The problem of the region of stability of the fourth order-Runge-Kutta method for the solution of systems of differential equations is studied. This region can be characterized by means of linear ...

Finite element methods provide a robust, mature family of discretizations for partial differential equations, as they provide rigorous theory, general geometry, and fast solvers. Modern trends in ...

There are many methods available to fit random-effects meta-analysis. However, until 2024, the only option available in RevMan has been the DerSimonian and Laird random-effects method. This method is ...

YASK--Yet Another Stencil Kit: a domain-specific language and framework to create high-performance stencil code for implementing finite-difference methods and similar applications.

Abstract: An explicit Runge-Kutta (RK) method with an extended stability region (ESR) can be constructed based on an RK method with a stability function corresponding to the Taylor series for the ...

Problems with components that feature significantly different time scales, where the stiff time-step restriction comes from a linear component, implicit-explicit (IMEX) methods alleviate this ...

1 Department of Mathematics, Lagos State University, Lagos, Nigeria. 2 Department of Mathematics, Federal College of Education (Technical), Lagos, Nigeria. During the last few decades, there has been ...