GitHub

Celestial Dynamics Iteration Methods

Comparing different numerical iteration techniques by tracing out the trajectories of massive celestial bodies. Coded in R. Iteration techniques include the Euler, Verlet and Runge-Kutta methods.
GitHub

keqing-liu/computational_methods_macro

This repository contains MATLAB implementations of various computational methods for solving dynamic macroeconomic models. All codes solve a standard Real Business Cycle (RBC) model using different ...
IEEE

Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems

Abstract: We construct a preconditioned modified Hermitian and skew-Hermitian splitting (PMHSS) iteration scheme for solving and preconditioning a class of block two-by-two linear systems arising from ...
Scientific Research Publishing

Polyak, T.B. (1964) Some Methods of Speeding up the Convergence of Iteration Methods. USSR Computational Mathematics and Mathematical Physics, 4, 1-17.

ABSTRACT: Proximal gradient descent and its accelerated version are resultful methods for solving the sum of smooth and non-smooth problems. When the smooth function can be represented as a sum of ...
Frontiers

Memory Efficient PCA Methods for Large Group ICA

Principal component analysis (PCA) is widely used for data reduction in group independent component analysis (ICA) of fMRI data. Commonly, group-level PCA of temporally concatenated datasets is ...
Scientific Research Publishing

U. Miekkala and O. Nevanlinna, “Convergence of Dy-namic Iteration Methods for Initial Value Problems,” SIAM Journal on Scientific and Statistical Computing, Vol. 8, No. 4 ...

ABSTRACT: In this paper, we investigate an accelerated version of the discrete-time Jacobi waveform relaxation iteration method. Based on the well known Chebyshev polynomial theory, we show that ...