerical simulation, the third component of the modern methodology for science and engineering, besides the traditional theory and experiment. This volume contains papers that originated with the collaborative research of the teams that participated in the IMA Workshop for Women in Applied Mathematics: Numerical Partial Differential Equations and Scientific Computing in August 2014.
Автор: Griffiths David F. Название: Essential Partial Differential Equations ISBN: 3319225685 ISBN-13(EAN): 9783319225685 Издательство: Springer Рейтинг: Цена: 32600.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Essential Partial Differential Equations
Автор: Mass Per Pettersson; Gianluca Iaccarino; Jan Nords Название: Polynomial Chaos Methods for Hyperbolic Partial Differential Equations ISBN: 3319107135 ISBN-13(EAN): 9783319107134 Издательство: Springer Рейтинг: Цена: 104480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Polynomial Chaos Methods for Hyperbolic Partial Differential Equations
Автор: Sagun Chanillo; Bruno Franchi; Guozhen Lu; Carlos Название: Harmonic Analysis, Partial Differential Equations and Applications ISBN: 331952741X ISBN-13(EAN): 9783319527413 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This collection of articles and surveys is devoted to Harmonic Analysis, related Partial Differential Equations and Applications and in particular to the fields of research to which Richard L.
Автор: Victor Isakov Название: Inverse Problems for Partial Differential Equations ISBN: 3319516574 ISBN-13(EAN): 9783319516578 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: By presenting the data in a readable and informative manner, the book introduces both scientific and engineering researchers as well as graduate students to the significant work done in this area in recent years, relating it to broader themes in mathematical analysis.
Автор: Zhongqiang Zhang; George Em Karniadakis Название: Numerical Methods for Stochastic Partial Differential Equations with White Noise ISBN: 3319575104 ISBN-13(EAN): 9783319575100 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book covers numerical methods for stochastic partial differential equations with white noise using the framework of Wong-Zakai approximation. In addition, stochastic Euler equations are exploited as an application of stochastic collocation methods, where a numerical comparison with other integration methods in random space is made.
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