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Silent error resilience 
in numerical time-stepping schemes 
Austin Benson* 
Institute for Computational and Mathematical ...
Illustrative example 2 
Crank−Nicolson Solution 
iDt 
0 0.2 0.4 0.6 0.8 1 
x 
0 
0.5 
1 
1.5 
2 
0 50 100 150 200 
−2 
10 ...
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
Silent error detection in numerical time stepping schemes (SIAM PP 2014)
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Silent error detection in numerical time stepping schemes (SIAM PP 2014)

Silent error detection in numerical time stepping schemes.

This is a talk from SIAM Parallel Processing 2014 in Portland, OR

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Silent error detection in numerical time stepping schemes (SIAM PP 2014)

  1. 1. Silent error resilience in numerical time-stepping schemes Austin Benson* Institute for Computational and Mathematical Engineering Stanford University Sven Schmit* (ICME) and Rob Schreiber (HP Labs) SIAM PP 2014 * work done while interning at HP Labs February 19, 2014
  2. 2. Illustrative example 2 Crank−Nicolson Solution iDt 0 0.2 0.4 0.6 0.8 1 x 0 0.5 1 1.5 2 0 50 100 150 200 −2 10 −3 10 −4 10 −5 10 −6 10 −7 10 i D i Richardson / Crank−Nicolson forward / backward Euler ut = 1 100 uxx + 0:1 (sin(2t) + cos(2x)) t 2 [0; 2]; x 2 [0; 1] u(x; 0) = x(x

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