424 citations
- Middle East Technical UniversityTR163 papers
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Showing 2019 · math.NAShow all
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math.NA2019★ 19 cited
Structure Preserving Model Order Reduction of Shallow Water Equations
Bülent Karasözen, Süleyman Yıldız, Murat Uzunca
In this paper, we present two different approaches for constructing reduced-order models (ROMs) for the two-dimensional shallow water equation (SWE). The first one is based on the…
math.NA2019★ 5 cited
Adaptive Discontinuous Galerkin Finite Elements for Advective Allen-Cahn Equation
Murat Uzunca, Ayşe Sarıaydın-Filibelioğlu
We apply a space adaptive interior penalty discontinuous Galerkin method for solving advective Allen-Cahn equation with expanding and contracting velocity fields. The advective All…
math.NA2019
Preservation of the invariants of Lotka-Volterra equations by iterated deferred correction methods
Murat Uzunca
In this paper we apply Kahan's nonstandard discretization to three dimensional Lotka-Volterra equations in bi-Hamiltonian form. The periodicity of the solutions and all polynomial…