Essays about: "Stiff differential equations"

Found 5 essays containing the words Stiff differential equations.

  1. 1. Multibody simulations of vibrations in a truck’s steering system

    University essay from KTH/Matematik (Avd.)

    Author : Marcus Didenbäck; [2023]
    Keywords : Multibody simulation; Vibrations; Stiff differential equations; Equations of motion; Lagrange; Vehicle dynamics; Adams; Flerkroppssimulering; Vibrationer; Styva differentialekvationer; Rörelseekva-tioner; Lagrange; Fordonsdynamik; Adams;

    Abstract : This thesis aims to explore if multibody simulations is a suitable method to investigate vibrations in the steering system of trucks. Vibrations in the steering system and subsequently in the steering wheel is a common issue that automotive manufacturers face. READ MORE

  3. 2. Solving Korteweg-de Vries equations with Discontinuous Galerkin methods

    University essay from Linköpings universitet/Tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Author : Markus Hellberg Mediaa; [2023]
    Keywords : Discontinuous Galerkin; Korteweg-de Vries; Conservation Laws; Partial Differential Equations; Numerical methods; Higher order spatial derivative; Heat Equation; Burgers’ Equation; Collocation; Lobatto Gauss Legendre; Stiffness; Nodal Approximation; Finite Volume; Finite Element;

    Abstract : In this thesis the Discontinuous Galerkin approximation performance applied to the Korteweg–de Vries equation is investigated. This equation is nonlinear with a third spatial derivative and can be used for shallow water movement. READ MORE

  4. 3. Comparing Multistep Methods Within Parametric Classes to Determine Viability in Solver Applications

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

    Author : Michael Andrew Kraut; [2021]
    Keywords : Ordinary Differential Equations; Initial Value Problems; Linear Multistep Methods; Numerical Analysis; Numerical Solvers; Parametrized; Algorithms; Control Theory; Mathematics and Statistics;

    Abstract : In the 2017 paper by Arévalo and Söderlind, a framework was established for creating linear multistep methods of various classes based on a polynomial formulation which includes variable step size adaptivity. These classes are: k step explicit and implicit methods of order k and k+1 respectively for nonstiff problems (such as Adams methods), and k step implicit methods of order k for stiff problems (such as BDF methods). READ MORE

  5. 4. An Overview of Rosenbrock-Krylov Methods for the Numerical Solution of Ordinary Differential Equations

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

    Author : Jens Axelsson; [2021]
    Keywords : Rosenbrock-Krylov methods; Rosenbrock methods; Krylov subspace methods; stiff ODEs; Mathematics and Statistics;

    Abstract : This thesis offers an overview of the relatively new family of Rosenbrock-Krylov numerical methods for ODEs. These methods are a further development of Rosenbrock methods, using a lower-dimension approximation of the Jacobian. READ MORE

  6. 5. Modeling of Engine and Driveline Related Disturbances on the Wheel Speed in Passanger Cars

    University essay from Institutionen för systemteknik; Tekniska högskolan

    Author : Robert Johansson; [2012]
    Keywords : Wheel speed disturbance; driveline model; engine model; torsional vibration; diesel;

    Abstract : The aim of the thesis is to derive a mathematical model of the engine and driveline in a passenger car, capable of describing the wheel speed disturbances related to the engine and driveline. The thesis is conducted in order to improve the disturbance cancelation algorithm in the indirect tire pressure monitoring system, TPI developed by NIRA Dynamics AB. READ MORE