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Nonlinear Partial Differential Equations for Scientists and Engineers

af Lokenath Debnath ...

Serier serie Mathematics and Statistics (R0)
The revised and enlarged third edition of this successful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied and updated applications. In an effort to make the book more useful for a diverse readership, updated modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear ... Læs mere

1.307,67 kr.

The revised and enlarged third edition of this successful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied and updated applications. In an effort to make the book more useful for a diverse readership, updated modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear
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Distribution of Statistical Observables for Anomalous and Nonergodic Diffusions

From Statistics to Mathematics

af Weihua Deng, Xudong Wang, Daxin Nie, Xing Liu ...

This book investigates statistical observables for anomalous and nonergodic dynamics, focusing on the dynamical behaviors of particles modelled by non-Brownian stochastic processes in the complex real-world environment.Statistical observables are widely used for anomalous and nonergodic stochastic systems, thus serving as a key to uncover their dynamics. This study explores the cutting edge of ... Læs mere

538,03 kr.

This book investigates statistical observables for anomalous and nonergodic dynamics, focusing on the dynamical behaviors of particles modelled by non-Brownian stochastic processes in the complex real-world environment.Statistical observables are widely used for anomalous and nonergodic stochastic systems, thus serving as a key to uncover their dynamics. This study explores the cutting edge of
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Current Challenges in Stability Issues for Numerical Differential Equations

Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi

af Wolf-Jürgen Beyn, Luca Dieci, Nicola Guglielmi, Ernst Hairer, Jesús María Sanz-Serna, Marino Zennaro ...

Serier serie Mathematics and Statistics (R0)
This volume addresses some of the research areas in the general field of stability studies for differential equations, with emphasis on issues of concern for numerical studies.Topics considered include: (i) the long time integration of Hamiltonian Ordinary DEs and highly oscillatory systems, (ii) connection between stochastic DEs and geometric integration using the Markov chain Monte Carlo method, ... Læs mere

420,26 kr.

This volume addresses some of the research areas in the general field of stability studies for differential equations, with emphasis on issues of concern for numerical studies.Topics considered include: (i) the long time integration of Hamiltonian Ordinary DEs and highly oscillatory systems, (ii) connection between stochastic DEs and geometric integration using the Markov chain Monte Carlo method,
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Modelling with Ordinary Differential Equations

A Comprehensive Approach

af Alfio Borzì ...

Serier serie Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
Modelling with Ordinary Differential Equations: A Comprehensive Approach aims to provide a broad and self-contained introduction to the mathematical tools necessary to investigate and apply ODE models. The book starts by establishing the existence of solutions in various settings and analysing their stability properties. The next step is to illustrate modelling issues arising in the calculus of ... Læs mere

591,84 kr.

Modelling with Ordinary Differential Equations: A Comprehensive Approach aims to provide a broad and self-contained introduction to the mathematical tools necessary to investigate and apply ODE models. The book starts by establishing the existence of solutions in various settings and analysing their stability properties. The next step is to illustrate modelling issues arising in the calculus of
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Elliptic Systems of Phase Transition Type

af Nicholas D. Alikakos, Giorgio Fusco, Panayotis Smyrnelis ...

Serier serie Mathematics and Statistics (R0)
This book focuses on the vector Allen-Cahn equation, which models coexistence of three or more phases and is related to Plateau complexes – non-orientable objects with a stratified structure. The minimal solutions of the vector equation exhibit an analogous structure not present in the scalar Allen-Cahn equation, which models coexistence of two phases and is related to minimal surfaces. The 1978 ... Læs mere

840,61 kr.

This book focuses on the vector Allen-Cahn equation, which models coexistence of three or more phases and is related to Plateau complexes – non-orientable objects with a stratified structure. The minimal solutions of the vector equation exhibit an analogous structure not present in the scalar Allen-Cahn equation, which models coexistence of two phases and is related to minimal surfaces. The 1978
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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

424,94 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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Modern Methods in Operator Theory and Harmonic Analysis

OTHA 2018, Rostov-on-Don, Russia, April 22-27, Selected, Revised and Extended Contributions

Redigeret af Alexey Karapetyants, Vladislav Kravchenko, Elijah Liflyand ...

Serier serie Springer Nature Proceedings excluding Computer Science
This proceedings volume gathers selected, peer-reviewed papers from the "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VIII" (OTHA 2018) conference, which was held in Rostov-on-Don, Russia, in April 2018.The book covers a diverse range of topics in advanced mathematics, including harmonic analysis, functional analysis, operator theory, function theory, ... Læs mere

1.307,67 kr.

This proceedings volume gathers selected, peer-reviewed papers from the "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VIII" (OTHA 2018) conference, which was held in Rostov-on-Don, Russia, in April 2018.The book covers a diverse range of topics in advanced mathematics, including harmonic analysis, functional analysis, operator theory, function theory,
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500 Examples and Problems of Applied Differential Equations

af Ravi P. Agarwal, Simona Hodis, Donal O’Regan ...

Serier serie Mathematics and Statistics (R0)
This book highlights an unprecedented number of real-life applications of differential equations together with the underlying theory and techniques. The problems and examples presented here touch on key topics in the discipline, including first order (linear and nonlinear) differential equations, second (and higher) order differential equations, first order differential systems, the Runge–Kutta ... Læs mere

560,38 kr.

This book highlights an unprecedented number of real-life applications of differential equations together with the underlying theory and techniques. The problems and examples presented here touch on key topics in the discipline, including first order (linear and nonlinear) differential equations, second (and higher) order differential equations, first order differential systems, the Runge–Kutta
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Variational Analysis and Set Optimization

Developments and Applications in Decision Making

Redigeret af Akhtar A. Khan, Elisabeth Köbis, Christiane Tammer ...

This book contains the latest advances in variational analysis and set / vector optimization, including uncertain optimization, optimal control and bilevel optimization. Recent developments concerning scalarization techniques, necessary and sufficient optimality conditions and duality statements are given. New numerical methods for efficiently solving set optimization problems are provided. ... Læs mere

581,08 kr.

This book contains the latest advances in variational analysis and set / vector optimization, including uncertain optimization, optimal control and bilevel optimization. Recent developments concerning scalarization techniques, necessary and sufficient optimality conditions and duality statements are given. New numerical methods for efficiently solving set optimization problems are provided.
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Lectures, Problems And Solutions For Ordinary Differential Equations (Second Edition)

af Yuefan Deng ...

This unique book on ordinary differential equations addresses practical issues of composing and solving differential equations by demonstrating the detailed solutions of more than 1,000 examples. The initial draft was used to teach more than 10,000 advanced undergraduate students in engineering, physics, economics, as well as applied mathematics. It is a good source for students to learn problem ... Læs mere

368,82 kr.

This unique book on ordinary differential equations addresses practical issues of composing and solving differential equations by demonstrating the detailed solutions of more than 1,000 examples. The initial draft was used to teach more than 10,000 advanced undergraduate students in engineering, physics, economics, as well as applied mathematics. It is a good source for students to learn problem
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Evolutionary Equations with Applications in Natural Sciences

Redigeret af Jacek Banasiak, Mustapha Mokhtar-Kharroubi ...

Serier serie Mathematics and Statistics (R0)
With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and ... Læs mere

466,97 kr.

With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and
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Optimal Stochastic Control, Stochastic Target Problems, and Backward SDE

af Nizar Touzi ...

Serier Bog 29 - Fields Institute Monographs
This book collects some recent developments in stochastic control theory with applications to financial mathematics. We first address standard stochastic control problems from the viewpoint of the recently developed weak dynamic programming principle. A special emphasis is put on the regularity issues and, in particular, on the behavior of the value function near the boundary. We then provide a ... Læs mere

1.027,44 kr.

This book collects some recent developments in stochastic control theory with applications to financial mathematics. We first address standard stochastic control problems from the viewpoint of the recently developed weak dynamic programming principle. A special emphasis is put on the regularity issues and, in particular, on the behavior of the value function near the boundary. We then provide a
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Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations

af M.D.S. Aliyu ...

A comprehensive overview of nonlinear H∞ control theory for both continuous-time and discrete-time systems, Nonlinear H∞-Control, Hamiltonian Systems and Hamilton-Jacobi Equations covers topics as diverse as singular nonlinear *H∞-*control, nonlinear *H∞***-**filtering, mixed *H2/ H∞-*nonlinear control and filtering, nonlinear *H∞-*almost-disturbance-decoupling,and algorithms for solving the ... Læs mere

1.291,43 kr.

A comprehensive overview of nonlinear H∞ control theory for both continuous-time and discrete-time systems, Nonlinear H∞-Control, Hamiltonian Systems and Hamilton-Jacobi Equations covers topics as diverse as singular nonlinear *H∞-*control, nonlinear *H∞***-**filtering, mixed *H2/ H∞-*nonlinear control and filtering, nonlinear *H∞-*almost-disturbance-decoupling,and algorithms for solving the
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Biomolecular Feedback Systems

af Domitilla Del Vecchio, Richard Murray ...

This book provides an accessible introduction to the principles and tools for modeling, analyzing, and synthesizing biomolecular systems. It begins with modeling tools such as reaction-rate equations, reduced-order models, stochastic models, and specific models of important core processes. It then describes in detail the control and dynamical systems tools used to analyze these models. These ... Læs mere

783,74 kr.

This book provides an accessible introduction to the principles and tools for modeling, analyzing, and synthesizing biomolecular systems. It begins with modeling tools such as reaction-rate equations, reduced-order models, stochastic models, and specific models of important core processes. It then describes in detail the control and dynamical systems tools used to analyze these models. These
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Large-Scale Networks in Engineering and Life Sciences

Redigeret af Peter Benner, Rolf Findeisen, Dietrich Flockerzi, Udo Reichl, Kai Sundmacher ...

Serier serie Mathematics and Statistics (R0)
This edited volume provides insights into and tools for the modeling, analysis, optimization, and control of large-scale networks in the life sciences and in engineering. Large-scale systems are often the result of networked interactions between a large number of subsystems, and their analysis and control are becoming increasingly important. The chapters of this book present the basic concepts and ... Læs mere

466,97 kr.

This edited volume provides insights into and tools for the modeling, analysis, optimization, and control of large-scale networks in the life sciences and in engineering. Large-scale systems are often the result of networked interactions between a large number of subsystems, and their analysis and control are becoming increasingly important. The chapters of this book present the basic concepts and
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Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces

af Silvestru Sever Dragomir ...

Serier serie Mathematics and Statistics (R0)
Aimed toward researchers, postgraduate students, and scientists in linear operator theory and mathematical inequalities, this self-contained monograph focuses on numerical radius inequalities for bounded linear operators on complex Hilbert spaces for the case of one and two operators. Students at the graduate level will learn some essentials that may be useful for reference in courses in ... Læs mere

466,97 kr.

Aimed toward researchers, postgraduate students, and scientists in linear operator theory and mathematical inequalities, this self-contained monograph focuses on numerical radius inequalities for bounded linear operators on complex Hilbert spaces for the case of one and two operators. Students at the graduate level will learn some essentials that may be useful for reference in courses in
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Applications of Mathematics and Informatics in Natural Sciences and Engineering

AMINSE 2019, Tbilisi, Georgia, September 23-26

Redigeret af George Jaiani, David Natroshvili ...

Serier serie Springer Nature Proceedings excluding Computer Science
This book presents peer-reviewed papers from the 4th International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering (AMINSE2019), held in Tbilisi, Georgia, in September 2019.Written by leading researchers from Austria, France, Germany, Georgia, Hungary, Romania, South Korea and the UK, the book discusses important aspects of mathematics, and informatics ... Læs mere

840,61 kr.

This book presents peer-reviewed papers from the 4th International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering (AMINSE2019), held in Tbilisi, Georgia, in September 2019.Written by leading researchers from Austria, France, Germany, Georgia, Hungary, Romania, South Korea and the UK, the book discusses important aspects of mathematics, and informatics
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Mathematical Modeling in the Age of the Pandemic

af William P. Fox ...

Serier serie Textbooks in Mathematics
One cannot watch or read about the news these days without hearing about the models for COVID-19 or the testing that must occur to approve vaccines or treatments for the disease.The purpose of Mathematical Modeling in the Age of a Pandemic is to shed some light on the meaning and interpretations of many of the types of models that are or might be used in the presentation of analysis. Understanding ... Læs mere

860,91 kr.

One cannot watch or read about the news these days without hearing about the models for COVID-19 or the testing that must occur to approve vaccines or treatments for the disease.The purpose of Mathematical Modeling in the Age of a Pandemic is to shed some light on the meaning and interpretations of many of the types of models that are or might be used in the presentation of analysis. Understanding
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Fractional-in-Time Semilinear Parabolic Equations and Applications

af Ciprian G. Gal, Mahamadi Warma ...

Serier serie Mathematics and Statistics (R0)
This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to certain fractional kinetic equations. This class of equations is characterized by the presence of a nonlinear time-dependent source, generally of arbitrary growth in the unknown function, a time derivative in the sense of Caputo and the presence of a large class of diffusion operators. ... Læs mere

513,67 kr.

This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to certain fractional kinetic equations. This class of equations is characterized by the presence of a nonlinear time-dependent source, generally of arbitrary growth in the unknown function, a time derivative in the sense of Caputo and the presence of a large class of diffusion operators.
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Numerical Weather Prediction

af Venkata Bhaskar Rao Dodla ...

Numerical Weather Prediction (NWP) is the current state-of-art methodology to provide weather prediction at different spatial and time scales to serve user community. The NWP uses a modeling system built up adopting the mathematical equations governing atmospheric motion, incorporating the physical processes through parameterization methods, solved applying numerical methods and carrying out large ... Læs mere

634,90 kr.

Numerical Weather Prediction (NWP) is the current state-of-art methodology to provide weather prediction at different spatial and time scales to serve user community. The NWP uses a modeling system built up adopting the mathematical equations governing atmospheric motion, incorporating the physical processes through parameterization methods, solved applying numerical methods and carrying out large
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New Perspectives on the Theory of Inequalities for Integral and Sum

af Nazia Irshad, Asif R. Khan, Faraz Mehmood, Josip Pečarić ...

Serier serie Mathematics and Statistics (R0)
This book provides new contributions to the theory of inequalities for integral and sum, and includes four chapters. In the first chapter, linear inequalities via interpolation polynomials and green functions are discussed. New results related to Popoviciu type linear inequalities via extension of the Montgomery identity, the Taylor formula, Abel-Gontscharoff's interpolation polynomials, Hermite ... Læs mere

1.027,44 kr.

This book provides new contributions to the theory of inequalities for integral and sum, and includes four chapters. In the first chapter, linear inequalities via interpolation polynomials and green functions are discussed. New results related to Popoviciu type linear inequalities via extension of the Montgomery identity, the Taylor formula, Abel-Gontscharoff's interpolation polynomials, Hermite
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Higher Order Derivatives

af Satya Mukhopadhyay ...

Serier serie Monographs and Surveys in Pure and Applied Mathematics
The concept of higher order derivatives is useful in many branches of mathematics and its applications. As they are useful in many places, nth order derivatives are often defined directly. Higher Order Derivatives discusses these derivatives, their uses, and the relations among them. It covers higher order generalized derivatives, including the Pea ... Læs mere

624,13 kr.

The concept of higher order derivatives is useful in many branches of mathematics and its applications. As they are useful in many places, nth order derivatives are often defined directly. Higher Order Derivatives discusses these derivatives, their uses, and the relations among them. It covers higher order generalized derivatives, including the Pea
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Mathematical Aspects of Numerical Solution of Hyperbolic Systems

af A.G. Kulikovskii, N.V. Pogorelov, A. Yu. Semenov ...

Serier serie Monographs and Surveys in Pure and Applied Mathematics
This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. The authors present the material in the context of the important mechanical applications of such systems, including the Euler equations of gas dynamics, ... Læs mere

764,05 kr.

This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. The authors present the material in the context of the important mechanical applications of such systems, including the Euler equations of gas dynamics,
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Free Boundary Problems in Fluid Dynamics

af Albert Ai, Thomas Alazard, Mihaela Ifrim, Daniel Tataru ...

Serier serie Mathematics and Statistics (R0)
This book, originating from a seminar held at Oberwolfach in 2022, introduces to state-of-the-art methods and results in the study of free boundary problems which are arising from compressible as well as from incompressible Euler’s equations in general. A particular set of such problems is given by gaseous stars considered in a vacuum (modeled via the compressible Euler equations) as well as water ... Læs mere

513,67 kr.

This book, originating from a seminar held at Oberwolfach in 2022, introduces to state-of-the-art methods and results in the study of free boundary problems which are arising from compressible as well as from incompressible Euler’s equations in general. A particular set of such problems is given by gaseous stars considered in a vacuum (modeled via the compressible Euler equations) as well as water
... Læs mere

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Differentialligninger e-bøger

Nonlinear Partial Differential Equations for Scientists and Engineers

Distribution of Statistical Observables for Anomalous and Nonergodic Diffusions

Current Challenges in Stability Issues for Numerical Differential Equations

Modelling with Ordinary Differential Equations

Elliptic Systems of Phase Transition Type

Applied Stochastic Differential Equations

Modern Methods in Operator Theory and Harmonic Analysis

500 Examples and Problems of Applied Differential Equations

Variational Analysis and Set Optimization

Lectures, Problems And Solutions For Ordinary Differential Equations (Second Edition)

Evolutionary Equations with Applications in Natural Sciences

Optimal Stochastic Control, Stochastic Target Problems, and Backward SDE

Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations

Biomolecular Feedback Systems

Large-Scale Networks in Engineering and Life Sciences

Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces

Applications of Mathematics and Informatics in Natural Sciences and Engineering

Mathematical Modeling in the Age of the Pandemic

Fractional-in-Time Semilinear Parabolic Equations and Applications

Numerical Weather Prediction

New Perspectives on the Theory of Inequalities for Integral and Sum

Higher Order Derivatives

Mathematical Aspects of Numerical Solution of Hyperbolic Systems

Free Boundary Problems in Fluid Dynamics