All Stories

  1. Nonlinear Reduced-Order Modeling of the Rotating Thermal Shallow Water Equation via Kernel Principal Component Analysis

    Article • Sinop Üniversitesi Fen Bilimleri Dergisi, June 2026, Sinop Universitesi Fen Bilimleri Dergisi

    Dr Murat Uzunca

  2. Linearly Implicit Exponential Integrators for Damped Hamiltonian Pdes

    Article • Mathematical Methods in the Applied Sciences, September 2025, Wiley

    Dr Murat Uzunca

  3. Linearly implicit methods for the nonlinear Klein–Gordon equation

    Article • Mathematics and Computers in Simulation, May 2025, Elsevier

    Dr Murat Uzunca

  4. Kernel Principal Component Analysis for Allen–Cahn Equations

    Article • Mathematics, November 2024, MDPI AG

    Dr Murat Uzunca

  5. Linearly implicit exponential integrators for damped Hamiltonian PDEs

    Article • October 2024, Authorea, Inc.

    Dr Murat Uzunca

  6. Kernel Principal Component Analysis for Allen–Cahn Equation

    Article • October 2024, MDPI AG

    Dr Murat Uzunca

  7. Nonlinear Reduced Order Modelling for Korteweg-de Vries Equation

    Article • International Journal of Informatics and Applied Mathematics, May 2024, International Association of Academics

    Dr Murat Uzunca

  8. Reduced-Order Modeling for Heston Stochastic Volatility Model

    Article • Hacettepe Journal of Mathematics and Statistics, January 2024, Hacettepe Journal of Biology and Chemistry

    Dr Murat Uzunca

  9. Linearly implicit methods for Allen-Cahn equation

    Article • Applied Mathematics and Computation, August 2023, Elsevier

    Dr Murat Uzunca

  10. Reduced-order modeling for Ablowitz-Ladik equation

    Article • Mathematics and Computers in Simulation, June 2023, Elsevier

    Dr Murat Uzunca

  11. Global energy preserving model reduction for multi-symplectic PDEs

    Article • Applied Mathematics and Computation, January 2023, Elsevier

    Dr Murat Uzunca

  12. Nonintrusive model order reduction for cross-diffusion systems

    Article • Communications in Nonlinear Science and Numerical Simulation, December 2022, Elsevier

    Dr Murat Uzunca

  13. Energy preserving reduced-order modeling of the rotating thermal shallow water equation

    Article • Physics of Fluids, May 2022, American Institute of Physics

    Dr Murat Uzunca, Bulent Karasozen

  14. Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation

    Article • Applied Mathematics and Computation, May 2022, Elsevier

    Dr Murat Uzunca

  15. Nonintrusive Model Order Reduction for Cross-Diffusion Systems

    Article • January 2022, Elsevier

    Dr Murat Uzunca

  16. Structure-preserving reduced-order modeling of Korteweg–de Vries equation

    Article • Mathematics and Computers in Simulation, October 2021, Elsevier

    Dr Murat Uzunca

  17. Reduced order modelling of nonlinear cross-diffusion systems

    Article • Applied Mathematics and Computation, July 2021, Elsevier

    Dr Murat Uzunca

  18. Pricing European and American options under Heston model using discontinuous Galerkin finite elements

    Article • Mathematics and Computers in Simulation, November 2020, Elsevier

    Dr Murat Uzunca

  19. Structure preserving model order reduction of shallow water equations

    Article • Mathematical Methods in the Applied Sciences, July 2020, Wiley

    Dr Murat Uzunca

  20. Reduced order optimal control of the convective FitzHugh–Nagumo equations

    Article • Computers & Mathematics with Applications, August 2019, Elsevier

    Dr Murat Uzunca

  21. Structure preserving reduced order modeling for gradient systems

    Article • Applied Mathematics and Computation, April 2019, Elsevier

    Dr Murat Uzunca

  22. Energy Stable Discontinuous Galerkin Finite Element Method for the Allen–Cahn Equation

    Article • International Journal of Computational Methods, April 2018, World Scientific Pub Co Pte Lt

    Dr Murat Uzunca

  23. Energy preserving model order reduction of the nonlinear Schrödinger equation

    Article • Advances in Computational Mathematics, February 2018, Springer Science + Business Media

    Dr Murat Uzunca

  24. Optimal control of convective FitzHugh–Nagumo equation

    Article • Computers & Mathematics with Applications, May 2017, Elsevier

    Dr Murat Uzunca

  25. Energy Stable Interior Penalty Discontinuous Galerkin Finite Element Method for Cahn–Hilliard Equation

    Article • International Journal of Nonlinear Sciences and Numerical Simulation, January 2017, De Gruyter

    Dr Murat Uzunca, Bulent Karasozen

  26. Moving mesh discontinuous Galerkin methods for PDEs with traveling waves

    Article • Applied Mathematics and Computation, January 2017, Elsevier

    Dr Murat Uzunca

  27. Energy Stable Model Order Reduction for the Allen-Cahn Equation

    Article • January 2017, Springer Science + Business Media

    Dr Murat Uzunca

  28. Model Order Reduction for Pattern Formation in FitzHugh-Nagumo Equations

    Article • January 2016, Springer Science + Business Media

    Dr Murat Uzunca

  29. Time-Space Adaptive Method of Time Layers for the Advective Allen-Cahn Equation

    Article • January 2016, Springer Science + Business Media

    Dr Murat Uzunca

  30. Structure preserving integration and model order reduction of skew-gradient reaction–diffusion systems

    Article • Annals of Operations Research, November 2015, Springer Science + Business Media

    Dr Murat Uzunca

  31. Model order reduction for nonlinear Schrödinger equation

    Article • Applied Mathematics and Computation, May 2015, Elsevier

    Dr Murat Uzunca

  32. Adaptive Discontinuous Galerkin Methods for Nonlinear Diffusion-Convection-Reaction Equations

    Article • October 2014, Springer Science + Business Media

    Dr Murat Uzunca

  33. Time-space adaptive discontinuous Galerkin method for advection-diffusion equations with non-linear reaction mechanism

    Article • GEM - International Journal on Geomathematics, October 2014, Springer Science + Business Media

    Dr Murat Uzunca

  34. Adaptive discontinuous Galerkin methods for non-linear diffusion–convection–reaction equations

    Article • Computers & Chemical Engineering, September 2014, Elsevier

    Dr Murat Uzunca