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 …
[BOOK][B] Additive operator-difference schemes: Splitting schemes
PN Vabishchevich - 2013 - books.google.com
Applied mathematical modeling is concerned with solving unsteady problems. Splitting
schemes are attributed to the transition from a complex problem to a chain of simpler …
schemes are attributed to the transition from a complex problem to a chain of simpler …
Implicit integration of nonlinear evolution equations on tensor manifolds
Explicit step-truncation tensor methods have recently proven successful in integrating initial
value problems for high-dimensional partial differential equations. However, the …
value problems for high-dimensional partial differential equations. However, the …
A multi-term solution of the space–time Boltzmann equation for electrons in gases and liquids
In this study we have developed a full multi-term space–time solution of Boltzmann's
equation for electron transport in gases and liquids. A Green's function formalism is used …
equation for electron transport in gases and liquids. A Green's function formalism is used …
Operator splitting for non-autonomous evolution equations
We establish general product formulas for the solutions of non-autonomous abstract Cauchy
problems. The main technical tools are evolution semigroups allowing the direct application …
problems. The main technical tools are evolution semigroups allowing the direct application …
Numerical modeling of solar ponds
MC Giestas, JP Milhazes, HL Pina - Energy Procedia, 2014 - Elsevier
A SGSP is a basin of water where solar energy is trapped due to an artificially imposed
salinity gradient. In a SGSP three zones can be identified: the surface and bottom zones that …
salinity gradient. In a SGSP three zones can be identified: the surface and bottom zones that …
Numerical simulation of Bloch equations for dynamic magnetic resonance imaging
Abstract Magnetic Resonance Imaging (MRI) is a widely applied non-invasive imaging
modality based on non-ionizing radiation which gives excellent images and soft tissue …
modality based on non-ionizing radiation which gives excellent images and soft tissue …
[HTML][HTML] New efficient numerical methods for some systems of linear ordinary differential equations
L Boda, I Faragó - Mathematics and Computers in Simulation, 2025 - Elsevier
In mathematics there are several problems arise that can be described by differential
equations with particular, highly complex structure. Most of the time, we cannot produce the …
equations with particular, highly complex structure. Most of the time, we cannot produce the …
Richardson Extrapolation combined with the sequential splitting procedure and the θ-method
Initial value problems for systems of ordinary differential equations (ODEs) are solved
numerically by using a combination of (a) the θ-method,(b) the sequential splitting procedure …
numerically by using a combination of (a) the θ-method,(b) the sequential splitting procedure …
Improved accuracy for time-splitting methods for the numerical solution of parabolic equations
In this work, we study time-splitting strategies for the numerical approximation of
evolutionary reaction–diffusion problems. In particular, we formulate a family of domain …
evolutionary reaction–diffusion problems. In particular, we formulate a family of domain …