{"id":9798,"date":"2022-09-28T10:10:52","date_gmt":"2022-09-28T07:10:52","guid":{"rendered":"http:\/\/icb.sci.uth.gr\/?page_id=9798"},"modified":"2024-05-20T13:36:43","modified_gmt":"2024-05-20T10:36:43","slug":"special-topics-of-numerical-analysis","status":"publish","type":"page","link":"http:\/\/icb.sci.uth.gr\/?page_id=9798&lang=en","title":{"rendered":"TOPICS IN NUMERICAL ANALYSIS &amp; APPLIED MATHEMATICS"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"9798\" class=\"elementor elementor-9798 elementor-2381\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6f317a24 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6f317a24\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-wider\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-5c40aa0d\" data-id=\"5c40aa0d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-440c0025 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"440c0025\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4989cfa4 elementor-widget elementor-widget-text-editor\" data-id=\"4989cfa4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>TOPICS IN NUMERICAL ANALYSIS &amp; APPLIED MATHEMATICS<\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4bf7a2d8 elementor-widget elementor-widget-text-editor\" data-id=\"4bf7a2d8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Second Semester<br \/>7.5 ECTS<\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-64cf3ef9 elementor-widget elementor-widget-text-editor\" data-id=\"64cf3ef9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Coordinator:<br \/>Maria Adam&nbsp;<\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5c91eb81 elementor-widget elementor-widget-text-editor\" data-id=\"5c91eb81\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Teaching Staff:<br \/><a href=\"http:\/\/dib.uth.gr\/?personnel=vpp\" target=\"_blank\" rel=\"noopener\">Vassilios Plagianakos <\/a>,&nbsp;<a href=\"http:\/\/dib.uth.gr\/?personnel=madam\" target=\"_blank\" rel=\"noopener\">Maria Adam<\/a>,&nbsp;<br \/><a href=\"http:\/\/math.uth.gr\/academp\/aretaki\/\" target=\"_blank\" rel=\"noopener\">Aikaterini Aretaki<\/a>,&nbsp;<a href=\"http:\/\/dib.uth.gr\/?personnel=kdelimpasis\" target=\"_blank\">Konstantinos Delimpasis<\/a>, Fotios Mpampouklis.<\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-50b6db8e elementor-widget elementor-widget-text-editor\" data-id=\"50b6db8e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Click on the attachment to view or download the course outline. <br \/><a href=\"http:\/\/icb.sci.uth.gr\/wp-content\/uploads\/2022\/11\/%CE%95%CE%B9%CE%B4%CE%B9%CE%BA%CE%AC-%CE%98%CE%AD%CE%BC%CE%B1%CF%84%CE%B1-%CE%91%CF%81%CE%B9%CE%B8%CE%BC%CE%B7%CF%84%CE%B9%CE%BA%CE%AE%CF%82-%CE%91%CE%BD%CE%AC%CE%BB%CF%85%CF%83%CE%B7%CF%82-%CE%BA%CE%B1%CE%B9-%CE%95%CF%86%CE%B1%CF%81%CE%BC%CE%BF%CF%83%CE%BC%CE%AD%CE%BD%CF%89%CE%BD-%CE%9C%CE%B1%CE%B8%CE%B7%CE%BC%CE%B1%CF%84%CE%B9%CE%BA%CF%8E%CE%BD.pdf\" target=\"_blank\" rel=\"noopener\">Topics in Numerical Analysis &amp; Applied Mathematics<\/a><\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4d4ab8e0 elementor-button-info elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"4d4ab8e0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-size-md\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">madam[a]uth.gr<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2ca7a05f elementor-button-info elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"2ca7a05f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-md\" href=\"http:\/\/dib.uth.gr\/?personnel=madam\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Curriculum vitae.<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-66de59ce elementor-button-info elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"66de59ce\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-md\" href=\"https:\/\/eclass.uth.gr\/courses\/DIB_P_118\/\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">e-class<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-2527f76f\" data-id=\"2527f76f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2007be32 elementor-widget elementor-widget-text-editor\" data-id=\"2007be32\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><u style=\"font-family: 'Open Sans', sans-serif;\"><br \/><\/u><u style=\"font-family: 'Open Sans', sans-serif;\">Description.<\/u><u style=\"font-family: 'Open Sans', sans-serif;\"><br \/><\/u><\/p>\n<p><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">Norms for vectors and matrices. Characteristic and minimal polynomial of a matrix. Properties eigenvalues and eigenvectors of the special matrices (symmetric, Hermitian, normal, unitary, orthogonal). Schur\u2019s triangularization theorem. Canonical forms (diagonalization, Jordan canonical form). Singular value Decomposition (SVD) and its applications. Factorization QR, LU, and the associated algorithms. Positive matrices. Nonnegative matrices. Irredusible nonnegative matrices, Primitive matrices. Numerical range of a matrix and its properties. Matrix polynomials and their applications on differential equations. Interpolation (linear, cubic, Lagrange, Spline, Hermite). Interpolation kernels. Applications. Numerical solutions of Partial Differential Equations and their applications on image processing. Numerical integration.<\/span><\/p>\n<p><span style=\"font-family: Open Sans, sans-serif;\"><u>Bibliography:<\/u> <br \/><\/span><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">1. James E. Gentle, Matrix Algebra, \u0397\u03bb\u03b5\u03ba\u03c4\u03c1\u03bf\u03bd\u03b9\u03ba\u03cc \u0392\u03b9\u03b2\u03bb\u03af\u03bf, \u03b5\u03ba\u03b4\u03cc\u03c4\u03b7\u03c2 HEAL-Link Springer ebooks.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">2. Thomas S. Shores, Applied Linear Algebra and Matrix Analysis, \u0397\u03bb\u03b5\u03ba\u03c4\u03c1\u03bf\u03bd\u03b9\u03ba\u03cc \u0392\u03b9\u03b2\u03bb\u03af\u03bf, \u03b5\u03ba\u03b4\u03cc\u03c4\u03b7\u03c2 HEAL-Link Springer ebooks.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">3. Alan J. Laub, \u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u039c\u03b7\u03c4\u03c1\u03ce\u03c9\u03bd \u03b3\u03b9\u03b1 \u0395\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03bf\u03bd\u03b5\u03c2 \u03ba\u03b1\u03b9 \u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03bf\u03cd\u03c2, \u03b5\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u039a\u039b\u0395\u0399\u0394\u0391\u03a1\u0399\u0398\u039c\u039f\u03a3 \u0395\u03a0\u0395, 1\u03b7 \u03ad\u03ba\u03b4\u03bf\u03c3\u03b7 2010.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">4. R.A. Horn and C.R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, second edition, 2013.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">5. R.A. Horn and C.R. Johnson, \u03a4opics in Matrix Analysis, Cambridge University Press, Cambridge, fourth edition, 1999.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">6. L.N. Trefethen and D. Bau III, Numerical Linear Algebra, SIAM, 1997.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">7. G.W. Stewart and Ji-g Sun, Matrix perturbation theory, Academic Press, 1990.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">8. \u0393\u03b5\u03ce\u03c1\u03b3\u03b9\u03bf\u03c2 \u0394\u03bf\u03bd\u03ac\u03c4\u03bf\u03c2 \u03ba\u03b1\u03b9 \u039c\u03b1\u03c1\u03af\u03b1 \u0391\u03b4\u03ac\u03bc, \u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae \u0386\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1, \u03b5\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u0393. \u0394\u0391\u03a1\u0394\u0391\u039d\u039f\u03a3 &#8211; \u039a. \u0394\u0391\u03a1\u0394\u0391\u039d\u039f\u03a3 \u039f.\u0395., <\/span><a style=\"background-color: #ffffff; font-family: 'Open Sans', sans-serif; text-align: left;\" href=\"https:\/\/service.eudoxus.gr\/search\/#a\/id:22768507\/0\">2008<\/a><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">, \u039a\u03c9\u03b4. \u0395\u03c5\u03b4\u03cc\u03be\u03bf\u03c5 [31174].<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">9. \u039c\u03b9\u03c7\u03b1\u03ae\u03bb \u0392\u03c1\u03b1\u03c7\u03ac\u03c4\u03b7\u03c2, \u0391\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7: \u0395\u03b9\u03c3\u03b1\u03b3\u03c9\u03b3\u03ae \u03b5\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u039a\u039b\u0395\u0399\u0394\u0391\u03a1\u0399\u0398\u039c\u039f\u03a3 \u0395\u03a0\u0395, 1\u03b7 \u03ad\u03ba\u03b4\u03bf\u03c3\u03b7 2011.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">10. \u039d\u03b9\u03ba\u03cc\u03bb\u03b1\u03bf\u03c2 \u039c\u03b9\u03c3\u03c5\u03c1\u03bb\u03ae\u03c2, \u0391\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7, \u0395\u03a4\u0391\u0399\u03a1\u0395\u0399\u0391 \u0391\u039e\u0399\u039f\u03a0\u039f\u0399\u0397\u03a3\u0395\u03a9\u03a3 \u039a\u0391\u0399 \u0394\u0399\u0391\u03a7\u0395\u0399\u03a1\u0399\u03a3\u0395\u03a9\u03a3 \u03a4\u0397\u03a3 \u03a0\u0395\u03a1\u0399\u039f\u03a5\u03a3\u0399\u0391\u03a3 \u03a4\u039f\u03a5 \u03a0\u0391\u039d\u0395\u03a0\u0399\u03a3\u03a4\u0397\u039c\u0399\u039f\u03a5 \u0391\u0398\u0397\u039d\u03a9\u039d, \u0391\u0398\u0397\u039d\u0391 2\u03b7 \u03ad\u03ba\u03b4\u03bf\u03c3\u03b7 2017.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">11. \u0393. \u03a3\u03bf\u03c6\u03b9\u03b1\u03bd\u03cc\u03c2 \u03ba\u03b1\u03b9 \u0395.\u0398. \u03a4\u03c5\u03c7\u03cc\u03c0\u03bf\u03c5\u03bb\u03bf\u03c2, \u0391\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7, \u03b5\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a3\u03a4\u0391\u039c\u039f\u03a5\u039b\u0397 \u0391.\u0395., 2005.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">12. \u03a3\u03b1\u03c1\u03c1\u03ae\u03c2 \u03ba\u03b1\u03b9 \u0398. \u039a\u03b1\u03c1\u03b1\u03ba\u03b1\u03c3\u03af\u03b4\u03b7\u03c2, \u0391\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ad\u03c2 \u039c\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u03ba\u03b1\u03b9 \u0395\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ad\u03c2 \u03b3\u03b9\u03b1 \u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03bf\u03cd\u03c2, \u0395\u039a\u0394\u039f\u03a3\u0395\u0399\u03a3 \u0391. \u03a4\u0396\u0399\u039f\u039b\u0391 &amp; \u03a5\u0399\u039f\u0399 \u0391.\u0395., 2\u03b7 \u03ad\u03ba\u03b4\u03bf\u03c3\u03b7 2017.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">13. Carlo Vercellis, Business Intelligence: Data Mining and Optimization for Decision Making, John Wiley &amp; Sons, 2009.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">14. Heppner, F. and Grenander, U.: A stochastic nonlinear model for coordinated bird flocks. In S.Krasner, Ed., The Ubiquity of Chaos. AAAS Publications, Washington, DC, 1990.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">15. Kennedy, J., Eberhart, R. C., and Shi, Y., Swarm intelligence, San Francisco: Morgan Kaufmann Publishers, 2001.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">16. KE Parsopoulos, MN Vrahatis, Particle swarm optimization and intelligence: advances and applications, Information Science Reference, 2010.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">17. T. M. Lehmann, Gonner, C., and Spitzer, K. Survey: Interpolation methods in medical image processing, IEEE Transactions on Medical Imaging, 18(11), (1999), 1049-1075.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">18. Infinite impulse response (IIR) prefiltering algorithm described in the work of Unser et al [IEEE T. SP, 41, 1993]<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">19. T. Blu, P. Thevenaz, and . Unser, Complete Parameterization of P iecewise-Polynomial Interpolation Kernels, IEEE TRANSACTIONS on Image Processing, 12(11), 2003.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">20. K. Delibasis, A. Kechriniotis and Il. Maglogiannis, On Centered and Compact Signal and Image Derivatives for Feature Extraction, 9th Artificial Intelligence Applications and Innovations (AIAI), Sep 2013, Paphos, Greece. pp.318-327, ff10.1007\/978-3-642-41142-7_33ff.<\/span><br style=\"font-family: 'Open Sans', sans-serif; text-align: left;\"><span style=\"font-family: 'Open Sans', sans-serif; text-align: left;\">21. <\/span><a style=\"background-color: #ffffff; font-size: 14px;\" href=\"https:\/\/hal.inria.fr\/hal-01459628\" target=\"_blank\" rel=\"noopener\">https:\/\/hal.inria.fr\/hal-01459628<\/a><span style=\"font-family: Open Sans, sans-serif;\"><br \/><\/span><\/p><\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-459c69fe elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"459c69fe\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3fd5b777\" data-id=\"3fd5b777\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-145175ad elementor-widget elementor-widget-text-editor\" data-id=\"145175ad\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>The grade of the course results from an optional semester project and mandatory written exams at the end of the semester.<\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-71c58bc8 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"71c58bc8\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-1e49e881\" data-id=\"1e49e881\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8851c7f elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget 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class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"http:\/\/erasmus.uth.gr\/gr\/\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-people-arrows\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">ERASMUS<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/academicid.minedu.gov.gr\/\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-id-card\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Academic Identity<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-4eb2b098\" data-id=\"4eb2b098\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-57da952d elementor-align-start elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"57da952d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-map-marker-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">PAPASIOPOULOU 2-4, LAMIA<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-phone\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b><span style=\"font-size:12.0pt;font-family:\">MSc Programme Secretariat:<\/span><\/b> <span style=\"font-size:12.0pt;font-family:\">3rd<\/span> <span style=\"font-size:12.0pt;font-family:\">k.l.m. P.E.O. Lamia - Athens, 35100, Lamia,<\/span><br><span style=\"font-size:12.0pt;font-family:\">Tel:\n22310 \u2013 60225 60226<\/span><\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-envelope\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><span style=\"font-size:12.0pt;font-family:\">icb [at] dib.uth.gr <\/span><\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-af820d7\" data-id=\"af820d7\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-43a84467 gallery-spacing-custom elementor-widget elementor-widget-image-gallery\" data-id=\"43a84467\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image-gallery.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-image-gallery\">\n\t\t\t<div id='gallery-1' class='gallery galleryid-9798 gallery-columns-1 gallery-size-thumbnail'><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-slideshow=\"43a84467\" data-elementor-lightbox-title=\"Untitled\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6NTE1OCwidXJsIjoiaHR0cDpcL1wvaWNiLnNjaS51dGguZ3JcL3dwLWNvbnRlbnRcL3VwbG9hZHNcLzIwMjJcLzEyXC9VbnRpdGxlZC5wbmciLCJzbGlkZXNob3ciOiI0M2E4NDQ2NyJ9\" href='http:\/\/icb.sci.uth.gr\/wp-content\/uploads\/2022\/12\/Untitled.png'><img decoding=\"async\" width=\"150\" height=\"150\" src=\"http:\/\/icb.sci.uth.gr\/wp-content\/uploads\/2022\/12\/Untitled-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" srcset=\"http:\/\/icb.sci.uth.gr\/wp-content\/uploads\/2022\/12\/Untitled-150x150.png 150w, http:\/\/icb.sci.uth.gr\/wp-content\/uploads\/2022\/12\/Untitled-300x300.png 300w, http:\/\/icb.sci.uth.gr\/wp-content\/uploads\/2022\/12\/Untitled.png 588w\" sizes=\"(max-width: 150px) 100vw, 150px\" \/><\/a>\n\t\t\t<\/div><\/figure>\n\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>TOPICS IN NUMERICAL ANALYSIS &amp; APPLIED MATHEMATICS Second Semester7.5 ECTS Coordinator:Maria Adam&nbsp; Teaching Staff:Vassilios Plagianakos&#8230;<\/p>\n<div class=\"visionwp-site-button\"><a href=\"http:\/\/icb.sci.uth.gr\/?page_id=9798&#038;lang=en\" class=\"visionwp-primary-button\">Read More <i class=\"fa fa-long-arrow-right\"><\/i><\/a><\/div>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"content-type":"","footnotes":""},"class_list":["post-9798","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/icb.sci.uth.gr\/index.php?rest_route=\/wp\/v2\/pages\/9798","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/icb.sci.uth.gr\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/icb.sci.uth.gr\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/icb.sci.uth.gr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/icb.sci.uth.gr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=9798"}],"version-history":[{"count":12,"href":"http:\/\/icb.sci.uth.gr\/index.php?rest_route=\/wp\/v2\/pages\/9798\/revisions"}],"predecessor-version":[{"id":10345,"href":"http:\/\/icb.sci.uth.gr\/index.php?rest_route=\/wp\/v2\/pages\/9798\/revisions\/10345"}],"wp:attachment":[{"href":"http:\/\/icb.sci.uth.gr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9798"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}