Newton systems in quadratic programming (QP) methods are often solved using direct Cholesky or LDL factorizations.
Optimization and Control Systems and Control Systems and Control 49M15, 65F05
We establish interleaving guarantees for the monoidal Rips persistent homology, capturing existing stability results for real-valued networks.
Algebraic Topology Computational Geometry 55N31, 62R40, 55U10
We present an approach to solving unconstrained nonlinear optimal control problems for a broad class of dynamical systems.
Optimization and Control Numerical Analysis Numerical Analysis
We present a novel application of a recently-proposed matrix-parametrized proximal splitting method to sensor network localization, the problem of estimating the locations of a set of sensors using only noisy pairwise distance information between the sensors.
Optimization and Control Signal Processing 65K10, 90C22, 49M27, 90B18
The construction of stable, conservative, and accurate volume dissipation is extended to discretizations that possess a generalized summation-by-parts (SBP) property within a tensor-product framework.
Numerical Analysis Numerical Analysis 65M06 (Primary) 65M12, 65M70, 65N06, 65N12, 65N35, 76M20, 76M22 (Secondary)
Recent advances have made numeric debugging tools much faster by using double-double oracles, and numeric analysis tools much more accurate by using condition numbers.
Numerical Analysis Numerical Analysis
In this paper, we establish Betti number estimates for graphs with non-negative Ollivier curvature, and for graphs with non-negative Bakry-\'Emery curvature, providing a discrete analogue of a classical result by Bochner for manifolds.
Combinatorics Algebraic Topology Differential Geometry 18G85, 53C21, 05C81, 05C75
Our methods, relying on rational approximation, aim at building surrogate models of what we call "field amplification", defined as the norm of the solution operator of the scattering problem, which we express through boundary-integral equations.
Numerical Analysis Numerical Analysis Mathematical Physics Mathematical Physics 35B34, 35J05, 41A20, 65N38
In this series of papers, we established that $Q^{\gamma_3}_{d=4}(P)$ is a coboundary in 4D (paper II arXiv:2409. 12555), and we presented a series of experimental results about the (non)trivialisation of Kontsevich graph flows of Nambu--Poisson brackets on $\mathbb{R}^d$ (paper IV).
Combinatorics Quantum Algebra Symplectic Geometry 53D55, 17B63, 05C22, 68R10, 53D17
We study convective stability of a two-front superposition in a reaction-diffusion system.
Analysis of PDEs Pattern Formation and Solitons 35C07, 35B35 (Primary), 35G35, 35K57, 35B36, 37C60 (Secondary)
