Using MultiPrecisonArrays.jl: Iterative Refinement in Julia

ctkelley/multiprecisionarrays.jl 24 Nov 2023

MultiPrecisionArrays. jl is a Julia package.

Numerical Analysis Numerical Analysis 65F05, 65F10, 45B05, 45G10

0
24 Nov 2023

New efficient ADMM algorithm for the Unit Commitment Problem

rogierhans/ucbenchmark 22 Nov 2023

For the case with quadratic generation cost our algorithm is significantly faster than solving the problem by a state-of-the-art MIL(Q)P formulation.

Optimization and Control

1
22 Nov 2023

A frame approach for equations involving the fractional Laplacian

ioannispapapadopoulos/fractionalframes.jl 21 Nov 2023

Exceptionally elegant formulae exist for the fractional Laplacian operator applied to weighted classical orthogonal polynomials.

Numerical Analysis Numerical Analysis

0
21 Nov 2023

Generalized extrapolation methods based on compositions of a basic 2nd-order scheme

lshaw8317/generalized-extrapolation-methods 20 Nov 2023

We propose new linear combinations of compositions of a basic second-order scheme with appropriately chosen coefficients to construct higher order numerical integrators for differential equations.

Numerical Analysis Numerical Analysis

0
20 Nov 2023

New examples and partial classification of 15-vertex triangulations of the quaternionic projective plane

agaif/triangulations-like-op2 19 Nov 2023

We prove that, up to isomorphism, there are exactly 75 traingulations of $\mathbb{HP}^2$ with 15 vertices and symmetry group of order at least 4: the three Brehm-K\"uhnel triangulations and the 72 new triangulations listed above.

Combinatorics Computational Geometry Geometric Topology 57Q15, 57Q70, 05E45, 55M35

1
19 Nov 2023

Well-posedness of first-order acoustic wave equations and space-time finite element approximation

tofuuhh/lsqwave 17 Nov 2023

We study a first-order system formulation of the (acoustic) wave equation and prove that the operator of this system is an isomorphsim from an appropriately defined graph space to L^2.

Numerical Analysis Numerical Analysis

0
17 Nov 2023

Explicit fractional Laplacians and Riesz potentials of classical functions

ioannispapapadopoulos/fractionalframes.jl 17 Nov 2023

We prove and collect numerous explicit and computable results for the fractional Laplacian $(-\Delta)^s f(x)$ with $s>0$ as well as its whole space inverse, the Riesz potential, $(-\Delta)^{-s}f(x)$ with $s\in\left(0,\frac{1}{2}\right)$.

Numerical Analysis Numerical Analysis

0
17 Nov 2023

Super-resolved Lasso

gpeyre/superresolvedlasso 16 Nov 2023

Inspired by the Continuous Basis Pursuit (C-BP) method, our approach introduces an extra parameter to account for the shift of the sources between grid locations.

Optimization and Control

2
16 Nov 2023

Geometry of first nonempty Terracini loci

d-torrance/terracini-loci 15 Nov 2023

After a few results on curves, we characterize the smallest nonempty Terracini loci of Veronese and Segre-Veronese varieties.

Algebraic Geometry

0
15 Nov 2023

Multi-stage Euler-Maruyama methods for backward stochastic differential equations driven by continuous-time Markov chains

kanekoakihiro/emctmcbsde 15 Nov 2023

Numerical methods for computing the solutions of Markov backward stochastic differential equations (BSDEs) driven by continuous-time Markov chains (CTMCs) are explored.

Probability Numerical Analysis Numerical Analysis Mathematical Finance

0
15 Nov 2023