β Scribed by Christoph W. Ueberhuber (auth.)
No coin nor oath required. For personal study only.
This book deals with various aspects of scientific numerical computing. No atΒ tempt was made to be complete or encyclopedic. The successful solution of a numerical problem has many facets and consequently involves different fields of computer science. Computer numerics- as opposed to computer algebra- is thus based on applied mathematics, numerical analysis and numerical computation as well as on certain areas of computer science such as computer architecture and operating systems. Applied Mathemalies I I I Numerical Analysis Analysis, Algebra I I Numerical Computation Symbolic Computation I Operating Systems Computer Hardware Each chapter begins with sample situations taken from specific fields of appliΒ cation. Abstract and general formulations of mathematical problems are then presented. Following this abstract level, a general discussion about principles and methods for the numerical solution of mathematical problems is presented. Relevant algorithms are developed and their efficiency and the accuracy of their results is assessed. It is then explained as to how they can be obtained in the form of numerical software. The reader is presented with various ways of applying the general methods and principles to particular classes of problems and approaches to extracting practically useful solutions with appropriately chosen numerical software are developed. Potential difficulties and obstacles are examined, and ways of avoiding them are discussed. The volume and diversity of all the available numerical software is tremendous.
Front Matter....Pages I-XVI
Scientific Modeling....Pages 1-8
Fundamental Principles of Numerical Methods....Pages 9-67
Computers for Numerical Data Processing....Pages 68-105
Numerical Data and Numerical Operations....Pages 106-171
Numerical Algorithms....Pages 172-218
Numerical Programs....Pages 219-271
Available Numerical Software....Pages 272-307
Using Approximation in Mathematical Model Building....Pages 308-352
Interpolation....Pages 353-439
Back Matter....Pages 440-477
Numerical Analysis; Algorithms; Mathematics of Computing; Computational Intelligence
π SIMILAR VOLUMES
Numerical Methods, Software, and Analysis, Second Edition introduces the methods, tools, and ideas of numerical computation.
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