Sökning: "approximate solutions to systems of linear equations"

Visar resultat 6 - 10 av 14 avhandlingar innehållade orden approximate solutions to systems of linear equations.

  1. 6. Aspects of viscous shocks

    Författare :Malin Siklosi; GUnilla Kreiss; Smadar Karni; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Numerical analysis; hyperbolic conservation laws; viscous shocks; modified equation; shock capturing; computer-assisted proofs; Numerisk analys; Numerical analysis; Numerisk analys;

    Sammanfattning : This thesis consists of an introduction and five papers concerning different numerical and mathematical aspects of viscous shocks. Hyperbolic conservation laws are used to model wave motion and advect- ive transport in a variety of physical applications. LÄS MER

  3. 7. A high order method for simulation of fluid flow in complex geometries

    Författare :Erik Stålberg; KTH; []
    Nyckelord :Technology; Navier-Stokes equations; compact high order difference methods; approximate factorization; curivilinear staggered grids; TEKNIKVETENSKAP; TECHNOLOGY; TEKNIKVETENSKAP;

    Sammanfattning : A numerical high order difference method is developed for solution of the incompressible Navier-Stokes equations. The solution is determined on a staggered curvilinear grid in two dimensions and by a Fourier expansion in the third dimension. LÄS MER

  4. 8. Approximate Dynamic Programming with Applications

    Författare :Andreas Wernrud; Institutionen för reglerteknik; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY;

    Sammanfattning : This thesis studies approximate optimal control of nonlinear systems. Particular attention is given to global solutions and to the computation of approximately optimal feedback controllers. The solution to an optimal control problem is characterized by the optimal value function. LÄS MER

  5. 9. Adaptivity for Stochastic and Partial Differential Equations with Applications to Phase Transformations

    Författare :Erik von Schwerin; Anders Szepessy; Desmond Higham; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Numerical analysis; Numerisk analys;

    Sammanfattning : his work is concentrated on efforts to efficiently compute properties of systems, modelled by differential equations, involving multiple scales. Goal oriented adaptivity is the common approach to all the treated problems. LÄS MER

  7. 10. Parallelizing the Method of Conjugate Gradients for Shared Memory Architectures

    Författare :Henrik Löf; Jarmo Rantakokko; Erik Hagersten; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Beräkningsvetenskap; Scientific Computing;

    Sammanfattning : Solving Partial Differential Equations (PDEs) is an important problem in many fields of science and engineering. For most real-world problems modeled by PDEs, we can only approximate the solution using numerical methods. Many of these numerical methods result in very large systems of linear equations. LÄS MER