Research project scientific computing-1
hansh
01_SampleResearchProjectProposal.docxSemester:
Student name:
1. project title:
scientific computing of
2. problem statement:
This research project is trying to compute the value of using different scientific methods and comparing efficiency and precision between different methods.
3. proposed solution and proposed research methodology/strategy:
My initial idea is to use Taylor series as π/4 = arctan1:
However, this method cannot result to a precise calculation.
After reading some papers, I learnt to use Machin-like formula to compute pi precise to many decimal places.
There are other approximation methods like Bellard’s formula and Chudnovsky algorithm that I’d like to test efficiency.
Bellard’s formula:
Chudnovsky algorithm
All four methods will be put together and compare efficiency based on iteration numbers and precision decimal points or error.
