JSTOR Daily

Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term

SIAM Journal on Numerical Analysis, Vol. 46, No. 1 (2007/2008), pp. 344-364 (21 pages) New numerical techniques are presented for the solution of a class of linear partial integro-differential ...
JSTOR Daily

AN ALTERNATING DIRECTION IMPLICIT BACKWARD DIFFERENTIATION ORTHOGONAL SPLINE COLLOCATION METHOD FOR LINEAR VARIABLE COEFFICIENT PARABOLIC EQUATIONS

We present a new fully discrete method to solve a linear variable coefficient parabolic equation on a rectangular region. The scheme is an alternating direction implicit method which uses the third ...
IEEE

Efficient algorithm or 3-D thermal alternating-direction-implicit method

Abstract: This paper presents a new efficient algorithm or 3-D thermal alternating-drection-implicit method. Douglas Gunn alternating-direction-implicit (DG-ADI) method is formulated into efficient ...
IEEE

Transient electromagnetic-thermal simulation of debye media using alternating-direction-implicit method

Abstract: The transient electromagnetic-thermal simulation of Debye media is carried out using the alternating-direction-implicit (ADI) method. The frequency-dependent and temperature-dependent ...
Scientific Research Publishing

Development of Lanchester-Type Spatial Models with Obtaining Localized Solutions for the Interaction of Two Groups ()

This paper presents an advanced mathematical framework for modeling combat dynamics between two opposing forces using nonlinear reaction-diffusion equations. Extending classical Lanchester models, we ...
Nature

Finite-Difference Time-Domain Methods in Electromagnetic Simulation

Finite-Difference Time-Domain (FDTD) methods have become a cornerstone in the simulation of electromagnetic phenomena, enabling researchers to solve Maxwell’s equations through discretisation in both ...