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Katolog > Science > Math > Numerical Analysis


A branch of mathematics that uses repeated operations to find approximate solutions to equations. There is also an attempt to measure the error rate of such approximations.
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Links:

N-Body/Particle Simulation Methods
http://www.amara.com/papers/nbody.html

N-Body/Particle Simulation Methods

Overview of N-body methods.
www.amara.com/papers/nbody.html
Inverse Symbolic Calculator
http://www.cecm.sfu.ca/projects/ISC/

Inverse Symbolic Calculator

A set of programs and specialized tables of mathematical constants dedicated to the identification of real numbers.
www.cecm.sfu.ca/projects/ISC
NA-Net
http://www.netlib.org/na-net/na_home.html

NA-Net

Searchable weekly email digest on numerical analysis.
www.netlib.org/na-net/na_home.html
Level Set and Fast Marching Methods:
http://www.math.berkeley.edu/~sethian

Level Set and Fast Marching Methods:

Tracking moving interfaces in computational geometry, materials sciences, robotics, image processing, and fluid mechanics; numerical techniques based on partial differential equations.
www.math.berkeley.edu/~sethian
Interval Computations
http://www.cs.utep.edu/interval-comp/

Interval Computations

Indexes links relating to interval arithmetic and related issues.
www.cs.utep.edu/interval-comp
Tomasz Plewa's Numerical Analysis Directory
http://www.labyrinth.net.au/~ctrans/tomasz.html

Tomasz Plewa's Numerical Analysis Directory

Directory of sites containing software for numerical analysis (mainly in Fortran).
www.labyrinth.net.au/~ctrans/tomasz.html
Domain Decomposition Organization
http://www.ddm.org/

Domain Decomposition Organization

Bergen, Norway. Information about the annual international Domain Decomposition meeting, links to people working in the field and information about books and other material related to Domain Decomposition.
www.ddm.org
MGNet
http://casper.cs.yale.edu/mgnet/www/mgnet.html

MGNet

Multigrid method resources. Sites, publications, software.
casper.cs.yale.edu/mgnet/www/mgnet.html
Numerical Analysis Resources FAQ
http://www.mathcom.com/corpdir/techinfo.mdir/scifaq/index.html

Numerical Analysis Resources FAQ

Maintained by Steve Sullivan.
www.mathcom.com/corpdir/techinfo.mdir/scifaq/index.html
Search sci.math.num-analysis
http://mathforum.org/discussions/epi-search/sci.math.num-analysis.html

Search sci.math.num-analysis

Teachers and students of numerical analysis will find others who share their interests at the sci.math.num-analysis discussion list. Searchable archive at the Math Forum.
mathforum.org/discussions/epi-search/sci.math.num-analysis.html
External Numerical Analysis Sources
http://www.numerical.rl.ac.uk/external/external.html

External Numerical Analysis Sources

Compiled by Nick Gould, Rutherford Appleton Laboratory.
www.numerical.rl.ac.uk/external/external.html
Newton's Method and High-order Iterations
http://numbers.computation.free.fr/Constants/Algorithms/newton.html

Newton's Method and High-order Iterations

Newton's iteration : History, convergence results, Halley's iteration and high order new iterations. A web text in HTML and PostScript.
numbers.computation.free.fr/Constants/Algorithms/newton.html
SQRT - Algorithms for Calculating the Square Root
http://www.pedrofreire.com/sqrt/

SQRT - Algorithms for Calculating the Square Root

Describing two major algorithms: one efficient in terms of size, the other in terms of speed. English/Portuguese.
www.pedrofreire.com/sqrt
Numerical Methods for PDEs with Java Applets
http://www.lifelong-learners.com/pde

Numerical Methods for PDEs with Java Applets

Distance learning course dealing with finite differences / elements, Monte-Carlo, Fourier and Lagrangian methods for the advection, diffusion, wave, Schrodinger, Burger and KdV equations. The commercial version of a course taught to science and eng
www.lifelong-learners.com/pde
Numerical Methods
http://tonic.physics.sunysb.edu/docs/num_meth.html

Numerical Methods

A guide to on-line resources.
tonic.physics.sunysb.edu/docs/num_meth.html
IPNet
http://www.mth.msu.edu/ipnet/

IPNet

Inverse Problems Network, for the area of inverse or ill-posed problems.
www.mth.msu.edu/ipnet
Orthogonal Polynomials and Special Functions
http://math.nist.gov/opsf/

Orthogonal Polynomials and Special Functions

SIAM activity group. Newsletter, conferences, bibliography, reports, history, jobs, other resources.
math.nist.gov/opsf
Foundations of Computational Mathematics (FoCM)
http://www.focm.net/

Foundations of Computational Mathematics (FoCM)

A nonprofit organization that supports and promotes research on foundations of computational mathematics.
www.focm.net
Holistic Numerical Methods Institute
http://numericalmethods.eng.usf.edu

Holistic Numerical Methods Institute

A collection of resources on numerical methods aimed at undergraduates, maintained at the University of South Florida.
numericalmethods.eng.usf.edu
WANDA
http://www.maths.dundee.ac.uk/~www/

WANDA

Website for Accessing Numerics : the Dundee Archive. Numerical Analysis resources at Dundee University.
www.maths.dundee.ac.uk/~www
Solve Equations by Successive Approximations
http://members.ispwest.com/patrussell/approximations/introduction.htm

Solve Equations by Successive Approximations

Approximation formulae to compute real and complex solutions of equations in a spreadsheet.
members.ispwest.com/patrussell/approximations/introduction.htm
On-line Numerical Methods
http://mn.fe.up.pt/second_en.htm

On-line Numerical Methods

A web-based numerical methods simulator for student use.
mn.fe.up.pt/second_en.htm

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