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• Inverse Problems
• Numerical Analysis
• Partial Differential Equations
• +4 more

Burhan PEKTAŞ is a Professor of Computer Engineering at the Faculty of Engineering and Natural Sciences, Üsküdar Üniversitesi. He holds a Ph.D. from Kocaeli University (2006) and has held academic positions including Vice Dean of the Faculty of Engineering and Natural Sciences since 2021. His research focuses on inverse problems, numerical analysis, and mathematical modeling with applications in engineering and environmental systems. Education: BSc in Mathematics, Kocaeli University (1998) MSc in Mathematics, Kocaeli University (2002) PhD in Mathematics, Kocaeli University (2006) Research Interests: His work emphasizes computational methods for solving inverse problems in partial differential equations, numerical simulations of heat transfer and diffusion processes, and cybersecurity applications in telehealth systems. He has organized sessions at international conferences such as Inverse Problems: Modeling and Simulation (since 2002). Academic Contributions: With 17 publications (h-index 6), his articles span journals like Journal of Inverse and Ill-posed Problems and Journal of Mathematical Chemistry. His 2020 study on wave equation boundary measurements exemplifies his expertise in inverse problem techniques. Administrative Roles: Head of Computer Engineering Department (2023–present) Vice Dean, Faculty of Engineering and Natural Sciences (2021–present) Teaching: Currently instructs courses in Calculus, Numerical Analysis, and Python Programming for undergraduates.

• Probability Theory
• Stochastic Partial Differential Equations
• Stochastic Differential Equations
• +4 more

Foondun Mohammud is a Lecturer in the Department of Mathematics and Statistics at the University of Strathclyde, Faculty of Science. He holds a PhD and has been actively engaged in research and teaching in probability and stochastic analysis. His research centers on Probability Theory and Stochastic Partial Differential Equations (SPDEs) , particularly focusing on qualitative properties such as blow-up behavior, regularity, and long-term dynamics. His work draws from PDE theory, stochastic processes, and harmonic analysis, and has applications in finance, physics, and engineering. The recent publications reflect a strong trend in theoretical SPDEs, especially concerning the stochastic heat and wave equations, with emphasis on non-existence, small ball probabilities, and blow-up phenomena. These works are published in top-tier journals like Probability Theory and Related Fields and Journal of Differential Equations . Scientific Awards: FHEA (Fellow of the Higher Education Academy) Advising and Grants: Dr. Foondun has supervised multiple research students and served as Principal Investigator on several research projects funded by the Leverhulme Trust and the London Mathematical Society. His grants support international collaborations, particularly with researchers in Spain and Turkey, focusing on SPDEs and stochastic heat equations. Labs and Teams: He is part of the Probability and Stochastic Analysis research group within the Department of Mathematics and Statistics. He collaborates with researchers at Pompeu Fabra University, Bogazici University, and Academia Sinica, contributing to a vibrant international network in stochastic analysis.

• Numerical Analysis
• Iterative Methods
• Nonlinear Equations
• +7 more

Vicente Fco Candela Pomares is an Associate Professor in the Department of Mathematics at the Faculty of Mathematics, University of Valencia, Spain. His academic career has been centered on numerical analysis and computational mathematics, with a focus on iterative methods for nonlinear equations and multiresolution techniques. His research interests lie primarily in Numerical Analysis , especially iterative root-finding methods such as Halley, Chebyshev, and Steffensen-type algorithms. He has contributed significantly to the convergence analysis of these methods, particularly in Banach spaces and for ill-conditioned problems. His work extends to multiresolution analysis , wavelets , and image restoration , where he applies fractional regularization and nonlinear approximation frameworks. The trends in his recent publications show a sustained focus on derivative-free iterative methods , convergence theory , and applications in image processing . His work often bridges theoretical numerical analysis with practical computational challenges. He earned his PhD from the University of Valencia in 1988 under the supervision of Dr. Antonio Marquina Vila, with a thesis on a priori error estimators for iterative methods. He has collaborated extensively with researchers including Sergio Amat, Sonia Busquier, and Rosa Peris. Notable co-authors include Pantaleón D. Romero and Francesc Aràndiga. His publications appear in high-quality journals such as Journal of Computational and Applied Mathematics , Applied Mathematics and Computation , and SIAM journals. He is actively affiliated with the University of Valencia, as evidenced by his institutional email and ongoing publications. There is no indication of part-time status, retirement, or awards in the available data.

Fredrik BerntssonView profile

Associate Professor

• Inverse Problems
• Ill-Posed Problems
• Numerical Analysis
• +9 more

Fredrik Berntsson is an Associate Professor (Docent) in the Department of Mathematics at Linköping University, Sweden. He is affiliated with the Division of Applied Mathematics (TIMA) within the Faculty of Science and Engineering. His work bridges theoretical mathematics and practical applications in engineering and industrial processes. Research Interests: His primary research focuses on inverse and ill-posed problems, particularly in the context of partial differential equations such as the Helmholtz and heat equations. He investigates mathematical modeling and numerical analysis of physical systems, with applications in inverse heat conduction, image processing, biomechanics, and structural dynamics. His interest extends to the stability and accuracy of computational methods used in simulations. Publication Trends: From 2021 to 2025, his publications show a consistent focus on inverse problems, especially iterative methods like Dirichlet-Robin and Robin-Dirichlet procedures for solving Cauchy problems. He also explores industrial applications, such as thermal tracking in steel production and optimal actuator placement in pedestrian-bridge systems, demonstrating a blend of theoretical rigor and real-world relevance. Teaching: He teaches courses in scientific computing, linear algebra, and programming, contributing to both undergraduate and graduate education in mathematical sciences. Affiliations: Department of Mathematics (MAI), Linköping University Division of Applied Mathematics (TIMA) Faculty of Science and Engineering, Linköping University Scientific Awards: No awards listed in the provided text. Advising and Grants: No specific information on students or doctoral advisees is provided. No direct mention of grants or funded projects is available, though his research areas suggest involvement in computational and applied mathematics funding streams. Labs and Research Groups: Applied Mathematics (TIMA) division at MAI focuses on computational mathematics, optimization, and mathematical statistics, where Berntsson conducts his research. His work on steel production simulation involved collaboration with SSAB, indicating industrial research partnerships.

Dehan ChenView profile

Associate Professor

• Inverse Problems in PDEs
• Regularization Theory
• Evolution Equations
• +7 more

Dehan Chen is an Associate Professor at the School of Mathematics & Statistics, Central China Normal University, and currently a Researcher at the University of Duisburg-Essen. His research lies at the intersection of applied analysis and inverse problems, with a strong focus on partial differential equations and regularization theory. His research interests include: Inverse Problems in PDEs Regularization Theory Evolution Equations Ill-Posed Problems Mathematical Modeling Nonlinear Dynamics The analysis of his recent publications reveals a consistent and deep engagement with variational source conditions, Tikhonov regularization in Banach spaces, and inverse problems in both elliptic and parabolic systems. His work often bridges theoretical analysis with applications in physics and biology, such as electromagnetic modeling and population dynamics. A strong emphasis is placed on convergence rates and stability in ill-posed settings. His notable scientific recognition includes the prestigious Alexander von Humboldt Fellowship. This award highlights his international research impact and collaborative work in Germany. While no formal students are listed, his frequent collaborations with prominent mathematicians such as Jun Zou, Bernd Hofmann, and Irwin Yousept suggest active participation in research teams and potential advisory roles. He has not received mention of external grants, but his sustained publication record in top-tier journals indicates strong research productivity. He is affiliated with research groups focusing on optimal control and inverse problems at the University of Duisburg-Essen, particularly within the AG Optimal Control of Partial Differential Equations, contributing to a vibrant mathematical research environment.