John von Neumann's 1944 conjectures on wavecode convergence, a progress report (19441974)
Abstract
A convergent sequence of approximations is developed from a computation scheme, proposed by John von Neumann, for flows including shock waves. A computer program designed to produce the numerical solutions to a discrete approximation of the equations governing wave propagation is described. Convergence is considered important because of the relationship the convergence question has with the wavecodes accurately predicting the motion of a material. Wavecodes are able to make predictions for the weather; how rain erodes the earth and other surfaces; how a blast wave propagates through the atmosphere; how pollution spreads in the atmosphere, river, or ocean; how an automobile bends in a collision; how earthquake or bomb induced pulses travel through the earth; how large waves propagate over the ocean; or how plasma flows when an attempt is made to contain it to attain controlled fusion.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 August 1974
 Bibcode:
 1974STIN...7520665H
 Keywords:

 Computer Programs;
 Convergence;
 Wave Propagation;
 Approximation;
 Equations Of Motion;
 Flow Theory;
 Fluid Mechanics;
 Fluid Mechanics and Heat Transfer