Basic HTML version of Foils prepared 15 March 1996

Foil 16 Treatment of Time Stepping for PDE's :
Numerical Recipes -- Chapter 19

From Introduction to Physics and Numerics of NAS Benchmarks CPSP713 Case studies in Computational Science -- Spring Semester 1996. by Geoffrey C. Fox


Equation (19.1.1) (19.1.6) are flux-conservative equations of general type of NAS benchmarks
Equation (19.1.11) is FTCS (Forward Time Centered Space) for (19.1.6)
Von Neumann Stability Analysis for constant coefficient equations
Lax Method Equation (19.1.14)
Courant Stability Condition Equation (19.1.17)
Physical Interpretation in Fig 19.1.3
Numerical Viscosity implied in Lax's Method Equation (19.1.19)



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