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Geometric Partial Differential Equations - Part I by Andrea Bonito (Professor, Department of Mathematics, Texas A&M University, USA) at Abbey's Bookshop,
Geometric Partial Differential Equations - Part I
— —
Andrea Bonito (Professor, Department of Mathematics, Texas A&M University, USA) Ricardo Horacio Nochetto (Professor, Department of Mathematics and the Institute for Physical Science and Technology, Institute for Physical Science and Technology, University of Maryland, USA)

Geometric Partial Differential Equations - Part I

Andrea Bonito (Professor, Department of Mathematics, Texas A&M University, USA),  Ricardo Horacio Nochetto (Professor, Department of Mathematics and the Institute for Physical Science and Technology, Institute for Physical Science and Technology, University of Maryland, USA)

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English
North-Holland
20 January 2020
Differential calculus & equations; Numerical analysis
Series: Handbook of Numerical Analysis
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.
Volume editor:   , , , , ,
Imprint:   North-Holland
Country of Publication:   United States
Dimensions:   Height: 229mm,  Width: 151mm, 
Weight:   1.220kg
ISBN:   9780444640031
ISBN 10:   0444640037
Series:   Handbook of Numerical Analysis
Pages:   710
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
1. Finite element methods for the Laplace-Beltrami operator Andrea Bonito, Alan Demlow and Ricardo H. Nochetto 2. The Monge–Ampère equation Michael Neilan, Abner J. Salgado and Wujun Zhang 3. Finite element simulation of nonlinear bending models for thin elastic rods and plates Sören Bartels 4. Parametric finite element approximations of curvature-driven interface evolutions John W. Barrett, Harald Garcke and Robert Nürnberg 5. The phase field method for geometric moving interfaces and their numerical approximations Qiang Du and Xiaobing Feng 6. A review of level set methods to model interfaces moving under complex physics: Recent challenges and advances Robert I. Saye and James A. Sethian 7. Free boundary problems in fluids and materials Eberhard Bänsch and Alfred Schmidt 8. Discrete Riemannian calculus on shell space Behrend Heeren, Martin Rumpf, Max Wardetzky and Benedikt Wirth

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.

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