This paper develops a new class of algorithms for general linear systems and eigenvalue problems.
Numerical Analysis Numerical Analysis 65F10, 65F15, 65F25
We present Optimization Engine (OpEn): an open-source code generation tool for real-time embedded nonconvex optimization, which implements a novel numerical method.
Optimization and Control Numerical Analysis Numerical Analysis
These lecture notes in the De Rham-Hodge theory are designed for a 1-semester undergraduate course (in mathematics, physics, engineering, chemistry or biology).
Differential Geometry Mathematical Physics Mathematical Physics
A novel approach is used to ensure homogeneous particle distributions and improved boundary conditions.
Numerical Analysis Numerical Analysis Computational Physics
The proposed reformulation does not introduce approximations, and applies to general obstacles and controlled objects that can be represented in an n-dimensional space as the finite union of convex sets.
Optimization and Control Robotics Systems and Control
The goal of this thesis is to prove that $\pi_4(S^3) \simeq \mathbb{Z}/2\mathbb{Z}$ in homotopy type theory.
Algebraic Topology Logic in Computer Science Logic
This work provides a brief introduction to the design of PowerModels, validates its implementation, and demonstrates its effectiveness with a proof-of-concept study analyzing five different formulations of the Optimal Power Flow problem.
Optimization and Control Computational Engineering, Finance, and Science
We introduce MathOptInterface, an abstract data structure for representing mathematical optimization problems based on combining pre-defined functions and sets.
Optimization and Control
In particular we consider a limited-angle computerized tomography problem, where a priori information is used to compensate for missing measurements.
Optimization and Control 49N45, 90C25, 94A08
We introduce the Probability package for Macaulay2, which provides an interface for users to compute probabilities and generate random variates from a wide variety of univariate probability distributions.
Algebraic Geometry Probability 60-04, 14-04
