Researcher in Numerical Analysis (Master's Degree)

Reza Masoumzadeh

Education

****–**** Master of Numerical Analysis, Amirkabir University of Technology (Tehran Poly- technic), Tehran, Iran.

GPA: 4.0 / 4.0

2017–2021 Bachelor of Mathematics and Applications, Isfahan University of Technology, Isfahan, Iran.

GPA: 3.6 / 4.0

Masters Thesis

Title Simulation of two-phase flows based on the incompressible Cahn-Hilliard-Navier- Stokes (CHNS) equations

Supervisors Professor Mehdi Dehghan & Associate Professor Mostafa Abbaszadeh Description

{ Focused on the CHNS system, which couples the Cahn–Hilliard equation with the incompressible Navier–Stokes equations to model binary fluid dynamics.

{ Developed a novel numerical algorithm that is linear in both time and space, requiring the solution of only a linear algebraic system at each time step, resulting in high computational efficiency.

{ Demonstrated that the proposed scheme is unconditionally energy stable.

{ Applied Isogeometric Analysis (IGA) using Non-Uniform Rational B-Spline

(NURBS) basis functions to construct exact geometric representations.

{ Used the Isogeometric Collocation (IGC) method to approximate spatial derivatives.

{ Simulated the Phase-Field Crystal (PFC) equation under Dirichlet boundary conditions to study microstructure evolution on atomic and diffusive time scales.

{ Employed a second-order stabilized semi-implicit scheme for temporal discretiza- tion and IGA for spatial components.

{ Investigated the two-dimensional non-stationary incompressible Boussinesq equations for modeling natural convection in viscous fluids.

{ Discretized the time component using a semi-implicit scheme in the stream- function formulation and applied IGA for spatial discretization. Isfahan – Iran

H +98-913******* • B ****.**********@***.**.** 1/3 Expertise in Numerical Methods and Computational Techniques

{ Isogeometric Analysis (IGA)

{ Spectral Methods

{ Meshless Methods

{ Finite Difference Method

{ Finite Element Method

Teaching Assistant Experience

{ Numerical Linear Algebra (2022 & 2023)

{ Data Mining (2023)

{ Advanced Numerical Analysis (2023)

{ Engineering Mathematics (2024 & 2025)

Programming and Technical Tools

Advanced MATLAB, Maple, LATEX

Intermediate Python, C#, Microsoft Windows

Basic C, R, Magma

Languages

English Upper-Intermediate (Preparing for TOEFL) Conversationally fluent German Basic Basic words and phrases only

Persian Native

Publications and Manuscripts

{ R. Masoumzadeh, M. Abbaszadeh, M. Dehghan, Isogeometric collocation method to simulate phase-field crystal model, International Journal of Numerical Methods for Heat & Fluid Flow, Accepted, 2024.

{ R. Masoumzadeh, et al. A new approach to the numerical solution of time fractional differential equations using least squares support vector regression, Manuscript in prepa- ration, 2025.

Research Interests and Specialized Skills

{ Numerical Solution of Partial, Time-Fractional, and Integro-Differential Equations

{ Computational Fluid Dynamics (CFD)

{ Computational Biology and Applied Mathematics

{ Data-Driven Methods: Least Squares Support Vector Regression (LSSVR)

{ Machine Learning in Scientific Computing

{ Data Science and Artificial Intelligence

{ Physics-Informed Neural Networks (PINNs)

Soft Skills

{ Responsibility

{ Time Management

{ Problem-Solving & Creativity & Flexibility

{ Teamwork & Leadership

Isfahan – Iran

H +98-913******* • B ****.**********@***.**.** 2/3

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