Mathematics of Computation, Vol. 59, No. 200 (Oct., 1992), pp. 403-420 (18 pages) We apply Runge-Kutta methods to linear partial differential equations of the form u t (x, t) = L (x, ∂)u(x, t) + f(x, ...

Abstract: Rapid development of semi-implicit and semi-explicit integration techniques allowed to create relatively stable and efficient extrapolation and composition ODE solvers. However, there are ...

Many of today’s most pressing scientific and engineering challenges, from modeling the future effects of climate change to simulating financial systems under stress, depend on the accurate solution of ...

This is a preview. Log in through your library . Abstract We consider the numerical solution of boundary value problems for general neutral functional differential equations by the collocation method.

ABSTRACT: Fractional-order time-delay differential equations can describe many complex physical phenomena with memory or delay effects, which are widely used in the fields of cell biology, control ...

Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...

In this research field we are developing advanced computational methods centered around efficient solution strategies for partial differential equations. In numerical analysis, we focus on developing ...

ABSTRACT: Beam is one of the common structures in engineering, with the development of technology, homogeneous beams no longer meet the needs of engineering structural design, for this reason, people ...

Abstract: This communication proposes an improved energy technique for the convergence and stability analysis of upwind-flux-based discontinuous Galerkin time-domain (DGTD) method. By formulating the ...

This repository showcases two major projects developed during the course Numerical Methods for PDEs, aiming to solve and analyze various physical problems using the Finite Element Method (FEM). The ...