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Computing of the Complex Variable FunctionsComputing of the Complex Variable Functions
by Solomon I. Khmelnik, Inna S. Doubson - MiC , 2011
Hardware algorithms for computing of all elementary complex variable functions are proposed. Contents: A method 'digit-by-digit'; Decomposition; Compositions; Two-step-by-step operations; Taking the logarithm; Potentiation; and more.
(1343 views)

Parallel Spectral Numerical MethodsParallel Spectral Numerical Methods
by Gong Chen, et al. - Wikibooks , 2013
We start with finite-precision arithmetic. We then discuss how to solve ordinary differential equations and partial differential equations using the technique of separation of variables. We then introduce numerical time-stepping schemes...
(1453 views)

Numerical Solutions of Engineering ProblemsNumerical Solutions of Engineering Problems
by K. Nandakumar - University of Alberta , 1998
Contents: On mathematical models; Single nonlinear algebraic equation; System of linear and nonlinear algebraic equations; Numerical differentiation and integration; Ordinary differential equations; Boundary value problems; etc.
(2839 views)

Lectures on Numerical Methods in Bifurcation ProblemsLectures on Numerical Methods in Bifurcation Problems
by H.B. Keller - Tata Institute Of Fundamental Research , 1986
These lectures introduce the modern theory and practical numerical methods for continuation of solutions of nonlinear problems depending upon parameters. The treatment is elementary, advanced calculus and linear algebra are the omly prerequisites.
(1882 views)

Lectures on Numerical Methods for Non-Linear Variational ProblemsLectures on Numerical Methods for Non-Linear Variational Problems
by R. Glowinski - Tata Institute of Fundamental Research , 1980
Many physics problems have variational formulations making them appropriate for numerical treatment. This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations.
(2107 views)

Lectures on Topics In Finite Element Solution of Elliptic ProblemsLectures on Topics In Finite Element Solution of Elliptic Problems
by Bertrand Mercier - Tata Institute of Fundamental Research , 1979
Contents: Sobolev Spaces; Abstract Variational Problems and Examples; Conforming Finite Element Methods; Computation of the Solution of the Approximate Problem; Problems with an Incompressibility Constraint; Mixed Finite Element Methods; etc.
(1777 views)

Numerical Methods For Time Dependent EquationsNumerical Methods For Time Dependent Equations
by P. Lascaux - Tata Institute of Fundamental Research , 1976
The solution of time dependent equations of hydrodynamics is a subject of great importance. This book is mainly concentrated on the study of the stability of the various schemes. We have considered only the stability for linearized problems.
(1940 views)

Lectures on The Finite Element MethodLectures on The Finite Element Method
by Ph. Ciarlet - Tata Institute of Fundamental Research , 1975
Our basic aim has been to present some of the mathematical aspects of the finite element method, as well as some applications of the finite element method for solving problems in Elasticity. This is why some important topics are not covered here.
(2259 views)

Numerical Analysis INumerical Analysis I
by Mark Embree - Rice University , 2012
This course takes a tour through many algorithms of numerical analysis. We aim to assess alternative methods based on efficiency, to discern well-posed problems from ill-posed ones, and to see these methods in action through computer implementation.
(4508 views)

Iterative Methods for Linear and Nonlinear EquationsIterative Methods for Linear and Nonlinear Equations
by C.T. Kelley - SIAM , 1995
This book focuses on a small number of methods and treats them in depth. The author provides a complete analysis of the conjugate gradient and generalized minimum residual iterations as well as recent advances including Newton-Krylov methods.
(2959 views)

Numerical Methods for Large Eigenvalue ProblemsNumerical Methods for Large Eigenvalue Problems
by Yousef Saad - SIAM , 2011
This book discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods for solving matrix eigenvalue problems that arise in various engineering applications.
(4258 views)

Numerical Analysis for EngineeringNumerical Analysis for Engineering
by Douglas W. Harder, Richard Khoury - University of Waterloo , 2010
Contents: Error Analysis, Numeric Representation, Iteration, Linear Algebra, Interpolation, Least Squares, Taylor Series, Bracketing, The Five Techniques, Root Finding, Optimization, Differentiation, Integration, Initial-value Problems, etc.
(4554 views)

Numerical Analysis: Theory and ApplicationNumerical Analysis: Theory and Application
by Jan Awrejcewicz - InTech , 2011
The book introduces theoretical approach to numerical analysis as well as applications of various numerical methods to solving numerous theoretical and engineering problems. The book is useful for both theoretical and applied research.
(4903 views)

Lectures on Numerical AnalysisLectures on Numerical Analysis
by Dennis Deturck, Herbert S. Wilf - University of Pennsylvania , 2002
Contents: Differential and Difference Equations (Linear equations with constant coefficients, Difference equations, Stability theory); The Numerical Solution of Differential Equations (Euler's method); Numerical linear algebra.
(3575 views)

Notes on Numerical Linear AlgebraNotes on Numerical Linear Algebra
by George Benthien , 2006
Tutorial describing many of the standard numerical methods used in Linear Algebra. Topics include Gaussian Elimination, LU and QR Factorizations, The Singular Value Decomposition, Eigenvalues and Eigenvectors via the QR Method, etc.
(4728 views)

Notes on Harmonic AnalysisNotes on Harmonic Analysis
by George Benthien , 2006
Tutorial discussing some of the numerical aspects of practical harmonic analysis. Topics include Historical Background, Fourier Series and Integral Approximations, Convergence Improvement, Differentiation of Fourier Series and Sigma Factors, etc.
(3372 views)

Robust Geometric ComputationRobust Geometric Computation
by Kurt Mehlhorn, Chee Yap - New York University , 2004
Contents: Introduction to Geometric Nonrobustness; Modes of Numerical Computation; Geometric Computation; Arithmetic Approaches; Geometric Approaches; Exact Geometric Computation; Perturbation; Filters; Algebraic Background; Zero Bounds; etc.
(2354 views)

Numerical StabilityNumerical Stability
by M.N. Spijker - Leiden University , 1998
Stability estimates and resolvent conditions in the numerical solution of initial value problems. Contents: Partial differential equations and numerical methods; Linear algebra; Stability in the numerical solution of differential equations; etc.
(2863 views)

Introduction to the Numerical Integration of PDEsIntroduction to the Numerical Integration of PDEs
by B. Piette - University of Durham , 2004
In these notes, we describe the design of a small C++ program which solves numerically the sine-Gordon equation. The program is build progressively to make it multipurpose and easy to modify to solve any system of partial differential equations.
(4573 views)

The Calculus Of Finite DifferencesThe Calculus Of Finite Differences
by L. M. Milne Thomson - Macmillan and co , 1933
The object of this book is to provide a simple account of the subject of Finite Differences and to present the theory in a form which can be readily applied -- not only the useful material of Boole, but also the more modern developments.
(4218 views)

Introduction to Fortran 95 and Numerical ComputingIntroduction to Fortran 95 and Numerical Computing
by Adrian Sandu - Virginia Tech , 2001
Contents: a quick tour of fortran 95; the building blocks of a fortran application; flow control; computer arithmetic; applications; intrinsic functions; input and output; arrays; more on procedures; parametrized intrinsic types; derived types; etc.
(5863 views)

Computational Mathematics for Differential EquationsComputational Mathematics for Differential Equations
by N. V. Kopchenova, I. A. Maron , 1975
This is a manual on solving problems in computational mathematics. The book is intended primarily for engineering students, but may also prove useful for economics students, graduate engineers, and postgraduate students in the applied sciences.
(7597 views)

Iterative Methods for Sparse Linear SystemsIterative Methods for Sparse Linear Systems
by Yousef Saad - PWS , 1996
The book gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations. The methods described are iterative, i.e., they provide sequences of approximations that will converge to the solution.
(4513 views)

First Steps in Numerical AnalysisFirst Steps in Numerical Analysis
by R. Hosking, S. Joe, D. Joyce, and J. Turner , 1998
This book provides an excellent introduction to the elementary concepts and methods of numerical analysis for students meeting the subject for the first time. The subject matter is organized into fundamental topics and presented as a series of steps.
(7543 views)

Lectures in Basic Computational Numerical AnalysisLectures in Basic Computational Numerical Analysis
by James M. McDonough - University of Kentucky , 2001
These notes cover the following topics: Numerical linear algebra; Solution of nonlinear equations; Approximation theory; Numerical solution of ordinary differential equations; Numerical solution of partial differential equations.
(5062 views)

Numerical Recipes in Fortran 90Numerical Recipes in Fortran 90
by William H. Press, at al. - Cambridge University Press , 1996
Numerical Recipes in Fortran 90 contains a detailed introduction to the Fortran 90 language and to the basic concepts of parallel programming, plus source code for all routines from the second edition of Numerical Recipes.
(22094 views)

Handbook of Mathematical FunctionsHandbook of Mathematical Functions
by M. Abramowitz, I. A. Stegun - GPO , 1964
Students and professionals in the fields of mathematics, physics, engineering, and economics will find this reference work invaluable. A classic resource for special functions, standard trig, and exponential logarithmic definitions and extensions.
(19165 views)

Linear Optimisation and Numerical AnalysisLinear Optimisation and Numerical Analysis
by Ian Craw - University of Aberdeen , 2002
The book describes the simplex algorithm and shows how it can be used to solve real problems. It shows how previous results in linear algebra give a framework for understanding the simplex algorithm and describes other optimization algorithms.
(6422 views)

Mathematical ComputationMathematical Computation
by Ian Craw - University of Aberdeen , 2003
The overall aim of the course is to present modern computer programming techniques in the context of mathematical computation and numerical analysis and to foster the independence needed to use these techniques as appropriate in subsequent work.
(7416 views)

Numerical Methods Course NotesNumerical Methods Course Notes
by Steven E. Pav - University of California at San Diego , 2005
From the table of contents: A 'Crash' Course in octave/Matlab; Solving Linear Systems; Finding Roots; Interpolation; Spline Interpolation; Approximating Derivatives; Integrals and Quadrature; Least Squares; Ordinary Differential Equations.
(6723 views)

Fundamental Numerical Methods and Data AnalysisFundamental Numerical Methods and Data Analysis
by George W. Collins, II - NASA ADS , 2003
'Fundamental Numerical Methods and Data Analysis' can serve as the basis for a wide range of courses that discuss numerical methods used in science. The author provides examples of the more difficult algorithms integrated into the text.
(12695 views)

Numerical Methods with ApplicationsNumerical Methods with Applications
by Autar K Kaw, Egwu Eric Kalu - Lulu.com , 2008
The textbook is written for engineering undergraduates taking a course in numerical methods. It offers a treatise to numerical methods based on a holistic approach and short chapters. The authors included examples of real-life applications.
(9946 views)

Templates for the Solution of Linear SystemsTemplates for the Solution of Linear Systems
by Richard Barrett et al. - Society for Industrial Mathematics , 1987
The book focuses on the use of iterative methods for solving large sparse systems of linear equations. General and reusable templates are introduced to meet the needs of both the traditional user and the high-performance specialist.
(7333 views)