http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Graduate Student's Guide to Numerical Analysis '98
Lecture Notes from the VIII EPSRC Summer School in Numerical Analysis
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. Recent graduates in mathematical sciences who are considering the possibility of a pursuing research towards a PhD in applied mathematics or numerical analysis should also find this book a very valuable guide.
B. Cockburn: A Simple Introduction to Error Estimation for Nonlinear Hyperbolic Conservation Laws -- N.J. Higham: Notes on Accuracy and Stability of Algorithms in Numerical Linear Algebra -- S. Larsson: Numerical Analysis of Semilinear Parabolic Problems -- R.D. Skeel: Integration schemes for molecular dynamics and related applications -- A. Spence and I.G. Graham: Numerical Methods for Bifurcation Problems -- L.N. Trefethen: Spectra and Pseudospectra.
edited by Mark Ainsworth, Jeremy Levesley, Marco Marletta.
Springer series in computational mathematics ; 26