{"id":{"repo_id":"greece","oai_identifier":"oai:10442/0022"},"canonical_url":"https://search.dev.ndltd.org/etd/greece/oai:10442/0022","repository":{"repo_id":"greece","name":"Greek National Archive of PhD Theses","base_url":"https://phdtheses.ekt.gr/eadd_oai/request"},"display":{"title":"ΟΛΟΚΛΗΡΩΤΙΚΕΣ ΚΑΙ ΟΛΟΚΛΗΡΩΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ ΜΕ ΛΟΓΑΡΙΘΜΙΚΕΣ ΙΔΙΟΜΟΡΦΙΕΣ: ΑΡΙΘΜΗΤΙΚΗ ΕΠΙΛΥΣΗ & ΕΦΑΡΜΟΓΕΣ ΣΤΗΝ ΕΠΙΠΕΔΗ ΕΛΑΣΤΙΚΟΤΗΤΑ","abstract":"THE AIM OF THE THESIS IS TO DETERMINE NUMERICAL METHODS FOR THE EVALUATION OF INTEGRALS OR THE SOLUTION OF INTEGRAL AND INTEGRODIFFERENTIAL EQUATIONS WHEN THE INTEGRAND PRESENTS LOGARITHMIC SINGULARITIES AND THE APPLICATION OF THESE METHODS TO PLENE ELASTICITY PROBLEMS WHICH MAY BE REDUCED TO SUCH EQUATIONS. ASFAR AS THE EXTEND IS CONCERNED, VARIOUS COMBINATIONS OF SINGULAR WEIGHT FUNCTIONS WITH SINGULAR KERNELS, LOGARITHMIC OR CAUCHY TYPE, ARE CONSIDERED. AS FAR AS THE METHODOLOGY IS CONCERNED, BOTH THE METHOD OF \"SPECIAL\" AND THAT OF \"ARBITRARY COLOCATION POINTS XK\" ARE EMPLOYED.","abstract_html":"THE AIM OF THE THESIS IS TO DETERMINE NUMERICAL METHODS FOR THE EVALUATION OF INTEGRALS OR THE SOLUTION OF INTEGRAL AND INTEGRODIFFERENTIAL EQUATIONS WHEN THE INTEGRAND PRESENTS LOGARITHMIC SINGULARITIES AND THE APPLICATION OF THESE METHODS TO PLENE ELASTICITY PROBLEMS WHICH MAY BE REDUCED TO SUCH EQUATIONS. ASFAR AS THE EXTEND IS CONCERNED, VARIOUS COMBINATIONS OF SINGULAR WEIGHT FUNCTIONS WITH SINGULAR KERNELS, LOGARITHMIC OR CAUCHY TYPE, ARE CONSIDERED. AS FAR AS THE METHODOLOGY IS CONCERNED, BOTH THE METHOD OF "SPECIAL" AND THAT OF "ARBITRARY COLOCATION POINTS XK" ARE EMPLOYED.","abstract_has_math":false,"creators":["Chrisakis, Anastasios","Χρυσάκης, Αναστάσιος"],"institution":"National Technical University of Athens (NTUA)","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1986,"date_issued":"1986","date_published":"1986","updated_at":"2026-07-24T02:25:08Z","subjects":["Αριθμητική μέθοδος","Ελαστικότητα","ΙΔΙΟΜΟΡΦΙΑ CANCHY","ΛΟΓΑΡΙΘΜΙΚΗ ΙΔΙΟΜΟΡΦΙΑ","Ολοκληροδιαφορικές εξισώσεις","Ολοκληρωτικές εξισώσεις","ΠΡΟΒΛΗΜΑΤΑ ΕΠΑΦΗΣ","ΠΡΟΒΛΗΜΑΤΑ ΡΩΓΜΩΝ","CANCHY TYPE SINGULARITIES","CONTACT PROBLEMS","CRACK PROBLEMS","Elasticity","Integral equations","Integrodifferential equations","LOGARITHMIC SINGULARITIES","Numerical methods","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"],"languages":["gre"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0022"],"render_values":[{"text":"10.12681/eadd/0022","href":"https://doi.org/10.12681/eadd/0022","code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10442/hedi/0022","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Chrisakis, Anastasios","Χρυσάκης, Αναστάσιος"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1986"]},{"key":"dc:publisher","label":"Institution","values":["National Technical University of Athens (NTUA)","Εθνικό Μετσόβιο Πολυτεχνείο (ΕΜΠ)"]},{"key":"dc:type","label":"Dc Type","values":["PhD Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Αριθμητική μέθοδος","Ελαστικότητα","ΙΔΙΟΜΟΡΦΙΑ CANCHY","ΛΟΓΑΡΙΘΜΙΚΗ ΙΔΙΟΜΟΡΦΙΑ","Ολοκληροδιαφορικές εξισώσεις","Ολοκληρωτικές εξισώσεις","ΠΡΟΒΛΗΜΑΤΑ ΕΠΑΦΗΣ","ΠΡΟΒΛΗΜΑΤΑ ΡΩΓΜΩΝ","CANCHY TYPE SINGULARITIES","CONTACT PROBLEMS","CRACK PROBLEMS","Elasticity","Integral equations","Integrodifferential equations","LOGARITHMIC SINGULARITIES","Numerical methods","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["gre"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0022","http://hdl.handle.net/10442/hedi/0022"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["THE AIM OF THE THESIS IS TO DETERMINE NUMERICAL METHODS FOR THE EVALUATION OF INTEGRALS OR THE SOLUTION OF INTEGRAL AND INTEGRODIFFERENTIAL EQUATIONS WHEN THE INTEGRAND PRESENTS LOGARITHMIC SINGULARITIES AND THE APPLICATION OF THESE METHODS TO PLENE ELASTICITY PROBLEMS WHICH MAY BE REDUCED TO SUCH EQUATIONS. ASFAR AS THE EXTEND IS CONCERNED, VARIOUS COMBINATIONS OF SINGULAR WEIGHT FUNCTIONS WITH SINGULAR KERNELS, LOGARITHMIC OR CAUCHY TYPE, ARE CONSIDERED. AS FAR AS THE METHODOLOGY IS CONCERNED, BOTH THE METHOD OF \"SPECIAL\" AND THAT OF \"ARBITRARY COLOCATION POINTS XK\" ARE EMPLOYED.","ΤΟ ΑΝΤΙΚΕΙΜΕΝΟ ΤΗΣ ΔΙΑΤΡΙΒΗΣ ΕΙΝΑΙ Ο ΠΡΟΣΔΙΟΡΙΣΜΟΣ ΚΑΤΑΛΛΗΛΩΝ ΑΡΙΘΜΗΤΙΚΩΝ ΜΕΘΟΔΩΝ ΓΙΑ ΤΟΝ ΠΡΟΣΔΙΟΡΙΣΜΟ ΟΛΟΚΛΗΡΩΜΑΤΩΝ 'Η ΤΗΝ ΕΠΙΛΥΣΗ ΟΛΟΚΛΗΡΩΤΙΚΩΝ ΚΑΙ ΟΛΟΚΛΗΡΩΔΙΑΦΟΡΙΚΩΝ ΕΞΙΣΩΣΕΩΝ ΣΤΗΝ ΠΕΡΙΠΤΩΣΗ ΠΟΥ Η ΟΛΟΚΛΗΡΩΤΕΑ ΣΥΝΑΡΤΗΣΗ ΠΑΡΟΥΣΙΑΖΕΙ (ΚΑΙ) ΛΟΓΑΡΙΘΜΙΚΕΣ ΙΔΙΟΜΟΡΦΙΕΣ ΚΑΙ, ΑΚΟΛΟΥΘΩΣ, Η ΕΦΑΡΜΟΓΗ ΤΩΝ ΜΕΘΟΔΩΝ ΣΕ ΠΡΟΒΛΗΜΑΤΑ ΤΗΣ ΕΠΙΠΕΔΗΣ ΕΛΑΣΤΙΚΟΤΗΤΑΣ ΠΟΥ ΑΝΑΓΟΝΤΑΙ ΣΕ ΤΕΤΟΙΟΥ ΕΙΔΟΥΣ ΟΛΟΚΛΗΡΩΤΙΚΕΣΕΞΙΣΩΣΕΙΣ. ΩΣ ΠΡΟΣ ΤΗΝ ΕΚΤΑΣΗ ΤΟΥ ΘΕΜΑΤΟΣ, ΕΞΕΤΑΖΟΝΤΑΙ ΔΙΑΦΟΡΟΙ ΣΥΝΔΥΑΣΜΟΙ ΙΔΙΟΜΟΡΦΩΝ ΣΥΝΑΡΤΗΣΕΩΝ ΒΑΡΟΥΣ ΜΕ ΙΔΙΟΜΟΡΦΟΥΣ ΠΥΡΗΝΕΣ, ΛΟΓΑΡΙΘΜΙΚΟΥΣ 'Η ΤΥΠΟΥ CAUCHY. ΩΣ ΠΡΟΣ ΤΗΝ ΜΕΘΟΔΟΛΟΓΙΑ, ΕΦΑΡΜΟΖΕΤΑΙ ΤΟΣΟ Η ΜΕΘΟΔΟΣ ΤΩΝ \"ΕΙΔΙΚΩΝ\" ΟΣΟ ΚΑΙ Η ΤΩΝ \"ΑΥΘΑΙΡΕΤΩΝ ΣΗΜΕΙΩΝ ΕΦΑΡΜΟΓΗΣ\"."]},{"key":"dc:title","label":"Title","values":["ΟΛΟΚΛΗΡΩΤΙΚΕΣ ΚΑΙ ΟΛΟΚΛΗΡΩΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ ΜΕ ΛΟΓΑΡΙΘΜΙΚΕΣ ΙΔΙΟΜΟΡΦΙΕΣ: ΑΡΙΘΜΗΤΙΚΗ ΕΠΙΛΥΣΗ & ΕΦΑΡΜΟΓΕΣ ΣΤΗΝ ΕΠΙΠΕΔΗ ΕΛΑΣΤΙΚΟΤΗΤΑ","INTEGRAL AND INTEGRODIFFERENTIAL EQUATIONS WITH LOGARITHMIC SINGULARITIES: NUMERICAL SOLUTION AND APPLICATIONS IN PLANE ELASTICITY"]}]}],"canonical_facts":{"dc:creator":["Chrisakis, Anastasios","Χρυσάκης, Αναστάσιος"],"dc:date":["1986"],"dc:description":["THE AIM OF THE THESIS IS TO DETERMINE NUMERICAL METHODS FOR THE EVALUATION OF INTEGRALS OR THE SOLUTION OF INTEGRAL AND INTEGRODIFFERENTIAL EQUATIONS WHEN THE INTEGRAND PRESENTS LOGARITHMIC SINGULARITIES AND THE APPLICATION OF THESE METHODS TO PLENE ELASTICITY PROBLEMS WHICH MAY BE REDUCED TO SUCH EQUATIONS. ASFAR AS THE EXTEND IS CONCERNED, VARIOUS COMBINATIONS OF SINGULAR WEIGHT FUNCTIONS WITH SINGULAR KERNELS, LOGARITHMIC OR CAUCHY TYPE, ARE CONSIDERED. AS FAR AS THE METHODOLOGY IS CONCERNED, BOTH THE METHOD OF \"SPECIAL\" AND THAT OF \"ARBITRARY COLOCATION POINTS XK\" ARE EMPLOYED.","ΤΟ ΑΝΤΙΚΕΙΜΕΝΟ ΤΗΣ ΔΙΑΤΡΙΒΗΣ ΕΙΝΑΙ Ο ΠΡΟΣΔΙΟΡΙΣΜΟΣ ΚΑΤΑΛΛΗΛΩΝ ΑΡΙΘΜΗΤΙΚΩΝ ΜΕΘΟΔΩΝ ΓΙΑ ΤΟΝ ΠΡΟΣΔΙΟΡΙΣΜΟ ΟΛΟΚΛΗΡΩΜΑΤΩΝ 'Η ΤΗΝ ΕΠΙΛΥΣΗ ΟΛΟΚΛΗΡΩΤΙΚΩΝ ΚΑΙ ΟΛΟΚΛΗΡΩΔΙΑΦΟΡΙΚΩΝ ΕΞΙΣΩΣΕΩΝ ΣΤΗΝ ΠΕΡΙΠΤΩΣΗ ΠΟΥ Η ΟΛΟΚΛΗΡΩΤΕΑ ΣΥΝΑΡΤΗΣΗ ΠΑΡΟΥΣΙΑΖΕΙ (ΚΑΙ) ΛΟΓΑΡΙΘΜΙΚΕΣ ΙΔΙΟΜΟΡΦΙΕΣ ΚΑΙ, ΑΚΟΛΟΥΘΩΣ, Η ΕΦΑΡΜΟΓΗ ΤΩΝ ΜΕΘΟΔΩΝ ΣΕ ΠΡΟΒΛΗΜΑΤΑ ΤΗΣ ΕΠΙΠΕΔΗΣ ΕΛΑΣΤΙΚΟΤΗΤΑΣ ΠΟΥ ΑΝΑΓΟΝΤΑΙ ΣΕ ΤΕΤΟΙΟΥ ΕΙΔΟΥΣ ΟΛΟΚΛΗΡΩΤΙΚΕΣΕΞΙΣΩΣΕΙΣ. ΩΣ ΠΡΟΣ ΤΗΝ ΕΚΤΑΣΗ ΤΟΥ ΘΕΜΑΤΟΣ, ΕΞΕΤΑΖΟΝΤΑΙ ΔΙΑΦΟΡΟΙ ΣΥΝΔΥΑΣΜΟΙ ΙΔΙΟΜΟΡΦΩΝ ΣΥΝΑΡΤΗΣΕΩΝ ΒΑΡΟΥΣ ΜΕ ΙΔΙΟΜΟΡΦΟΥΣ ΠΥΡΗΝΕΣ, ΛΟΓΑΡΙΘΜΙΚΟΥΣ 'Η ΤΥΠΟΥ CAUCHY. ΩΣ ΠΡΟΣ ΤΗΝ ΜΕΘΟΔΟΛΟΓΙΑ, ΕΦΑΡΜΟΖΕΤΑΙ ΤΟΣΟ Η ΜΕΘΟΔΟΣ ΤΩΝ \"ΕΙΔΙΚΩΝ\" ΟΣΟ ΚΑΙ Η ΤΩΝ \"ΑΥΘΑΙΡΕΤΩΝ ΣΗΜΕΙΩΝ ΕΦΑΡΜΟΓΗΣ\"."],"dc:identifier":["10.12681/eadd/0022","http://hdl.handle.net/10442/hedi/0022"],"dc:language":["gre"],"dc:publisher":["National Technical University of Athens (NTUA)","Εθνικό Μετσόβιο Πολυτεχνείο (ΕΜΠ)"],"dc:subject":["Αριθμητική μέθοδος","Ελαστικότητα","ΙΔΙΟΜΟΡΦΙΑ CANCHY","ΛΟΓΑΡΙΘΜΙΚΗ ΙΔΙΟΜΟΡΦΙΑ","Ολοκληροδιαφορικές εξισώσεις","Ολοκληρωτικές εξισώσεις","ΠΡΟΒΛΗΜΑΤΑ ΕΠΑΦΗΣ","ΠΡΟΒΛΗΜΑΤΑ ΡΩΓΜΩΝ","CANCHY TYPE SINGULARITIES","CONTACT PROBLEMS","CRACK PROBLEMS","Elasticity","Integral equations","Integrodifferential equations","LOGARITHMIC SINGULARITIES","Numerical methods","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"],"dc:title":["ΟΛΟΚΛΗΡΩΤΙΚΕΣ ΚΑΙ ΟΛΟΚΛΗΡΩΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ ΜΕ ΛΟΓΑΡΙΘΜΙΚΕΣ ΙΔΙΟΜΟΡΦΙΕΣ: ΑΡΙΘΜΗΤΙΚΗ ΕΠΙΛΥΣΗ & ΕΦΑΡΜΟΓΕΣ ΣΤΗΝ ΕΠΙΠΕΔΗ ΕΛΑΣΤΙΚΟΤΗΤΑ","INTEGRAL AND INTEGRODIFFERENTIAL EQUATIONS WITH LOGARITHMIC SINGULARITIES: NUMERICAL SOLUTION AND APPLICATIONS IN PLANE ELASTICITY"],"dc:type":["PhD Thesis"]},"updated_at":"2026-07-24T02:25:08Z"}