2004 — 2005 
Sritharan, Sivaguru (coPI) [⬀] Shader, Bryan (coPI) [⬀] Chen, Hongsen Denny, Diane Stanescu, Dan 
N/AActivity Code Description: No activity code was retrieved: click on the grant title for more information 
Scientific Computing Research Environments For the Mathematical Sciences
The training of both undergraduate and graduate mathematics students can hardly be considered complete nowadays without their being exposed to the areas of applied mathematics and numerical analysis, and becoming familiar with computer simulations of the real world based on advanced mathematical models. In order to enhance training in this direction, the Department of Mathematics at the University of Wyoming will purchase a computer cluster that will be used for student training and research in several areas, including the simulation of fractal interface growth by interacting particles approximations, modeling of aircraft engine tonal noise under uncertain input, development of threedimensional flow models for nearcritical fluids, and analysis of parallel algorithms for massive graphs and convectiondominated reactiondiffusion problems. These projects are expected to advance the state of the art in a number of fields of high interest in the mathematical/numerical analysis community, such as: spectral element methods, largescale solution of complexvalued linear systems, domain decomposition methods, analysis of stochastic processes and uncertainty, numerical simulation of such processes driven by Levy noise and spectral analysis of discrete Laplacian operators. They will entail the development of new computational algorithms, both sequential and parallel; new analytical/numerical models for the study of complex fluid physics including nearcritical fluid flow and reactiondiffusion flow in porous media; new applications of stochastic analysis and uncertainty quantification; and innovative techniques for the study of large, complex network problems such as those arising on the Internet. The impact of this research will span several scientific disciplines, consistent with the University of Wyoming identification of interdisciplinary computational science as a critical area in its academic plan for 20042009. Existing research links between the Department of Mathematics and the Departments of Mechanical Engineering, Chemical and Petroleum Engineering and Computer Science will be enhanced by the presence of the cluster. The impacts also extend to problems of large social and technological interest. Aircraft noise modeling tools are of utmost importance in the design of current large transport aircraft and avoid the need for multimilliondollar wind tunnel and flight experiments. Simulation of fractal interface growth is a first step toward the control of cuttingedge technological processes such as chemical vapor deposition. A better understanding of critical fluid flow is expected to have an impact in the areas of enhanced oil recovery and advanced materials manufacturing. Massive graph algorithms are needed to speed up processing of digital data in fields such as GIS, the World Wide Web and DNA banks. The use of biobarriers to restrict flow of pollutants in porous media addresses a major nationwide environmental concern. The acquisition of the cluster is coupled with a plan to develop a curriculum in computational science and high performance computing. The projects provide ideal topics for class learning and thesis research. They are expected to greatly enhance the training of mathematics students in the use of modern distributed parallel computers, as well as expose them to current areas of research in applied mathematics.

1 
2008 — 2009 
Pereira, Felipe (coPI) [⬀] Furtado, Frederico (coPI) [⬀] Stanescu, Dan Ginting, Victor 
N/AActivity Code Description: No activity code was retrieved: click on the grant title for more information 
Numerical Simulation of Multiphase Flows in Porous Media
The Department of Mathematics at the University of Wyoming will purchase computer equipment which will be dedicated to the support of research in the mathematical sciences. The equipment will be used for several research projects, including in particular: the numerical simulation of threephase porousmedia flows, the investigation of the the scaleup problem for such flows, the development of particle tracking schemes for nonlinear conservation laws and of parallel adaptive multiscale finite element methods that can be applied to them. The projects aim at advancing the stateoftheart in modeling and simulation of fluid flow in porous media such as oil reservoirs and aquifers. They will explore new computational algorithms, both for sequential and parallel computers, the incorporation of complex fluid physics, and eventually will apply these methods to the study of enhanced oil recovery techniques which are already used in the state of Wyoming as well as elsewhere in the United States. Thus, the projects will have a large social impact on the state of Wyoming, due to its concentration of natural resources in gas, coal and oil reservoirs, and ultimately on the U.S. maintaining its leadership role in applied computational science in a field of high importance to today's world economy. On a different scale, the projects span several disciplines and are tuned to the University of Wyoming mission of interdisciplinary computational science in its academic plan. Existing research links between the Departments of Mathematics, Statistics, Chemical and Petroleum Engineering, Chemistry, Computer Science, as well as the Institute for Enhanced Oil Recovery and the School for Energy Resources will be stimulated, and will result in attracting additional students in the existing programs. The project is coupled tightly with an ongoing education plan aimed at developing both an undergraduate and a graduate curriculum in Computational Science, to be offered through some of the above departments above as a minor. This minor has already been approved at the College of Arts level for the Mathematics Department where the emphasis will be on training students in highperformance computing and its use in the study of complex physics, with first undergraduate students expected this Fall. Other departments and the graduate program are expected to follow gradually over the next couple of years.

1 
2008 — 2009 
Stanescu, Dan 
N/AActivity Code Description: No activity code was retrieved: click on the grant title for more information 
Summer School On Parallel Numerical Methods For Partial Differential Equations
Stanescu DMS0810890
This project helps support U.S. participants in the 2008 Rocky Mountain Mathematics Consortium Summer School. The school educates graduate students and junior faculty on the recent developments in computational methods for partial differential equations. This topic is of major importance in applied mathematics and is key in developing a better understanding of, and prediction capability for, complex physical systems. Topics to be covered at the intensive twoweek summer school include: numerical methods for timedependent problems, nodal Discontinuous Galerkin Methods (theory and implementation), highaccuracy and spectral element methods on structured and unstructured meshes, introduction to parallel computing and highperformance computing on presentday architectures, and various applications such as fluid flow and weather prediction. The lecturers include Jan Hesthaven (Division of Applied Mathematics at Brown University, and Director of the Center for Computation and Visualization), Amik StCyr (National Center for Atmospheric Research), Henry Tufo (Colorado UniversityBoulder and National Center for Atmospheric Research), and Tim Warburton (Rice University).
The school has an impact on the U.S. maintaining its leadership role in computational science, by equipping U.S. graduate students with an understanding of the latest computational methods, preparing students to be able to perform parallel computations on developing architectures, and enhancing their understanding of the important role that mathematical modeling and simulations plays in science. The summer school is held just prior to the thematic yearlong program on Computational Geosciences at NCAR, and thus prepares graduate students and junior faculty to participate more beneficially in this program. This project also has a large impact on math and science education in Wyoming, as some of the speakers and participants are guest lecturers at the local workshop "Thinking and Doing Math and Science with Engineering," a program that presents Wyoming K12 math and science teachers with feasible ways to make mathematics and science more pertinent and exciting to their students.

1 
2015 — 2017 
Stanescu, Dan Gamboa, Ruben (coPI) [⬀] Ipina, Lynne 
N/AActivity Code Description: No activity code was retrieved: click on the grant title for more information 
Cs 10k: Beauty and Joy, Adapted and Adopted: Building a Computational Teaching Cadre From Within Wyoming Schools
The University of Wyoming, partnering with the Wyoming Council of Teachers of Mathematics, and districts and high schools throughout the state, proposes a project to bring AP Computer Science Principles (AP CSP) to students across Wyoming. The project will adapt and adopt the Beauty and Joy of Computing (BJC)  an AP CSP course developed at UC Berkeley  to prepare students for the new AP CSP exam. The PIs have significant experience working with middle and high school teachers throughout Wyoming, especially with mathematics teachers, who are the main providers of high school computing education in the state. The project leverages this experience by offering significant professional development (PD) during a summer session and school year followup. Over the summer, teachers will be introduced to the Snap! programming language and its development environment, and the details of preparing students for the AP CSP examination. Further PD opportunities will take place throughout the school year in the form of oneonone peer mentoring and online teacher circles, which will be particularly useful in the sparsely populated state of Wyoming. The project will work closely with high school teachers to teach the course as a pilot at high schools in Albany County and Laramie County. After the pilot, it will extend the collaboration to other school districts in Wyoming, ultimately reaching the entire state.
The Beauty and Joy, Adapted and Adopted project will modify the existing BJC curriculum to include alternative units on topics of particular interest in Wyoming such as simulation of global climate models. The project staff will conduct professional development for inservice teachers to improve high school computer science instruction in Wyoming. The external evaluation will examine the implementation of rigorous courses in computer science in high schools throughout the state of Wyoming through the adoption of AP CSP classes, and the extent to which broadening participation in computer science is advanced using AP CSP as a vehicle. The key question addressed by the external evaluation is the following: "To what extent was the project implemented as designed and did it achieve its stated goals and objectives?"

1 