Geometric Partial Differential Equations - Part I

Andrea Bonito · Ricardo Horacio Nochetto

2020 urt. · Handbook of Numerical Analysis 21. liburua · Elsevier

Liburu elektronikoa

710

orri

Egokia

Balorazioak eta iritziak ez daude egiaztatuta Lortu informazio gehiago

Liburu elektroniko honi buruz

Besides 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

Egileari buruz

Andrea Bonito is professor in the Department of Mathematics at Texas A&M University.Together with Ricardo H. Nochetto they have more than forty years of experience in the variational formulation and approximation of a wide range of geometric partial differential equations (PDEs). Their work encompass fundamental studies of numerical PDEs: the design, analysis and implementation of efficient numerical algorithms for the approximation of PDEs; and their applications in modern engineering, science, and bio-medical problems.

Ricardo H. Nochetto is professor in the Department of Mathematics and the Institute for Physical Science and Technology at the University of Maryland, College Park.Together with Andrea Bonito they have more than forty years of experience in the variational formulation and approximation of a wide range of geometric partial differential equations (PDEs). Their work encompass fundamental studies of numerical PDEs: the design, analysis and implementation of efficient numerical algorithms for the approximation of PDEs; and their applications in modern engineering, science, and bio-medical problems.

Baloratu liburu elektroniko hau

Eman iezaguzu iritzia.

Irakurtzeko informazioa

Telefono adimendunak eta tabletak

Instalatu Android eta iPad/iPhone gailuetarako Google Play Liburuak aplikazioa. Zure kontuarekin automatikoki sinkronizatzen da, eta konexioarekin nahiz gabe irakurri ahal izango dituzu liburuak, edonon zaudela ere.

Ordenagailu eramangarriak eta mahaigainekoak

Google Play-n erositako audio-liburuak entzuteko aukera ematen du ordenagailuko web-arakatzailearen bidez.

Irakurgailu elektronikoak eta bestelako gailuak

Tinta elektronikoa duten gailuetan (adibidez, Kobo-ko irakurgailu elektronikoak) liburuak irakurtzeko, fitxategi bat deskargatu beharko duzu, eta hura gailura transferitu. Jarraitu laguntza-zentroko argibide xehatuei fitxategiak irakurgailu elektroniko bateragarrietara transferitzeko.

Salatu legez kanpoko edukia