03376nmm a2200337 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100003000139245021800169250001700387260006300404300004100467505100200508653002601510653002301536653002301559653002701582653001301609700003101622700003001653710003401683041001901717989003801736490004901774856007201823082000801895520113501903EB000686485EBX0100000000000000053956700000000000000.0cr|||||||||||||||||||||140122 ||| eng a97836620397241 aAinsworth, Marke[editor]00aThe Graduate Student’s Guide to Numerical Analysis ’98hElektronische RessourcebLecture Notes from the VIII EPSRC Summer School in Numerical Analysiscedited by Mark Ainsworth, Jeremy Levesley, Marco Marletta a1st ed. 1999 aBerlin, HeidelbergbSpringer Berlin Heidelbergc1999, 1999 aXI, 252 p. 22 illusbonline resource0 aA Simple Introduction to Error Estimation for Nonlinear Hyperbolic Conservation Laws -- 1 Introduction -- 2 Some Convection-Diffusion Problems -- 3 Continuous Dependence for Nonlinear Convection-Diffusion -- 4 Continuous Dependence for Nonlinear Convection -- 5 A Posteriori Error Estimates for Continuous Approximations -- 6 A Posteriori Error Estimates for Discontinuous Approximations -- 7 Concluding Remarks -- Notes on Accuracy and Stability of Algorithms in Numerical Linear Algebra -- 1 Introduction -- 2 Preliminaries -- 3 Symmetric Indefinite Systems -- 4 QR Factorization and Constrained Least Squares Problems -- 5 The Singular Value Decomposition and Jacobi’s Method -- Numerical Analysis of Semilinear Parabolic Problems -- 1 The Continuous Problem -- 2 Local a Priori Error Estimates -- 3 Shadowing—First Approach -- 4 A Posteriori Error Estimates -- 5 Shadowing—Second Approach -- Integration Schemes for Molecular Dynamics and Related Applications -- 1 Introduction -- 2 Newt aMathematical analysis aNumerical analysis aNumerical Analysis aAnalysis (Mathematics) aAnalysis1 aLevesley, Jeremye[editor]1 aMarletta, Marcoe[editor]2 aSpringerLink (Online service)07aeng2ISO 639-2 bSBAaSpringer Book Archives -20040 aSpringer Series in Computational Mathematics uhttps://doi.org/10.1007/978-3-662-03972-4?nosfx=yxVerlag3Volltext0 a518 aThis 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