Fatih Ecevit

Associate Professor

Research interests

Numerical analysis, partial differential equations, high-frequency scattering problems, asymptotic analysis

Refereed journal publications

[13] F. Ecevit and C.Y. Yıldırım:
*The pseudoinverse of the Laplacian matrix: Asymptotic behavior of its trace*,
Analysis Mathematica (to appear).

[12] A. Boysal, F. Ecevit and C.Y. Yıldırım:
*Asymptotic evaluation of a lattice sum associated with the Laplacian matrix*,
Analysis Mathematica (2022) 48(3):649-682.

[11] F. Ecevit , A. Anand, Y. Boubendir and S. Lazergui:
*Spectral Galerkin boundary element methods for high-frequency sound-hard scattering problems*,
Numerische Mathematik (2022) 150(3):803-847.

[10] F. Ecevit , A. Anand and Y. Boubendir:
*Galerkin boundary element methods for high-frequency multiple scattering problems*,
Journal of Scientific Computing (2020) 83(1):1-21.

[9] F. Ecevit and H.H. Eruslu:
*A Galerkin BEM for high-frequency scattering problems based on frequency dependent changes of variables*,
IMA Journal of Numerical Analysis (2019) 39(2):893-923.

[8] A. Boysal, F. Ecevit and C.Y. Yıldırım:
*A lattice sum involving the cosine function*,
Journal of Mathematical Analysis and Applications (2018) 463(1):134-160.

[7] F. Ecevit:
*Frequency independent solvability of surface scattering problems*,
Turkish J. Math. (2018) 42(2):407-422.

[6] F. Ecevit and H.Ç. Özen:
*Frequency-adapted Galerkin boundary element methods for convex scattering problems*,
Numerische Mathematik (2017) 135(1):27-71.

[5] Y. Boubendir, F. Ecevit and F. Reitich:
*Acceleration of an Iterative Method for the Evaluation of High-Frequency Multiple Scattering Effects*,
SIAM Journal on Scientific Computing (2017) 39(6):B1130-B1155.

[4] E. Duman, F. Ecevit, Ç. Çakır and O. Altan:
*A novel collection optimization solution maximizing long-term profits: a case study in an International Bank*,
Journal of Decision Systems (2017) 26(4):328-340.

[3] A. Anand, Y. Boubendir, F. Ecevit and F. Reitich:
*Analysis of multiple scattering iterations for high-frequency scattering problems. II: The three-dimensional scalar case*,
Numerische Mathematik (2010) 114(3):373-427.

[2] F. Ecevit and F. Reitich:
*Analysis of multiple scattering iterations for high-frequency scattering problems. I: The two-dimensional case*,
Numerische Mathematik (2009) 114(2):271-354.

[1] F. Ecevit:
*Asymptotic expansions of multiply scattered surface currents*,
Proceedings in Applied Mathematics and Mechanics (2008) 7:1022701-1022702.

Refereed conference proceedings

[5] F. Ecevit and F. Reitich:
*Uniform asymptotic expansions of multiple scattering iterations*,
Proceedings of the 9th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Pau, France (2009), 130-131.

[4] Y. Boubendir, F. Ecevit and F. Reitich:
*High-frequency scattering problems: An appropriate preconditioner for a Krylov subspace algorithm*,
Proceedings of the 9th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Pau, France (2009), 264-265.

[3] Y. Boubendir, F. Ecevit and F. Reitich:
*Krylov subspace based acceleration strategies for the solution of high-frequency multiple scattering problems*,
Proceedings of the 8th International Conference on Mathematical and Numerical Aspects of Wave Propagation, University of Reading, UK (2007), 41-43.

[2] F. Ecevit and F. Reitich:
*Decay of multiple scattering iterates for trapping obstacles in the high-frequency regime*,
Proceedings of International Association of BEM, Graz, Austria (2006), 177-180.

[1] F. Ecevit and F. Reitich:
*A high-frequency integral equation method for electromagnetic and acoustic scattering simulations: rate of convergence of multiple scattering iterations*,
Proceedings of the 7th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Brown University, Providence, RI (2005), 145-147.

Technical reports

[4] F. Ecevit:
*Convergent scattering algorithms*,
Oberwolfach Reports No. 10 (2010), 445-449.

[3] F. Ecevit:
*Analysis of boundary element methods for high-frequency scattering problems*,
Oberwolfach Reports, No. 19 (2008), 1000-1003.

[2] A. Anand, Y. Boubendir, F. Ecevit and F. Reitich:
*Analysis of multiple scattering iterations for high-frequency scattering problems. II: The three-dimensional scalar case*,
Max Planck Institute for Mathematics in the Sciences, Preprint 147 (2006), 1-27.

[1] F. Ecevit and F. Reitich:
*Analysis of multiple scattering iterations for high-frequency scattering problems. I: The two-dimensional case*,
Max Planck Institute for Mathematics in the Sciences, Preprint 137 (2006), 1-37.