Multigrid methods for 3$D$ $H(\mathbf{curl})$ problems with nonoverlapping domain decomposition smoothers

duksoon-open/mg_nd 12 May 2022

We propose V--cycle multigrid methods for vector field problems arising from the lowest order hexahedral N\'{e}d\'{e}lec finite element.

Numerical Analysis Numerical Analysis

0
12 May 2022

Numerical method for approximately optimal solutions of two-stage distributionally robust optimization with marginal constraints

qikunxiang/twostagedrowmarginals 11 May 2022

The ambiguity set is constrained by fixed marginal distributions that are not necessarily discrete.

Optimization and Control Numerical Analysis Numerical Analysis Probability

0
11 May 2022

Peel-and-Bound: Generating Stronger Relaxed Bounds with Multivalued Decision Diagrams

isaacrudich/pnb_sop 11 May 2022

Decision diagrams are an increasingly important tool in cutting-edge solvers for discrete optimization.

Optimization and Control 90-08

1
11 May 2022

Finite Elements with Switch Detection for Direct Optimal Control of Nonsmooth Systems

nurkanovic/nosnoc 11 May 2022

The efficacy of FESD in demonstrated on several simulation and optimal control examples.

Optimization and Control 34A36, 49M25, 49Q12, 65L99, 49M37

7
11 May 2022

Optimizing a DIscrete Loss (ODIL) to solve forward and inverse problems for partial differential equations using machine learning tools

cselab/odil 10 May 2022

We introduce the Optimizing a Discrete Loss (ODIL) framework for the numerical solution of Partial Differential Equations (PDE) using machine learning tools.

Numerical Analysis Numerical Analysis Computational Physics

7
10 May 2022

Consensus based optimization via jump-diffusion stochastic differential equations

akashspace/consensus-based-opmization 10 May 2022

We introduce a new consensus based optimization (CBO) method where interacting particle system is driven by jump-diffusion stochastic differential equations.

Probability Numerical Analysis Numerical Analysis Optimization and Control 60H10 90C26 65C30 65C35 60J76

0
10 May 2022

Deep Learning-based Schemes for Singularly Perturbed Convection-Diffusion Problems

agussomacal/condipinn 10 May 2022

Deep learning-based numerical schemes such as Physically Informed Neural Networks (PINNs) have recently emerged as an alternative to classical numerical schemes for solving Partial Differential Equations (PDEs).

Numerical Analysis Numerical Analysis

0
10 May 2022

Arkhipov's theorem, graph minors, and linear system nonlocal games

vprusso/graph_incidence_nonlocal_games 10 May 2022

We extend Arkhipov's theorem by showing that, for graph incidence games of connected two-coloured graphs, every quotient closed property of the solution group has a forbidden minor characterization.

Combinatorics Group Theory Quantum Physics

0
10 May 2022

Data-driven Tensor Train Gradient Cross Approximation for Hamilton-Jacobi-Bellman Equations

saluzzi/tt-gradient-cross 10 May 2022

A gradient-enhanced functional tensor train cross approximation method for the resolution of the Hamilton-Jacobi-Bellman (HJB) equations associated to optimal feedback control of nonlinear dynamics is presented.

Numerical Analysis Numerical Analysis Optimization and Control 15A69, 15A23, 65F10, 65N22, 49J20, 49LXX, 49MXX

0
10 May 2022

Towards a Geometric Understanding of the 4-Dimensional Point Groups

laisrast/point-groups 10 May 2022

We classify the finite groups of orthogonal transformations in 4-space, and we study these groups from the viewpoint of their geometric action, using polar orbit polytopes.

Metric Geometry

0
10 May 2022