The size and complexity of energy system optimization models have increased significantly in recent years, driven by the availability of high-resolution spatial data. We present complexity reduction ...

Runge-Kutta methods are widely used and popular solutions method for scientific simulations based on differential equations and, thus, their efficient execution is crucial for many applications. Today ...

In this paper, a graph-theory-based approach for representing planar mechanisms is presented, the Santiago Portilla method (SPM). From the corresponding adjacency matrix, SPM generates an extended ...

This paper presents an alternative representation of exergy that can be used for process design in particular for low temperature processes such as the liquefaction of natural gas. The procedure ...

Model velocities were linearly interpolated in space and time and the particle's advection was calculated using a 4th order Runge–Kutta algorithm. As sea lice larvae use their limited swimming ...

First order PDE in two variables: the method of characteristics, the transversality condition, quasilinear equations and shock waves, conservation laws, the entropy condition, applications to traffic ...

High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support. julia high-performance-computing ...