Numerical Methods Adam Keaney 56446990 Aisling Butler 56625665 Jody Monahan 56544631.
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Transcript of Numerical Methods Adam Keaney 56446990 Aisling Butler 56625665 Jody Monahan 56544631.
Numerical Methods
Adam Keaney 56446990Aisling Butler 56625665Jody Monahan 56544631
Numerical Solvers in Engineering
Differential equations describe almost everything in the world.
Physics Chemistry Engineering Ecology Weather
Classic Parachute Example
Drag and velocity relationship.[1]
More Examples
Misalignment error in G.P.S. [2]
Car crash computer modelling. [3]
Results of ODE
Elapsed time is 1.482735 seconds.
Graph that shows the difference in the exact
analytical solution versus Euler’s solution with and without friction.
Our Innovation
Our Innovation
We created a game. Aim: Fire the projectile out of box and land
in designated area. Method: Guess speed and angle of the
projectile.
Problems Encountered
Ball would penetrate past boundary before bouncing off.
To counteract this we halved the step-size when it came close to the boundary
Problems Encountered
Our code, when executed was not particularly efficient. If given more time we could implement the Runge-Kutta method or the Adams-Bashforth method to improve efficiency.
Worms
Response to Article
Disagree with the article
Quality and quantity
Overseas expansion is seen as a positive step for businesses
Second level education not to blame [4]
Response to Article
Methods of improvement
A Week Of Wonder [5]
Search for problem internally rather than blaming external factors
References
http://online.redwoods.cc.ca.us/instruct/darnold/DEProj/sp04/coleron/paper1.pdf [1]
http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=01331391[2]
http://www.deskeng.com/articles/aaahdn.htm[3] http://extranet.hea.ie/index.cfm/page/news/
category/134/section/details/id/154 [4] www.weekofwonder.ie [5]