Pedro Aceves Sanchez
- Assistant Professor, Mathematics
- Member of the Graduate Faculty
- Assistant Professor, Applied Mathematics - GIDP
Contact
- (520) 626-0720
- Mathematics, Rm. 115
- Tucson, AZ 85721
- pedroas@arizona.edu
Biography
I am currently an Assistant Professor in the Mathematics Department at the University of Arizona. Before becoming a Wildcat, I was a Visiting Adjunct Professor in the Department of Mathematics at UCLA. I also held a postdoctoral position in the Department of Mathematics at North Carolina State University and worked as a Research Associate in the group of Prof. Pierre Degond in the Department of Mathematics at Imperial College London. I received my Ph.D. under the supervision of Prof. Christian Schmeiser at the Faculty of Mathematics of the University of Vienna.Degrees
- Ph.D. Mathematics
- Faculty of Mathematics, University of Vienna, Vienna, Austria
- Fractional Diffusion Limits of Kinetic Transport Equations
- M.S. Mathematics
- National Autonomous University of Mexico, Mexico City, Mexico
- The Water Wave Problem for a Rough Bottom under the Boussinesq Regime
- B.S. Mathematics
- Universidad Michoacana de San Nicolas de Hidalgo, Morelia, Michoacan, Mexico
- A study of the Newton-Raphson method from the complex dynamical point of view and the Shub-Smale algorithm
Interests
Research
Networks and patterns in emergent systems, multiscale analysis, shallow water asymptotic, nonlinear nonlocal partial differential equations, fluid dynamics, computational mathematics, and mathematical biology.
Teaching
As an applied mathematician, I find fulfillment in instructing a variety of subjects within this realm. For instance, at the undergraduate level, I have experience teaching courses such as Calculus, Linear Algebra, Dynamical Systems, and Numerical Analysis. Moving forward, I aspire to extend my teaching portfolio at the graduate level to include subjects like Mathematical Analysis and Partial Differential Equations. In the past, I have taught a graduate-level course on Compressible Fluid Dynamics.
Courses
2025-26 Courses
-
Theoretical Found AppMth I
APPL 584A (Fall 2025) -
Theoretical Found AppMth I
MATH 584A (Fall 2025)
2024-25 Courses
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Independent Study
MATH 599 (Spring 2025) -
Ord Diff Eq+Stabl Thry
MATH 454 (Spring 2025) -
Math Prin Numeric Anls
MATH 475A (Fall 2024)
2023-24 Courses
-
Independent Study
MATH 499 (Spring 2024) -
Ord Diff Eq+Stabl Thry
MATH 454 (Spring 2024) -
Anls Ord Diff Equations
MATH 355 (Fall 2023)
Scholarly Contributions
Journals/Publications
- Aceves-Sanchez, P., Bailo, R., Degond, P., & Mercier, Z. (2023). Pedestrian models with congestion effects.More infoWe study the validity of the dissipative Aw-Rascle system as a macroscopicmodel for pedestrian dynamics. The model uses a congestion term (a singulardiffusion term) to enforce capacity constraints in the crowd density whileinducing a steering behaviour. Furthermore, we introduce a semi-implicit,structure-preserving, and asymptotic-preserving numerical scheme which canhandle the numerical solution of the model efficiently. We perform the firstnumerical simulations of the dissipative Aw-Rascle system in one and twodimensions. We demonstrate the efficiency of the scheme in solving an array ofnumerical experiments, and we validate the model, ultimately showing that itcorrectly captures the fundamental diagram of pedestrian flow.[Journal_ref: ]
