Now showing items 1-6 of 6
Accelerated Discontinuous Galerkin Solvers with the Chebyshev Iterative Method on the Graphics Processing Unit
This work demonstrates implementations of the discontinuous Galerkin (DG) method on graphics processing units (GPU), which deliver improved computational time compared to the conventional central processing unit (CPU). The ...
Accelerated High-Performance Compressive Sensing using the Graphics Processing Unit
This thesis demonstrates the advantages of new practical implementations of compressive sensing (CS) algorithms tailored for the graphics processing unit (CPU) using a software platform called Jacket. There exist many ...
Recovery of neuronal channel densities from calcium fluorescence
Neurons have the ability to dynamically adjust their own membrane channel densities to modulate the strength of communication with other neurons. This process is integral to such neuronal functions as spatial recognition ...
Refined Spectral Asymptotics for the Telegrapher's Equation
In this research, I derive a refined asymptotic expression for the eigenvalues, [Special characters omitted.] , of the operator matrix from the telegrapher's equation to accuracy O (1/ n 2). First, the expression for the ...
Discontinuous Galerkin Methods for Elliptic Partial Differential Equations with Random Coefficients
This thesis proposes and analyses two numerical methods for solving elliptic partial differential equations with random coefficients. The stochastic problem is first transformed into a parametrized one by the use of the ...
Approximate Multi-Parameter Inverse Scattering Using Pseudodifferential Scaling
I propose a computationally efficient method to approximate the inverse of the normal operator arising in the multi-parameter linearized inverse problem for reflection seismology in two and three spatial dimensions. Solving ...