# SPECTRAL AND STOCHASTIC METHODS

 Title ΦΑΣΜΑΤΙΚΕΣ ΚΑΙ ΣΤΟΧΑΣΤΙΚΕΣ ΜΕΘΟΔΟΙ / SPECTRAL AND STOCHASTIC METHODS Code ΓΠ0216 Faculty Engineering School Rural and Surveying Engineering Cycle / Level 2nd / Postgraduate Teaching Period Winter/Spring Common No Status Active Course ID 20000082

### Programme of Study: PPS Geoinformatics (2014-2015)

Registered students: 0
OrientationAttendance TypeSemesterYearECTS
Modern Geodetic ApplicationsCompulsory Course217.5

### Programme of Study: PPS Geoinformatics (2006-today)

Registered students: 0
OrientationAttendance TypeSemesterYearECTS
Contemporary Geodacy ApplicationsCompulsory Course215

 Academic Year 2018 – 2019 Class Period Spring Faculty Instructors Weekly Hours 4 Class ID 600128837
Course Type 2016-2020
• Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
• Face to face
Digital Course Content
Language of Instruction
• Greek (Instruction)
Prerequisites
General Prerequisites
Recommended undergraduate courses: INTRODUCTION TO THE GRAVITY FIELD, POTENTIAL THEORY, SIGNALS AND SPECTRAL METHODS IN GEOINFORMATICS, PHYSICAL GEODESY
Learning Outcomes
Advanced aspects of the stochastic and spectral approximation of the components of the Earth’s gravity field. The satellite missions of CHAMP, GRACE, GOCE and the gravity field. Applications of spectral and stochastic methods in geosciences. Software development for the computation of different components of the Earth’s gravity field using spectral and stochastic techniques.
General Competences
• Apply knowledge in practice
• Retrieve, analyse and synthesise data and information, with the use of necessary technologies
• Make decisions
• Work autonomously
• Work in an international context
• Work in an interdisciplinary team
• Generate new research ideas
Course Content (Syllabus)
Fourier and Hartley transforms in the plane and on the sphere. Hankel and Radon transforms. The input-output systems and their spectral representation. Parametric least-squares collocation. The Earth’s gravity field and its stochastic approximation. Combination of spectral and stochastic methods for applications in geosciences. Spectral analysis on the sphere. Spherical harmonic analysis and synthesis. Isostasy and gravity field. Spectral and hybrid methods in topographic mass modeling.
Educational Material Types
• Notes
• Slide presentations
Use of Information and Communication Technologies
Use of ICT
• Use of ICT in Course Teaching
• Use of ICT in Laboratory Teaching
• Use of ICT in Communication with Students
Course Organization
Lectures30