Research advances and challenges in one-dimensional modeling of secondary settling tanks–a critical review
Sedimentation is one of the most important processes that determine the performance of the
activated sludge process (ASP), and secondary settling tanks (SSTs) have been frequently …
activated sludge process (ASP), and secondary settling tanks (SSTs) have been frequently …
Robust numerical methods for nonlocal (and local) equations of porous medium type. Part II: Schemes and experiments
We develop a unified and easy to use framework to study robust fully discrete numerical
methods for nonlinear degenerate diffusion equations \partial_tu-Lφ(u)=f(x,t) in R^N*(0,T) …
methods for nonlinear degenerate diffusion equations \partial_tu-Lφ(u)=f(x,t) in R^N*(0,T) …
Robust numerical methods for nonlocal (and local) equations of porous medium type. Part I: Theory
We develop a unified and easy to use framework to study robust fully discrete numerical
methods for nonlinear degenerate diffusion equations \partial_tu-L^σ,μφ(u)=f\;in\;R^N*(0,T) …
methods for nonlinear degenerate diffusion equations \partial_tu-L^σ,μφ(u)=f\;in\;R^N*(0,T) …
Numerical schemes for a moving-boundary convection-diffusion-reaction model of sequencing batch reactors
Sequencing batch reactors (SBRs) are devices widely used in wastewater treatment,
chemical engineering, and other areas. They allow for the sedimentation and compression …
chemical engineering, and other areas. They allow for the sedimentation and compression …
A difference scheme for a degenerating convection-diffusion-reaction system modelling continuous sedimentation
Continuously operated settling tanks are used for the gravity separation of solid-liquid
suspensions in several industries. Mathematical models of these units form a topic for well …
suspensions in several industries. Mathematical models of these units form a topic for well …
Uniform stabilization of numerical schemes for the critical generalized Korteweg-de Vries equation with dam**
AF Pazoto, M Sepúlveda, OV Villagrán - Numerische Mathematik, 2010 - Springer
This work is devoted to the analysis of a fully-implicit numerical scheme for the critical
generalized Korteweg–de Vries equation (GKdV with p= 4) in a bounded domain with a …
generalized Korteweg–de Vries equation (GKdV with p= 4) in a bounded domain with a …
Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension
We present a fully adaptive multiresolution scheme for spatially one-dimensional quasilinear
strongly degenerate parabolic equations with zero-flux and periodic boundary conditions …
strongly degenerate parabolic equations with zero-flux and periodic boundary conditions …
Monotone difference schemes stabilized by discrete mollification for strongly degenerate parabolic equations
The discrete mollification method is a convolution‐based filtering procedure suitable for the
regularization of ill‐posed problems and for the stabilization of explicit schemes for the …
regularization of ill‐posed problems and for the stabilization of explicit schemes for the …
Numerical modeling of degenerate equations in porous media flow: degenerate multiphase flow equations in porous media
E Abreu, D Conceição - Journal of scientific computing, 2013 - Springer
In this paper is introduced a new numerical formulation for solving degenerate nonlinear
coupled convection dominated parabolic systems in problems of flow and transport in …
coupled convection dominated parabolic systems in problems of flow and transport in …
Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux
A fully adaptive finite volume multiresolution scheme for one-dimensional strongly
degenerate parabolic equations with discontinuous flux is presented. The numerical scheme …
degenerate parabolic equations with discontinuous flux is presented. The numerical scheme …