Lectures on Variational Analysis by Asen L Dontchev
This book presents an introduction to variational analysis, a field which unifies theories and techniques developed in calculus of variations, optimization, and control, and covers convex analysis, nonsmooth analysis, and set-valued analysis.-
A Practical Guide to Splines
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Fractional Differential Equations
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Partial Differential Equations II
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Elliptic Functions and Applications
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Dynamics: Numerical Explorations
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Averaging for Nonlinear Dynamics with Applications and Numerical Bifurcations
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Direct and Inverse Scattering for the Matrix Schrodinger Equation
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Imperfect Bifurcation in Structures and Materials
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Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems
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Exact and Heuristic Methods in Combinatorial Optimization
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Optimal Control of Partial Differential Equations
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Applications of Percolation Theory
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Falling Liquid Films
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Nonlinear Filtering and Optimal Phase Tracking
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Mathematical Problems in Image Processing
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Fluid Dynamics of Viscoelastic Liquids
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An Introduction to Theory and Applications of Stationary Variational-Hemivariational Inequalities
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The Geometry of Minkowski Spacetime
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Level Set Methods and Dynamic Implicit Surfaces
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Brownian Dynamics at Boundaries and Interfaces
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Adaptive Moving Mesh Methods
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Nonlinear Functional Analysis with Applications to Combustion Theory
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Dynamical Systems and Chaos
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Bifurcation Theory
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Nonlinear Dispersive Equations
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Infinite-Dimensional Dynamical Systems in Mechanics and Physics
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Transient Chaos
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Chaos, Fractals, and Noise
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Mathematical Problems from Combustion Theory
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Linear Integral Equations
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Singularities and Groups in Bifurcation Theory
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Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles
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Applied Functional Analysis
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Robust Control Theory in Hilbert Space
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Invariant Manifolds and Fibrations for Perturbed Nonlinear Schroedinger Equations
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Normally Hyperbolic Invariant Manifolds in Dynamical Systems
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Prandtl-Essentials of Fluid Mechanics
“The book concludes with an 80-item bibliography accompanied by notes on sources of further information on the topics and theorems of each lectureThe book gives a concise, elegant introduction to fundamental concepts, techniques and theorems in variational analysis and will be helpful for both graduate students and more experienced researchers in the field.” (Doug Ward, Mathematical Reviews, May, 2023)
“This is a very nice book and can be recommended to everybody who is interested in variational analysis. All along the book, we see an effort to make accessible sometimes difficult notions and proofs, this book being a model to follow when preparing a graduate course.” (Nicolae Cîndea, zbMATH 1490.49002, 2022)
“This is a very nice book and can be recommended to everybody who is interested in variational analysis. All along the book, we see an effort to make accessible sometimes difficult notions and proofs, this book being a model to follow when preparing a graduate course.” (Nicolae Cîndea, zbMATH 1490.49002, 2022)
Asen L. Dontchev is a Professor at the Department of Mathematics at the University of Michigan. R. Tyrrell Rockafellar is a Professor at the Department of Mathematics at the University of Washington and at the Department of Industrial and Systems Engineering at the University of Florida.
| SKU | Unavailable |
| ISBN 13 | 9783030799137 |
| ISBN 10 | 3030799131 |
| Title | Lectures on Variational Analysis |
| Author | Asen L Dontchev |
| Series | Applied Mathematical Sciences |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Nature Switzerland AG |
| Year published | 2023-02-05 |
| Number of pages | 219 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |