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Book
Insight through Computing : a MATLAB Introduction to Computational Science and Engineering
Authors: ---
Year: 2010 Publisher: USA Society for Industrial and Applied Mathematics

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Book
Einführung in die numerische Mathematik
Authors: --- ---
ISBN: 3540088407 Year: 1978 Publisher: Berlin Springer,

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Book
Elementary numerical analysis
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ISBN: 0471829838 Year: 1985 Publisher: New York Wiley

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Book
A Posteriori Error Analysis via Duality Theory : With Applications in Modeling and Numerical Approximations
Authors: ---
ISBN: 9780387235370 Year: 2005 Publisher: Boston MA Springer US

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This volume provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems, especially those arising in mechanical applications, and for numerical approximations of numerous nonlinear variational problems. The author avoids giving the results in the most general, abstract form so that it is easier for the reader to understand more clearly the essential ideas involved. Many examples are included to show the usefulness of the derived error estimates. Audience This volume is suitable for researchers and graduate students in applied and computational mathematics, and in engineering.


Book
Symbolic-Numeric Computation
Authors: --- ---
ISBN: 9783764379841 Year: 2007 Publisher: Basel Birkhäuser Basel

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The growing demand of speed, accuracy, and reliability in scientific and engineering computing has been accelerating the merging of symbolic and numeric computations, two types of computation coexisting in mathematics yet separated in traditional research of mathematical computation. This book with 23 chapters presents original research and tutorial survey on the integration and interaction of symbolic and numeric computations. It represents the current state of the art and will serve as a valuable reference on the development of algorithms and software packages for hybrid symbolic-numeric computation. The book highlights the interaction between symbolic and numeric computations. It contains tutorial surveys by distinguished experts, covers recent advances on key topics, and provides effective methods illustrated with applications.


Book
Point Estimation of Root Finding Methods
Authors: ---
ISBN: 9783540778516 Year: 2008 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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This book sets out to state computationally verifiable initial conditions for predicting the immediate appearance of the guaranteed and fast convergence of iterative root finding methods. Attention is paid to iterative methods for simultaneous determination of polynomial zeros in the spirit of Smale's point estimation theory, introduced in 1986. Some basic concepts and Smale's theory for Newton's method, together with its modifications and higher-order methods, are presented in the first two chapters. The remaining chapters contain the recent author's results on initial conditions guaranteing convergence of a wide class of iterative methods for solving algebraic equations. These conditions are of practical interest since they depend only on available data, the information of a function whose zeros are sought and initial approximations. The convergence approach presented can be applied in designing a package for the simultaneous approximation of polynomial zeros.


Book
Alcune questioni di analisi numerica
Authors: ---
ISBN: 9783642110276 Year: 2011 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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A. Ghizzetti: a) Lezioni sui procedimenti di quasilinearizzazione e applicazioni. b) Nozioni fondamentali sulle equazioni alle differenze e sulle frazioni continue.- P. Wynn: Four lectures on the numerical application of continued fractions.- W. Gautschi: Strength and weakness of three-term recurrence relation.- F.L. Bauer: Use of continued fractions and algorithms related to them.


Book
Modular Forms: Basics and Beyond
Authors: ---
ISBN: 9781461421252 Year: 2012 Publisher: New York NY Springer New York

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This is an advanced book on modular forms. While there are many books published about modular forms, they are written at an elementary level, and not so interesting from the viewpoint of a reader who already knows the basics. This book offers something new, which may satisfy the desire of such a reader. However, we state every definition and every essential fact concerning classical modular forms of one variable. One of the principal new features of this book is the theory of modular forms of half-integral weight, another being the discussion of theta functions and Eisenstein series of holomorphic and nonholomorphic types. Thus the book is presented so that the reader can learn such theories systematically. Ultimately, we concentrate on the following two themes: (I) The correspondence between the forms of half-integral weight and those of integral weight. (II) The arithmeticity of various Dirichlet series associated with modular forms of integral or half-integral weight. Goro Shimura is currently a professor emeritus of mathematics at Princeton University.


Book
Verification and Validation in Scientific Computing
Authors: ---
Year: 2012 Publisher: New York Cambridge University Press

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Book
Numerical methods
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Year: 1964 Publisher: Edinburgh

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