Towing to the massive increase in computing power seen over the past decades, complex numerical simulations have become a key tool both in science and industry. This focus area introduces students to the mathematical and algorithmic foundations underlying numerical simulation. It comprises the rigorous mathematical analysis of numerical methods, often concerned with issues of discretization, approximation and convergence, the development and analysis of numerical algorithms, the implementation of these algorithms on modern computer architectures, and the use of numerical methods in conjunction with mathematical modeling to solve large-scale practical problems.  Particular research foci are numerical methods for partial differential equations (finite elements, adaptive finite element methods), numerical linear algebra, PDE-constrained optimization, model order reduction techniques, and algorithms for uncertainty quantification.

The list of elective courses in this specialized area  is not limited to the list given below, and the list is expanded on a continuing basis; courses outside the list can be accepted as electives subject to approval by the student's adviser.

Possible Elective Courses @ METU
  • CENG577 - Parallel Computing
  • CENG780 - Sparse Matrix Computations
  • EE554 - Optimal Control Theory
  • IAM511 - Algorithms and Complexity
  • IAM664 - Inverse Problems
  • IAM760 - Model Order Reduction
  • IAM762 - Adaptive Finite Elements and Optimal Control
  • IAM765 - Special Topics: Finite Elements: Adaptivity
  • IAM766 - Special Topics: Optimal Control with Partial Differential Equations
  • IAM767 - Special Topics: Iterative Methods for Large Scale Linear and Nonlinear Equations
  • IAM768 - Special Topics: Method and Applications of Uncertainty Quantification
  • IAM769 - Special Topics: Reaction-Diffusion systems: Applications and Numerics
  • IAM770 - Special Topics: Discontinuous Galerkin Methods
  • IAM771 - Special Topics: Optimization Methods for Machine Learning
  • IE553 - Linear Optimization
  • IE555 - Nonlinear Optimization
  • MATH570 - Functional Analysis
  • MATH583 - Partial Differential Equations
  • MATH595 - The Boundary Element Methods and Applications
  • ME507 - Applied Optimal Control

Last Updated:
16/02/2020 - 17:05