Essays about: "polynomials"

Showing result 1 - 5 of 84 essays containing the word polynomials.

  1. 1. SECOND-ORDER DIVERGENCE-FREE FEM FOR MAGNETOHYDRODYNAMICS USING LAGRANGE POLYNOMIALS

    University essay from Uppsala universitet/Institutionen för informationsteknologi

    Author : Erik Björklund; Peter Mårtensson; Noah Waltman; [2023]
    Keywords : ;

    Abstract : AbstractMaxwell’s laws state that the divergence of a magnetic field always remains zero. In thecontinuous setting this is true for the magnetohydrodynamics equations. However, in thediscrete setting, the solution does not always remain divergence-free. READ MORE

  3. 2. Lateral Control of Heavy Vehicles

    University essay from KTH/Väg- och spårfordon samt konceptuell fordonsdesign

    Author : Aravind Jawahar; Lokesh Palla; [2023]
    Keywords : Path Tracking; Collision Avoidance; Pure Pursuit; Stanley; Linear Quadratic Regulator; Sliding Mode Control; Model Predictive Control; Path Tracking; Collision Avoiding; Pure Pursuit; Stanley; Linear Quadratic Regulator; Sliding Mode Control; Model Predictive Control;

    Abstract : The automotive industry has been involved in making vehicles autonomous to different levels in the past decade rapidly. Particularly in the commercial vehicle market, there is a significant necessity to make trucks have a certain level of automation to help reduce dependence on human efforts to drive. READ MORE

  4. 3. Discussion of Python Implementation Techniques for Discontinuous Galerkin Methods

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Author : Ulf Vestberg; [2023]
    Keywords : Best approximation; Orthogonal polynomials; Legendre polynomials; Integration; Full tensor product; Sum-factorization; Dune; Mathematics and Statistics;

    Abstract : This paper discusses implementation techniques for integration methods within the Discontinuous Galerkin Methods. These methods are used to approximate solutions for differential equations. To do so, one must compute a polynomial, which is an approximation of the used function. READ MORE

  5. 4. Constructing Subalgebras of K[x] Using the Minimal Polynomial

    University essay from Lunds universitet/Matematik LTH

    Author : Marianne Ljunggren; [2023]
    Keywords : Algebra; Subalgebra; Polynomial Algebra; Minimal Polynomial; Mathematics and Statistics;

    Abstract : In this report we will be working with subalgebras A of finite codimension in K[x]. It is known that such subalgebras can be expressed using a set of linear conditions evaluated at a finite set of points called the spectrum elements of A. READ MORE

  6. 5. A high-order artificial viscosity finite element method for the Vlasov-Poisson system

    University essay from Uppsala universitet/Institutionen för informationsteknologi

    Author : Junjie Wen; [2023]
    Keywords : ;

    Abstract : We introduce a finite element method with high-order accuracy for approximating the Vlasov-Poisson system. This method uses continuous Lagrange polynomials as basis functions and employs explicit Runge-Kutta schemes for time discretization. A residual-based artificial viscosity technique is applied for stabilization. READ MORE