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Applied Non-Linear Dynamical Systems

Redigeret af Jan Awrejcewicz ...

Serier serie Springer Nature Proceedings excluding Computer Science
The book is a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the International Conference on Dynamical Systems: Theory and Applications, held in Łódź, Poland on December 2-5, 2013. The studies give deep insight into both the theory and applications of non-linear dynamical systems, emphasizing directions for future ... Læs mere

1.307,67 kr.

The book is a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the International Conference on Dynamical Systems: Theory and Applications, held in Łódź, Poland on December 2-5, 2013. The studies give deep insight into both the theory and applications of non-linear dynamical systems, emphasizing directions for future
... Læs mere
Computational Methods In The Fractional Calculus Of Variations

af Ricardo Almeida, Shakoor Pooseh, Delfim F M Torres ...

This book fills a gap in the literature by introducing numerical techniques to solve problems of fractional calculus of variations (FCV). In most cases, finding the analytic solution to such problems is extremely difficult or even impossible, and numerical methods need to be used.The authors are well-known researchers in the area of FCV and the book contains some of their recent results, serving ... Læs mere

248,55 kr.

This book fills a gap in the literature by introducing numerical techniques to solve problems of fractional calculus of variations (FCV). In most cases, finding the analytic solution to such problems is extremely difficult or even impossible, and numerical methods need to be used.The authors are well-known researchers in the area of FCV and the book contains some of their recent results, serving
... Læs mere
Handbook of Functional Equations

Stability Theory

Redigeret af Themistocles M. Rassias ...

Serier serie Mathematics and Statistics (R0)
This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, who present important research works in the field of mathematical analysis and related subjects, particularly in the Ulam stability theory of functional equations. The book provides an insight into a large domain of research with emphasis to the discussion of several theories, ... Læs mere

466,97 kr.

This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, who present important research works in the field of mathematical analysis and related subjects, particularly in the Ulam stability theory of functional equations. The book provides an insight into a large domain of research with emphasis to the discussion of several theories,
... Læs mere
Singular Integral Operators, Quantitative Flatness, and Boundary Problems

af Juan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea ...

Serier serie Mathematics and Statistics (R0)
This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces. Many significant new results are explored in detail, with complete proofs, emphasizing and elaborating on the link between the geometric measure-theoretic features of ... Læs mere

934,02 kr.

This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces. Many significant new results are explored in detail, with complete proofs, emphasizing and elaborating on the link between the geometric measure-theoretic features of
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Finite Element Methods for Incompressible Flow Problems

af Volker John ...

Serier serie Mathematics and Statistics (R0)
This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs are ... Læs mere

2.045,72 kr.

This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs are
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Navier-Stokes Flow Around a Rotating Obstacle

Mathematical Analysis of its Asymptotic Behavior

af Sarka Necasova, Stanislav Kracmar ...

Serier serie Mathematics and Statistics (R0)
The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of problems arising from the motion of viscous incompressible fluids around rotating obstacles. It offers a new approach to this type of problems. We derive the fundamental solution of the steady case and we give pointwise estimates of velocity and its gradient (first and second one) ... Læs mere

513,67 kr.

The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of problems arising from the motion of viscous incompressible fluids around rotating obstacles. It offers a new approach to this type of problems. We derive the fundamental solution of the steady case and we give pointwise estimates of velocity and its gradient (first and second one)
... Læs mere
Mathematical Analysis of the Navier-Stokes Equations

Cetraro, Italy 2017

af Matthias Hieber, James C. Robinson, Yoshihiro Shibata ...

Serier serie Mathematics and Statistics (R0)
This book collects together a unique set of articles dedicated to several fundamental aspects of the Navier–Stokes equations. As is well known, understanding the mathematical properties of these equations, along with their physical interpretation, constitutes one of the most challenging questions of applied mathematics. Indeed, the Navier-Stokes equations feature among the Clay Mathematics ... Læs mere

607,08 kr.

This book collects together a unique set of articles dedicated to several fundamental aspects of the Navier–Stokes equations. As is well known, understanding the mathematical properties of these equations, along with their physical interpretation, constitutes one of the most challenging questions of applied mathematics. Indeed, the Navier-Stokes equations feature among the Clay Mathematics
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A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs

af Matthias Albert Augustin ...

Serier serie Lecture Notes in Geosystems Mathematics and Computing
This monograph focuses on the numerical methods needed in the context of developing a reliable simulation tool to promote the use of renewable energy. One very promising source of energy is the heat stored in the Earth’s crust, which is harnessed by so-called geothermal facilities. Scientists from fields like geology, geo-engineering, geophysics and especially geomathematics are called upon to ... Læs mere

466,97 kr.

This monograph focuses on the numerical methods needed in the context of developing a reliable simulation tool to promote the use of renewable energy. One very promising source of energy is the heat stored in the Earth’s crust, which is harnessed by so-called geothermal facilities. Scientists from fields like geology, geo-engineering, geophysics and especially geomathematics are called upon to
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Well-Posed Nonlinear Problems

A Study of Mathematical Models of Contact

af Mircea Sofonea ...

Serier serie Mathematics and Statistics (R0)
This monograph presents an original method to unify the mathematical theories of well-posed problems and contact mechanics. The author uses a new concept called the Tykhonov triple to develop a well-posedness theory in which every convergence result can be interpreted as a well-posedness result. This will be useful for studying a wide class of nonlinear problems, including fixed-point problems, ... Læs mere

1.214,26 kr.

This monograph presents an original method to unify the mathematical theories of well-posed problems and contact mechanics. The author uses a new concept called the Tykhonov triple to develop a well-posedness theory in which every convergence result can be interpreted as a well-posedness result. This will be useful for studying a wide class of nonlinear problems, including fixed-point problems,
... Læs mere
Walter Gautschi, Volume 2

Selected Works with Commentaries

Redigeret af Claude Brezinski, Ahmed Sameh ...

Serier serie Mathematics and Statistics (R0)
Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the ... Læs mere

1.307,67 kr.

Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the
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Fractional S(P)DEs

Theory, Numerics, and Optimal Control

af Wilfried Grecksch, Hannelore Lisei ...

Recent breakthroughs in volatility modelling have brought fractional stochastic calculus to a groundbreaking position. Readers of Fractional S(P)DEs will find a unique and comprehensive overview encompassing the theory and the numerics of both ordinary and partial differential equations (SDEs and SPDEs, respectively), driven by fractional Brownian motion.Within this book, both differential ... Læs mere

689,52 kr.

Recent breakthroughs in volatility modelling have brought fractional stochastic calculus to a groundbreaking position. Readers of Fractional S(P)DEs will find a unique and comprehensive overview encompassing the theory and the numerics of both ordinary and partial differential equations (SDEs and SPDEs, respectively), driven by fractional Brownian motion.Within this book, both differential
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Multi-Layer Potentials and Boundary Problems

for Higher-Order Elliptic Systems in Lipschitz Domains

af Irina Mitrea, Marius Mitrea ...

Serier serie Mathematics and Statistics (R0)
Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety of tools are available for dealing with such problems, including boundary integral methods, variational methods, harmonic measure techniques, and methods ... Læs mere

466,97 kr.

Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety of tools are available for dealing with such problems, including boundary integral methods, variational methods, harmonic measure techniques, and methods
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Variational Methods in Nonlinear Field Equations

Solitary Waves, Hylomorphic Solitons and Vortices

af Vieri Benci, Donato Fortunato ...

Serier serie Mathematics and Statistics (R0)
The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theory for hylomorphic solitons, namely for those solitons which minimize the energy for a given charge. In ... Læs mere

466,97 kr.

The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theory for hylomorphic solitons, namely for those solitons which minimize the energy for a given charge. In
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Nonlinear Partial Differential Equations

The Abel Symposium 2010

Redigeret af Kenneth H. Karlsen, Helge Holden ...

Serier serie Springer Nature Proceedings excluding Computer Science
The topic of the 2010 Abel Symposium, hosted at the Norwegian Academy of Science and Letters, Oslo, was Nonlinear Partial Differential Equations, the study of which is of fundamental importance in mathematics and in almost all of natural sciences, economics, and engineering.This area of mathematics is currently in the midst of an unprecedented development worldwide. Differential equations are used ... Læs mere

1.307,67 kr.

The topic of the 2010 Abel Symposium, hosted at the Norwegian Academy of Science and Letters, Oslo, was Nonlinear Partial Differential Equations, the study of which is of fundamental importance in mathematics and in almost all of natural sciences, economics, and engineering.This area of mathematics is currently in the midst of an unprecedented development worldwide. Differential equations are used
... Læs mere
Constant Mean Curvature Surfaces with Boundary

af Rafael López ...

Serier serie Mathematics and Statistics (R0)
The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media or for capillary phenomena. Further, as most techniques used in the theory of CMC surfaces not only involve geometric methods ... Læs mere

840,61 kr.

The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media or for capillary phenomena. Further, as most techniques used in the theory of CMC surfaces not only involve geometric methods
... Læs mere
The Duffing Equation

Periodic Solutions and Chaotic Dynamics

af Lakshmi Burra, Fabio Zanolin ...

Serier serie Mathematics and Statistics (R0)
This book discusses the generalized Duffing equation and its periodic perturbations, with special emphasis on the existence and multiplicity of periodic solutions, subharmonic solutions and different approaches to prove rigorously the presence of chaotic dynamics. Topics in the book are presented at an expository level without entering too much into technical detail. It targets to researchers in ... Læs mere

1.494,50 kr.

This book discusses the generalized Duffing equation and its periodic perturbations, with special emphasis on the existence and multiplicity of periodic solutions, subharmonic solutions and different approaches to prove rigorously the presence of chaotic dynamics. Topics in the book are presented at an expository level without entering too much into technical detail. It targets to researchers in
... Læs mere
Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering

af G. Hariharan ...

Serier serie Mathematics and Statistics (R0)
The book focuses on how to implement discrete wavelet transform methods in order to solve problems of reaction–diffusion equations and fractional-order differential equations that arise when modelling real physical phenomena. It explores the analytical and numerical approximate solutions obtained by wavelet methods for both classical and fractional-order differential equations; provides ... Læs mere

466,97 kr.

The book focuses on how to implement discrete wavelet transform methods in order to solve problems of reaction–diffusion equations and fractional-order differential equations that arise when modelling real physical phenomena. It explores the analytical and numerical approximate solutions obtained by wavelet methods for both classical and fractional-order differential equations; provides
... Læs mere
A First Course in Partial Differential Equations

af J Robert Buchanan, Zhoude Shao ...

This second edition to A First Course in Partial Differential Equations provides a clear, rigorous, and student-friendly introduction to the core theory and solution techniques for partial differential equations (PDEs), making it an ideal text for upper-level undergraduates in mathematics, physics, engineering, and the applied sciences.This volume builds on the strengths of the first edition by ... Læs mere

561,24 kr.

This second edition to A First Course in Partial Differential Equations provides a clear, rigorous, and student-friendly introduction to the core theory and solution techniques for partial differential equations (PDEs), making it an ideal text for upper-level undergraduates in mathematics, physics, engineering, and the applied sciences.This volume builds on the strengths of the first edition by
... Læs mere
Dynamics of Partial Differential Equations

af C. Eugene Wayne, Michael I. Weinstein ...

Serier serie Mathematics and Statistics (R0)
This book contains two review articles on the dynamics of partial differential equations that deal with closely related topics but can be read independently.Wayne reviews recent results on the global dynamics of the two-dimensional Navier-Stokes equations. This system exhibits stable vortex solutions: the topic of Wayne's contribution is how solutions that start from arbitrary initial conditions ... Læs mere

373,55 kr.

This book contains two review articles on the dynamics of partial differential equations that deal with closely related topics but can be read independently.Wayne reviews recent results on the global dynamics of the two-dimensional Navier-Stokes equations. This system exhibits stable vortex solutions: the topic of Wayne's contribution is how solutions that start from arbitrary initial conditions
... Læs mere
Analytical Solutions for Transport Processes

Fluid Mechanics, Heat and Mass Transfer

af Günter Brenn ...

Serier serie Engineering (R0)
This book provides analytical solutions to a number of classical problems in transport processes, i.e. in fluid mechanics, heat and mass transfer. Expanding computing power and more efficient numerical methods have increased the importance of computational tools. However, the interpretation of these results is often difficult and the computational results need to be tested against the analytical ... Læs mere

840,61 kr.

This book provides analytical solutions to a number of classical problems in transport processes, i.e. in fluid mechanics, heat and mass transfer. Expanding computing power and more efficient numerical methods have increased the importance of computational tools. However, the interpretation of these results is often difficult and the computational results need to be tested against the analytical
... Læs mere
Numerical Treatment and Analysis of Time-Fractional Evolution Equations

af Bangti Jin, Zhi Zhou ...

Serier serie Mathematics and Statistics (R0)
This book discusses numerical methods for solving time-fractional evolution equations. The approach is based on first discretizing in the spatial variables by the Galerkin finite element method, using piecewise linear trial functions, and then applying suitable time stepping schemes, of the type either convolution quadrature or finite difference. The main concern is on stability and error analysis ... Læs mere

1.307,67 kr.

This book discusses numerical methods for solving time-fractional evolution equations. The approach is based on first discretizing in the spatial variables by the Galerkin finite element method, using piecewise linear trial functions, and then applying suitable time stepping schemes, of the type either convolution quadrature or finite difference. The main concern is on stability and error analysis
... Læs mere
Symmetries and Applications of Differential Equations

In Memory of Nail H. Ibragimov (1939–2018)

Redigeret af Albert C. J. Luo, Rafail K. Gazizov ...

Serier serie Mathematics and Statistics (R0)
This book is about Lie group analysis of differential equations for physical and engineering problems. The topics include:-- Approximate symmetry in nonlinear physical problems-- Complex methods for Lie symmetry analysis-- Lie group classiﬁcation, Symmetry analysis, and conservation laws-- Conservative difference schemes-- Hamiltonian structure and conservation laws of three-dimensional linear ... Læs mere

1.120,85 kr.

This book is about Lie group analysis of differential equations for physical and engineering problems. The topics include:-- Approximate symmetry in nonlinear physical problems-- Complex methods for Lie symmetry analysis-- Lie group classiﬁcation, Symmetry analysis, and conservation laws-- Conservative difference schemes-- Hamiltonian structure and conservation laws of three-dimensional linear
... Læs mere
Domain Decomposition Methods in Science and Engineering XXIV

Redigeret af Petter E. Bjørstad, Susanne C. Brenner, Lawrence Halpern, Hyea Hyun Kim, Ralf Kornhuber, Talal Rahman, Olof B. Widlund ...

Serier serie Springer Nature Proceedings excluding Computer Science
These are the proceedings of the 24th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in Svalbard, Norway in February 2017.Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These ... Læs mere

1.307,67 kr.

These are the proceedings of the 24th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in Svalbard, Norway in February 2017.Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These
... Læs mere
Analysis and PDE in Latin America

ICMAM 2023–2024

Redigeret af Duván Cardona Sanchez, Brian Grajales ...

Serier serie Springer Nature Proceedings excluding Computer Science
This book is the third in a series of books dedicated to publishing extended abstracts of the activities of ICMAM Latin America (International Community of Mathematicians from Latin America). This book includes selected contributions of speakers at the ICMAM Latin America Satellite Conference on Analysis and PDE 2023. This book is a comprehensive collection of the latest advancements in the fields ... Læs mere

1.868,14 kr.

This book is the third in a series of books dedicated to publishing extended abstracts of the activities of ICMAM Latin America (International Community of Mathematicians from Latin America). This book includes selected contributions of speakers at the ICMAM Latin America Satellite Conference on Analysis and PDE 2023. This book is a comprehensive collection of the latest advancements in the fields
... Læs mere

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Differentialligninger e-bøger

Applied Non-Linear Dynamical Systems

Computational Methods In The Fractional Calculus Of Variations

Handbook of Functional Equations

Singular Integral Operators, Quantitative Flatness, and Boundary Problems

Finite Element Methods for Incompressible Flow Problems

Navier-Stokes Flow Around a Rotating Obstacle

Mathematical Analysis of the Navier-Stokes Equations

A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs

Well-Posed Nonlinear Problems

Walter Gautschi, Volume 2

Fractional S(P)DEs

Multi-Layer Potentials and Boundary Problems

Variational Methods in Nonlinear Field Equations

Nonlinear Partial Differential Equations

Constant Mean Curvature Surfaces with Boundary

The Duffing Equation

Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering

A First Course in Partial Differential Equations

Dynamics of Partial Differential Equations

Analytical Solutions for Transport Processes

Numerical Treatment and Analysis of Time-Fractional Evolution Equations

Symmetries and Applications of Differential Equations

Domain Decomposition Methods in Science and Engineering XXIV

Analysis and PDE in Latin America