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A high-order implicit-explicit additive Rung-Kutta time integrator is implemented in a particle-in-cell method based on a high-order discontinuous Galerkin Maxwell solver for the simulation of plasmas. The method enforces Gauss law by a hyperbolic divergen ...
Despite the popularity of high-order explicit Runge-Kutta (ERK) methods for integrating semi-discrete systems of equations, ERK methods suffer from severe stability-based time step restrictions for very stiff problems. We implement a discontinuous Galerkin ...
This paper presents a novel method to predict the outdoor ground surface temperature, which can be useful in the estimation of urban heat islands (UHI) eect. A model is developed based on a multi-layer ground surface energy balance calculated on an hourly ...
Numerical models of reactive solute transport in groundwater are often solved using an approximate two-step approach that separates the transport and reaction processes. Even though the transport and reaction steps are split, using a novel formulation it i ...
The spatial step size for the second-order accurate Muskingum-Cunge (M-C) method is determined by the spatial weighting factor. Both the spatial weighting factor and the time step must be selected judiciously to obtain accurate solutions. In this study, ac ...
Because of its simplicity and efficiency, the Muskingum- Cunge (M-C) method is a widely used modelling tool applied to flood routing problems. However, in the M-C method, there is an infinite number of combinations of spatial and temporal step sizes for wh ...
The modeling of a system composed by a gas phase and organic aerosol particles, and its numerical resolution are studied. The gas-aerosol system is modeled by ordinary differential equations coupled with a mixed-constrained optimization problem. This coupl ...
Correct prediction of analyte concentrations from a new spectrum without drift is possible provided the spectrum lies in the row space spanned by the calibration spectra (space-inclusion condition). However, this condition may be violated as on-line spectr ...
The time-dependent Stokes problem is solved using continuous, piecewise linear finite elements and a classical stabilization procedure. Four order-one methods are proposed for the time discretization. The first one is nothing but the Euler backward scheme ...
We present a general 3-D spectral collocation method for the analysis of diffractive optical elements (DOEs). The method computes a direct solution to the Maxwell's equations in the time domain. The computational domain is decomposed into a number of small ...
