Blog Entry © Monday, August 3, 2026, by James Pate Williams, Jr., BA, BS, MSwE, PhD Free Particle Schrödinger Equation in Confocal Parabolic Coordinates Blog Entry Monday August 3 2026Download
Blog Entry © Saturday, July 25, 2026, Solutions of a Linear Second Order Ordinary Differential Equation Initial Value Problem by James Pate Williams, Jr. Solutions of a Linear Second Order Ordinary Differential Equation Initial Value ProblemDownload
Blog Entry © Saturday July 11, 2026, by James Pate Williams, Jr. Testing a LCG PRNG and a CSPRNG Blog Entry Saturday July 11 2026Download ← BackThank you for your response. ✨ Upload a file · Uploading… Uploaded Submit Δ
Blog Entry © Saturday July 4, 2026, by James Pate Williams, Jr. Permutations Etc. Blog Entry Saturday July 4 2026Download
Blog Entry © Wednesday July 1, 2026, by James Pate Williams, Jr., Calculation of the Probabilities of Poker Hands Blog Entry Wednesday July 1 2026Download
Blog Entry © Tuesday June 30, 2026, by James Pate Williams, Jr., Exploration of the One and Two-Dimensional Functions Exp(-x * x) and Exp(-x * x – y * y) Blog Entry Tuesday June 30 2026Download
Blog Entry © Monday June 29, 2026, by James Pate Williams, Jr. and Microsoft Copilot Tests of Simpson’s Rule and the Monte Carlo Method for Two-Dimensional Functions Blog Entry Monday June 29 2026Download
Blog Entry © Saturday, June 27, 2026, by James Pate Williams, Jr. Unconstrained Function Optimization Blog Entry Saturday June 27 2026Download
Blog Entry © Friday June 19, 2026, by James Pate Williams, Jr. Solution of Two Simple Two-Dimensional Systems and a Three-Dimensional System of Equations Blog Entry Friday June 19 2026Download
Blog Entry © Thursday, June 18, 2026, by James Pate Williams, Jr. Fourier Series Interpolation of Simple Polynomials Blog Entry Thursday June 18 2026Download
Numerical Explorations 