The numerical integration of stiff equations is a challenging problem that needs to be approached by specialized numerical methods. Exponential integrators form a popular class of such methods since ...

What if the Big Bang wasn’t truly the beginning? A team of cosmologists is using the power of supercomputers to push past the limits of Einstein’s equations and explore mysteries once thought ...

Abstract: A numerical approximation method for the valuation of multivariate contingent claims is presented. It extends the Trigeorgis' (1991) log-transformed binomial approach for one asset to more ...

This study presents an (ε, μ)−uniform numerical method for a two-parameter singularly perturbed time-delayed parabolic problems. The proposed approach is based on a fitted operator finite difference ...

ABSTRACT: The behavior of beams with variable stiffness subjected to the action of variable loadings (impulse or harmonic) is analyzed in this paper using the successive approximation method. This ...

The man gazes straight ahead, his eyes as dark as coals. His nose juts prominently from his tan face, which has become creased with wrinkles over time. Tufts of gray hair sprout from his balding head.

Mathematical and computational models of biological systems are increasingly complex, typically comprised of hybrid multi-scale methods such as ordinary differential equations, partial differential ...