This volume provides an in-depth treatment of several equations and systems of mathematical physics, describing the propagation and interaction of nonlinear waves as different modifications of these: the KdV equation, Fornberg-Whitham equation, Vakhnenko equation, Camassa-Holm equation, several versions of the NLS equation, Kaup-Kupershmidt equation, Boussinesq paradigm, and Manakov system, amongst others, as well as symmetrizable quasilinear hyperbolic systems arising in fluid dynamics.
These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject.
These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject.
This volume provides an in-depth treatment of several equations and systems of mathematical physics, describing the propagation and interaction of nonlinear waves as different modifications of these: the KdV equation, Fornberg-Whitham equation, Vakhnenko equation, Camassa-Holm equation, several versions of the NLS equation, Kaup-Kupershmidt equation, Boussinesq paradigm, and Manakov system, amongst others, as well as symmetrizable quasilinear hyperbolic systems arising in fluid dynamics.
The book focuses on the basic theory of nonlocal and fractional operators and it is divided into two main parts covering respectively the basic theory of the "e;singular-integral"e; fractional Laplacian operator, which also includes a number of explicit examples of its evaluations, and the regularity theory in L^p spaces, by going through Bessel and Besov spaces.
The book focuses on the basic theory of nonlocal and fractional operators and it is divided into two main parts covering respectively the basic theory of the "e;singular-integral"e; fractional Laplacian operator, which also includes a number of explicit examples of its evaluations, and the regularity theory in L^p spaces, by going through Bessel and Besov spaces.
Designed for advanced learners and researchers, the book delivers a rigorous exploration of continuous time formulations that underpin next generation optimization based control strategies.
Designed for advanced learners and researchers, the book delivers a rigorous exploration of continuous time formulations that underpin next generation optimization based control strategies.
This book addresses a gap in elementary linear algebra: while solving systems of linear equations with multiple solutions is standard, analyzing overdetermined systems with no solution—common in practical applications—is rarely taught.
This book addresses a gap in elementary linear algebra: while solving systems of linear equations with multiple solutions is standard, analyzing overdetermined systems with no solution—common in practical applications—is rarely taught.
This textbook develops a coherent view of differential equations by progressing through a series of typical examples in science and engineering that arise as mathematical models.
This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem.
This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem.
This textbook develops a coherent view of differential equations by progressing through a series of typical examples in science and engineering that arise as mathematical models.
RSA und ECC – die Säulen moderner KryptografieAsymmetrische Verschlüsselungsverfahren wie RSA und Elliptic Curve Kryptografie sind unverzichtbar für sichere digitale Kommunikation.
RSA und ECC – die Säulen moderner KryptografieAsymmetrische Verschlüsselungsverfahren wie RSA und Elliptic Curve Kryptografie sind unverzichtbar für sichere digitale Kommunikation.
This book focuses on theories and applications of mathematics, statistics, and computing, where they intersect to address real-world problems in various industries.
This book focuses on theories and applications of mathematics, statistics, and computing, where they intersect to address real-world problems in various industries.
This book offers an overview of the research results presented by group members and guests of the Ghent Analysis & PDE Center during the weekly Ghent analysis and PDE Seminar in 2023–2024.
This book offers an overview of the research results presented by group members and guests of the Ghent Analysis & PDE Center during the weekly Ghent analysis and PDE Seminar in 2023–2024.
This book brings together a collection of rigorously peer-reviewed chapters that present recent theoretical, methodological, and applied developments in circuits, systems, and related interdisciplinary fields.
This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces.
This book brings together a collection of rigorously peer-reviewed chapters that present recent theoretical, methodological, and applied developments in circuits, systems, and related interdisciplinary fields.
