Solution of the One-Dimensional Heat Equation for a Rod Using Finite Differences by James Pate Williams, Jr. Created on Wednesday April 3, 2024
Test of Dr. H. T. Lau’s femlagsym Self-Adjoint Second Order Linear Ordinary Differential Equation Solver by James Pate Williams, Jr. (c) Wednesday April 3, 2024
Undamped Mass-Spring Eigenvalue – Eigenvector Problem by James Pate Williams, Jr. (c) Monday April 1, 2024
We extend the results of the following website:
The five masses in the problem have a maximum value of 8. The six springs have a maximum value of 4 for their Hooke’s coefficients. The first 5 by 5 matrix is the inverse mass matrix, the second matrix is the Hooke’s coefficient 5 by 5 matrix, the third 5 by 5 matrix is the product of the inverse mass matrix times the Hooke’s coefficient matrix. The final row vector is the eigenvalue vector.
A New and Some Old MP3s by James Pate Williams, Jr. Copyrighted on Easter Sunday, March 31, 2024
The first MP3 was created on Saturday, March 30,2024. It uses the former Cakewalk Digital Audio Workstation software SONAR Platinum. The software synthesizer utilized was Universal Audio Waterfall Hammond B3 Organ emulator with Lesley Type 147 amplifier and rotating speaker enclosure.
The second MP3 was created on May 19,2009, using my Gibson EDS-1275 double neck SG guitar and one of the older Cakewalk DAWs. Unfortunately, my double neck guitar was stolen from my house in 2011.
The final MP3 in this post uses my 2006 Gibson Les Paul SG Custom. The date on the MP3 is Thursday, February 15, 2018.
The next MP3 is the same music as the first MP3 but using Universal Audio’s Mini Moog synthesizer with Fanfare preset.
Lau Large Integer Calculator © March 27-28 by James Pate Williams, Jr. All Applicable Rights Reserved
Complex Number Calculator © March 25-26 by James Pate Williams, Jr.
New 1d Integration Results (c) March 24, 2024, by James Pate Williams, Jr.
I tested NUMAL’s integration function versus homegrown trapezoidal rule and Simpson’s rule. The second and third algorithms were closed (included both endpoints). There exist higher order Newton-Cotes integration formulas. I did not test the Gauss-Legendre and/or Gauss-Laguerre integration method(s). The trapezoidal rule can be improved if the derivative of the integrand is known and is easily calculated.
C Sorting DLL Experimental Results by James Pate Williams, Jr. (c) March 22, 2024, All Applicable Rights Reserved
Microsoft Visual Studio 2019 Community Version – Creating and Using a C Based Dynamic Link Library © March 22, 2024, by James Pate Williams, Jr.
Create a solution using the DLL C++ DLL template. Rename pch.cpp to pch.c and dllmain.cpp to dllmain.c. Add a header file for the DLL containing the following macro:
#define DLL_Export __declspec(dllexport)
Mark all the exportable functions in the DLL header file with the DLL_Export macro. Suppose the DLL is named CSortingDLL. Next create a console C++ project in the DLL solution to use the DLL. Open the Properties page of the console app. If you want to use the ASCII character set, select the Advanced Configuration Properties, and set the Character Set to Not Set. Now open the C/C++ General Property and under Additional Include Directories add ..\CSortingDLL\;. Do not include the previous period mark. Next open the Linker General Property page. Set Additional Library Directories to ..\CSortingDLL\$(IntDir);. The penultimate step is to set the Linker Input Additional Dependencies to CSortingDLL.lib;. The final step for the app is to add a reference to CSortingDLL. Now you have a functioning DLL and an app using the DLL. If you have any questions, please contact me via email at jamespate@mac.com. Also, Microsoft has a DLL walkthrough complete with source code. I will add my CSortingDLL header source code as a PDF document.
