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Asymptotic Chaos Expansions in Finance

Theory and Practice

af David Nicolay ...

Serier serie Mathematics and Statistics (R0)
Stochastic instantaneous volatility models such as Heston, SABR or SV-LMM have mostly been developed to control the shape and joint dynamics of the implied volatility surface. In principle, they are well suited for pricing and hedging vanilla and exotic options, for relative value strategies or for risk management. In practice however, most SV models lack a closed form valuation for European ... Læs mere

420,24 kr.

Stochastic instantaneous volatility models such as Heston, SABR or SV-LMM have mostly been developed to control the shape and joint dynamics of the implied volatility surface. In principle, they are well suited for pricing and hedging vanilla and exotic options, for relative value strategies or for risk management. In practice however, most SV models lack a closed form valuation for European
... Læs mere
Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations

af Alexander Y. Khapalov ...

Serier serie Mathematics and Statistics (R0)
This book presents a concise study of controllability theory of partial differential equations when they are equipped with actuators and/or sensors that are finite dimensional at every moment of time. Based on the author’s extensive research in the area of controllability theory, this monograph specifically focuses on the issues of controllability, observability, and stabilizability for parabolic ... Læs mere

420,24 kr.

This book presents a concise study of controllability theory of partial differential equations when they are equipped with actuators and/or sensors that are finite dimensional at every moment of time. Based on the author’s extensive research in the area of controllability theory, this monograph specifically focuses on the issues of controllability, observability, and stabilizability for parabolic
... Læs mere
Attractors of Caputo Fractional Differential Equations

af Thai Son Doan, Peter E. Kloeden, Hoang The Tuan ...

Serier serie Mathematics and Statistics (R0)
This book focuses on dissipative Caputo fractional differential equations (FDEs) with an autonomous vector field. The introduction of Caputo FDEs in the 1960s allowed initial value problems to be handled more naturally and the asymptotic behaviour of models based on them to be investigated by researchers. More recently, mathematically defined dynamical systems generated by Caputo FDEs and their ... Læs mere

420,24 kr.

This book focuses on dissipative Caputo fractional differential equations (FDEs) with an autonomous vector field. The introduction of Caputo FDEs in the 1960s allowed initial value problems to be handled more naturally and the asymptotic behaviour of models based on them to be investigated by researchers. More recently, mathematically defined dynamical systems generated by Caputo FDEs and their
... Læs mere
Lectures on Mappings of Finite Distortion

af Stanislav Hencl, Pekka Koskela ...

Serier serie Mathematics and Statistics (R0)
In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuity properties, behavior of our mappings on null sets, topological properties like openness and discreteness, regularity of the potential inverse mappings and many other aspects. ... Læs mere

294,11 kr.

In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuity properties, behavior of our mappings on null sets, topological properties like openness and discreteness, regularity of the potential inverse mappings and many other aspects.
... Læs mere
Principles of Discontinuous Dynamical Systems

af Marat Akhmet ...

Serier serie Mathematics and Statistics (R0)
Discontinuous dynamical systems have played an important role in both theory and applications during the last several decades. This is still an area of active research and techniques to make the applications more effective are an ongoing topic of interest. Principles of Discontinuous Dynamical Systems is devoted to the theory of differential equations with variable moments of impulses. It ... Læs mere

466,89 kr.

Discontinuous dynamical systems have played an important role in both theory and applications during the last several decades. This is still an area of active research and techniques to make the applications more effective are an ongoing topic of interest. Principles of Discontinuous Dynamical Systems is devoted to the theory of differential equations with variable moments of impulses. It
... Læs mere
Equations Involving Malliavin Calculus Operators

Applications and Numerical Approximation

af Hermann Mena, Tijana Levajković ...

Serier serie Mathematics and Statistics (R0)
This book provides a comprehensive and unified introduction to stochastic differential equations and related optimal control problems. The material is new and the presentation is reader-friendly. A major contribution of the book is the development of generalized Malliavin calculus in the framework of white noise analysis, based on chaos expansion representation of stochastic processes and its ... Læs mere

513,59 kr.

This book provides a comprehensive and unified introduction to stochastic differential equations and related optimal control problems. The material is new and the presentation is reader-friendly. A major contribution of the book is the development of generalized Malliavin calculus in the framework of white noise analysis, based on chaos expansion representation of stochastic processes and its
... Læs mere
A Comprehensive Introduction to Sub-Riemannian Geometry

af Andrei Agrachev, Davide Barilari, Ugo Boscain ...

Serier Bog 181 - Cambridge Studies in Advanced Mathematics
Sub-Riemannian geometry is the geometry of a world with nonholonomic constraints. In such a world, one can move, send and receive information only in certain admissible directions but eventually can reach every position from any other. In the last two decades sub-Riemannian geometry has emerged as an independent research domain impacting on several areas of pure and applied mathematics, with ... Læs mere

1.886,48 kr.

Sub-Riemannian geometry is the geometry of a world with nonholonomic constraints. In such a world, one can move, send and receive information only in certain admissible directions but eventually can reach every position from any other. In the last two decades sub-Riemannian geometry has emerged as an independent research domain impacting on several areas of pure and applied mathematics, with
... Læs mere
Dispersive Partial Differential Equations

Wellposedness and Applications

af M. Burak Erdoğan, Nikolaos Tzirakis ...

Serier Bog 86 - London Mathematical Society Student Texts
The area of nonlinear dispersive partial differential equations (PDEs) is a fast developing field which has become exceedingly technical in recent years. With this book, the authors provide a self-contained and accessible introduction for graduate or advanced undergraduate students in mathematics, engineering, and the physical sciences. Both classical and modern methods used in the field are ... Læs mere

455,90 kr.

The area of nonlinear dispersive partial differential equations (PDEs) is a fast developing field which has become exceedingly technical in recent years. With this book, the authors provide a self-contained and accessible introduction for graduate or advanced undergraduate students in mathematics, engineering, and the physical sciences. Both classical and modern methods used in the field are
... Læs mere
Fractional Differential Equations

Modeling, Discretization, and Numerical Solvers

Redigeret af Angelamaria Cardone, Marco Donatelli, Fabio Durastante, Roberto Garrappa, Mariarosa Mazza, Marina Popolizio ...

Serier serie Springer Nature Proceedings excluding Computer Science
The content of the book collects some contributions related to the talks presented during the INdAM Workshop "Fractional Differential Equations: Modelling, Discretization, and Numerical Solvers", held in Rome, Italy, on July 12–14, 2021. All contributions are original and not published elsewhere.The main topic of the book is fractional calculus, a topic that addresses the study and application of ... Læs mere

1.494,25 kr.

The content of the book collects some contributions related to the talks presented during the INdAM Workshop "Fractional Differential Equations: Modelling, Discretization, and Numerical Solvers", held in Rome, Italy, on July 12–14, 2021. All contributions are original and not published elsewhere.The main topic of the book is fractional calculus, a topic that addresses the study and application of
... Læs mere
Lectures on Real Analysis

af Finnur Lárusson ...

Serier Bog 21 - Australian Mathematical Society Lecture Series
This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which ... Læs mere

526,64 kr.

This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which
... Læs mere
Nonoscillation Theory of Functional Differential Equations with Applications

af Ravi P. Agarwal, Leonid Berezansky, Elena Braverman, Alexander Domoshnitsky ...

Serier serie Mathematics and Statistics (R0)
This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective the volume considers a wide class of equations including, scalar equations and systems of different types, equations with variable types of delays ... Læs mere

840,47 kr.

This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective the volume considers a wide class of equations including, scalar equations and systems of different types, equations with variable types of delays
... Læs mere
Applied Stochastic Differential Equations

af Simo Särkkä, Arno Solin ...

Serier Bog 10 - Institute of Mathematical Statistics Textbooks
Stochastic differential equations are differential equations whose solutions are stochastic processes. They exhibit appealing mathematical properties that are useful in modeling uncertainties and noisy phenomena in many disciplines. This book is motivated by applications of stochastic differential equations in target tracking and medical technology and, in particular, their use in methodologies ... Læs mere

416,60 kr.

Stochastic differential equations are differential equations whose solutions are stochastic processes. They exhibit appealing mathematical properties that are useful in modeling uncertainties and noisy phenomena in many disciplines. This book is motivated by applications of stochastic differential equations in target tracking and medical technology and, in particular, their use in methodologies
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Control of Wave and Beam PDEs

The Riesz Basis Approach

af Bao-Zhu Guo, Jun-Min Wang ...

Serier serie Intelligent Technologies and Robotics (R0)
Control of Wave and Beam PDEs is a concise, self-contained introduction to Riesz bases in Hilbert space and their applications to control systems described by partial differential equations (PDEs). The authors discuss classes of systems that satisfy the spectral determined growth condition, the problem of stability, and the relationship between fulfillment of the condition and stability.Using the ... Læs mere

1.307,45 kr.

Control of Wave and Beam PDEs is a concise, self-contained introduction to Riesz bases in Hilbert space and their applications to control systems described by partial differential equations (PDEs). The authors discuss classes of systems that satisfy the spectral determined growth condition, the problem of stability, and the relationship between fulfillment of the condition and stability.Using the
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Algebraic Approaches to Partial Differential Equations

af Xiaoping Xu ...

This book presents the various algebraic techniques for solving partial differential equations to yield exact solutions, techniques developed by the author in recent years and with emphasis on physical equations such as: the Maxwell equations, the Dirac equations, the KdV equation, the KP equation, the nonlinear Schrodinger equation, the Davey and Stewartson equations, the Boussinesq equations in ... Læs mere

840,47 kr.

This book presents the various algebraic techniques for solving partial differential equations to yield exact solutions, techniques developed by the author in recent years and with emphasis on physical equations such as: the Maxwell equations, the Dirac equations, the KdV equation, the KP equation, the nonlinear Schrodinger equation, the Davey and Stewartson equations, the Boussinesq equations in
... Læs mere
Analysis And Differential Equations

af Odile Pons ...

This book presents advanced methods of integral calculus and the classical theory of the ordinary and partial differential equations. It provides explicit solutions of linear and nonlinear differential equations and implicit solutions with discrete approximations. Differential equations that could not be explicitly solved are discussed with special functions such as Bessel functions. New functions ... Læs mere

235,81 kr.

This book presents advanced methods of integral calculus and the classical theory of the ordinary and partial differential equations. It provides explicit solutions of linear and nonlinear differential equations and implicit solutions with discrete approximations. Differential equations that could not be explicitly solved are discussed with special functions such as Bessel functions. New functions
... Læs mere
Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations

af Grigorij Kulinich, Svitlana Kushnirenko, Yuliya Mishura ...

Serier serie Mathematics and Statistics (R0)
This book is devoted to unstable solutions of stochastic differential equations (SDEs). Despite the huge interest in the theory of SDEs, this book is the first to present a systematic study of the instability and asymptotic behavior of the corresponding unstable stochastic systems. The limit theorems contained in the book are not merely of purely mathematical value; rather, they also have ... Læs mere

420,24 kr.

This book is devoted to unstable solutions of stochastic differential equations (SDEs). Despite the huge interest in the theory of SDEs, this book is the first to present a systematic study of the instability and asymptotic behavior of the corresponding unstable stochastic systems. The limit theorems contained in the book are not merely of purely mathematical value; rather, they also have
... 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

466,89 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

308,11 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
Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

af Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou ...

This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new ... Læs mere

840,47 kr.

This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new
... Læs mere
Calculus of Variations

af Filip Rindler ...

Serier serie Mathematics and Statistics (R0)
This textbook provides a comprehensive introduction to the classical and modern calculus of variations, serving as a useful reference to advanced undergraduate and graduate students as well as researchers in the field.Starting from ten motivational examples, the book begins with the most important aspects of the classical theory, including the Direct Method, the Euler-Lagrange equation, Lagrange ... Læs mere

747,08 kr.

This textbook provides a comprehensive introduction to the classical and modern calculus of variations, serving as a useful reference to advanced undergraduate and graduate students as well as researchers in the field.Starting from ten motivational examples, the book begins with the most important aspects of the classical theory, including the Direct Method, the Euler-Lagrange equation, Lagrange
... 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

675,99 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
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

1.307,45 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
Mathematical Modelling of Aerospace Dynamic Systems with Practical Applications

af Jitendra R. Raol, V.P.S. Naidu ...

Mathematical Modelling of Aerospace Dynamic Systems with Practical Applications provides mathematical models for several aerospace dynamic systems: aircraft, rotorcraft, missiles, unmanned aerial vehicles (UAVs), mini air vehicles (MAVs), autonomous underwater vehicles (AUWVs), and satellite-coordinate systems.Presenting the use of mathematical models for analysis, prediction, and control of these ... Læs mere

1.287,48 kr.

Mathematical Modelling of Aerospace Dynamic Systems with Practical Applications provides mathematical models for several aerospace dynamic systems: aircraft, rotorcraft, missiles, unmanned aerial vehicles (UAVs), mini air vehicles (MAVs), autonomous underwater vehicles (AUWVs), and satellite-coordinate systems.Presenting the use of mathematical models for analysis, prediction, and control of these
... Læs mere
Optimal Control Systems

af D. Subbaram Naidu ...

Serier serie Electrical Engineering Series
The theory of optimal control systems has grown and flourished since the 1960's. Many texts, written on varying levels of sophistication, have been published on the subject. Yet even those purportedly designed for beginners in the field are often riddled with complex theorems, and many treatments fail to include topics that are essential to a thorough grounding in the various aspects of and ... Læs mere

1.662,99 kr.

The theory of optimal control systems has grown and flourished since the 1960's. Many texts, written on varying levels of sophistication, have been published on the subject. Yet even those purportedly designed for beginners in the field are often riddled with complex theorems, and many treatments fail to include topics that are essential to a thorough grounding in the various aspects of and
... Læs mere

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Differentialligninger e-bøger

Asymptotic Chaos Expansions in Finance

Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations

Attractors of Caputo Fractional Differential Equations

Lectures on Mappings of Finite Distortion

Principles of Discontinuous Dynamical Systems

Equations Involving Malliavin Calculus Operators

A Comprehensive Introduction to Sub-Riemannian Geometry

Dispersive Partial Differential Equations

Fractional Differential Equations

Lectures on Real Analysis

Nonoscillation Theory of Functional Differential Equations with Applications

Applied Stochastic Differential Equations

Control of Wave and Beam PDEs

Algebraic Approaches to Partial Differential Equations

Analysis And Differential Equations

Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations

Brownian Dynamics at Boundaries and Interfaces

Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces

Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

Calculus of Variations

Spectral Theory and its Applications

Nonlinear Partial Differential Equations

Mathematical Modelling of Aerospace Dynamic Systems with Practical Applications

Optimal Control Systems