Talk:Euler method

Potential improvements

• Output a table of (t_n,y_n) instead of (t_n,y_n-1).
• Output (t_a,y_a) and (t_b,y_b) athe the top and bottom of the table.
• Provide as input a the desired numerical error bound of output.
• Produce a numerical bound on the results numerical error.
• Generalise to ℝ_n.
• Handle cases where the step (h) does not fit perfectly into the range [a:b], especially where the range is [a:nh+ε]
• Accumulate the round off error in the sum, and amend/improve the final.

NevilleDNZ 22:55, 6 March 2011 (UTC)