The method is second-order accurate in time and space.

Numerical Analysis Numerical Analysis 35L65, 65M60, 65M12, 65N30

We start with the simple setting of optimizing power flows in a static network, and then proceed to the case of optimizing dynamic power flows, i. e., power flows that change with time over a horizon.

Optimization and Control Portfolio Management

PySINDy is a Python package for the discovery of governing dynamical systems models from data.

Dynamical Systems Computational Physics

In this paper we study nonconvex and nonsmooth optimization problems with semi-algebraic data, where the variables vector is split into several blocks of variables.

Optimization and Control

We also study the problem without restriction on the optimal plan, and provide lower and upper bounds for the value of the Gromov-Wasserstein distance between Gaussian distributions.

Probability

First of all, the authors focused on the program of a two-semester course of lectures on convex optimization, which is given to students of MIPT.

Optimization and Control Numerical Analysis Numerical Analysis 65-01, 90-01, 65K05, 90C30, 90C90 G.1.6

The state of numerical computing is currently characterized by a divide between highly efficient yet typically cumbersome low-level languages such as C, C++, and Fortran and highly expressive yet typically slow high-level languages such as Python and MATLAB.

Optimization and Control Numerical Analysis Programming Languages

We express both the numerical simulations and DNNs using computational graphs and therefore, we can calculate the gradients using reverse-mode automatic differentiation.

Numerical Analysis Numerical Analysis

A fully (pseudo-)spectral solver for direct numerical simulations of large-scale turbulent channel flows is described.

Numerical Analysis Numerical Analysis Fluid Dynamics

Motivated by a real case in Singapore, we consider a POP-Locker Alliance who operates a set of POP-stations and wishes to improve the last-mile delivery by opening new locker facilities.

Optimization and Control