The numerical evaluation of a challenging integral

Standard numerical analysis tools, combined with elementary calculus, are deployed to evaluate a densely and wildly oscillatory integral proposed as a computational problem in the SIAM 100-Digit Challenge. Numerical results are presented to accuracies up to 64 decimal digits.

• Type: Journal
• Year: 2008
• Where: NA
• Authors: Walter Gautschi
• Keywords: NA 2008, Oscillatory Integral, Siam 100-digit Challenge, Standard Numerical Analysis