Bülent Karasözen

Orcid: 0000-0003-1037-5431

Affiliations:
  • Middle East Technical University, Ankara, Turkey


According to our database1, Bülent Karasözen authored at least 66 papers between 1981 and 2023.

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Bibliography

2023
Reduced-order modeling for Ablowitz-Ladik equation.
Math. Comput. Simul., November, 2023

Linearly implicit methods for Allen-Cahn equation.
Appl. Math. Comput., August, 2023

Linearly implicit exponential integrators for damped Hamiltonian PDEs.
CoRR, 2023

Global energy preserving model reduction for multi-symplectic PDEs.
Appl. Math. Comput., 2023

2022
Structure-preserving model reduction of multi-symplectic PDEs.
CoRR, 2022

Nonintrusive model order reduction for cross-diffusion systems.
Commun. Nonlinear Sci. Numer. Simul., 2022

Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation.
Appl. Math. Comput., 2022

2021
Structure-preserving reduced-order modeling of Korteweg-de Vries equation.
Math. Comput. Simul., 2021

Intrusive and non-intrusive reduced order modeling of the rotating thermal shallow water equation.
CoRR, 2021

Reduced order modelling of nonlinear cross-diffusion systems.
Appl. Math. Comput., 2021

2020
Pricing European and American options under Heston model using discontinuous Galerkin finite elements.
Math. Comput. Simul., 2020

Structure-preserving reduced order modelling of thermal shallow water equation.
CoRR, 2020

Data-Driven Learning of Reduced-order Dynamics for a Parametrized Shallow Water Equation.
CoRR, 2020

Structure-preserving reduced-order modelling of Korteweg de Vries equation.
CoRR, 2020

Model Order Reduction in Neuroscience.
CoRR, 2020

Structure-preserving Reduced Order Modeling of non-traditional Shallow Water Equation.
CoRR, 2020

Reduced order optimal control of the convective FitzHugh-Nagumo equations.
Comput. Math. Appl., 2020

2019
High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation.
Int. J. Comput. Math., 2019

Structure Preserving Model Order Reduction of Shallow Water Equations.
CoRR, 2019

Structure preserving reduced order modeling for gradient systems.
Appl. Math. Comput., 2019

2018
Energy preserving model order reduction of the nonlinear Schrödinger equation.
Adv. Comput. Math., 2018

2017
Optimal control of convective FitzHugh-Nagumo equation.
Comput. Math. Appl., 2017

Structure preserving integration and model order reduction of skew-gradient reaction-diffusion systems.
Ann. Oper. Res., 2017

Moving mesh discontinuous Galerkin methods for PDEs with traveling waves.
Appl. Math. Comput., 2017

2015
Model order reduction for nonlinear Schrödinger equation.
Appl. Math. Comput., 2015

Time-Space Adaptive Method of Time Layers for the Advective Allen-Cahn Equation.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015

Model Order Reduction for Pattern Formation in FitzHugh-Nagumo Equations.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015

2014
An all-at-once approach for the optimal control of the unsteady Burgers equation.
J. Comput. Appl. Math., 2014

Aggregate codifferential method for nonsmooth DC optimization.
J. Comput. Appl. Math., 2014

Distributed optimal control of time-dependent diffusion-convection-reaction equations using space-time discretization.
J. Comput. Appl. Math., 2014

Recent Advances in Applied and Computational Mathematics: ICACM-IAM-METU.
J. Comput. Appl. Math., 2014

Variational time discretization methods for optimal control problems governed by diffusion-convection-reaction equations.
J. Comput. Appl. Math., 2014

A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations.
Comput. Optim. Appl., 2014

Adaptive discontinuous Galerkin methods for non-linear diffusion-convection-reaction equations.
Comput. Chem. Eng., 2014

2013
Optimal boundary control for time-dependent diffusion-convection-reaction equations.
Int. J. Math. Model. Numer. Optimisation, 2013

Energy preserving integration of bi-Hamiltonian partial differential equations.
Appl. Math. Lett., 2013

Adaptive Discontinuous Galerkin Methods for Nonlinear Diffusion-Convection-Reaction Equations.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

Reduced Order Optimal Control Using Proper Orthogonal Decomposition Sensitivities.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

2012
Natural convection in porous annular domains: Mimetic scheme and family of steady states.
J. Comput. Phys., 2012

Staggered grids for three-dimensional convection of a multicomponent fluid in a porous medium.
Comput. Math. Appl., 2012

2011
Classification through incremental max-min separability.
Pattern Anal. Appl., 2011

Solving optimal control problems for the unsteady Burgers equation in COMSOL Multiphysics.
J. Comput. Appl. Math., 2011

Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrödinger equation.
J. Comput. Appl. Math., 2011

Optimization of Supply Chain Systems with Price Elasticity of Demand.
INFORMS J. Comput., 2011

Convection in a Porous Medium and Mimetic Scheme in Polar Coordinates.
Proceedings of the Computer Algebra in Scientific Computing - 13th International Workshop, 2011

2009
Multi-symplectic integration of coupled non-linear Schrödinger system with soliton solutions.
Int. J. Comput. Math., 2009

Modeling and simulation of metabolic networks for estimation of biomass accumulation parameters.
Discret. Appl. Math., 2009

Preface.
Discret. Appl. Math., 2009

A Mimetic Finite-Difference Scheme for Convection of Multicomponent Fluid in a Porous Medium.
Proceedings of the Computer Algebra in Scientific Computing, 11th International Workshop, 2009

2008
Derivative free optimization methods for optimizing stirrer configurations.
Eur. J. Oper. Res., 2008

Staggered grids discretization in three-dimensional Darcy convection.
Comput. Phys. Commun., 2008

2007
Challenges of Continuous Optimization in Theory and Applications.
Eur. J. Oper. Res., 2007

Symplectic and multi-symplectic methods for coupled nonlinear Schrödinger equations with periodic solutions.
Comput. Phys. Commun., 2007

2006
Optimization in Data Mining.
Eur. J. Oper. Res., 2006

Feature Cluster "Advances in Continuous Optimization".
Eur. J. Oper. Res., 2006

2005
Mimetic discretization of two-dimensional Darcy convection.
Comput. Phys. Commun., 2005

Numerical method for optimizing stirrer configurations.
Comput. Chem. Eng., 2005

2004
Poisson integrators.
Math. Comput. Model., 2004

2003
Invariant Manifolds and Grobman-Hartman Theorem for Equations with Degenerate Operator at the Derivative.
Proceedings of the Computational Science - ICCS 2003, 2003

2001
Dynamics of numerical Methods for cosymmetric Ordinary differential equations.
Int. J. Bifurc. Chaos, 2001

Conservative Finite Difference Schemes for Cosymmetric Systems.
Proceedings of the Computer Algebra in Scientific Computing, 2001

1998
Modified iterative methods for linear systems of equations.
Int. J. Comput. Math., 1998

Runge-kutta methods for hamiltonian systems in non-standard symplectic two-form.
Int. J. Comput. Math., 1998

1996
An error analysis of iterated defect correction methods for linear differential-algebraic equations.
Int. J. Comput. Math., 1996

Runge-Kutta collocation methods for rigid body lie-poisson equations.
Int. J. Comput. Math., 1996

1981
Modellbildung und Empfindlichkeitsanalyse bei physikalischen Prozessen, die durch Systeme mit verteilten Parametern beschrieben werden.
PhD thesis, 1981


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