Publication
Probabilistic and Bayesian methods for uncertainty quantification of deterministic and stochastic differential equations
Related publications (463)
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Accurately estimating 3D human pose (3D HPE) and joint locations using only 2D keypoints is challenging. The noise in the predictions produced by conventional 2D human pose estimators often impeded the accuracy. In this paper, we present a diffusion-based ...
Los Alamitos2023Adaptive analysis-aware defeaturing
Annalisa Buffa, Rafael Vazquez Hernandez, Ondine Gabrielle Chanon
Removing geometrical details from a complex domain is a classical operation in computer aided design for simulation and manufacturing. This procedure simplifies the meshing process, and it enables faster simulations with less memory requirements. But depen ...
2022Adaptive analysis-aware defeaturing
Removing geometrical details from a complex domain is a classical operation in computer aided design for simulation and manufacturing. This procedure simplifies the meshing process, and it enables faster simulations with less memory requirements. However, ...
EPFL2022Explicit Stabilized Multirate Method For Stiff Differential Equations
Assyr Abdulle, Giacomo Rosilho De Souza
Stabilized Runge???Kutta methods are especially efficient for the numerical solution of large systems of stiff nonlinear differential equations because they are fully explicit. For semi-discrete parabolic problems, for instance, stabilized Runge???Kutta me ...
AMER MATHEMATICAL SOC2022Conservation of Forces and Total Work at the Interface Using the Internodes Method
The Internodes method is a general purpose method to deal with non-conforming discretizations of partial differential equations on 2D and 3D regions partitioned into disjoint subdomains. In this paper we are interested in measuring how much the Internodes ...
2022Stabilized isogeometric discretizations on trimmed and union geometries, and weak imposition of the boundary conditions for the Darcy flow
Modern manufacturing engineering is based on a ``design-through-analysis'' workflow. According to this paradigm, a prototype is first designed with Computer-aided-design (CAD) software and then finalized by simulating its physical behavior, which usually i ...
EPFL2022An analytical solution of the isentropic vortex problem in the special relativistic magnetohydrodynamics
The isentropic vortex problem is frequently solved to test the accuracy of numerical methods and verify corresponding code. Unfortunately, its existing solution was derived in the relativistic magnetohydrodynamics by numerically solving an ordinary differe ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2022Fast global spectral methods for three-dimensional partial differential equations
Daniel Kressner, Christoph Max Strössner
Global spectral methods offer the potential to compute solutions of partial differential equations numerically to very high accuracy. In this work, we develop a novel global spectral method for linear partial differential equations on cubes by extending th ...
OXFORD UNIV PRESS2022PDE-Aware Deep Learning for Inverse Problems in Cardiac Electrophysiology
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In this work, we present a PDE-aware deep learning model for the numerical solution to the inverse problem of electrocardiography. The model both leverages data availability and exploits the knowledge of a physically based mathematical model, expressed by ...
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We present TimeEvolver, a program for computing time evolution in a generic quantum system. It relies on well-known Krylov subspace techniques to tackle the problem of multiplying the exponential of a large sparse matrix iH, where His the Hamiltonian, with ...
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