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Recommended For You

Multiple Time Scale Dynamics

by Christian Kuehn ...

Series series Mathematics and Statistics (R0)
This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a ... Read more

R1 424,95

This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a
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Infinite-dimensional Dynamical Systems In Atmospheric And Oceanic Science

by Boling Guo, Daiwen Huang ...

The book provides some recent works in the study of some infinite-dimensional dynamical systems in atmospheric and oceanic science. It devotes itself to considering some infinite-dimensional dynamical systems in atmospheric and oceanic science, especially in geophysical fluid dynamics. The subject on geophysical fluid dynamics mainly tends to focus on the dynamics of large-scale phenomena in the ... Read more

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The book provides some recent works in the study of some infinite-dimensional dynamical systems in atmospheric and oceanic science. It devotes itself to considering some infinite-dimensional dynamical systems in atmospheric and oceanic science, especially in geophysical fluid dynamics. The subject on geophysical fluid dynamics mainly tends to focus on the dynamics of large-scale phenomena in the
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Ordinary And Partial Differential Equations For The Beginner

by Laszlo Szekelyhidi ...

This textbook is intended for college, undergraduate and graduate students, emphasizing mainly on ordinary differential equations. However, the theory of characteristics for first order partial differential equations and the classification of second order linear partial differential operators are also included. It contains the basic material starting from elementary solution methods for ordinary ... Read more

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This textbook is intended for college, undergraduate and graduate students, emphasizing mainly on ordinary differential equations. However, the theory of characteristics for first order partial differential equations and the classification of second order linear partial differential operators are also included. It contains the basic material starting from elementary solution methods for ordinary
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Change and Variations

A History of Differential Equations to 1900

by Jeremy Gray ...

Series series Mathematics and Statistics (R0)
This book presents a history of differential equations, both ordinary and partial, as well as the calculus of variations, from the origins of the subjects to around 1900. Topics treated include the wave equation in the hands of d’Alembert and Euler; Fourier’s solutions to the heat equation and the contribution of Kovalevskaya; the work of Euler, Gauss, Kummer, Riemann, and Poincaré on the ... Read more

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This book presents a history of differential equations, both ordinary and partial, as well as the calculus of variations, from the origins of the subjects to around 1900. Topics treated include the wave equation in the hands of d’Alembert and Euler; Fourier’s solutions to the heat equation and the contribution of Kovalevskaya; the work of Euler, Gauss, Kummer, Riemann, and Poincaré on the
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Geometric Properties for Parabolic and Elliptic PDE's

Edited by Rolando Magnanini, Shigeru Sakaguchi, Angelo Alvino ...

Series series Mathematics and Statistics (R0)
The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an ... Read more

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The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an
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Numerical Methods for Fractal-Fractional Differential Equations and Engineering

Simulations and Modeling

by Muhammad Altaf Khan, Abdon Atangana ...

Series series Mathematics and its Applications
This book is about the simulation and modeling of novel chaotic systems within the frame of fractal-fractional operators. The methods used, their convergence, stability, and error analysis are given, and this is the first book to offer mathematical modeling and simulations of chaotic problems with a wide range of fractal-fractional operators, to find solutions.Numerical Methods for Fractal ... Read more

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This book is about the simulation and modeling of novel chaotic systems within the frame of fractal-fractional operators. The methods used, their convergence, stability, and error analysis are given, and this is the first book to offer mathematical modeling and simulations of chaotic problems with a wide range of fractal-fractional operators, to find solutions.Numerical Methods for Fractal
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Control of Wave and Beam PDEs

The Riesz Basis Approach

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

Series series 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 ... Read more

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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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Fractional Laplacian, The

by Wenxiong Chen, Yan Li, Pei Ma ...

This is a unique book that provides a comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of fractional Laplacian, it gradually leads the readers to the frontier of current research in this area. The explanations and illustrations are elementary enough so that first year graduate students can ... Read more

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This is a unique book that provides a comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of fractional Laplacian, it gradually leads the readers to the frontier of current research in this area. The explanations and illustrations are elementary enough so that first year graduate students can
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Advanced Mathematics for Engineers and Physicists

by Sever Angel Popescu, Marilena Jianu ...

Series series Mathematics and Statistics (R0)
This book is designed to be an introductory course to some basic chapters of Advanced Mathematics for Engineering and Physics students, researchers in different branches of Applied Mathematics and anyone wanting to improve their mathematical knowledge by a clear, live, self-contained and motivated text.Here, one can find different topics, such as differential (first order or higher order) ... Read more

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This book is designed to be an introductory course to some basic chapters of Advanced Mathematics for Engineering and Physics students, researchers in different branches of Applied Mathematics and anyone wanting to improve their mathematical knowledge by a clear, live, self-contained and motivated text.Here, one can find different topics, such as differential (first order or higher order)
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Applications of Homogenization Theory to the Study of Mineralized Tissue

by Robert P. Gilbert, Ana Vasilic, Sandra Klinge, Alex Panchenko, Klaus Hackl ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple scales. Generally, homogenization is utilized as a modeling procedure to describe processes in complex structures.Applications of Homogenization Theory to the Study of Mineralized Tissue functions as an introduction to the theory of homogenization. ... Read more

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Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple scales. Generally, homogenization is utilized as a modeling procedure to describe processes in complex structures.Applications of Homogenization Theory to the Study of Mineralized Tissue functions as an introduction to the theory of homogenization.
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Analysis and Differential Equations

by Odile Pons ...

The book presents advanced methods of integral calculus and optimization, the classical theory of ordinary and partial differential equations and systems of dynamical equations. It provides explicit solutions of linear and nonlinear differential equations, and implicit solutions with discrete approximations.The main changes of this second edition are: the addition of theoretical sections proving ... Read more

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The book presents advanced methods of integral calculus and optimization, the classical theory of ordinary and partial differential equations and systems of dynamical equations. It provides explicit solutions of linear and nonlinear differential equations, and implicit solutions with discrete approximations.The main changes of this second edition are: the addition of theoretical sections proving
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Partial Differential Equations for Mathematical Physicists

by Bijan Kumar Bagchi ...

Partial Differential Equations for Mathematical Physicists is intended for graduate students, researchers of theoretical physics and applied mathematics, and professionals who want to take a course in partial differential equations. This book offers the essentials of the subject with the prerequisite being only an elementary knowledge of introductory calculus, ordinary differential equations, and ... Read more

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Partial Differential Equations for Mathematical Physicists is intended for graduate students, researchers of theoretical physics and applied mathematics, and professionals who want to take a course in partial differential equations. This book offers the essentials of the subject with the prerequisite being only an elementary knowledge of introductory calculus, ordinary differential equations, and
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Numerische Behandlung gewöhnlicher und partieller Differenzialgleichungen

Ein anwendungsorientiertes Lehrbuch für Ingenieure

by Claus-Dieter Munz, Thomas Westermann ...

Series series Computer Science and Engineering (German Language)
Das Lehrbuch vermittelt die Herleitung numerischer Algorithmen zur Lösung von Differenzialgleichungen und gibt einen Einblick in die praktische Implementierung.Anhand von Beispielen und Übungsaufgaben mit Problemstellungen aus dem Ingenieurbereich werden Eigenschaften und Einsatzbereiche der verschiedenen Verfahren erläutert. Für die Beispiele und Aufgaben stehen MAPLE-Worksheets und MATLAB ... Read more

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Das Lehrbuch vermittelt die Herleitung numerischer Algorithmen zur Lösung von Differenzialgleichungen und gibt einen Einblick in die praktische Implementierung.Anhand von Beispielen und Übungsaufgaben mit Problemstellungen aus dem Ingenieurbereich werden Eigenschaften und Einsatzbereiche der verschiedenen Verfahren erläutert. Für die Beispiele und Aufgaben stehen MAPLE-Worksheets und MATLAB
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Nonlinear Elliptic Partial Differential Equations

An Introduction

by Hervé Le Dret ...

Series series Mathematics and Statistics (R0)
This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations.After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite ... Read more

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This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations.After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite
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Stochastic Differential Equations and Applications

by X Mao ...

This advanced undergraduate and graduate text has now been revised and updated to cover the basic principles and applications of various types of stochastic systems, with much on theory and applications not previously available in book form. The text is also useful as a reference source for pure and applied mathematicians, statisticians and probabilists, engineers in control and communications, ... Read more

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This advanced undergraduate and graduate text has now been revised and updated to cover the basic principles and applications of various types of stochastic systems, with much on theory and applications not previously available in book form. The text is also useful as a reference source for pure and applied mathematicians, statisticians and probabilists, engineers in control and communications,
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Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces

by Anatoliy M Samoilenko, Yuriy Teplinsky ...

Series Book 86 - World Scientific Series On Nonlinear Science Series A
Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference equations, which are defined on finite-dimensional and infinite-dimensional tori, the problem of reducibility is solved, in particular, in neighborhoods of their invariant sets, and the basics for a theory of invariant tori and bounded semi-invariant manifolds ... Read more

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Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference equations, which are defined on finite-dimensional and infinite-dimensional tori, the problem of reducibility is solved, in particular, in neighborhoods of their invariant sets, and the basics for a theory of invariant tori and bounded semi-invariant manifolds
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Advances in Nonlinear Mechanics in China

by Wenhu Huang ...

Series series Advances in Engineering Series
Since the 1990s, significant advances have been made in the research on nonlinear dynamics in China. Many papers were published in Chinese in the Journal of Vibration Engineering, Journal of Nonlinear Dynamics, and Vibration and Shock. This work offers translations of selected articles. ... Read more

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Since the 1990s, significant advances have been made in the research on nonlinear dynamics in China. Many papers were published in Chinese in the Journal of Vibration Engineering, Journal of Nonlinear Dynamics, and Vibration and Shock. This work offers translations of selected articles.
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Distributions

An Outline

by Jean-Paul Marchand ...

Series series Dover Books on Mathematics
In a simple but mathematically coherent manner, this text examines the basis of the distribution theories devised by Schwartz and by Mikusinki. Rigorous and concise, it surveys the functional theory of distributions as well as the algebraic theory. Its easy generalizations offer applications to a wide variety of problems.The two-part treatment begins with the functional theory of distributions, ... Read more

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In a simple but mathematically coherent manner, this text examines the basis of the distribution theories devised by Schwartz and by Mikusinki. Rigorous and concise, it surveys the functional theory of distributions as well as the algebraic theory. Its easy generalizations offer applications to a wide variety of problems.The two-part treatment begins with the functional theory of distributions,
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A First Course in Partial Differential Equations

with Complex Variables and Transform Methods

by H. F. Weinberger ...

Series series Dover Books on Mathematics
This popular text was created for a one-year undergraduate course or beginning graduate course in partial differential equations, including the elementary theory of complex variables. It employs a framework in which the general properties of partial differential equations, such as characteristics, domains of independence, and maximum principles, can be clearly seen. The only prerequisite is a good ... Read more

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This popular text was created for a one-year undergraduate course or beginning graduate course in partial differential equations, including the elementary theory of complex variables. It employs a framework in which the general properties of partial differential equations, such as characteristics, domains of independence, and maximum principles, can be clearly seen. The only prerequisite is a good
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Hedgehog Theory

by Yves Martinez-Maure ...

Series series Mathematics and Statistics (R0)
This book provides the very first comprehensive and self-contained introduction to hedgehog theory, which is born of the desire to visualize the formal differences of convex bodies. This extension of convex geometry has revealed unexpected depth and connections with many areas of mathematics, shedding new light on old problems such as the characterization of the 2-sphere conjectured by A.D. ... Read more

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This book provides the very first comprehensive and self-contained introduction to hedgehog theory, which is born of the desire to visualize the formal differences of convex bodies. This extension of convex geometry has revealed unexpected depth and connections with many areas of mathematics, shedding new light on old problems such as the characterization of the 2-sphere conjectured by A.D.
... Read more
Prandtl Equations and Related Boundary Layer Equations

by Yuming Qin, Xiaolei Dong, Xiuqing Wang ...

Series series Physics and Astronomy (R0)
This book aims to present some recent results on Prandtl equations and MHD boundary layer equations.This book is essentially divided into two parts. Chapter 1 as the first part systematically surveys the results till 2020 on Prandtl equations and MHD boundary layer equations. Chapter 2 to 6 are the main part of the book, which presents the local and the global well-posedness of solutions to the ... Read more

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This book aims to present some recent results on Prandtl equations and MHD boundary layer equations.This book is essentially divided into two parts. Chapter 1 as the first part systematically surveys the results till 2020 on Prandtl equations and MHD boundary layer equations. Chapter 2 to 6 are the main part of the book, which presents the local and the global well-posedness of solutions to the
... Read more
Fractional Stochastic Differential Equations

Applications to Covid-19 Modeling

by Abdon Atangana, Seda İgret Araz ...

Series series Mathematics and Statistics (R0)
This book provides a thorough conversation on the underpinnings of Covid-19 spread modelling by using stochastics nonlocal differential and integral operators with singular and non-singular kernels. The book presents the dynamic of Covid-19 spread behaviour worldwide. It is noticed that the spread dynamic followed process with nonlocal behaviours which resemble power law, fading memory, crossover ... Read more

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This book provides a thorough conversation on the underpinnings of Covid-19 spread modelling by using stochastics nonlocal differential and integral operators with singular and non-singular kernels. The book presents the dynamic of Covid-19 spread behaviour worldwide. It is noticed that the spread dynamic followed process with nonlocal behaviours which resemble power law, fading memory, crossover
... Read more
Operator Theory and Differential Equations

Edited by Anatoly G. Kusraev, Zhanna D. Totieva ...

Series series Springer Nature Proceedings excluding Computer Science
This volume features selected papers from The Fifteenth International Conference on Order Analysis and Related Problems of Mathematical Modeling, which was held in Vladikavkaz, Russia, on 15 - 20th July2019. Intended for mathematicians specializing in operator theory, functional spaces, differential equations or mathematical modeling, the book provides a state-of-the-art account of various ... Read more

R1 603,09

This volume features selected papers from The Fifteenth International Conference on Order Analysis and Related Problems of Mathematical Modeling, which was held in Vladikavkaz, Russia, on 15 - 20th July2019. Intended for mathematicians specializing in operator theory, functional spaces, differential equations or mathematical modeling, the book provides a state-of-the-art account of various
... Read more
Analytical Methods for Kolmogorov Equations

by Luca Lorenzi ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
The second edition of this book has a new title that more accurately reflects the table of contents. Over the past few years, many new results have been proven in the field of partial differential equations. This edition takes those new results into account, in particular the study of nonautonomous operators with unbounded coefficients, which has received great attention. Additionally, this ... Read more

R4 540,89

The second edition of this book has a new title that more accurately reflects the table of contents. Over the past few years, many new results have been proven in the field of partial differential equations. This edition takes those new results into account, in particular the study of nonautonomous operators with unbounded coefficients, which has received great attention. Additionally, this
... Read more

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Recommended For You

Differential Equations eBooks

Multiple Time Scale Dynamics

Infinite-dimensional Dynamical Systems In Atmospheric And Oceanic Science

Ordinary And Partial Differential Equations For The Beginner

Change and Variations

Geometric Properties for Parabolic and Elliptic PDE's

Numerical Methods for Fractal-Fractional Differential Equations and Engineering

Control of Wave and Beam PDEs

Fractional Laplacian, The

Advanced Mathematics for Engineers and Physicists

Applications of Homogenization Theory to the Study of Mineralized Tissue

Analysis and Differential Equations

Partial Differential Equations for Mathematical Physicists

Numerische Behandlung gewöhnlicher und partieller Differenzialgleichungen

Nonlinear Elliptic Partial Differential Equations

Stochastic Differential Equations and Applications

Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces

Advances in Nonlinear Mechanics in China

Distributions

A First Course in Partial Differential Equations

Hedgehog Theory

Prandtl Equations and Related Boundary Layer Equations

Fractional Stochastic Differential Equations

Operator Theory and Differential Equations

Analytical Methods for Kolmogorov Equations