Digital Simulation of Dynamical Systems.
NAVAL SHIP ENGINEERING CENTER PHILADELPHIA PA PHILADELPHIA DIV
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The report covers the initial phases of an investigation into proved methods of simulating dynamical systems on a digital computer. The two main areas discussed are Implicit temporal integration algorithms. It is shown why implicit temporal algorithms reduce computer time for stiff systems systems with widely separated eigenvalues. Successful results using such algorithms are reported Improved finite difference algorithms for the spatial derivatives in partial differential equations. Improved accuracy for finite difference methods coupling higher numbers of spatial points is demonstrated by an eigenvalue analysis of several linear distributed parameter systems. Author
- Theoretical Mathematics
- Computer Programming and Software