Iterative Solver using CUDA for Poisson Equation

A high order solver for the unbounded Poisson equation

Article history: Received 21 July 2012 Received in revised form 24 February 2013 Accepted 31 May 2013 Available online 27 June 2013

A 3D Vector-Additive Iterative Solver for the Anisotropic Inhomogeneous Poisson Equation in the Forward EEG problem

We describe a novel 3D finite difference method for solving the anisotropic inhomogeneous Poisson equation based on a multi-component additive implicit method with a 13-point stencil. The serial performance is found to be comparable to the most efficient solvers from the family of preconditioned conjugate gradient (PCG) algorithms. The proposed multicomponent additive algorithm is unconditional...

Numerical Solution of Sawada-Kotera equation by using Iterative Methods

A generalized Poisson and Poisson-Boltzmann solver for electrostatic environments.

The computational study of chemical reactions in complex, wet environments is critical for applications in many fields. It is often essential to study chemical reactions in the presence of applied electrochemical potentials, taking into account the non-trivial electrostatic screening coming from the solvent and the electrolytes. As a consequence, the electrostatic potential has to be found by s...

Sparse-Matrix-CG-Solver in CUDA

This paper describes the implementation of a parallelized conjugate gradient solver for linear equation systems using CUDA-C. Given a real, symmetric and positive definite coefficient matrix and a right-hand side, the parallized cg-solver is able to find a solution for that system by exploiting the massive compute power of todays GPUs. Comparing sequential CPU implementations and that algorithm...