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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
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
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
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
... Læs mere
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
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
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
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
A Problem-Solving Approach to Ordinary Differential Equations

Volume II

af Farzin Asadi ...

Serier serie Engineering (R0)
Mastering ordinary differential equations (ODE) is crucial for success in numerous fields of science and engineering, as these powerful mathematical tools are indispensable for modeling and understanding the world around us. From the motion of celestial bodies to the flow of electric currents, ODEs provide the language to describe dynamic systems.To truly grasp the concepts and techniques of ... Læs mere

840,61 kr.

Mastering ordinary differential equations (ODE) is crucial for success in numerous fields of science and engineering, as these powerful mathematical tools are indispensable for modeling and understanding the world around us. From the motion of celestial bodies to the flow of electric currents, ODEs provide the language to describe dynamic systems.To truly grasp the concepts and techniques of
... Læs mere
Hamiltonian Partial Differential Equations and Applications

Redigeret af Philippe Guyenne, David Nicholls, Catherine Sulem ...

Serier Bog 75 - Fields Institute Communications
This book is a unique selection of work by world-class experts exploring the latest developments in Hamiltonian partial differential equations and their applications. Topics covered within are representative of the field’s wide scope, including KAM and normal form theories, perturbation and variational methods, integrable systems, stability of nonlinear solutions as well as applications to ... Læs mere

466,97 kr.

This book is a unique selection of work by world-class experts exploring the latest developments in Hamiltonian partial differential equations and their applications. Topics covered within are representative of the field’s wide scope, including KAM and normal form theories, perturbation and variational methods, integrable systems, stability of nonlinear solutions as well as applications to
... Læs mere
Conversations About Challenges in Computing

af Kathrine Aspaas, Dana Mackenzie ...

Serier serie Mathematics and Statistics (R0)
This text sheds light on how mathematical models and computing can help understanding and prediction of complicated physical processes; how communication networks should be designed and implemented to meet the increasingly challenging requirements from users; and how modern engineering principles can lead to better and more robust software systems.Through interviews with 12 internationally ... Læs mere

280,14 kr.

This text sheds light on how mathematical models and computing can help understanding and prediction of complicated physical processes; how communication networks should be designed and implemented to meet the increasingly challenging requirements from users; and how modern engineering principles can lead to better and more robust software systems.Through interviews with 12 internationally
... Læs mere
New Challenges for Cancer Systems Biomedicine

Redigeret af Alberto D'Onofrio, Alberto Gandolfi, Paola Cerrai ...

Serier serie Mathematics and Statistics (R0)
The future of oncology seems to lie in Molecular Medicine (MM). MM is a new science based on three pillars. Two of them are evident in its very name and are well known: medical science and molecular biology. However, there is a general unawareness that MM is firmly based on a third, and equally important, pillar: Systems Biomedicine. Currently, this term denotes multilevel, hierarchical models ... Læs mere

840,61 kr.

The future of oncology seems to lie in Molecular Medicine (MM). MM is a new science based on three pillars. Two of them are evident in its very name and are well known: medical science and molecular biology. However, there is a general unawareness that MM is firmly based on a third, and equally important, pillar: Systems Biomedicine. Currently, this term denotes multilevel, hierarchical models
... Læs mere
Progress on Difference Equations and Discrete Dynamical Systems

25th ICDEA, London, UK, June 24–28, 2019

Redigeret af Steve Baigent, Martin Bohner, Saber Elaydi ...

Serier serie Springer Nature Proceedings excluding Computer Science
This book comprises selected papers of the 25th International Conference on Difference Equations and Applications, ICDEA 2019, held at UCL, London, UK, in June 2019. The volume details the latest research on difference equations and discrete dynamical systems, and their application to areas such as biology, economics, and the social sciences. Some chapters have a tutorial style and cover the ... Læs mere

1.494,50 kr.

This book comprises selected papers of the 25th International Conference on Difference Equations and Applications, ICDEA 2019, held at UCL, London, UK, in June 2019. The volume details the latest research on difference equations and discrete dynamical systems, and their application to areas such as biology, economics, and the social sciences. Some chapters have a tutorial style and cover the
... Læs mere
Trends in Differential Equations and Applications

Redigeret af Francisco Ortegón Gallego, María Victoria Redondo Neble, José Rafael Rodríguez Galván ...

Serier serie Mathematics and Statistics (R0)
This work collects the most important results presented at the Congress on Differential Equations and Applications/Congress on Applied Mathematics (CEDYA/CMA) in Cádiz (Spain) in 2015. It supports further research in differential equations, numerical analysis, mechanics, control and optimization. In particular, it helps readers gain an overview of specific problems of interest in the current ... Læs mere

840,61 kr.

This work collects the most important results presented at the Congress on Differential Equations and Applications/Congress on Applied Mathematics (CEDYA/CMA) in Cádiz (Spain) in 2015. It supports further research in differential equations, numerical analysis, mechanics, control and optimization. In particular, it helps readers gain an overview of specific problems of interest in the current
... Læs mere
Qualitative Theory in Structural Mechanics

Qualitative Properties and Existence of Solutions

af Dajun Wang, Qishen Wang, Beichang (Bert) He ...

This book focuses on the qualitative theory in structural mechanics, an area that remains underdeveloped. The qualitative theory mainly deals with the static deformation and vibrational modes of linear elastic structures, and cover subjects such as qualitative properties and the existence of solutions.Qualitative properties belong to one type of structure, are at the system level and of clear ... Læs mere

1.401,08 kr.

This book focuses on the qualitative theory in structural mechanics, an area that remains underdeveloped. The qualitative theory mainly deals with the static deformation and vibrational modes of linear elastic structures, and cover subjects such as qualitative properties and the existence of solutions.Qualitative properties belong to one type of structure, are at the system level and of clear
... 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

Boundary Integral Equation Methods and Numerical Solutions

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

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

Mathematical Challenges in a New Phase of Materials Science

Boundary Stabilization of Parabolic Equations

Spectral Theory and its Applications

Ordinary Differential Equations with Applications

Advanced Mathematics for Applications

Probability

Singularly Perturbed Methods for Nonlinear Elliptic Problems

A Problem-Solving Approach to Ordinary Differential Equations

Hamiltonian Partial Differential Equations and Applications

Conversations About Challenges in Computing

New Challenges for Cancer Systems Biomedicine

Progress on Difference Equations and Discrete Dynamical Systems

Trends in Differential Equations and Applications

Qualitative Theory in Structural Mechanics