By Robert Corless,Nicolas Fillion
This ebook presents an in depth advent to numerical computing from the perspective of backward errors research. The meant viewers contains scholars and researchers in technology, engineering and arithmetic. The technique taken is a bit of casual as a result of the big variety of backgrounds of the readers, however the imperative principles of backward blunders and sensitivity (conditioning) are systematically emphasised. The publication is split into 4 components: half I presents the historical past preliminaries together with floating-point mathematics, polynomials and desktop review of services; half II covers numerical linear algebra; half III covers interpolation, the FFT and quadrature; and half IV covers numerical strategies of differential equations together with initial-value difficulties, boundary-value difficulties, hold up differential equations and a short bankruptcy on partial differential equations.
The booklet includes certain illustrations, bankruptcy summaries and quite a few workouts to boot a few Matlab codes supplied on-line as supplementary material.
“I rather just like the concentrate on backward errors research and situation. this can be novel in a textbook and a pragmatic strategy that would deliver welcome attention." Lawrence F. Shampine
A Graduate creation to Numerical equipment and Backward errors research” has been chosen through Computing reports as a outstanding ebook in computing in 2013. Computing experiences better of 2013 record contains e-book and article nominations from reviewers, CR type editors, the editors-in-chief of journals, and others within the computing community.
Read or Download A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis PDF
Best number systems books
This booklet provides the state of the art in modelling and simulation on supercomputers. top German researchers current effects completed on platforms of the excessive functionality Computing heart Stuttgart (HLRS) for the 12 months 2005. The experiences disguise all fields of computational technology and engineering, starting from CFD through computational physics and chemistry to machine technology.
This booklet collects refereed lectures and communications awarded on the unfastened Boundary difficulties convention (FBP2005). those speak about the maths of a large classification of types and difficulties concerning nonlinear partial differential equations coming up in physics, engineering, biology and finance. between different themes, the talks thought of loose boundary difficulties in biomedicine, in porous media, in thermodynamic modeling, in fluid mechanics, in photograph processing, in monetary arithmetic or in computations for inter-scale difficulties.
This ebook combines idea, functions, and numerical equipment, and covers every one of those fields with a similar weight. so one can make the booklet obtainable to mathematicians, physicists, and engineers alike, the writer has made it as self-contained as attainable, requiring just a stable beginning in differential and essential calculus.
This e-book provides a accomplished evaluation of the modeling of advanced fluids, together with many universal ingredients, similar to toothpaste, hair gel, mayonnaise, liquid foam, cement and blood, which can't be defined by way of Navier-Stokes equations. It additionally bargains an updated mathematical and numerical research of the corresponding equations, in addition to a number of useful numerical algorithms and software program recommendations for the approximation of the recommendations.
- Random Number Generation and Monte Carlo Methods (Statistics and Computing)
- Finite Elemente: Theorie, schnelle Löser und Anwendungen in der Elastizitätstheorie (Springer-Lehrbuch Masterclass) (German Edition)
- Advances in Mathematical Fluid Mechanics: Dedicated to Giovanni Paolo Galdi on the Occasion of his 60th Birthday
- Mathematical Theory of Optimization (Nonconvex Optimization and Its Applications)
- Finite-Elemente-Methode: Rechnergestützte Einführung (German Edition)
- Spectral Elements for Transport-Dominated Equations (Lecture Notes in Computational Science and Engineering)
Additional resources for A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis
A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis by Robert Corless,Nicolas Fillion