Modern Problems In Pdes And Applications
Download Modern Problems In Pdes And Applications full books in PDF, epub, and Kindle. Read online free Modern Problems In Pdes And Applications ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Marianna Chatzakou |
Publisher | : Springer Nature |
Total Pages | : 187 |
Release | : 2024 |
Genre | : Differential equations, Partial |
ISBN | : 3031567323 |
Download Modern Problems in PDEs and Applications Book in PDF, Epub and Kindle
The principal aim of the volume is gathering all the contributions given by the speakers (mini courses) and some of the participants (short talks) of the summer school "Modern Problems in PDEs and Applications" held at the Ghent Analysis and PDE Center from 23 August to 2 September 2023. The school was devoted to the study of new techniques and approaches for solving partial differential equations, which can either be considered or arise from the physical point of view or the mathematical perspective. Both sides are extremely important since theories and methods can be developed independently, aiming to gather each other in a common objective. The aim of the summer school was to progress and advance in the problems considered. Note that real-world problems and their applications are classical study trends in physical or mathematical modelling. The summer school was organised in a friendly atmosphere and synergy, and it was an excellent opportunity to promote and encourage the development of the subject in the community.
Author | : Marianna Chatzakou |
Publisher | : Birkhäuser |
Total Pages | : 0 |
Release | : 2024-05-26 |
Genre | : Mathematics |
ISBN | : 9783031567315 |
Download Modern Problems in PDEs and Applications Book in PDF, Epub and Kindle
The principal aim of the volume is gathering all the contributions given by the speakers (mini courses) and some of the participants (short talks) of the summer school "Modern Problems in PDEs and Applications" held at the Ghent Analysis and PDE Center from 23 August to 2 September 2023. The school was devoted to the study of new techniques and approaches for solving partial differential equations, which can either be considered or arise from the physical point of view or the mathematical perspective. Both sides are extremely important since theories and methods can be developed independently, aiming to gather each other in a common objective. The aim of the summer school was to progress and advance in the problems considered. Note that real-world problems and their applications are classical study trends in physical or mathematical modelling. The summer school was organised in a friendly atmosphere and synergy, and it was an excellent opportunity to promote and encourage the development of the subject in the community.
Author | : Tomás Roubicek |
Publisher | : Springer Science & Business Media |
Total Pages | : 415 |
Release | : 2006-01-17 |
Genre | : Mathematics |
ISBN | : 3764373970 |
Download Nonlinear Partial Differential Equations with Applications Book in PDF, Epub and Kindle
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition quickly leads general theory to analysis of concrete equations, which have specific applications in such areas as electrically (semi-) conductive media, modeling of biological systems, and mechanical engineering. Methods of Galerkin or of Rothe are exposed in a large generality.
Author | : E. C. Zachmanoglou |
Publisher | : Courier Corporation |
Total Pages | : 434 |
Release | : 2012-04-20 |
Genre | : Mathematics |
ISBN | : 048613217X |
Download Introduction to Partial Differential Equations with Applications Book in PDF, Epub and Kindle
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
Author | : T. Hillen |
Publisher | : FriesenPress |
Total Pages | : 683 |
Release | : 2019-05-15 |
Genre | : Mathematics |
ISBN | : 1525550241 |
Download Partial Differential Equations Book in PDF, Epub and Kindle
Provides more than 150 fully solved problems for linear partial differential equations and boundary value problems. Partial Differential Equations: Theory and Completely Solved Problems offers a modern introduction into the theory and applications of linear partial differential equations (PDEs). It is the material for a typical third year university course in PDEs. The material of this textbook has been extensively class tested over a period of 20 years in about 60 separate classes. The book is divided into two parts. Part I contains the Theory part and covers topics such as a classification of second order PDEs, physical and biological derivations of the heat, wave and Laplace equations, separation of variables, Fourier series, D’Alembert’s principle, Sturm-Liouville theory, special functions, Fourier transforms and the method of characteristics. Part II contains more than 150 fully solved problems, which are ranked according to their difficulty. The last two chapters include sample Midterm and Final exams for this course with full solutions.
Author | : Randall J. LeVeque |
Publisher | : SIAM |
Total Pages | : 356 |
Release | : 2007-01-01 |
Genre | : Mathematics |
ISBN | : 9780898717839 |
Download Finite Difference Methods for Ordinary and Partial Differential Equations Book in PDF, Epub and Kindle
This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.
Author | : Peter Markowich |
Publisher | : Springer Science & Business Media |
Total Pages | : 210 |
Release | : 2007-08-06 |
Genre | : Mathematics |
ISBN | : 3540346465 |
Download Applied Partial Differential Equations: Book in PDF, Epub and Kindle
This book presents topics of science and engineering which occur in nature or are part of daily life. It describes phenomena which are modelled by partial differential equations, relating to physical variables like mass, velocity and energy, etc. to their spatial and temporal variations. The author has chosen topics representing his career-long interests, including the flow of fluids and gases, granular flows, biological processes like pattern formation on animal skins, kinetics of rarified gases and semiconductor devices. Each topic is presented in its scientific or engineering context, followed by an introduction of applicable mathematical models in the form of partial differential equations.
Author | : Michael Shearer |
Publisher | : Princeton University Press |
Total Pages | : 286 |
Release | : 2015-03-01 |
Genre | : Mathematics |
ISBN | : 0691161291 |
Download Partial Differential Equations Book in PDF, Epub and Kindle
An accessible yet rigorous introduction to partial differential equations This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and applications. The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis. Topics include first order equations and the method of characteristics, second order linear equations, wave and heat equations, Laplace and Poisson equations, and separation of variables. The book also covers fundamental solutions, Green's functions and distributions, beginning functional analysis applied to elliptic PDEs, traveling wave solutions of selected parabolic PDEs, and scalar conservation laws and systems of hyperbolic PDEs. Provides an accessible yet rigorous introduction to partial differential equations Draws connections to advanced topics in analysis Covers applications to continuum mechanics An electronic solutions manual is available only to professors An online illustration package is available to professors
Author | : Michael Hinze |
Publisher | : Springer Science & Business Media |
Total Pages | : 279 |
Release | : 2008-10-16 |
Genre | : Mathematics |
ISBN | : 1402088396 |
Download Optimization with PDE Constraints Book in PDF, Epub and Kindle
Solving optimization problems subject to constraints given in terms of partial d- ferential equations (PDEs) with additional constraints on the controls and/or states is one of the most challenging problems in the context of industrial, medical and economical applications, where the transition from model-based numerical si- lations to model-based design and optimal control is crucial. For the treatment of such optimization problems the interaction of optimization techniques and num- ical simulation plays a central role. After proper discretization, the number of op- 3 10 timization variables varies between 10 and 10 . It is only very recently that the enormous advances in computing power have made it possible to attack problems of this size. However, in order to accomplish this task it is crucial to utilize and f- ther explore the speci?c mathematical structure of optimization problems with PDE constraints, and to develop new mathematical approaches concerning mathematical analysis, structure exploiting algorithms, and discretization, with a special focus on prototype applications. The present book provides a modern introduction to the rapidly developing ma- ematical ?eld of optimization with PDE constraints. The ?rst chapter introduces to the analytical background and optimality theory for optimization problems with PDEs. Optimization problems with PDE-constraints are posed in in?nite dim- sional spaces. Therefore, functional analytic techniques, function space theory, as well as existence- and uniqueness results for the underlying PDE are essential to study the existence of optimal solutions and to derive optimality conditions.
Author | : Martin Schechter |
Publisher | : Courier Corporation |
Total Pages | : 259 |
Release | : 2014-01-15 |
Genre | : Mathematics |
ISBN | : 0486492966 |
Download Modern Methods in Partial Differential Equations Book in PDF, Epub and Kindle
When first published in 1977, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Now it remains a permanent, much-cited contribution to the ever-expanding literature.