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Adaptive load balancing for massively parallel multi-level Monte Carlo solvers
(2013)Research ReportReport -
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Numerical Steepest Descent for Overlap Integrals of Semiclassical Wavepackets
(2015)Research ReportIn this report we show that classical Gauss quadrature is not adequate for a large class of correlation and overlap integrals originating from quantum mechanics. These integrals are usually highly oscillatory and therefore special methods are necessary for accurate computations. We develop and test a new, highly efficient method based on some recent results about numerical steepest descent to solve the problem stated. Our approach is built ...Report -
On generalization error estimates of physics informed neural networks for approximating dispersive PDEs
(2021)SAM Research ReportPhysics informed neural networks (PINNs) have recently been widely used for robust and accurate approximation of PDEs. We provide rigorous upper bounds on the generalization error of PINNs approximating solutions of the forward problem for several dispersive PDEs.Report -
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A GIS-based compilation of the erratic boulders of the Last Glacial Maximum in the Rhine Glacier system
(2016)Nagra Arbeitsbericht NAB ~ National Cooperative for the Disposal of Radioactive Waste Management and Environmental RestorationReport -
Russia as an Energy Power between Europe, the Middle East, and Asia
(2009)PONARS Eurasia Policy MemoReport -
Sparse wavelet methods for option pricing under stochastic volatility
(2004)Research ReportReport -
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Dual Mesh Operator Preconditioning On 3D Screens: Low-Order Boundary Element Discretization
(2016)Research ReportReport