BIT - Numerical Mathematics
ADD. KEYWORDS: Journal, Numerical Methods in Approximation,
Linear Algebra, and Ordinary and Partial Differential Equations, Numerical
Functional Analysis and Numerical Optimization
Engineering
Mathematics 1
ADD. KEYWORDS: Lecture notes, lists of problems, Complex
Numbers, Matrix Algebra, Approximation and Taylor Series, Differential Equations,
Measures of Error
SOURCE: Ian Craw, Stuart Dagger and John Pulham, University
of Aberdeen
TECHNOLOGY: Adobe PDF Reader
FAQ: Numerical
Analysis and Associated Fields Resource Guide
ADD. KEYWORDS: Software, Societies, Journals, Preprints,
Newsgroups, Books, Linear Algebra, Roots, Curve Fitting, Data Modelling, Interpolation,
Extrapolation Transforms (FFT, etc) and digital signal processing (DSP), Wavelets,
Integration and Ordinary Differential Equations (ODEs), N-Body and Particle
Simulation, Partial Differential Equations (PDEs) and Finite Element Modeling
(FEM), Operations Research: Minimization, Optimization, Computational Geometry,
Graphics and Scientific Visualization
Finite
Difference and Spectral Methods for Ordinary and Partial Differential Equations
ADD. KEYWORDS: Electronic textbook, Ordinary differential
equations Fourier analysis, Finite difference approximations, Accuracy, stability
and convergence, Dissipation, dispersion, and group velocity, Boundary conditions,
Fourier spectral methods, Chebyshev spectral methods.
SOURCE: Lloyd N. Trefethen, Oxford University
TECHNOLOGY: Postscript and Adobe pdf readers
Introduction
to Numerical Analysis Using Maple
ADD. KEYWORDS: Numerical Pathology, Roundoff Error, Maple,
Absolute and Relative Error, Accumulation of Roundoff Error, Roundoff Error
in Subtraction, The Loss of Precision Theorem, Convergence of Taylor Series,
Calculating Derivatives, Recurrence Relations, Stable Recurrence Relations,
Accurate Results using Symbolic Integration, Accurate Results using Numerical
Integration, Unstable Recurrence Relations, Convergence Rates For Iterative
Methods, Convergence Acceleration, Aitken's Convergence Acceleration Method,
Euler's Convergence Acceleration Method
Introduction
to Scientific Programming
ADD. KEYWORDS: Book Supplementary Materials, Maple, Computational
Properties of Numbers, Significant Digits and Interval Arithmetic, Accumulation
of Roundoff Error, Bisection Method, Newton's Method, Numerical Integration,
Level Set
Methods
ADD. KEYWORDS: Numerical techniques, Publications, Applications
Linear
Optimisation and Numerical Analysis
ADD. KEYWORDS: Lecture notes, lists of problems, Simplex
Algorithm, One-phase Simplex Algorithm, Two-Phase Simplex Algorithm, Duality,
Theory of Games, Non-linear Optimisation Problems, Genetic Optimisation, Simulated
Annealing
SOURCE: Ian Craw, University of Aberdeen
TECHNOLOGY: Adobe PDF Reader
Methods
and Analysis in UCES by R. E. White
ADD. KEYWORDS: Tutorial, Matrix Computations, Vector Computers
and Heat Diffusion, Triangular Algebraic Systems, Gaussian Elimination and
Steady State Heat Conduction, Ill-conditioned Algebraic Systems and Function
Approximation, Overdetermined Systems and Curve Fitting to Data, Trapezoid
Rule, Initial Value Problems: Euler's Method, Stiff Initial Value Problems,
Fixed Points and Picard's Algorithm, Roots and Newton's Algorithm, Taylor
Polynomials and Approximations Boundary Value Problem in 1D, Efficient Numerical
Solution of Tridiagonal Algebraic Systems, Iterative Methods: Jacobi and SOR,
Block Tridiagonal Matrices and Diffusion in 2D, Fluid Flow in 2D, Time Dependent
2D Problems, Nonlinear Boundary Value Problems and Radiative Heat Transfer,
High Performance Computing and Diffusion in 3D, Matlab, Maple
Project
Hermite
ADD. KEYWORDS: Bibliography, Software, Matlab, People
La Quinta Operación
Aritmética (The Fifth Arithmetical Operation)
ADD. KEYWORDS: Sections from a published book, Rational
Mean, Roots Solving, Continued Fractions
WGS : Working Group on Software
ADD. KEYWORDS: Newsgroups, The Numerics in Control Network
(NICONET), The Control and Systems Library SLICOT, Validation of Control Software
and Benchmarking, Reports
