Guergana Petrova

Guergana Petrova is a Professor in the Department of Mathematics at Texas A&M University, affiliated with the College of Arts & Sciences. She holds a Ph.D. from the University of South Carolina (1999) and earlier degrees from Sofia University, Bulgaria. Her research focuses on Partial Differential Equations, Approximation Theory, Nonlinear Approximation, and Numerical Methods, with notable contributions to hyperbolic PDEs, conservation laws, and numerical quadrature.

Her academic career includes roles as Assistant Professor at the University of Michigan (1999–2001) and Texas A&M University (2001–2006), followed by promotion to Associate Professor (2006–2011) and Full Professor (2011–present). Her work bridges theoretical analysis and computational methods, emphasizing nonlinear approximation, neural network approximation, and reduced modeling techniques.

Key research trends in her publications include advancing numerical schemes for PDEs, analyzing approximation theory in high-dimensional spaces, and exploring machine learning applications. She has collaborated extensively with researchers like DeVore, Kurganov, and Wojtaszczyk on topics ranging from greedy algorithms to fluid dynamics.

Petrova’s contributions include foundational work on central-upwind schemes for hyperbolic systems, optimal recovery methods, and entropy number analysis. Her teaching includes advanced courses in numerical analysis and applied mathematics.