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New Tools in Mathematical Analysis and Applications

Proceedings of the 14th ISAAC Congress 2023, Ribeirão Preto, Brazil

Redigeret af Marcelo R. Ebert, Uwe Kähler, Irene Sabadini, Joachim Toft ...

Serier serie Springer Nature Proceedings excluding Computer Science
This volume contains the contributions of the participants of the 14th ISAAC congress, held at the University of São Paulo, Campus Ribeirão Preto, Brazil, on July 17-21, 2023. The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume constitutes a valuable resource on current research in mathematical analysis and its ... Læs mere

1.868,14 kr.

This volume contains the contributions of the participants of the 14th ISAAC congress, held at the University of São Paulo, Campus Ribeirão Preto, Brazil, on July 17-21, 2023. The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume constitutes a valuable resource on current research in mathematical analysis and its
... Læs mere
Nonlinear Vibrations and the Wave Equation

af Alain Haraux ...

Serier serie Mathematics and Statistics (R0)
This book gathers the revised lecture notes from a seminar course offered at the Federal University of Rio de Janeiro in 1986, then in Tokyo in 1987. An additional chapter has been added to reflect more recent advances in the field. ... Læs mere

466,97 kr.

This book gathers the revised lecture notes from a seminar course offered at the Federal University of Rio de Janeiro in 1986, then in Tokyo in 1987. An additional chapter has been added to reflect more recent advances in the field.
... Læs mere
From Particle Systems to Partial Differential Equations II

Particle Systems and PDEs II, Braga, Portugal, December 2013

Redigeret af Ana Jacinta Soares, Patrícia Gonçalves ...

Serier serie Springer Nature Proceedings excluding Computer Science
This book focuses on mathematical problems concerning different applications in physics, engineering, chemistry and biology. It covers topics ranging from interacting particle systems to partial differential equations (PDEs), statistical mechanics and dynamical systems.The purpose of the second meeting on Particle Systems and PDEs was to bring together renowned researchers working actively in the ... Læs mere

840,61 kr.

This book focuses on mathematical problems concerning different applications in physics, engineering, chemistry and biology. It covers topics ranging from interacting particle systems to partial differential equations (PDEs), statistical mechanics and dynamical systems.The purpose of the second meeting on Particle Systems and PDEs was to bring together renowned researchers working actively in the
... Læs mere
Nonlinear Maps and their Applications

Selected Contributions from the NOMA 2013 International Workshop

Redigeret af Yoshifumi Nishio, Ricardo López-Ruiz, Danièle Fournier-Prunaret, Clara Grácio ...

Serier serie Springer Nature Proceedings excluding Computer Science
In the field of Dynamical Systems, nonlinear iterative processes play an important role. Nonlinear mappings can be found as immediate models for many systems from different scientific areas, such as engineering, economics, biology, or can also be obtained via numerical methods permitting to solve non-linear differential equations. In both cases, the understanding of specific dynamical behaviors ... Læs mere

840,61 kr.

In the field of Dynamical Systems, nonlinear iterative processes play an important role. Nonlinear mappings can be found as immediate models for many systems from different scientific areas, such as engineering, economics, biology, or can also be obtained via numerical methods permitting to solve non-linear differential equations. In both cases, the understanding of specific dynamical behaviors
... Læs mere
Boundary Integral Equation Methods and Numerical Solutions

Thin Plates on an Elastic Foundation

af Dale Doty, William Hamill, Christian Constanda ...

Serier serie Mathematics and Statistics (R0)
This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an elastic foundation. The solutions of these problems are obtained both analytically—by means of direct and indirect boundary integral equation methods (BIEMs)—and numerically, through the application of a ... Læs mere

466,97 kr.

This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an elastic foundation. The solutions of these problems are obtained both analytically—by means of direct and indirect boundary integral equation methods (BIEMs)—and numerically, through the application of a
... Læs mere
Fuzzy Differential Equations in Various Approaches

af Luciana Takata Gomes, Laécio Carvalho de Barros, Barnabas Bede ...

Serier serie Mathematics and Statistics (R0)
This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems. Beginning with a historical overview and introduction to fundamental notions of fuzzy sets, including different possibilities of fuzzy differentiation and ... Læs mere

466,97 kr.

This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems. Beginning with a historical overview and introduction to fundamental notions of fuzzy sets, including different possibilities of fuzzy differentiation and
... Læs mere
Advanced Topics in Fractional Differential Equations

A Fixed Point Approach

af Mouffak Benchohra, Erdal Karapinar, Jamal Eddine Lazreg, Abdelkrim Salim ...

Serier serie eBColl Synthesis Collection 12
This book explores fractional differential equations with a fixed point approach. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations. All of the problems in the book also deal with some form of of the well-known Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. Classical ... Læs mere

373,55 kr.

This book explores fractional differential equations with a fixed point approach. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations. All of the problems in the book also deal with some form of of the well-known Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. Classical
... Læs mere
Turnpike Conditions in Infinite Dimensional Optimal Control

af Alexander J. Zaslavski ...

Serier serie Mathematics and Statistics (R0)
This book provides a comprehensive study of turnpike phenomenon arising in optimal control theory. The focus is on individual (non-generic) turnpike results which are both mathematically significant and have numerous applications in engineering and economic theory. All results obtained in the book are new. New approaches, techniques, and methods are rigorously presented and utilize research from ... Læs mere

793,91 kr.

This book provides a comprehensive study of turnpike phenomenon arising in optimal control theory. The focus is on individual (non-generic) turnpike results which are both mathematically significant and have numerous applications in engineering and economic theory. All results obtained in the book are new. New approaches, techniques, and methods are rigorously presented and utilize research from
... Læs mere
Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I

Dirichlet Boundary Conditions on Euclidean Space

af Jérôme Le Rousseau, Gilles Lebeau, Luc Robbiano ...

Serier serie Mathematics and Statistics (R0)
This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including the stabilization property of the damped wave equation and the null-controllability of the heat equation. All analysis is performed in the case of open sets in the Euclidean space; a second volume will extend this treatment to ... Læs mere

1.214,26 kr.

This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including the stabilization property of the damped wave equation and the null-controllability of the heat equation. All analysis is performed in the case of open sets in the Euclidean space; a second volume will extend this treatment to
... Læs mere
Deterministic, Stochastic, and Deep Learning Methods for Computational Electromagnetics

af Wei Cai ...

Serier serie Mathematics and Statistics (R0)
This book provides a well-balanced and comprehensive picture based on clear physics, solid mathematical formulation, and state-of-the-art useful numerical methods in deterministic, stochastic, deep neural network machine learning approaches for computer simulations of electromagnetic and transport processes in biology, microwave and optical wave devices, and nano-electronics. Computational ... Læs mere

1.494,50 kr.

This book provides a well-balanced and comprehensive picture based on clear physics, solid mathematical formulation, and state-of-the-art useful numerical methods in deterministic, stochastic, deep neural network machine learning approaches for computer simulations of electromagnetic and transport processes in biology, microwave and optical wave devices, and nano-electronics. Computational
... Læs mere
The Gradient Discretisation Method

af Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaèle Herbin ...

Serier serie Mathematics and Statistics (R0)
This monograph presents the Gradient Discretisation Method (GDM), which is a unified convergence analysis framework for numerical methods for elliptic and parabolic partial differential equations. The results obtained by the GDM cover both stationary and transient models; error estimates are provided for linear (and some non-linear) equations, and convergence is established for a wide range of ... Læs mere

560,38 kr.

This monograph presents the Gradient Discretisation Method (GDM), which is a unified convergence analysis framework for numerical methods for elliptic and parabolic partial differential equations. The results obtained by the GDM cover both stationary and transient models; error estimates are provided for linear (and some non-linear) equations, and convergence is established for a wide range of
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Brownian Dynamics at Boundaries and Interfaces

In Physics, Chemistry, and Biology

af Zeev Schuss ...

Serier serie Mathematics and Statistics (R0)
Brownian dynamics serve as mathematical models for the diffusive motion of microscopic particles of various shapes in gaseous, liquid, or solid environments. The renewed interest in Brownian dynamics is due primarily to their key role in molecular and cellular biophysics: diffusion of ions and molecules is the driver of all life. Brownian dynamics simulations are the numerical realizations of ... Læs mere

466,97 kr.

Brownian dynamics serve as mathematical models for the diffusive motion of microscopic particles of various shapes in gaseous, liquid, or solid environments. The renewed interest in Brownian dynamics is due primarily to their key role in molecular and cellular biophysics: diffusion of ions and molecules is the driver of all life. Brownian dynamics simulations are the numerical realizations of
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Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces

Topics from Differential Geometry and Geometric Analysis of Surfaces

af Steffen Fröhlich ...

Serier serie Mathematics and Statistics (R0)
This book is intended for advanced students and young researchers interested in the analysis of partial differential equations and differential geometry. It discusses elementary concepts of surface geometry in higher-dimensional Euclidean spaces, in particular the differential equations of Gauss-Weingarten together with various integrability conditions and corresponding surface curvatures. It ... Læs mere

308,17 kr.

This book is intended for advanced students and young researchers interested in the analysis of partial differential equations and differential geometry. It discusses elementary concepts of surface geometry in higher-dimensional Euclidean spaces, in particular the differential equations of Gauss-Weingarten together with various integrability conditions and corresponding surface curvatures. It
... Læs mere
Stochastic Partial Differential Equations with Additive Gaussian Noise

Analysis and Inference

af Ciprian A Tudor ...

The stochastic partial differential equations (SPDEs) arise in many applications of the probability theory. This monograph will focus on two particular (and probably the most known) equations: the stochastic heat equation and the stochastic wave equation.The focus is on the relationship between the solutions to the SPDEs and the fractional Brownian motion (and related processes). An important ... Læs mere

497,10 kr.

The stochastic partial differential equations (SPDEs) arise in many applications of the probability theory. This monograph will focus on two particular (and probably the most known) equations: the stochastic heat equation and the stochastic wave equation.The focus is on the relationship between the solutions to the SPDEs and the fractional Brownian motion (and related processes). An important
... Læs mere
Applied Nonautonomous and Random Dynamical Systems

Applied Dynamical Systems

af Tomás Caraballo, Xiaoying Han ...

Serier serie Mathematics and Statistics (R0)
This book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences. It starts by discussing the basic concepts from the theory of autonomous dynamical systems, which are easier to understand and can be used as the motivation for the non-autonomous and stochastic situations. The book subsequently ... Læs mere

513,67 kr.

This book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences. It starts by discussing the basic concepts from the theory of autonomous dynamical systems, which are easier to understand and can be used as the motivation for the non-autonomous and stochastic situations. The book subsequently
... Læs mere
Mathematical Challenges in a New Phase of Materials Science

Kyoto, Japan, August 2014

Redigeret af Yasumasa Nishiura, Motoko Kotani ...

Serier serie Springer Nature Proceedings excluding Computer Science
This volume comprises eight papers delivered at the RIMS International Conference "Mathematical Challenges in a New Phase of Materials Science", Kyoto, August 4–8, 2014. The contributions address subjects in defect dynamics, negatively curved carbon crystal, topological analysis of di-block copolymers, persistence modules, and fracture dynamics. These papers highlight the strong interaction ... Læs mere

840,61 kr.

This volume comprises eight papers delivered at the RIMS International Conference "Mathematical Challenges in a New Phase of Materials Science", Kyoto, August 4–8, 2014. The contributions address subjects in defect dynamics, negatively curved carbon crystal, topological analysis of di-block copolymers, persistence modules, and fracture dynamics. These papers highlight the strong interaction
... Læs mere
Boundary Stabilization of Parabolic Equations

af Ionuţ Munteanu ...

Serier serie Mathematics and Statistics (R0)
This monograph presents a technique, developed by the author, to design asymptotically exponentially stabilizing finite-dimensional boundary proportional-type feedback controllers for nonlinear parabolic-type equations. The potential control applications of this technique are wide ranging in many research areas, such as Newtonian fluid flows modeled by the Navier-Stokes equations; electrically ... Læs mere

840,61 kr.

This monograph presents a technique, developed by the author, to design asymptotically exponentially stabilizing finite-dimensional boundary proportional-type feedback controllers for nonlinear parabolic-type equations. The potential control applications of this technique are wide ranging in many research areas, such as Newtonian fluid flows modeled by the Navier-Stokes equations; electrically
... Læs mere
Integral Transforms in Computational Heat and Fluid Flow

af Renato Machado Cotta ...

Integral Transforms in Computational Heat and Fluid Flow is a comprehensive volume that emphasizes the generalized integral transform technique (G.I.T.T.) and the developments that have made the technique a powerful computational tool of practical interest. The book progressively demonstrates the approach through increasingly difficult extensions and test problems. It begins with an overview of ... Læs mere

2.959,76 kr.

Integral Transforms in Computational Heat and Fluid Flow is a comprehensive volume that emphasizes the generalized integral transform technique (G.I.T.T.) and the developments that have made the technique a powerful computational tool of practical interest. The book progressively demonstrates the approach through increasingly difficult extensions and test problems. It begins with an overview of
... Læs mere
Spectral Theory and its Applications

af Bernard Helffer ...

Serier Bog 139 - Cambridge Studies in Advanced Mathematics
Bernard Helffer's graduate-level introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schrödinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The later chapters also introduce non self-adjoint operator theory with an emphasis on the role of the pseudospectra. The author's ... Læs mere

689,52 kr.

Bernard Helffer's graduate-level introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schrödinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The later chapters also introduce non self-adjoint operator theory with an emphasis on the role of the pseudospectra. The author's
... Læs mere
Ordinary Differential Equations with Applications

af Sze-Bi Hsu, Kuo-Chang Chen ...

Serier Bog 23 - Series on Applied Mathematics
Written in a straightforward and easily accessible style, this volume is suitable as a textbook for advanced undergraduate or first-year graduate students in mathematics, physical sciences, and engineering. The aim is to provide students with a strong background in the theories of Ordinary Differential Equations, Dynamical Systems and Boundary Value Problems, including regular and singular ... Læs mere

216,48 kr.

Written in a straightforward and easily accessible style, this volume is suitable as a textbook for advanced undergraduate or first-year graduate students in mathematics, physical sciences, and engineering. The aim is to provide students with a strong background in the theories of Ordinary Differential Equations, Dynamical Systems and Boundary Value Problems, including regular and singular
... Læs mere
Advanced Mathematics for Applications

af Andrea Prosperetti ...

The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many ... Læs mere

705,56 kr.

The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many
... Læs mere
Probability

The Classical Limit Theorems

af Henry McKean ...

Probability theory has been extraordinarily successful at describing a variety of phenomena, from the behaviour of gases to the transmission of messages, and is, besides, a powerful tool with applications throughout mathematics. At its heart are a number of concepts familiar in one guise or another to many: Gauss' bell-shaped curve, the law of averages, and so on, concepts that crop up in so many ... Læs mere

561,24 kr.

Probability theory has been extraordinarily successful at describing a variety of phenomena, from the behaviour of gases to the transmission of messages, and is, besides, a powerful tool with applications throughout mathematics. At its heart are a number of concepts familiar in one guise or another to many: Gauss' bell-shaped curve, the law of averages, and so on, concepts that crop up in so many
... Læs mere
Applications of Differential-Algebraic Equations: Examples and Benchmarks

Redigeret af Stephen Campbell, Achim Ilchmann, Volker Mehrmann, Timo Reis ...

Serier serie Mathematics and Statistics (R0)
This volume encompasses prototypical, innovative and emerging examples and benchmarks of Differential-Algebraic Equations (DAEs) and their applications, such as electrical networks, chemical reactors, multibody systems, and multiphysics models, to name but a few. Each article begins with an exposition of modelling, explaining whether the model is prototypical and for which applications it is used. ... Læs mere

747,20 kr.

This volume encompasses prototypical, innovative and emerging examples and benchmarks of Differential-Algebraic Equations (DAEs) and their applications, such as electrical networks, chemical reactors, multibody systems, and multiphysics models, to name but a few. Each article begins with an exposition of modelling, explaining whether the model is prototypical and for which applications it is used.
... Læs mere
Singularly Perturbed Methods for Nonlinear Elliptic Problems

af Daomin Cao, Shuangjie Peng, Shusen Yan ...

Serier serie Cambridge Studies in Advanced Mathematics
This introduction to the singularly perturbed methods in the nonlinear elliptic partial differential equations emphasises the existence and local uniqueness of solutions exhibiting concentration property. The authors avoid using sophisticated estimates and explain the main techniques by thoroughly investigating two relatively simple but typical non-compact elliptic problems. Each chapter then ... Læs mere

697,54 kr.

This introduction to the singularly perturbed methods in the nonlinear elliptic partial differential equations emphasises the existence and local uniqueness of solutions exhibiting concentration property. The authors avoid using sophisticated estimates and explain the main techniques by thoroughly investigating two relatively simple but typical non-compact elliptic problems. Each chapter then
... Læs mere

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Differentialligninger e-bøger

New Tools in Mathematical Analysis and Applications

Nonlinear Vibrations and the Wave Equation

From Particle Systems to Partial Differential Equations II

Nonlinear Maps and their Applications

Boundary Integral Equation Methods and Numerical Solutions

Fuzzy Differential Equations in Various Approaches

Advanced Topics in Fractional Differential Equations

Turnpike Conditions in Infinite Dimensional Optimal Control

Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I

Deterministic, Stochastic, and Deep Learning Methods for Computational Electromagnetics

The Gradient Discretisation Method

Brownian Dynamics at Boundaries and Interfaces

Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces

Stochastic Partial Differential Equations with Additive Gaussian Noise

Applied Nonautonomous and Random Dynamical Systems

Mathematical Challenges in a New Phase of Materials Science

Boundary Stabilization of Parabolic Equations

Integral Transforms in Computational Heat and Fluid Flow

Spectral Theory and its Applications

Ordinary Differential Equations with Applications

Advanced Mathematics for Applications

Probability

Applications of Differential-Algebraic Equations: Examples and Benchmarks

Singularly Perturbed Methods for Nonlinear Elliptic Problems