REVIEWS AND DESCRIPTIONS OF TABLES AND BOOKS

@inproceedings{Boor2016REVIEWSAD,
  title={REVIEWS AND DESCRIPTIONS OF TABLES AND BOOKS},
  author={Carl de Boor and Hannes Brunner and Beresford N. Parlett and Florian A. Potra and J.K.S. Reid and Hans J. Stetter and Linde Wittmeyer-Koch},
  year={2016}
}
This is a concise account of certain topics in numerical analysis which a student is expected to know when he reaches an advanced course yet may not have been introduced to in his first course on the subject. The book is organized around the notion of error. After the concepts ot stability and ill-conditioning (important in gauging the effects of all kinds of error) are elucidated in a first part of the book, discretization error, convergence error and rounding error are each studied separately… 

References

SHOWING 1-10 OF 68 REFERENCES

Iterative Solution of Large Sparse Systems of Equations

In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods

REVIEWS AND DESCRIPTIONS OF TABLES AND BOOKS

107[A-F, K-N, Q].—Robert C. Weast, Samuel M. Selby & Charles D. Hodgman, Editors, Handbook of Mathematical Tables, Second edition, The Chemical Rubber Co., Cleveland, Ohio, 1964, x + 680 p., 24 cm.

The serial test for sampling numbers and other tests for randomness

  • I. Good
  • Mathematics
    Mathematical Proceedings of the Cambridge Philosophical Society
  • 1953
Abstract In the serial test for sampling numbers (3, 4) an expression is used. It is in the form of a sum of squares and has previously been supposed to have asymptotically a χ2 (γ-variate)

The finite element method for elliptic problems

  • P. Ciarlet
  • Mathematics
    Classics in applied mathematics
  • 2002
From the Publisher: This book is particularly useful to graduate students, researchers, and engineers using finite element methods. The reader should have knowledge of analysis and functional

Introduction to Maple

TLDR
The book begins with an introduction to computer algebra, the first steps to calculus on numbers, and variables and names and continues with such subjects as polynomials and rational functions, differentiation, integration and summation, simplification, and graphics.

The logical structure of computer-aided mathematical reasoning

TLDR
This paper compares the old and the new from a logician's standpoint, and many of the points raised about computer-aided mathematics are not restricted to mathematics done on a computer.

Iterative Methods by Space Decomposition and Subspace Correction

TLDR
A unified theory for a diverse group of iterative algorithms, such as Jacobi and Gauss–Seidel iterations, diagonal preconditioning, domain decomposition methods, multigrid methods,Multilevel nodal basis preconditionsers and hierarchical basis methods, is presented by using the notions of space decomposition and subspace correction.

Quadratic Residues and the Distribution of Primes

Since\/?i/log n —» oo, ir~(n) could thus be made to exceed ir+(n) by any amount by an appropriate choice of n. This theorem (which was one of the above-mentioned three senses) was proven by Phragmén,

Interior-point polynomial algorithms in convex programming

TLDR
This book describes the first unified theory of polynomial-time interior-point methods, and describes several of the new algorithms described, e.g., the projective method, which have been implemented, tested on "real world" problems, and found to be extremely efficient in practice.

Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems

The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). The book is divided into four chapters. The
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