Hasan H. Eruslu
- Courses2
- Reviews2
- School: University of Delaware
- Campus:
- Department: Mathematics
- Email address: Join to see
- Phone: Join to see
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Location:
University of Delaware
Newark, DE - 19716 - Dates at University of Delaware: July 2017 - December 2017
- Office Hours: Join to see
Biography
University of Delaware - Mathematics
Research Assistant at University of Delaware
Research
Hasan H.
Eruslu
Newark, Delaware
I study numerical analysis of transient viscoelastic waves, and build computational tools and simulations using MATLAB. I also work on an efficient algorithm for surface segmentation in 3D images using Python.
Experience
Francisco Sayas MATLAB Coding Team
Code Developer
- Producing vectorized, fast and parallelized algorithms with a team of 5-7 using MATLAB.
- Problems in 3D settings including behavior of viscoelastic materials, acoustic wave solid interactions, electromagnetic wave propagation, etc.
- Achieved at least 1e-05 of accuracy in benchmark problems with high order polynomial approximation.University of Delaware
Research Assistant
- Funded by NSF Computational Mathematics program through my advisor Dr. Francisco Sayas.
- Developing robust computational tools to study the deformation and stress in solids.University of Delaware
Graduate Teaching Assistant
- Led discussion sessions of Calculus courses for STEM majors.
- Achieved above 95% rating of excellence in student evaluations.National Institute of Standards and Technology
Guest Researcher/Research Assistant Intern
- Research Assistant Intern supported by Theiss Research at National Institute of Standards and Technology (NIST).
- Developed an object oriented Python library for surface segmentation problem.
- Resolved the boundary of a synthetic simple connected 3D object in given images with an accuracy corresponding in average to 50% of the object edge width.National Institute of Standards and Technology
Guest Researcher/Research Assistant Intern
Supported by Theiss Research, continued to the development of the library of Python tools for 3D surface segmentation for material images.
Education
University of Delaware
Master's degree
Applied Mathematics
University of Delaware
Doctor of Philosophy - PhD
Applied Mathematics
Excellence in Graduate Teaching Award
Annual award of recognition and $1,500 financial gift to at most two of more than 2000 graduate instructors/teaching assistants across the university.Francisco Sayas MATLAB Coding Team
Code Developer
- Producing vectorized, fast and parallelized algorithms with a team of 5-7 using MATLAB. - Problems in 3D settings including behavior of viscoelastic materials, acoustic wave solid interactions, electromagnetic wave propagation, etc. - Achieved at least 1e-05 of accuracy in benchmark problems with high order polynomial approximation.University of Delaware
Research Assistant
- Funded by NSF Computational Mathematics program through my advisor Dr. Francisco Sayas. - Developing robust computational tools to study the deformation and stress in solids.University of Delaware
Graduate Teaching Assistant
- Led discussion sessions of Calculus courses for STEM majors. - Achieved above 95% rating of excellence in student evaluations.Boğaziçi University
Master of Science - MS
Mathematics
Publications
A Galerkin BEM for high-frequency scattering problems based on frequency-dependent changes of variables
IMA Journal of Numerical Analysis
We develop a new class of semidiscrete Galerkin boundary element methods for the solution of two-dimensional exterior single-scattering problems. Our theoretical results are confirmed by numerical tests that show that, for sufficiently large DoF, the error tends to decrease with increasing wavenumber k.
A Galerkin BEM for high-frequency scattering problems based on frequency-dependent changes of variables
IMA Journal of Numerical Analysis
We develop a new class of semidiscrete Galerkin boundary element methods for the solution of two-dimensional exterior single-scattering problems. Our theoretical results are confirmed by numerical tests that show that, for sufficiently large DoF, the error tends to decrease with increasing wavenumber k.
Analysis of models for viscoelastic wave propagation
Applied Mathematics and Nonlinear Sciences
The problem of waves propagating in a viscoelastic solid is studied. For the material properties of the solid we consider both classical and fractional differentiation in time versions of the Zener, Maxwell, and Voigt models, where the coupling of different models within the same solid are covered as well. We investigate the stability of each model in details and offer some numerical experiments that highlight some of the differences between the models and how different parameters effect the results.
