Essays about: "Function Approximation"

Showing result 11 - 15 of 156 essays containing the words Function Approximation.

  1. 11. 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. 12. Riemann's Zeta Function and Prime Numbers : an approximation using von Mangoldt's explicit formula

    University essay from Umeå universitet/Institutionen för matematik och matematisk statistik

    Author : Jesper Jakobsson; [2023]
    Keywords : complex analysis; prime numbers; prime-counting function; zeta function; Riemann hypothesis; von Mangoldt s explicit formula;

    Abstract : This essay aims to explain the connection between Riemann's zeta function and prime numbers. It relies heavily on Riemann's 1859 manuscript, in which he approximates the prime-counting function using the non-trivial zeros of the zeta function. READ MORE

  4. 13. Relating the Arnoldi approximation to the best Chebyshev approximation of the characteristic polynomial - A study using a complex valued variant of the Remez algorithm

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

    Author : Thomas Renström; [2022]
    Keywords : Chebyshev; Arnoldi; Remez; Tang; approximation; matrix; complex; characteristic polynomial; Mathematics and Statistics;

    Abstract : The Remez algorithm is a beautiful algorithm that finds the best approximation to a function by finding points satisfying the alternation condition. In 1987 Ping Tang published his doctoral thesis detailing a version of the Remez algorithm modified for functions of complex values with complex coefficients. READ MORE

  5. 14. Approximation of Analytic Functions by Faber Polynomials, the Grunsky Matrix, and a Univalence Criterion

    University essay from KTH/Fysik

    Author : Mina Farag; [2022]
    Keywords : Faber polynomials; Approximation of functions; Grunsky matrix; univalence criterion;

    Abstract : The aim of this thesis is derive a set of polynomials defined on simply connected domains, the Faberpolynomials, in which all analytic function on the domain can be uniformly approximated. Importantconcepts and theorems such as isomorphisms, automorphisms and the Riemann mapping theorem areintroduced. Examples and applications are also included. READ MORE

  6. 15. Adaption of Inertial Confinement Fusion Resultsto Spherical Plasma Expansion at Comets

    University essay from Uppsala universitet/Institutionen för fysik och astronomi; Uppsala universitet/Institutet för rymdfysik, Uppsalaavdelningen

    Author : Viktor Sparrman; [2022]
    Keywords : Plasma; Inertial confinement fusion; comet; plasma expansion; Vlasov-Poisson; integral invariants; ergodicity;

    Abstract : Recent missions to solar system comets, such as ESA's Rosetta mission, raise interest for models and descriptions of their plasma environment. The interaction with various space phenomena such as stellar wind make the construction of an analytical description difficult. READ MORE