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PDE Approximation on Deterministic Burgers evolution Q=0
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0.0092
Value at x=0
Algorithm 1 (QHPDE)
-0.00037
0.002126
0.004621
0.007116
Mar 19, 2026
Value at x=0
Value at x=sin(xi)/sqrt(pi)
Value at x=sin(2xi)/sqrt(pi)
Value at x=sin(3xi)/sqrt(pi)
Value at x=(xi/2pi)(2pi-xi)
Value at x=1-cos(xi)
Value at x=1-cos(2xi)
Value at x=1/sqrt(2pi)
Updated 27d ago
Evaluation Results
Method
Method
Links
Value at x=0
Value at x=sin(xi)/sqrt(pi)
Value at x=sin(2xi)/sqrt(pi)
Value at x=sin(3xi)/sqrt(pi)
Value at x=(xi/2pi)(2pi-xi)
Value at x=1-cos(xi)
Value at x=1-cos(2xi)
Value at x=1/sqrt(2pi)
Algorithm 1 (QHPDE)
noise=Q=0
2026.03
0.0092
0.3434
0.4512
0.4636
1.475
1.781
2.428
0.2213
Monte Carlo Finite Difference
noise=Q=0, points=251,...
2026.03
0
0.3338
0.4446
0.4739
1.456
1.755
2.504
0.2184
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