Found 41 courses
SUBJECT

COURSE LEVEL

INSTITUTION

COURSE TYPE
natural sciences subject

Numerical Analysis

Nikolaos Stergioulas - Undergraduate - (A-)
School of Physics, Aristotle University of Thessaloniki

Introduction to Numerical Analysis (Solution to Nonlinear Equations, Linear Systems, Interpolation, Numerical Differentiation, Numerical Integration, Differential Equations)

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Numerical Analysis

Stavros Papaioannou - Undergraduate - (A+)
Civil Engineering Department, TEI of Central Macedonia

The Numerical Analysis is a whole new subject for the students of the Civil Engineering Department. The module will provide the students with the necessary knowledge to deal with various problems that they will encounter during their studies. The simple and double interpolation, the numerical integration and numerical solution of differential equations are examples of what the students will meet during their first degree studies, and, especially during Postgraduate Courses.

natural sciences subject

NUMERICAL ANALYSIS

FRANK COUTELIERIS - Undergraduate - (A+)
Chemical Engineering Department, University of Patras

Introduction (discretization, error analysis), Numerical Differentiation (forward, backward and central differences), Numerical Integration (trapezoid rule, Simpson rule, Newton-Cotes formulae), Interpolation/Extrapolation (Taylor, Lagrange polynomials), Numerical solution of algebraic equations (trial & error, bisection, Newton-Raphson), Numerical solution of linear systems (Gauss, Jacobi, Gauss-Seidel), Numerical Integration of Ordinary Differential Equations (Euler, Runge-Kutta), Finite Differences.

natural sciences subject

Applied Mathematics

George Biskos - Undergraduate - (A-)
Department of Environment, Aegean University

The course is a continuation of the compulsory course 'Mathematics I', including basic methods for describing environmental phenomena in mathematics, and solving problems with analytical and numerical methods. Familiarizing students with the tools of applied mathematics is carried out with the help of examples and applications in environmental issues related to three areas of the Department (environmental engineering, Ecosystem Management, and Humanities).

natural sciences subject

Numerical Analysis

Konstantinos Kleidis - Undergraduate - (A-)
Department of Mechanical Engineering, TEI of Central Macedonia

Errors calculations: Basic concepts, types of errors, error propagation in numerical calculations. Approximate expressions functions: The coincident polynomial and polynomials of Taylor and Mc Laurin, applications in numerical problem solving methods - complete functions in non-closed form. Numerical solution of algebraic equations: Finding roots - method of regula falsi, method of Newton-Raphson. Numerical interpolation: Linear interpolation full insertion by the method of Newton. Dual linear interpolation. Numerical differentiation: Linear derivation, complete derivatization by means of coincident polynomial Newton. Numerical integration: trapezoidal method, method of Cotes. Numerical solution of first-order differential equations: The method of Euler, the method of Taylor, the method of Runge-Kutta 2nd and 4th order.

natural sciences subject

not available

Ioannis Famelis - Undergraduate - (A-)
Department of Civil Engineering and Surveying & Geoinformatics Engineering, TEI of Athens

not available

engineering subject

Scientific Computing I

Efstratios Gallopoulos - Undergraduate - (A+)
Computer Engineering and Informatics, University of Patras

Scientific Computing I deals with basic topics concerning the development and the efficient use of computational tools useful mathematical models of science and technology are used in practice, e.g. in simulations.

natural sciences subject

Numerical Analysis

Panagiota Tsompanopoulou - Undergraduate - (A+)
Department of Electrical and Computer Engineering, University of Thessaly

Floating Point Arithmetic. Data and Function approximation methods with polynomials, splines, Bezier curves, trigonometric polynomials and Fourier series. Numerical methods for solving determined and over-determined linear equations (Least Square Methods). Numerical methods for nonlinear systems and applications to optimization problems. Numerical methods of eigenvalues ​​and eigenvectors approximation, SVD. Applications to problems of data compression and data mining. Numerical integration and differentiation. Solution methods for ordinary differential equations. Introduction to scientific programming with Matlab.

natural sciences subject

Numerical, Analysis

Nikolaos Missirlis - Undergraduate - (A+)
Informatics and Telecommunications, National and Kapodistrian University of Athens

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Aeroelasticity with application to wind turbines

Spyros, Vasilis Voutsinas, Riziotis - Undergraduate - (A+)
School of Mechanical Engineering, National Technical University of Athens

Fluid-structure interaction- multi-body dynamics, Hamilton’s principle, Lagrange equations, Beam theory, Bean equivalent structural properties, Eigen value analysis, Linear aeroelastic stability theory, theory of unsteady aerodynamics, aeroelastic coupling, application to wind turbines.