Abstract: As one of the most important optimization methods for process optimal control, orthogonal collocation method has been widely used. However, this kind of optimization method is generally an ...

ABSTRACT: Finite element method (FEM) is an efficient numerical tool for the solution of partial differential equations (PDEs). It is one of the most general methods when compared to other numerical ...

Abstract: Orthogonal collocation methods are direct approaches for solving optimal control problems (OCP). A high solution accuracy is achieved with few optimization variables, making it more ...

This Microsoft Word beginner guide provides free & basic lessons, tutorials & fundamentals for learning MS Office Word software. Microsoft Word is everyone’s favorite text editor. With so many ...

Department of Mathematics and Statistics, Dr. H.S. Gour Vishwavidyalaya, Sagar, India. Though, some analytic solutions are introduced by several researchers which are mentioned here. In 1997, Mckee et ...

I have implemented a generic solver that uses projection methods to solve systems of non-linear differential equations with boundary conditions. Currently I have implemented collocation using ...

Due to a planned power outage on Friday, 1/14, between 8am-1pm PST, some services may be impacted. A line drawing of the Internet Archive headquarters building façade. An illustration of a magnifying ...

"* Go through Python/CasADi implementations for the direct collocation trajectory optimization examples given in Matthew Kelly's tutorial for trajectory optimization \\[1\\].\n", "* \\[1\\] goes ...

The freezing process is considered as a propagation problem and mathematically classified as an "initial value problem." The mathematical formulation involves a complex situation of heat transfer with ...

Article Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to ...