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Geometry, Mechanics, and Dynamics
This book illustrates the broad range of Jerry Marsden’s mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective. Each contribution develops its material from the viewpoint of geometric mechanics beginning at the very foundations, introducing readers to modern issues via illustrations in a wide rang…
- Edition
- -
- ISBN/ISSN
- 978-1-4939-2440-0
- Collation
- VIII, 506
- Series Title
- -
- Call Number
- 516 GEO
Geometry of Hypersurfaces
This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special emphasis is placed on isoparametric and Dupin hypersurfaces in real space forms as well as Hopf hypersurfaces in complex space forms. The book is accessible to a reader who has completed a one-year graduate course in differential geometry. The text,…
- Edition
- -
- ISBN/ISSN
- 978-1-4939-3245-0
- Collation
- XI, 596
- Series Title
- -
- Call Number
- 516
Geometry of Cauchy-Riemann Submanifolds
This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds. CR structures are a bundle theoretic recast of the tangential Cauchy–Riemann equations in complex analysis involving several complex variables. The book covers a wide range of topics such a…
- Edition
- -
- ISBN/ISSN
- 978-981-10-0915-0
- Collation
- -
- Series Title
- -
- Call Number
- 516
Essential Partial Differential Equations Analytical and Computational Aspects
This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and …
- Edition
- -
- ISBN/ISSN
- 978-3-319-22569-2
- Collation
- 105 b/w illustrations, 1 illustrations in colour
- Series Title
- -
- Call Number
- -
Geometry and Analysis on Manifolds
This volume is dedicated to the memory of Shoshichi Kobayashi, and gathers contributions from distinguished researchers working on topics close to his research areas. The book is organized into three parts, with the first part presenting an overview of Professor Shoshichi Kobayashi’s career. This is followed by two expository course lectures (the second part) on recent topics in extremal Käh…
- Edition
- -
- ISBN/ISSN
- 978-3-319-11522-1
- Collation
- -
- Series Title
- -
- Call Number
- 516 GEO
Geometric Properties for Parabolic and Elliptic PDE's
This book collects recent research papers by respected specialists in the field. It presents advances in the field of geometric properties for parabolic and elliptic partial differential equations, an area that has always attracted great attention. It settles the basic issues (existence, uniqueness, stability and regularity of solutions of initial/boundary value problems) before focusing on the…
- Edition
- -
- ISBN/ISSN
- 978-3-319-41536-9
- Collation
- -
- Series Title
- -
- Call Number
- 516 GEO
Error Estimates for Well-Balanced Schemes on Simple Balance Laws One-Dimensi…
This monograph presents, in an attractive and self-contained form, techniques based on the L1 stability theory derived at the end of the 1990s by A. Bressan, T.-P. Liu and T. Yang that yield original error estimates for so-called well-balanced numerical schemes solving 1D hyperbolic systems of balance laws. Rigorous error estimates are presented for both scalar balance laws and a position-depen…
- Edition
- -
- ISBN/ISSN
- 978-3-319-24785-4
- Collation
- 9 b/w illustrations, 15 illustrations in colour
- Series Title
- -
- Call Number
- -
Inverse Problems in Ordinary Differential Equations and Applications
This book is dedicated to study the inverse problem of ordinary differential equations, that is it focuses in finding all ordinary differential equations that satisfy a given set of properties. The Nambu bracket is the central tool in developing this approach. The authors start characterizing the ordinary differential equations in R^N which have a given set of partial integrals or first integra…
- Edition
- -
- ISBN/ISSN
- 978-3-319-26339-7
- Collation
- -
- Series Title
- -
- Call Number
- -
Geometric Methods in PDE’s
The analysis of PDEs is a prominent discipline in mathematics research, both in terms of its theoretical aspects and its relevance in applications. In recent years, the geometric properties of linear and nonlinear second order PDEs of elliptic and parabolic type have been extensively studied by many outstanding researchers. This book collects contributions from a selected group of leading exper…
- Edition
- -
- ISBN/ISSN
- 978-3-319-02665-7
- Collation
- XIII, 373
- Series Title
- -
- Call Number
- 516 GEO
Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows
The focus of this monograph is the development of space-time adaptive methods to solve the convection/reaction dominated non-stationary semi-linear advection diffusion reaction (ADR) equations with internal/boundary layers in an accurate and efficient way. After introducing the ADR equations and discontinuous Galerkin discretization, robust residual-based a posteriori error estimators in space…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-30130-3
- Collation
- IX, 105
- Series Title
- Lecture Notes in Geosystems Mathematics and Computing
- Call Number
- 515.3 UZU a
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