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]