Essays about: "equation error method"

Showing result 6 - 10 of 45 essays containing the words equation error method.

  1. 6. Investigation of the mean photon energy in Kompaneets spectra

    University essay from KTH/Fysik

    Author : Richárd Bagi; [2023]
    Keywords : Astroparticle Physics; Kompaneets equation; Astropartikelfysik; Kompaneetsekvationen;

    Abstract : The Kompaneets equation describes the spectrum formation when hot fermions are injected into an opaque fermion-photon plasma in thermal equilibrium and inverse Compton-scatterings occur. The equation has three free parameters, the initial plasma thermal energy θ_u, the final plasmathermal energy θ_r and the average photon energy gain y_r. READ MORE

  3. 7. Solving Differential Equations using Data-Driven Adaptive Numerical Method

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : William Nguyen; Sirui Li; [2022]
    Keywords : ;

    Abstract : Accuracy and efficiency have always been of great concern when solving differential equations. One approach to improve accuracy is by introducing a neural network, whose role is to learn the local truncation error (LTE) of a numerical method. READ MORE

  4. 8. Discontinuous Galerkin Method for Liquid Chromatography Modelling

    University essay from Umeå universitet/Institutionen för fysik

    Author : Sara Culligan; [2022]
    Keywords : ;

    Abstract : Chromatography is a separation technique used predominantly by the medical industry in purification and extraction of components in a solution. The setup is a column filled with resin particles where a solution of two components is filtered and separated due to different rates of interaction with the resin particles. READ MORE

  5. 9. Conservative Discontinuous Cut Finite Element Methods: Convection-Diffusion Problems in Evolving Bulk-Interface Domains

    University essay from KTH/Matematik (Inst.)

    Author : Sebastian Myrbäck; [2022]
    Keywords : numerical analysis; mathematical modeling; convection-diffusion equation; partial differential equation; unfitted method; CutFEM; finite element method; discontinuous Galerkin method; numerisk analys; matematisk modellering; konvektions-diffusionsekvationer; partiella differentialekvationer; finita elementmetoden; diskontinuerliga Galerkinmetoden;

    Abstract : This work entails studying unfitted finite element discretizations for convection-diffusion equations in domains that evolve in time. In particular, these partial differential equations model the evolution of the concentration of soluble surfactants in bulk-interface domains. READ MORE

  6. 10. Comparing Three Numerical Methods For Solving The 1D Time Dependent Schrödinger Equation

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Atabak Fathe Jalali; Hugo Åkesson; [2021]
    Keywords : ;

    Abstract : The purpose of this thesis is to implement three numerical methods for solving and examining the time-dependent Schrödinger equation (TDSE) of the analytically solved quantum harmonic oscillator (QHO) and the, to our knowledge, analytically unsolved double well potential (DW), and to compare the numerical solutions. These methods are the Crank-Nicolson method and two split operator methods of different orders. READ MORE