Practical Course In Differential Equations And Mathematical Modelling A Classical And New Methods Nonlinear Mathematical Models Symmetry And Invariance Principles

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A Practical Course In Differential Equations And Mathematical Modelling
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Author : Nail H. Ibragimov
language : en
Publisher: World Scientific
Release Date : 2009
A Practical Course In Differential Equations And Mathematical Modelling written by Nail H. Ibragimov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author?s own theoretical developments. The book ? which aims to present new mathematical curricula based on symmetry and invariance principles ? is tailored to develop analytic skills and ?working knowledge? in both classical and Lie?s methods for solving linear and nonlinear equations. This approach helps to make courses in differential equations, mathematical modelling, distributions and fundamental solution, etc. easy to follow and interesting for students. The book is based on the author?s extensive teaching experience at Novosibirsk and Moscow universities in Russia, Collge de France, Georgia Tech and Stanford University in the United States, universities in South Africa, Cyprus, Turkey, and Blekinge Institute of Technology (BTH) in Sweden. The new curriculum prepares students for solving modern nonlinear problems and will essentially be more appealing to students compared to the traditional way of teaching mathematics.
Practical Course In Differential Equations And Mathematical Modelling A Classical And New Methods Nonlinear Mathematical Models Symmetry And Invariance Principles
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Author : Nail H Ibragimov
language : en
Publisher: World Scientific Publishing Company
Release Date : 2009-11-19
Practical Course In Differential Equations And Mathematical Modelling A Classical And New Methods Nonlinear Mathematical Models Symmetry And Invariance Principles written by Nail H Ibragimov and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-19 with Mathematics categories.
A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author's own theoretical developments. The book — which aims to present new mathematical curricula based on symmetry and invariance principles — is tailored to develop analytic skills and “working knowledge” in both classical and Lie's methods for solving linear and nonlinear equations. This approach helps to make courses in differential equations, mathematical modelling, distributions and fundamental solution, etc. easy to follow and interesting for students. The book is based on the author's extensive teaching experience at Novosibirsk and Moscow universities in Russia, Collège de France, Georgia Tech and Stanford University in the United States, universities in South Africa, Cyprus, Turkey, and Blekinge Institute of Technology (BTH) in Sweden. The new curriculum prepares students for solving modern nonlinear problems and will essentially be more appealing to students compared to the traditional way of teaching mathematics.
A Practical Course In Differential Equations And Mathematical Modelling
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Author : Nailʹ Khaĭrullovich Ibragimov
language : en
Publisher:
Release Date : 200?
A Practical Course In Differential Equations And Mathematical Modelling written by Nailʹ Khaĭrullovich Ibragimov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 200? with Differential equations categories.
A Practical Course In Differential Equations And Mathematical Modeling
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Author : Nail H. Ibragimov
language : en
Publisher:
Release Date :
A Practical Course In Differential Equations And Mathematical Modeling written by Nail H. Ibragimov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Electronic books categories.
A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author's own theoretical developments. The book which aims to present new mathematical curricula based on symmetry and invariance principles is tailored to develop analytic skills and working knowledge in both classical and Lie's methods for solving linear and nonlinear equations. This approach helps to make courses in differential equations, mathematical modelling, distributions and fundame.
Trends In Differential Equations And Applications
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Author : Francisco Ortegón Gallego
language : en
Publisher: Springer
Release Date : 2016-06-09
Trends In Differential Equations And Applications written by Francisco Ortegón Gallego and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-09 with Mathematics categories.
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 mathematical research related to different branches of applied mathematics. This includes the analysis of nonlinear partial differential equations, exact solutions techniques for ordinary differential equations, numerical analysis and numerical simulation of some models arising in experimental sciences and engineering, control and optimization, and also trending topics on numerical linear Algebra, dynamical systems, and applied mathematics for Industry. This volume is mainly addressed to any researcher interested in the applications of mathematics, especially in any subject mentioned above. It may be also useful to PhD students in applied mathematics, engineering or experimental sciences.
Groups Invariants Integrals And Mathematical Physics
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Author : Maria Ulan
language : en
Publisher: Springer Nature
Release Date : 2023-05-31
Groups Invariants Integrals And Mathematical Physics written by Maria Ulan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-31 with Science categories.
This volume presents lectures given at the Wisła 20-21 Winter School and Workshop: Groups, Invariants, Integrals, and Mathematical Physics, organized by the Baltic Institute of Mathematics. The lectures were dedicated to differential invariants – with a focus on Lie groups, pseudogroups, and their orbit spaces – and Poisson structures in algebra and geometry and are included here as lecture notes comprising the first two chapters. Following this, chapters combine theoretical and applied perspectives to explore topics at the intersection of differential geometry, differential equations, and category theory. Specific topics covered include: The multisymplectic and variational nature of Monge-Ampère equations in dimension four Integrability of fifth-order equations admitting a Lie symmetry algebra Applications of the van Kampen theorem for groupoids to computation of homotopy types of striped surfaces A geometric framework to compare classical systems of PDEs in the category of smooth manifolds Groups, Invariants, Integrals, and Mathematical Physics is ideal for graduate students and researchers working in these areas. A basic understanding of differential geometry and category theory is assumed.
Analytical Methods In Differential Equations
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Author : Sergey V. Meleshko
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2025-02-17
Analytical Methods In Differential Equations written by Sergey V. Meleshko and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-17 with Mathematics categories.
The book compiles papers presented at the International Conference 'Advances in Applications of Analytical Methods in Solving Differential Equations', held in honour of Academician Lev V. Ovsiannikov’s 105th birthday anniversary. This collection reflects his extensive contributions to the theory of differential equations, modelling, and the application of analytical methods. In addition to classical methods such as analytical integration of systems of equations and their applications in various fields of Science and Engineering, the book explores new areas of research. This includes the application of group analysis to novel mathematical models and nonlinear problems, particularly equations with nonlocal terms (symmetries of difference and differential equations, as well as fractional differential equations). One of the notable contributions in the book is the development of a Hamiltonian approach for delay differential equations, representing a novel area of research that has not been previously explored. The book is anticipated to appeal to a broad audience of experts in applied mathematics, fluid dynamics, and modelling, as well as to young scientists and graduate students interested in the analysis of nonlinear equations.
Nonlinear Systems And Their Remarkable Mathematical Structures
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Author : Norbert Euler
language : en
Publisher: CRC Press
Release Date : 2019-12-06
Nonlinear Systems And Their Remarkable Mathematical Structures written by Norbert Euler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-06 with Mathematics categories.
Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). This book aims to clearly illustrate the mathematical theories of nonlinear systems and its progress to both non-experts and active researchers in this area. Just like the first volume, this book is suitable for graduate students in mathematics, applied mathematics and engineering sciences, as well as for researchers in the subject of differential equations and dynamical systems. Features Collects contributions on recent advances in the subject of nonlinear systems Aims to make the advanced mathematical methods accessible to the non-experts Suitable for a broad readership including researchers and graduate students in mathematics and applied mathematics
A Practical Course In Differential Equations And Mathematical Modelling
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Author : Nail H. Ibragimov
language : en
Publisher:
Release Date : 2004
A Practical Course In Differential Equations And Mathematical Modelling written by Nail H. Ibragimov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Differentialgleichungen Und Mathematische Modellbildung
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Author : Nail H. Ibragimov
language : de
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-12-18
Differentialgleichungen Und Mathematische Modellbildung written by Nail H. Ibragimov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-18 with Mathematics categories.
Dieses Lehrbuch führt in das Gebiet der Differentialgleichungen und der mathematischen Modellbildung ein. Dabei werden etablierte und moderne Rechenmethoden besprochen und es wird erläutert, wie diese zur mathematischen Modellierung benutzt werden können. Lie-Gruppen und deren Einsatz zur Lösung von Differentialgleichungen spielen dabei eine tragende Rolle. Es werden gewöhnliche und partielle Differentialgleichungen verschiedener Ordnung behandelt, aus denen individuell Beispiele ausgewählt werden können. In seinem modularen und einfach zu folgenden Aufbau ist dieses Buch ideal für Studenten und Wissenschaftler, die mit mathematischen Modellen umgehen müssen. Inhalt Ausgewählte Kapitel der Analysis Mathematische Modelle Gewöhnliche Differentialgleichungen, traditionelle Lösungsmethoden Partielle Differentialgleichungen erster Ordnung Lineare partielle Differentialgleichungen zweiter Ordnung Nichtlineare gewöhnliche Differentialgleichungen Nichtlineare Partielle Differentialgleichungen Verallgemeinerte Funktionen oder Distributionen Invarianzprinzip und Fundamentallösung