Geometry and Arithmetic Around Euler Partial Differential Equations
Author: R.-P. Holzapfel
Publisher: Springer
Published: 1986-08-31
Total Pages: 192
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: R.-P. Holzapfel
Publisher: Springer
Published: 1986-08-31
Total Pages: 192
ISBN-13:
DOWNLOAD EBOOKAuthor: Rolf-Peter Holzapfel
Publisher:
Published: 1986
Total Pages: 184
ISBN-13: 9783817112814
DOWNLOAD EBOOKAuthor: Rolf-Peter Holzapfel
Publisher:
Published: 1986
Total Pages: 184
ISBN-13: 9783326000138
DOWNLOAD EBOOKAuthor: R.-P. Holzapfel
Publisher: Springer
Published: 1986-08-31
Total Pages: 192
ISBN-13:
DOWNLOAD EBOOKAuthor: Antonin Chambolle
Publisher: Springer Science & Business Media
Published: 2014-01-17
Total Pages: 276
ISBN-13: 8876424733
DOWNLOAD EBOOKThis book is the outcome of a conference held at the Centro De Giorgi of the Scuola Normale of Pisa in September 2012. The aim of the conference was to discuss recent results on nonlinear partial differential equations, and more specifically geometric evolutions and reaction-diffusion equations. Particular attention was paid to self-similar solutions, such as solitons and travelling waves, asymptotic behaviour, formation of singularities and qualitative properties of solutions. These problems arise in many models from Physics, Biology, Image Processing and Applied Mathematics in general, and have attracted a lot of attention in recent years.
Author:
Publisher: Elsevier
Published: 2020-01-14
Total Pages: 710
ISBN-13: 0444640045
DOWNLOAD EBOOKBesides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering. About every aspect of computational geometric PDEs is discussed in this and a companion volume. Topics in this volume include stationary and time-dependent surface PDEs for geometric flows, large deformations of nonlinearly geometric plates and rods, level set and phase field methods and applications, free boundary problems, discrete Riemannian calculus and morphing, fully nonlinear PDEs including Monge-Ampere equations, and PDE constrained optimization Each chapter is a complete essay at the research level but accessible to junior researchers and students. The intent is to provide a comprehensive description of algorithms and their analysis for a specific geometric PDE class, starting from basic concepts and concluding with interesting applications. Each chapter is thus useful as an introduction to a research area as well as a teaching resource, and provides numerous pointers to the literature for further reading The authors of each chapter are world leaders in their field of expertise and skillful writers. This book is thus meant to provide an invaluable, readable and enjoyable account of computational geometric PDEs
Author: Peter Charles Greiner
Publisher: American Mathematical Soc.
Published: 1997
Total Pages: 327
ISBN-13: 0821806874
DOWNLOAD EBOOKPresents lectures given at the 1995 Annual Seminar of the Canadian Mathematical Society on Partial Differential Equations and Their Applications held at the University of Toronto in June 1995. This volume includes contributions on a variety of topics related to PDE, such as spectral asymptotics, harmonic analysis, and applications to geometry.
Author: P.H. Kersten
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 346
ISBN-13: 9400901798
DOWNLOAD EBOOKThe geometrical theory of nonlinear differential equations originates from classical works by S. Lie and A. Bäcklund. It obtained a new impulse in the sixties when the complete integrability of the Korteweg-de Vries equation was found and it became clear that some basic and quite general geometrical and algebraic structures govern this property of integrability. Nowadays the geometrical and algebraic approach to partial differential equations constitutes a special branch of modern mathematics. In 1993, a workshop on algebra and geometry of differential equations took place at the University of Twente (The Netherlands), where the state-of-the-art of the main problems was fixed. This book contains a collection of invited lectures presented at this workshop. The material presented is of interest to those who work in pure and applied mathematics and especially in mathematical physics.
Author: Alexander Grigor'yan
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2021-01-18
Total Pages: 526
ISBN-13: 311070076X
DOWNLOAD EBOOKThe book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in connection with the geometry of the underlying space. Written by experts in the field, this book is a valuable tool for the advanced mathematician.
Author: Andrea Bonito
Publisher: Elsevier
Published: 2021-01-26
Total Pages: 572
ISBN-13: 0444643060
DOWNLOAD EBOOKBesides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering. About every aspect of computational geometric PDEs is discussed in this and a companion volume. Topics in this volume include stationary and time-dependent surface PDEs for geometric flows, large deformations of nonlinearly geometric plates and rods, level set and phase field methods and applications, free boundary problems, discrete Riemannian calculus and morphing, fully nonlinear PDEs including Monge-Ampere equations, and PDE constrained optimization Each chapter is a complete essay at the research level but accessible to junior researchers and students. The intent is to provide a comprehensive description of algorithms and their analysis for a specific geometric PDE class, starting from basic concepts and concluding with interesting applications. Each chapter is thus useful as an introduction to a research area as well as a teaching resource, and provides numerous pointers to the literature for further reading The authors of each chapter are world leaders in their field of expertise and skillful writers. This book is thus meant to provide an invaluable, readable and enjoyable account of computational geometric PDEs