This project explores and implements a wide range of classical and advanced techniques in the field of numerical analysis and differential equations, combining symbolic computation, custom numerical ...

Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical ...

In this paper, we consider a class of k-step linear multistep methods in the form (1.1) of numerical differentiation (N.D.) formulas. For each k, we have required the property of A-stability which ...

This is a preview. Log in through your library . Abstract Finite difference methods, such as the mid-point rule, have been applied successfully to the numerical solution of ordinary and partial ...

Abstract: High-fidelity building energy simulation models are established on well-known physical laws and attempt to faithfully represent a real building. The numerical solution of differential ...

An error analysis of approximation of deltas (derivatives of the solution to the Cauchy problem for parabolic equations) by finite differences is given, taking into ...