0
The shooting method is a method of reducing a boundary value problem to an initial value problem. You essentially take the first boundary condition as an initial point, and then 'create' a second condition stating the gradient of the function at the initial point and shoot/aim the function towards the second boundary condition at the end of the interval by solving the initial value problem you have made, and then adjust your gradient condition to get closer to the boundary condition until you're within an acceptable amount of error. Once within a decent degree of error, your solution to the initial value problem is the solution to the boundary value problem.
Have attached PDF file I found which might explain it better than I have been able to here.
Add your answer:
Earn +20 pts
Daily example of numerical analysis?
numerical analysis application
How do you solve a problem in numerical analysis?
g
What is the definition of numerical analysis?
It is the study of algorithms that use numerical values for the problems of continuous mathematics.
Definition of numerical analysis?
Numerical Analysis - an area of mathematics that uses various numerical methods to find numerical approximations to mathematical problems, while also analysing those methods to see if there is any way to reduce the numerical error involved in using them, thus resulting in more reliable numerical methods that give more accurate approximations than previously.
What are the differences between numerical methods and numerical analysis?
A numerical method is the same as an algorithm, the steps required to solve a numerical problem. Algorithms became very important as computers were increasingly used to solve problems. It was no longer necessary to solve complex mathematical problems with a single closed form equation. See link on algorithm. According to Wikipedia: Numerical analysis is the study of algorithms for the problems of continuous mathematics (as distinguished from discrete mathematics). See link on numerical analysis. An expanded definition offered by K.E. Atkinson is: Numerical analysis is the area of mathematics and computer science that creates, analyzes, and implements algorithms for solving numerically the problems of continuous mathematics. Such problems originate generally from real-world applications of algebra, geometry and calculus, and they involve variables which vary continuously; these problems occur throughout the natural sciences,social sciences, engineering, medicine, and business. Numerical analysis courses typically are offered as part of Industrial engineering (Operations research), applied mathematics, computer science. Simulation, operations research and computer science are very interrelated
Daily example of numerical analysis?
numerical analysis application
What has the author Isabelle Hemmings written?
Isabelle Hemmings has written: 'Eigensystem analysis of a numerical method for fluid dynamics'
What has the author Irwin Remson written?
Irwin Remson has written: 'Numerical methods in subsurface hydrology, with an introduction to the finite element method' -- subject(s): Groundwater, Numerical analysis
What has the author Pascal Jean Frey written?
Pascal Jean Frey has written: 'Maillages' -- subject(s): Finite element method, Numerical grid generation (Numerical analysis), Triangulation
When was Siam Journal on Numerical Analysis created?
SIAM Journal on Numerical Analysis was created in 1964.
When was Leslie Fox Prize for Numerical Analysis created?
Leslie Fox Prize for Numerical Analysis was created in 1985.
What has the author Louis Komzsik written?
Louis Komzsik has written: 'MSC/NASTRAN Numerical Methods User's Guide' 'The Lanczos method' -- subject(s): Computer algorithms, Mathematics, Numerical analysis, Computer science, Eigenvalues 'What every engineer should know about computational techniques of finite element analysis' -- subject(s): Finite element method
Which numerical method gives more accuracy?
I may be wrong, but I think the question is kind of ambiguous. Do you mean a numerical integration method, a numerical differentiation method, a pivoting method, ... specify.
What has the author Annie Cuyt written?
Annie Cuyt has written: 'Nonlinear methods in numerical analysis' -- subject(s): Numerical analysis
What has the author Rainer Kress written?
Rainer Kress has written: 'Numerical analysis' -- subject(s): Numerical analysis 'Mathematical Methods of Plasmaphysics'
What has the author Mamoru Kurata written?
Mamoru Kurata has written: 'Numerical analysis for semiconductor devices' -- subject(s): Numerical analysis, Semiconductors
How do you solve a problem in numerical analysis?
g
