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pro vyhledávání: '"John Paul Roop"'
Autor:
John Paul Roop
Publikováno v:
Applied Numerical Mathematics. 152:267-274
Partial differential equations which include nonlocal operators have recently become a major focus of mathematical and computational research. The efficient computational implementation of a nonlocal operator remains an important question. In this ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ef1106044b84906f05376e9bc292dc5
https://doi.org/10.1016/j.apnum.2019.11.022
https://doi.org/10.1016/j.apnum.2019.11.022
Publikováno v:
Mathematics of Computation. 87:2273-2294
In this article we investigate the solution of the steady-state fractional diffusion equation on a bounded domain in $\real^{1}$. From an analysis of the underlying model problem, we postulate that the fractional diffusion operator in the modeling eq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a5fa6bc1ce5ba78b174bc72e70c9abbd
https://doi.org/10.1090/mcom/3295
https://doi.org/10.1090/mcom/3295
Publikováno v:
International Journal for Innovation Education and Research. 3:117-130
A 21st century workforce must be trained to solve not only major national and global challenges but to fit into the current complex work environment. The challenges cannot be solved by a single discipline and require interdisciplinary solutions only
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::731804ed111e72ff0d99e59b3658fa7b
https://doi.org/10.31686/ijier.vol3.iss11.475
https://doi.org/10.31686/ijier.vol3.iss11.475
Publikováno v:
International Journal of Education. 11:29
In this paper we present results from a study of the effects of active learning on students’ perception of mathematics through their engagement, satisfaction, and perceived performance in the class. We use an active learning model, modified for und
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cc1819fdeb60b04a4531438e699a80a0
https://doi.org/10.5296/ije.v11i1.13983
https://doi.org/10.5296/ije.v11i1.13983
Autor:
John Paul Roop
Publikováno v:
Advances in Numerical Analysis. 2013:1-8
We introduce the variational multiscale (VMS) stabilization for the reduced-order modeling of incompressible flows. It is well known that the proper orthogonal decomposition (POD) technique in reduced-order modeling experiences numerical instability
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15106127cba4a5fe92bb07eedc10c9ab
https://doi.org/10.1155/2013/974284
https://doi.org/10.1155/2013/974284
Publikováno v:
Numerical Methods for Partial Differential Equations. 28:1056-1078
The r-Laplacian has played an important role in the development of computationally efficient models for applications, such as numerical simulation of turbulent flows. In this article, we examine two-level finite element approximation schemes applied
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dbf1e94d999ae71e832c3c2f8dcda8a1
https://doi.org/10.1002/num.20673
https://doi.org/10.1002/num.20673
Publikováno v:
Journal of Education and Learning. 7:11
In this paper, we present the results of a study indicating that groups predominantly underrepresented in mathematics prefer to have a choice of instructional method. We use the concept of differentiated instruction to explain how different groups of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6280cb49179997366d719e5ca682cea5
https://doi.org/10.5539/jel.v7n5p11
https://doi.org/10.5539/jel.v7n5p11
A Family of Sixth-Order Compact Finite-Difference Schemes for the Three-Dimensional Poisson Equation
Publikováno v:
Advances in Numerical Analysis. 2010:1-17
We derive a family of sixth-order compact finite-difference schemes for the three-dimensional Poisson's equation. As opposed to other research regarding higher-order compact difference schemes, our approach includes consideration of the discretizatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::67fcfa31a62af6f2906b30e34a8ee71d
https://doi.org/10.1155/2010/352174
https://doi.org/10.1155/2010/352174
Publikováno v:
SIAM Journal on Numerical Analysis. 47:622-645
In this paper, we present a rigorous numerical analysis for a bounded artificial viscosity model ($\tau=\mu\delta^\sigma a(\delta\|\nabla^s\bm{u}\|_F)\nabla^s\bm{u})$ for the numerical simulation of turbulent flows. In practice, the commonly used Sma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ef9a3ce080abb138b6ed7009eb6e302
https://doi.org/10.1137/060656164
https://doi.org/10.1137/060656164
Publikováno v:
Journal of Computational and Applied Mathematics. 223:646-658
For the numerical approximation of fluid flow phenomena, it is often highly desirable to decouple the equations defining conservation of momentum and conservation of mass by using a penalty function method. The current penalty function methods for po
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c97c91fd8bb6f6f183a7bff740abe61
https://doi.org/10.1016/j.cam.2008.02.002
https://doi.org/10.1016/j.cam.2008.02.002