Essays about: "weak and strong approximation"

Found 4 essays containing the words weak and strong approximation.

1. 1. The effect of disorder on the axial anomaly in a lattice model in 1 + 1 dimensions

   University essay from KTH/Fysik

   Author : Agnes Wattrang; [2023]
   Keywords : Axial anomaly; tight-binding model; semiclassical physics; correlated disorder.; Axial kiral anomali; tätbindningsmodell; semiklassisk fysik; korrelerad oordning;

   Abstract : This work investigates the effect of a disorder potential, that represents impurities/dislocations in the lattice, on the time-dependent signature of the axial anomaly in a one-band tight-binding model in one spatial dimension. The tight-binding model is solved numerically and the simulation results are compared with a semiclassical expression for the time-dependent axial density, n5(t), due to Nielsen and Ninomiya [1]. READ MORE

3. 2. An operator theoretic approach to the Riemann Hypothesis

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

   Author : Ramon Arjan van de Scheur; [2023]
   Keywords : Riemann hypothesis; Prime number theorem; Prime number theorem for arithmetic progressions; operator theoretic equivalent; compact operator; prime-counting function; Chebyshev function; Laplace transform; Fourier transform; convolution operator; weak topology; strong topology; compact perturbation; Tauberian theorem; Poisson kernel; holomorphic; self-adjoint; spectrum; trace; Mathematics and Statistics;

   Abstract : In 2023 an operator theoretic approach to the Prime Number Theorem was introduced by Olsen. In this thesis this approach is examined and applied to give a new, operator theoretic, proof of a different version of the Prime Number Theorem and of the Prime Number Theorem for arithmetic progressions. READ MORE

4. 3. Relationship between Shear-Wave Velocity and Consolidation Parameters of Peat

   University essay from Lunds universitet/Geoteknik; Lunds universitet/Institutionen för byggvetenskaper

   Author : Oskar Markström; [2018]
   Keywords : shear wave velocity; peat; constant rate of strain; consolidation parameters; von Post; Technology and Engineering;

   Abstract : There is a need of developing methods for evaluating material parameters for peat. It is hard and costly to obtain undisturbed samples for laboratory testing of the peat. Therefore, in this thesis the possibility of using in situ measurements of the shear wave velocity for first order estimates of the consolidation parameters has been investigated. READ MORE

5. 4. Stochastic Partial Differential Equations with Multiplicative Noise - Numerical simulations of strong and weak approximation errors

   University essay from Göteborgs universitet/Institutionen för matematiska vetenskaper

   Author : Andreas Petersson; [2015-06-23]
   Keywords : ;

   Abstract : A finite element Galerkin spatial discretization together with a backward Euler scheme is implemented to simulate strong error rates of the homogeneous stochastic heat equation with multiplicative trace class noise in one dimension. For the noise, two different operators displaying different degrees of regularity are considered, one of which is of Nemytskii type. READ MORE