Novel Methods for Solving Linear and Nonlinear Integral Equations, Ray

Автор: Strang
Название: Differential Equations and Linear Algebra
ISBN: 0980232791 ISBN-13(EAN): 9780980232790
Издательство: Cambridge Academ
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Цена: 60180.00 T
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Описание: Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.

Автор: Karl K. Sabelfeld, Irina A. Shalimova
Название: Spherical and Plane Integral Operators for PDEs: Construction, Analysis, and Applications
ISBN: 3110315297 ISBN-13(EAN): 9783110315295
Издательство: Walter de Gruyter
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Цена: 185890.00 T
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Описание: The book presents integral formulations for partial differential equations, with the focus on spherical and plane integral operators. The integral relations are obtained for different elliptic and parabolic equations, and both direct and inverse mean value relations are studied. The derived integral equations are used to construct new numerical methods for solving relevant boundary value problems, both deterministic and stochastic based on probabilistic interpretation of the spherical and plane integral operators.

Автор: Dajun Guo; V. Lakshmikantham; Xinzhi Liu
Название: Nonlinear Integral Equations in Abstract Spaces
ISBN: 0792341449 ISBN-13(EAN): 9780792341444
Издательство: Springer
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Цена: 102480.00 T
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Описание: Chapter 2, which is a main portion of this book, deals with nonlin- ear integral equations in Banach spaces, including equations of Fredholm type, of Volterra type and equations of Hammerstein type.

Автор: Donal O`Regan; Maria Meehan
Название: Existence Theory for Nonlinear Integral and Integrodifferential Equations
ISBN: 0792350898 ISBN-13(EAN): 9780792350897
Издательство: Springer
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Цена: 88500.00 T
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Описание: This text presents an account of many topics of interest in the theory of nonlinear ordinary differential equations. They include fixed point theory, periodic problems, lower and upper surfaces, positone and semi-positone problems, singular equations and limit circle problems.

Автор: Shingareva
Название: Solving Nonlinear Partial Differential Equations with Maple and Mathematica
ISBN: 3709105161 ISBN-13(EAN): 9783709105160
Издательство: Springer
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Цена: 102480.00 T
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Описание: starting from an analytical derivation of exact governing equations, constructing discretizations and analytical formulas of a numerical method, performing numerical procedure, obtaining various visualizations, and comparing the numerical solution obtained with other types of solutions considered in the book, e.g.

Автор: Cassel
Название: Variational Methods with Applications in Science and Engineering
ISBN: 1107022584 ISBN-13(EAN): 9781107022584
Издательство: Cambridge Academ
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Цена: 137280.00 T
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Описание: There is a resurgence of applications for the calculus of variations, such as in solid mechanics and dynamics, numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. This book reflects the connection between calculus of variations and the applications for which variational methods form the foundation.

Автор: Amat
Название: Advances in Iterative Methods for Nonlinear Equations
ISBN: 3319392271 ISBN-13(EAN): 9783319392271
Издательство: Springer
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Цена: 88500.00 T
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Описание: This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in Applied Mathematics and in Engineering can be solved by finding the solutions to these equations. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of the most efficient and robust iterative method for a given problem is crucial to guaranteeing a good approximation. A number of sample criteria for selecting the optimal method are presented, including those regarding the order of convergence, the computational cost, and the stability, including the dynamics. This book will appeal to researchers whose field of interest is related to nonlinear problems and equations, and their approximation.

Автор: Inna Shingareva; Carlos Liz?rraga-Celaya
Название: Solving Nonlinear Partial Differential Equations with Maple and Mathematica
ISBN: 3709117216 ISBN-13(EAN): 9783709117217
Издательство: Springer
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Цена: 102480.00 T
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Описание: This volume shows how to construct solutions of numerous nonlinear PDEs quickly and easily. The text discusses comparisons and relationships between the varying solutions, methods and approaches.

Автор: S?ren Bartels
Название: Numerical Methods for Nonlinear Partial Differential Equations
ISBN: 3319137964 ISBN-13(EAN): 9783319137964
Издательство: Springer
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Цена: 88500.00 T
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Описание: The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations.

Автор: Vieri Benci; Donato Fortunato
Название: Variational Methods in Nonlinear Field Equations
ISBN: 3319069136 ISBN-13(EAN): 9783319069135
Издательство: Springer
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Цена: 79190.00 T
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Описание: The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties.

Автор: Vieri Benci; Donato Fortunato
Название: Variational Methods in Nonlinear Field Equations
ISBN: 3319361228 ISBN-13(EAN): 9783319361222
Издательство: Springer
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Цена: 79190.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties.

Автор: S?ren Bartels
Название: Numerical Methods for Nonlinear Partial Differential Equations
ISBN: 3319356801 ISBN-13(EAN): 9783319356808
Издательство: Springer
Рейтинг:
Цена: 88500.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations.