sparse_2014_fsu
sparse_2014_fsu,
"Sparse Grid Collocation for Uncertainty Quantification",
a talk to Max Gunzburger's research group
at Florida State University, on 13 February 2014.
The following files were used:
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cc_d3_level2.png,
the abscissas of the level 2, dimension 3 Clenshaw Curtis sparse grid.
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cc_level2_closeup.png,
a precision plot for the level 2, dimension 2 Clenshaw Curtis sparse grid.
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cc_level3_closeup.png,
a precision plot for the level 3, dimension 2 Clenshaw Curtis sparse grid.
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cc_level4_closeup.png,
a precision plot for the level 4, dimension 2 Clenshaw Curtis sparse grid.
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cc_sequence.png,
displays the nesting behavior of the chosen set of Clenshaw Curtis rules.
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ccs_level4_closeup.png,
a precision plot for the level 4, dimension 2 "slow" Clenshaw Curtis sparse grid.
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d10_con.png,
integration test with Genz "Continous" function for dimension 10.
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d10_cpeak.png,
integration test with Genz "Corner Peak" function for dimension 10.
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d10_discon.png,
integration test with Genz "Discontinous" function for dimension 10.
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d10_gauss.png,
integration test with Genz "Gaussian" function for dimension 10.
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d10_oscill.png,
integration test with Genz "Oscillatory" function for dimension 10.
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d10_plots.m,
MATLAB code to produce the Genz plots for dimension 10.
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d10_ppeak.png,
integration test with Genz "Product Peak" function for dimension 10.
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d6_con.png,
integration test with Genz "Continous" function for dimension 6.
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d6_cpeak.png,
integration test with Genz "Corner Peak" function for dimension 6.
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d6_discon.png,
integration test with Genz "Discontinous" function for dimension 6.
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d6_gauss.png,
integration test with Genz "Gaussian" function for dimension 6.
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d6_oscill.png,
integration test with Genz "Oscillatory" function for dimension 6.
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d6_plots.m,
MATLAB code to produce the Genz plots for dimension 6.
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d6_ppeak.png,
integration test with Genz "Product Peak" function for dimension 6.
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diffusion_mc.png, error plots for the diffusion equation, Monte Carlo estimates.
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diffusion_mc_and_sg.png,
error plots for the diffusion equation, Monte Carlo and sparse grid estimates.
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diffusion_plot.m, a MATLAB program to create the error plots for the diffusion
equation.
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diffusivity_plots.png, two plots of stochastic diffusivity fields.
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fsu_logo.pdf,
a logo for FSU.
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fuel_rod.png,
schematic of a nuclear fuel rod in a retaining grid.
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ghxcc_level4.png, a plot of a 2D sparse grid formed from Gauss Hermite
rules in X and Clenshaw Curtis rules in Y.
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grid_04.png, the abscissas of the sparse grid A(2,2).
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ncc_5x5x5.png, the abscissas for a 5x5x5 Newton-Cotes rule.
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orion.png, an illustration of the flight of the Orion space vehicle.
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ornl_logo.pdf,
a logo for ORNL.
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pce_flow.png, velocity field for Boussinesq flow with error bars.
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pce_heat.png, temperature field for Boussinesq flow with error bars.
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ppeak_plot.m, MATLAB code to create a plot of Genz's product
peak function.
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ppeak_plot.png, Genz's product peak integrand function.
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product_grids2.png,
the product grids used to construct a sparse grid.
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wavelet1.png,
sample wavelets.
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wavelet2.png,
sample wavelets.
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wing_load_test.png,
a photograph of an airplane undergoing the wing load test.
Last revised on 07 February 2024.