Ebook: Frontiers in Numerical Analysis: Durham 2002
- Tags: Numerical Analysis, Analysis, Computational Mathematics and Numerical Analysis, Computational Science and Engineering
- Series: Universitext
- Year: 2003
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
This book contains detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis and proceed to current research topics. The reader should therefore be able to gain quickly an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians who require a succint and accurate account of recent research in areas parallel to their own and graduates in mathematical sciences.
This book contains detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis and proceed to current research topics. The reader should therefore be able to gain quickly an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians who require a succint and accurate account of recent research in areas parallel to their own and graduates in mathematical sciences.
This book contains detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis and proceed to current research topics. The reader should therefore be able to gain quickly an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians who require a succint and accurate account of recent research in areas parallel to their own and graduates in mathematical sciences.
Content:
Front Matter....Pages I-XIII
Subgrid Phenomena and Numerical Schemes....Pages 1-16
Stability of Saddle-Points in Finite Dimensions....Pages 17-61
Mean Curvature Flow and Related Topics....Pages 63-108
An Introduction to Algorithms for Nonlinear Optimization....Pages 109-197
GniCodes — Matlab Programs for Geometric Numerical Integration....Pages 199-240
Numerical Approximations to Multiscale Solutions in Partial Differential Equations....Pages 241-301
Numerical Methods for Eigenvalue and Control Problems....Pages 303-349
Back Matter....Pages 351-353
This book contains detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis and proceed to current research topics. The reader should therefore be able to gain quickly an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians who require a succint and accurate account of recent research in areas parallel to their own and graduates in mathematical sciences.
Content:
Front Matter....Pages I-XIII
Subgrid Phenomena and Numerical Schemes....Pages 1-16
Stability of Saddle-Points in Finite Dimensions....Pages 17-61
Mean Curvature Flow and Related Topics....Pages 63-108
An Introduction to Algorithms for Nonlinear Optimization....Pages 109-197
GniCodes — Matlab Programs for Geometric Numerical Integration....Pages 199-240
Numerical Approximations to Multiscale Solutions in Partial Differential Equations....Pages 241-301
Numerical Methods for Eigenvalue and Control Problems....Pages 303-349
Back Matter....Pages 351-353
....