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Svitlana RogovchenkoView profile

Professor

• Differential Equations
• Impulsive Differential Equations
• Asymptotic Methods in Nonlinear Mechanics
• +3 more

Svitlana Rogovchenko is a Professor at the Department of Engineering Sciences, University of Agder, Norway. Her academic work bridges pure mathematical research in differential equations with innovative pedagogical approaches in engineering and interdisciplinary education. Educational Background: Doctor of Philosophy in Differential Equations (1988), Institute of Mathematics, National Academy of Sciences, Kyiv, Ukraine Master of Science in Mathematics (1983), Kyiv State University, Ukraine Research Interests: Qualitative theory of ordinary and impulsive differential equations, asymptotic methods in nonlinear mechanics, mathematical modeling, and the intersection of mathematics education with engineering and biology curricula. She focuses on conceptual understanding, pedagogical challenges, and commognitive conflicts in learning differential equations. Recent Publications Trends: Her work spans mathematical modeling of vehicle crashworthiness, interdisciplinary education for biologists and engineers, and pedagogical innovations in ordinary differential equations. Articles emphasize assessment design, group work tensions, and bridging mathematical theory with applied contexts.

Anthony BlochView profile

Professor

• Geometric Mechanics
• Nonlinear Dynamics
• Hamiltonian Mechanics
• +10 more

Anthony Bloch is the Alexander Ziwet Collegiate Professor of Mathematics and Professor of Mathematics at the University of Michigan, serving as Chair of the Department of Mathematics. He is affiliated with the Center for the Study of Complex Systems (CSCS) in Weiser Hall. His research focuses on: Geometric Mechanics : Hamiltonian/Lagrangian mechanics, symplectic geometry, and integrable systems including Toda lattices and rigid body dynamics Nonlinear Dynamics : Nonholonomic systems with nonintegrable constraints, stability analysis, and continuous-discrete flow relationships Control Theory : Nonlinear and optimal control applications extending to quantum dynamics and astrophysical systems Recent publications demonstrate geometric methods applied to nonholonomic control, virtual constraints, and stabilization, with growing interdisciplinary work in network dynamics, quantum control, and cosmological models like cosmic reheating. Through the Center for the Study of Complex Systems, Professor Bloch collaborates across disciplines to investigate complex phenomena in natural and engineered systems, leveraging geometric frameworks to address fundamental questions in mechanics and dynamics.

Michael KunzingerView profile

Professor

• Generalized Functions
• Differential Geometry
• Partial Differential Equations
• +3 more

Michael Kunzinger is a Professor at the Department of Mathematics, Faculty of Mathematics, University of Vienna. His research spans generalized functions, differential geometry, and mathematical physics, with a focus on Colombeau algebras, Lorentzian length spaces, and non-smooth geometric structures. His recent work includes stochastic PDEs on manifolds, synthetic curvature bounds, and causality in Lorentzian geometry. Articles highlight applications to conservation laws, sectional curvature analysis, and rigidity theorems. Notably, he explores connections between generalized functions and smooth manifold theory, advancing geometric regularization techniques. 2024: 9 publications on singular limits, Ricci curvature, and synthetic geometry. 2022: Studies on null distance and singularity theorems in low-regularity spacetimes.

Moody T. ChuView profile

Professor

• Numerical Ordinary Differential Equations
• Numerical Linear Algebra
• Dynamical Systems
• +5 more

Moody T. Chu is a Professor in the Department of Mathematics at North Carolina State University since 1982, holding a PhD from Michigan State University. His research focuses on numerical linear algebra, dynamical systems, inverse problems, and quantum computing. He has received prestigious teaching awards including the Alumni Distinguished Undergraduate Professorship (2006) and multiple Board of Governors Awards (2010, 2013, 2014). His work bridges computational mathematics with applications in physics, engineering, and data science. Research interests include numerical methods for differential equations, tensor approximation, and quantum simulation. His articles explore topics like Cartan decomposition for quantum Hamiltonians, Lax dynamics, and low-rank tensor approximations. Over 200 publications span numerical analysis, inverse eigenvalue problems, and optimization techniques. Chu’s contributions also address algorithm design for matrix completion and structured low-rank approximations. He has advised numerous graduate students (details not listed here) and led projects on adaptive optics and stochastic processes. His work on nonnegative matrix factorization and Markov chain dynamics has influenced data mining and machine learning applications. Chu’s lab focuses on advancing computational frameworks for complex systems, emphasizing interdisciplinary collaboration.

Tien Khai NguyenView profile

Associate Professor

• Nonlinear Partial Differential Equations
• Optimal Control
• Differential Games
• +4 more

Tien Khai Nguyen is an Associate Professor in the Department of Mathematics at North Carolina State University (NC State), holding the title of NCSU Faculty Scholar since 2023. He obtained his PhD in Mathematics from the University of Padova, Italy, followed by postdoctoral research at SISSA-ISAS (Trieste) and a position as S. Chowla Assistant Professor at Pennsylvania State University. His research focuses on Nonlinear Partial Differential Equations , Optimal Control , Differential Games , and Mean Field Games , with contributions to nonsmooth analysis and geometric measure theory. Current funding includes NSF grant DMS 2154201 supporting work on control and optimization. Key awards include the John Franke Faculty Award for Teaching (2021) and Editor’s Choice Article in Mathematical Control and Related Fields (2024). He serves as editor for the Journal of Dynamical and Control Systems and organizes the Differential Equations/Nonlinear Analysis Seminar at NC State. His work bridges theoretical analysis (e.g., transversality theorems, viscosity solutions) with applications in optimal control and multi-agent systems. Active research themes include generic properties of solutions to Hamilton-Jacobi equations and singular phenomena in hyperbolic conservation laws.

• Cyber-Physical Systems
• Interval Analysis
• Robotics
• +5 more

Alexandre Chapoutot is a Lecturer and researcher at ENSTA Paris within the Computer Science and Systems Engineering Unit (U2IS). He leads the Semantics of Hybrid Systems (SSH) research group and serves as Head of the 2nd year specialization of the engineering cycle in Computer Science. His academic work bridges theoretical computer science with practical engineering applications, focusing on the rigorous analysis and verification of complex systems. Chapoutot's research interests span the verification of cyber-physical systems, with a strong emphasis on interval analysis and mobile robotics. He has made significant contributions to the static analysis of programs through abstract interpretation, particularly for improving the accuracy of floating-point arithmetic calculations. His work bridges theoretical computer science with practical engineering applications, developing methods that ensure the reliability and safety of autonomous systems. The research has direct applications in robotics, control systems, and safety-critical embedded software where numerical precision and system correctness are paramount. His recent publications reveal a strong trend toward the integration of formal methods with practical robotics applications. The work spans theoretical foundations in hybrid systems verification, practical implementations for robotics navigation and control, and innovative approaches to combining different verification techniques. A significant portion of his recent work focuses on Signal Temporal Logic applications, trajectory optimization, and the development of verified algorithms for autonomous systems. The publications demonstrate a consistent progression from theoretical foundations to practical implementations with real-world robotics applications. Chapoutot actively supervises multiple PhD students working on cutting-edge research topics at the intersection of formal methods and robotics. His research group collaborates extensively with other institutions and researchers, as evidenced by the numerous co-authored publications across various domains. He contributes to the development of the DynIbex software library, which provides validated solutions for ordinary differential equations using Runge-Kutta methods. His laboratory work centers around the Semantics of Hybrid Systems (SSH) group, which develops theoretical frameworks and practical tools for the analysis and verification of cyber-physical systems. The group's research spans formal methods, numerical analysis, and robotics, with a strong emphasis on developing mathematically rigorous approaches that can be applied to real-world engineering problems.

Wolfgang RingView profile

Professor

• Inverse Problems
• Partial Differential Equations
• Shape Optimization
• +3 more

Wolfgang Ring is a professor at the University of Graz , affiliated with the Institute of Mathematics . His work bridges applied mathematics and engineering disciplines. Research Interests Specializing in inverse problems , his research spans: Partial differential equations and variational inequalities Shape and structural optimization Nonsmooth optimization methods Ill-posed Volterra equations Image processing and analysis His mathematical techniques address challenges in electromagnet design , mechanical systems , and medical imaging applications. Academic Contributions Key publication trends include: Development of regularization methods for ill-posed problems Advancements in predictor-corrector algorithms for Volterra equations Innovations in shape optimization using finite element techniques Structural analysis of total variation regularization solutions Education Dr. techn. in Mathematics from Technical University Graz (1993) Teaching Has taught graduate-level courses on: Ordinary differential equations Complex analysis Heat and mass transfer

Laurent O. JayView profile

Professor

• Numerical Analysis
• Scientific Computing
• Ordinary Differential Equations
• +16 more

Laurent O. Jay is a Professor in the Department of Mathematics at The University of Iowa, where he also serves as Director of the Interdisciplinary Graduate PhD Program in Applied Mathematical and Computational Sciences (AMCS). He is a faculty member of the College of Liberal Arts and Sciences, with research affiliations in numerical analysis and dynamical systems and differential equations. Department: Department of Mathematics School: College of Liberal Arts and Sciences University: The University of Iowa Position: Professor and Director of AMCS PhD Program His research focuses on numerical methods for differential equations, particularly Runge-Kutta and symplectic methods for ODEs and DAEs, with applications in mechanics and computational science. He has been actively publishing in top journals such as SIAM Journal on Numerical Analysis, BIT Numerical Mathematics, and Numerical Algorithms, with recent work on predictors for implicit methods, convergence analysis, and specialized integrators for constrained systems. His publications reveal a strong emphasis on structure-preserving algorithms, stiffness, and efficient implementations. Laurent O. Jay has received the Leslie Fox Prize in Numerical Analysis (Second Prize, 1995), a prestigious early-career award in the field. His research has been supported by the National Science Foundation under multiple grants. He advises several PhD students in the AMCS program and has mentored numerous former students who have pursued academic and industry careers. His teaching includes graduate courses such as Ordinary Differential Equations I and Introduction to Numerical Methods. He is also a proud member of the Runge-Kutta Club, reflecting his deep expertise in numerical integration methods.

• Interval Analysis
• Set-theoretic Approaches
• Parameter Identification
• +8 more

Julien Alexandre Sandretto is a Researcher at ENSTA Paris within the Computer Science and Systems Engineering Unit (U2IS) . As an associate member of the Cosynus team at LIX (École Polytechnique), his work focuses on set-theoretic approaches, particularly interval analysis , for parameter identification, optimization, and solving differential equations. Applications span mobile robotics , manipulation robotics , and trajectory planning . Research Interests : Interval analysis, hybrid systems verification, validated simulation, optimal control with bounded uncertainties, constraint programming for differential equations Collaborations : Cosynus team (LIX), DynIbex development, collaborative projects with researchers in control theory and cyber-physical systems Advising : Co-supervised PhD theses in collaboration with teams at ENSTA Paris and École Polytechnique, including work on validated control synthesis and robust motion planning. Technical Contributions : Key developer of DynIbex library for validated solutions of ordinary differential equations using Runge-Kutta methods.

Pascal HeiterView profile

Lecturer

• Numerical Optimization
• Numerical Methods for Manifold-Based Model Reduction
• Nonlinear Optimization Problems with Ordinary Differential Equation Constraints
• +6 more

Dr. Pascal Heiter is a former Lecturer in Mathematics and Statistics at Neu-Ulm University of Applied Sciences (2012-2015) and holds a PhD in Numerical Mathematics from Ulm University (2017). His research focuses on numerical methods for manifold-based model reduction in nonlinear optimization problems with ordinary differential equation constraints, including chemical kinetics in combustion mechanisms, thermodynamics, and differential geometry applications. Developed AMMSoCK, a software for manifold-based model reduction in chemical kinetics Investigated Riemannian curvature tensor calculations and sectional curvatures He has supervised multiple theses at Ulm University and taught courses ranging from numerical linear algebra to optimal control theory. Scientific contributions include participation in international workshops on model reduction in reacting flows and numerical optimal control.

• Differential-Algebraic Equations (DAEs)
• Interval Methods
• Structural Analysis
• +7 more

Nedialko Nedialkov is a Professor in the Department of Computing and Software at McMaster University, Faculty of Engineering. His research centers on differential-algebraic equations (DAEs) , interval methods , and computational science , with a focus on rigorous numerical solutions and structural analysis. Contact: nedialk@mcmaster.ca Teaching: Courses include Scientific Computing, Advanced Topics in Computing and Software, and Principles of Programming. Research Highlights: Nedialkov has developed symbolic-numeric methods for DAEs, improved verified ODE integration, and created tools like DAETS for structural analysis. His work spans applications in hybrid systems , control theory , and biomedical computing . Publications Trends: Over the past 15 years, his scholarship emphasizes DAEs, validated numerical methods, and computational modeling. Key subfields include Port-Hamiltonian systems , block triangularization , interval constraints , and automatic differentiation . Labs & Teams: Collaborates with McMaster Experts and contributes to open-source projects for validated numerical computing.

• Calculus of Variations
• Partial Differential Equations
• Shape Optimization
• +11 more

Paolo Tilli is a Full Professor in the Department of Mathematical Sciences "G. L. Lagrange" (DISMA) at Politecnico di Torino, Italy. He is actively involved in research, teaching, and doctoral supervision, with a strong presence in mathematical analysis and its applications. His research focuses on calculus of variations , partial differential equations , shape optimization , and phase space analysis with applications to quantum mechanics. He is a member of the Analysis and Quantum Theory research group at DISMA, and his work spans theoretical analysis of singular models, spectral theory, and nonlinear dynamics on networks and metric graphs. The recent publications of Paolo Tilli reveal a consistent and high-impact research trajectory in nonlinear PDEs , time-frequency analysis , and quantum graphs . His work frequently appears in top journals such as Inventiones Mathematicae and Advances in Mathematics , with a focus on Faber-Krahn inequalities, localization operators, and ground states in nonlinear Schrödinger equations. These contributions reflect deep analytical techniques and interdisciplinary relevance, particularly in mathematical physics and signal processing. He has supervised PhD students including Federico Riccardi and has been a long-standing member of doctoral college committees for the PhD programs in Mathematical Sciences at Politecnico di Torino and the University of Turin. His teaching includes core courses such as Metodi Variazionali e Applicazioni and Analisi Matematica II across various engineering and mathematics programs. His research groups include: Analysis and Quantum Theory Group (DISMA)