C&EN

The “Bubblepole” (BUPO) Method for Linear-Scaling Coulomb Matrix Construction with or without Density Fitting

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. In this work, we describe the development of a new algorithm for the computation of ...
JSTOR Daily

Computational Method Based on Bernstein Operational Matrices for Multi-Order Fractional Differential Equations

Abstract. In this paper, the Bernstein operational matrices are used to obtain solutions of multi-order fractional differential equations. In this regard we present a theorem which can reduce the ...
IEEE

GPU Accelerated Matrix Solution Using Novel Preconditioner for Three Dimensional Laguerre-FDTD Method

Abstract: Conventionally, the large sparse matrix equation ($Ax=b$) generated by the Laguerre-FDTD method is computed using direct matrix solvers, which is often ...
IEEE

Matrix Exponential Enhanced Symplectic FDTD method for Simulating Anisotropic Magnetically Biased Graphene Devices

Abstract: In this article, we propose a symplectic finite-difference time-domain (SFDTD) algorithm to model magnetically biased anisotropic graphene. The Dirac delta function is employed to represent ...
Scientific Research Publishing

An Extended Numerical Method by Stancu Polynomials for Solution of Integro-Differential Equations Arising in Oscillating Magnetic Fields ()

Department of Mathematics, Burdur Mehmet Akif University, Burdur, Turkey. Integro-differential equations are eligible equations in many science fields. Because many physical problems can be modelled ...
GitHub

1. Method for solving linear systems:

3. Iterative Methods for solving the EigenValue Problem: Iterative Methods known for solving the eigenvalue problem are: Rayleigh Quotient Iteration: finds the eigenvector and eigenvalue pair closest ...