The Concept of Stability in Numerical Mathematics

Reviews / Votes

"The contents are presented in a way that is
accessible to graduate students who may use the book for self-study of the
topic, and it can easily be used as a textbook for a corresponding lecture
series. Moreover, advanced researchers in numerical mathematics are likely to
benefit from reading it, in particular because the book provides interesting
insight into how stability relates to areas other than their own particular
specialization field. ... also useful reading material for numerical software
developers." (Kai Diethelm, Computing Reviews, October, 2015)

"This book is concerned with stability properties in
various areas of numerical mathematics, and their strong connection with
convergence of numerical algorithms. As a side effect, any parts of numerical
analysis are reviewed in the course of the stability discussions. The book aims
in particular at master and Ph.D. students." (M. Plum, zbMATH 1321.65139, 2015)

"This nontraditional book by Hackbusch (Max Planck Institute for Mathematics in the Sciences, Germany) headlines the abstract stability concept. ... ultimately serves a broad but unusually thoughtful introduction to (or reexamination of) numerical analysis. Summing Up: Recommended. Upper-division undergraduates and above." (D. V. Feldman, Choice, Vol. 52 (4), December, 2014)

"It is the perfect complement to a lecture series on numerical analysis, starting with stability of finite arithmetic, quadrature and interpolation, followed by ODE, time-dependent PDE, Elliptic PDE, and integral equations. ... All chapters are presented self-contained with separate reference list, so that they can be studied independently. ... it is highly recommended for all lectures and all students in applied and numerical mathematics." (Christian Wieners, Zeitschrift fuer Angewandte Mathematik und Mechanik, Vol. 94 (9), 2014)
 

"The contents are presented in a way that is
accessible to graduate students who may use the book for self-study of the
topic, and it can easily be used as a textbook for a corresponding lecture
series. Moreover, advanced researchers in numerical mathematics are likely to
benefit from reading it, in particular because the book provides interesting
insight into how stability relates to areas other than their own particular
specialization field. ... also useful reading material for numerical software
developers." (Kai Diethelm, Computing Reviews, October, 2015)

"This book is concerned with stability properties in
various areas of numerical mathematics, and their strong connection with
convergence of numerical algorithms. As a side effect, any parts of numerical
analysis are reviewed in the course of the stability discussions. The book aims
in particular at master and Ph.D. students." (M. Plum, zbMATH 1321.65139, 2015)

"This nontraditional book by Hackbusch (Max Planck Institute for Mathematics in the Sciences, Germany) headlines the abstract stability concept. ... ultimately serves a broad but unusually thoughtful introduction to (or reexamination of) numerical analysis. Summing Up: Recommended. Upper-division undergraduates and above." (D. V. Feldman, Choice, Vol. 52 (4), December, 2014)

"It is the perfect complement to a lecture series on numerical analysis, starting with stability of finite arithmetic, quadrature and interpolation, followed by ODE, time-dependent PDE, Elliptic PDE, and integral equations. ... All chapters are presented self-contained with separate reference list, so that they can be studied independently. ... it is highly recommended for all lectures and all students in applied and numerical mathematics." (Christian Wieners, Zeitschrift fuer Angewandte Mathematik und Mechanik, Vol. 94 (9), 2014)