Dispersion modeling of air pollutants in the atmosphere: a review
Modeling of dispersion of air pollutants in the atmosphere is one of the most important and
challenging scientific problems. There are several natural and anthropogenic events where …
challenging scientific problems. There are several natural and anthropogenic events where …
Strategies for efficient numerical implementation of hybrid multi-scale agent-based models to describe biological systems
Biologically related processes operate across multiple spatiotemporal scales. For
computational modeling methodologies to mimic this biological complexity, individual scale …
computational modeling methodologies to mimic this biological complexity, individual scale …
[图书][B] Computational and numerical challenges in environmental modelling
Many large mathematical models, not only models arising and used in environmental
studies, are described by systems of partial differential equations. The discretization of the …
studies, are described by systems of partial differential equations. The discretization of the …
[HTML][HTML] Numerical solutions for fractional reaction–diffusion equations
Fractional diffusion equations are useful for applications in which a cloud of particles
spreads faster than predicted by the classical equation. In a fractional diffusion equation, the …
spreads faster than predicted by the classical equation. In a fractional diffusion equation, the …
Advanced operator splitting-based semi-implicit spectral method to solve the binary phase-field crystal equations with variable coefficients
We present an efficient method to solve numerically the equations of dissipative dynamics of
the binary phase-field crystal model proposed by Elder et al.[KR Elder, M. Katakowski, M …
the binary phase-field crystal model proposed by Elder et al.[KR Elder, M. Katakowski, M …
Iterative operator-splitting methods for linear problems
The operator-splitting methods are based on splitting of the complex problem into a
sequence of simpler tasks. A useful method is the iterative splitting method which ensures a …
sequence of simpler tasks. A useful method is the iterative splitting method which ensures a …
[HTML][HTML] Iterative operator-splitting methods with higher-order time integration methods and applications for parabolic partial differential equations
J Geiser - Journal of Computational and Applied Mathematics, 2008 - Elsevier
In this paper we design higher-order time integrators for systems of stiff ordinary differential
equations. We combine implicit Runge–Kutta and BDF methods with iterative operator …
equations. We combine implicit Runge–Kutta and BDF methods with iterative operator …
Advanced stochastic approaches for Sobol'sensitivity indices evaluation
Sensitivity analysis is a modern promising technique for studying large systems such as
ecological systems. The main idea of sensitivity analysis is to evaluate and predict (through …
ecological systems. The main idea of sensitivity analysis is to evaluate and predict (through …
Corruption of accuracy and efficiency of Markov chain Monte Carlo simulation by inaccurate numerical implementation of conceptual hydrologic models
Conceptual rainfall‐runoff models have traditionally been applied without paying much
attention to numerical errors induced by temporal integration of water balance dynamics …
attention to numerical errors induced by temporal integration of water balance dynamics …
Analysis of the operator splitting scheme for the Allen–Cahn equation
Z Weng, L Tang - Numerical Heat Transfer, Part B: Fundamentals, 2016 - Taylor & Francis
This paper presents two numerical schemes for solving the Allen–Cahn equation
representing a model for antiphase domain coarsening in a binary mixture. Based on the …
representing a model for antiphase domain coarsening in a binary mixture. Based on the …