References: https://web.stanford.edu/~oas/SI/QM/Atkins05.pdf See Example 8.1 The evaluation of overlap and Coulomb integral for the hydrogen molecule ion pages 255 – 256 https://www.physics.udel.edu/~jim/PHYS425_20S/Class%20Notes/Notes_8.pdf https://phys.libretexts.org/Bookshelves/Quantum_Mechanics/Introductory_Quantum_Mechanics_(Fitzpatrick)/13%3A_Variational_Methods/13.03%3A_Hydrogen_Molecule_Ion#fh2pa
Category: Numerical Analysis
Blog Entry © Monday, October 14, 2024, Real Eigenvalues and Eigenvectors of a 4 x 4 Tridiagonal Matrix and Solutions of a 4 x 4 System Using the Same Tridiagonal Matrix by James Pate Williams, Jr.
Two methods of solving linear systems of equations are explored in this blog. The methods are the Gauss-Seidel method and the Jacobi iteration.
Blog Entry © Friday, October 11, 2024, by James Pate Williams, Jr. Free Vibrations of Simple Structures
Blog Entry (c) Friday, October 11, 2024, by James Pate Williams, Jr. The Einstein-de Sitter Universe
Blog Entry © Tuesday, October 8, 2024, by James Pate Williams, Jr.
Blog Entry © Monday, October 7, 2024, by James Pate Williams, Jr. Recent Voyages into the World of Quantum Chemistry
Blog Entry © Saturday, October 5, 2024, by James Pate Williams, Jr. Multidimensional Integrals
Blog Entry © Thursday, October 3, 2024, by James Pate Williams, Jr. A Mixture of Numerical Analysis and General Relativity Physics
Blog Entry (c) Wednesday, October 2, 2024, by James Pate Williams, Jr. First Order Coupled Ordinary Differential Equations
Blog Entry (c) Saturday, September 28, 2024, by James Pate Williams, Jr. New Iowa Ballistics Table
I created the following fast battleship Iowa class ballistics table using a single coefficient of form with the value 0.531. The ballistic coefficient is 19.86229.
For comparison use the actual October 1941 Iowa class ballistics tables:
https://eugeneleeslover.com/USN-GUNS-AND-RANGE-TABLES/OP-770-1.html
Numerical Explorations 