Software for Nonlinear Partial Differential Equations

Sincovec, Richard F.; Madsen, Niel K.

doi:10.1145/355644.355649

Cited by 218 publications

(93 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…16 The orthogonal collocation method 17 was applied to discretize the spatial coordinate to yield a coupled system of time-dependent ordinary differential equations, which were then integrated by Gear's stiff method. 18 The values of the parameters used in the model simulation of the biofilters are shown in Table 1.…”

Section: Materials Balancementioning

confidence: 99%

Application of Computational Methods for the Determination of Traffic Emissions

Tang

Hwang

1997

Journal of the Air & Waste Management Association

View full text Add to dashboard Cite

A mathematical model, taking into account the interactions between the adsorption, microkinetics, mass transfer, and gas flow patterns in biofilters, was developed to describe the transient behavior of the biofiltration process. Transient responses of biofilters as affected by the compost and by inert particles were estimated separately. In addition, time delay of the microbial growth was also considered. Simulated results were compared with previous experimental data obtained in three laboratoryscale biofilters with mixtures of chaff and compost, diatomaceous earth (DE) and compost, and granular activated carbon (GAC) and compost as the filter materials. Toluene was used as the gas pollutant in the experiments. Both the experimental and simulated results validated that the transient behavior of the biofilters was mainly influenced by the filter material properties and the operating conditions. The GAC-compost biofilter had a better transient performance than the chaff-compost and DE-compost biofilters. Moreover, the transient behaviors of the biofilters simulated by the proposed model showed good agreement with the experimental results.

show abstract

Section: Materials Balancementioning

confidence: 99%

Application of Computational Methods for the Determination of Traffic Emissions

Tang

Hwang

1997

Journal of the Air & Waste Management Association

View full text Add to dashboard Cite

show abstract

“…In practice, it is more convenient to specify (xi+ 1 -xi) implicitly. Instead of (7) we use (xi+l -xi) = F(xi ' Xi+l' viV ) (8) A specific example of (8) used in the course of this study is:…”

Section: Bell Aerospace Ki* -Twmentioning

confidence: 99%

“…Now differencing the partial differential system (3) in an obvious way, using (4), (5), (6), and (8), and adopting the notation,…”

Section: Bell Aerospacementioning

confidence: 99%

“…For variable meshes, there is the additional set of algebraic equations obtained by writing (8) at the mid points of each mesh interval, i.e., equations (5), (8), ..., (N-2) of system (13). These equations (e.g., (9)) are nonlinear.…”

Section: I-7mentioning

confidence: 99%

“…This is the reason for the (8) could not be satisfied. A way out of this difficulty would be to generalize (8) so that the function F would be defined somewhat differently on each mesh interval, but in such a manner that F i -F with increasing time. If F specifies the "optimal" distribution of the x i , then initially and for some time the x i distribution actually used would be suboptimal, but this cannot be avoided.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Numerical Model Development for Laser Cavity Flowfields.

Schimke¹

1980

View full text Add to dashboard Cite

Numerical Solution of Ordinary Differential Equations

Atkinson¹,

Han²,

Stewart³

2009

176

147

View full text Add to dashboard Cite

Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in preparing this book, they make no representations or warranties with respect to the accuracy or completeness of the contents of this book and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created ore extended by sales representatives or written sales materials. The advice and strategies contained herin may not be suitable for your situation. You should consult with a professional where appropriate. Neither the publisher nor author shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages.

show abstract

Software for Nonlinear Partial Differential Equations

Cited by 218 publications

References 6 publications

Application of Computational Methods for the Determination of Traffic Emissions

Application of Computational Methods for the Determination of Traffic Emissions

Numerical Model Development for Laser Cavity Flowfields.

Numerical Solution of Ordinary Differential Equations

Contact Info

Product

Resources

About