Petr Knobloch

Petr Knobloch is an Associate Professor at Charles University's Faculty of Mathematics and Physics, Department of Numerical Mathematics. He has held this position since 2007, following his appointment as Assistant Professor in 1997. His research focuses on numerical methods for partial differential equations, particularly finite element methods for convection-diffusion-reaction problems.

Knobloch earned his Dr. rer. nat. (summa cum laude) from Otto-von-Guericke Universität Magdeburg in 1996 with a dissertation on "Solvability and Finite Element Discretization of a Mathematical Model Related to Czochralski Crystal Growth." His academic career includes postdoctoral work at Otto-von-Guericke Universität Magdeburg (1996-1997) before joining Charles University.

His research interests include:

• Numerical Analysis of Partial Differential Equations
• Finite Element Methods
• Stabilized Numerical Schemes for Convection-Diffusion Problems
• Discrete Maximum Principle
• Algebraic Flux Correction

Knobloch's recent publications (2021-2025) demonstrate his continued focus on developing and analyzing numerical methods for convection-diffusion-reaction equations. His work spans theoretical analysis of numerical schemes, development of stabilized methods, and applications to problems in computational fluid dynamics and mathematical biology. A significant portion of his recent work involves algebraic stabilization techniques, mesh adaptation strategies, and the preservation of physical properties like the discrete maximum principle in numerical solutions.

His scientific achievements have been recognized with several awards:

• Babuška prize (1996)
• Award of the Faculty of Mathematics of the University Magdeburg (1997)
• Bernardo Bolzano prize (2000)

As an educator, Knobloch has supervised 3 PhD theses, 12 Master's theses, and 3 Bachelor's theses. He teaches courses on partial differential equations, functional analysis, finite element method, and finite difference method. His research has involved collaborations with mathematicians across Europe, including multiple research stays in Germany and France.