Results 11 to 20 of about 2,530 (205)
Improved convergence and stability properties in a three-dimensional higher-order ice sheet model [PDF]
We present a finite difference implementation of a three-dimensional higher-order ice sheet model. In comparison to a conventional centred difference discretisation it enhances both numerical stability and convergence.
J. J. Fürst +5 more
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THE EULER NUMBER OF DISCRETISED SETS – SURPRISING RESULTS IN THREE DIMENSIONS
The problem of estimating the Euler-Poincare' characteristic (Euler number for short) of a set in the 3d Euclidean space is considered, given that this set is observed in the points of a lattice. In this situation, which is typical in image analysis, the
Joachim Ohser +2 more
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Multiple uncertainties complicate socio-economic forecasting problems, especially when relying on ill-conditioned limited data. Such problems are best addressed by grey prediction models such as Grey Verhulst Model (GVM).
Mohammad Hashem-Nazari +2 more
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Discretisation and Product Distributions in Ring-LWE
A statistical framework applicable to Ring-LWE was outlined by Murphy and Player (IACR eprint 2019/452). Its applicability was demonstrated with an analysis of the decryption failure probability for degree-1 and degree-2 ciphertexts in the homomorphic ...
Murphy Sean, Player Rachel
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The Gradient Discretisation Method [PDF]
This monograph is dedicated to the presentation of the gradient discretisation method (GDM) and to some of its applications. It is intended for masters students, researchers and experts in the field of the numerical analysis of partial differential equations.The GDM is a framework which contains classical and recent discretisation schemes for diffusion
Droniou, Jérôme +4 more
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Stochastic Hydrodynamics of Complex Fluids: Discretisation and Entropy Production
Many complex fluids can be described by continuum hydrodynamic field equations, to which noise must be added in order to capture thermal fluctuations.
Michael E. Cates +4 more
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Canonical momenta in digitized Su(2) lattice gauge theory: definition and free theory
Hamiltonian simulations of quantum systems require a finite-dimensional representation of the operators acting on the Hilbert space $$\mathcal {H}$$ H . Here we give a prescription for gauge links and canonical momenta of an SU(2) gauge theory, such that
Timo Jakobs +7 more
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The gradient discretisation method for the Navier–Stokes problem coupled with the heat equation
In this work, we extend the gradient discretisation method to the Navier–Stokes model coupled with the heat equation. The gradient discretisation method is a framework that covers different numerical methods, conforming and non conforming methods.
Yahya Alnashri
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lumpR 2.0.0: an R package facilitating landscape discretisation for hillslope-based hydrological models [PDF]
The characteristics of a landscape pose essential factors for hydrological processes. Therefore, an adequate representation of the landscape of a catchment in hydrological models is vital.
T. Pilz, T. Francke, A. Bronstert
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Discretisation of regularity structures [PDF]
We introduce a general framework allowing to apply the theory of regularity structures to discretisations of stochastic PDEs. The approach pursued in this article is that we do not focus on any one specific discretisation procedure. Instead, we assume that we are given a scale $\varepsilon > 0$ and a "black box" describing the behaviour of our ...
Erhard, D, Hairer, M
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