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SUMMARY:PILLAR Course: Numerical Analysis
DTSTART;VALUE=DATE-TIME:20261102T130000Z
DTEND;VALUE=DATE-TIME:20270212T111500Z
DTSTAMP;VALUE=DATE-TIME:20261106T142900Z
UID:indico-event-984@indico.gssi.it
DESCRIPTION:LecturersNicola Guglielmi nicola.guglielmi@gssi.it     
                                      
     Francesco Paolo Maiale francescopaolo.maiale@gssi.itMarco Sutti ma
 rco.sutti@gssi.itLudovico Bruni Bruno ludovico.bruni@gssi.itTimetable and 
 workloadLectures: 60 hoursCalendar: available at this linkCourse descripti
 on and outcomesThis course is an introduction to some topics of modern num
 erical analysis. The primary objective of the course is to develop graduat
 e-level understanding of computational mathematics and skills to solve a r
 ange real-world mathematical problems on a computer by implementing advanc
 ed numerical algorithms using a scientific computing language (such as MAT
 LAB or Python). The main topics covered by the course consist of numerical
  integration of differential equations\, and numerical methods for continu
 ous optimization. Special topics will include delay differential equations
  and eigenvalue optimization with applications. Course requirementsCalcul
 us\, linear algebra and basic numerical analysis. Previous programming exp
 erience in any language may help. Further details on recommended previous 
 knowledge in numerical analysis can be found in the course programme docum
 ent\, which is uploaded in the Materials section.Course contentThe course 
 will cover the following topics (further details can be found in the cours
 e program document uploaded in the Materials section):Numerical integratio
 n of differential equations - 1.1 Quadrature\; 1.2 One step methods for OD
 Es\; 1.3 Adaptation to DDEsNumerical optimization - 2.1 Gradient methods\;
  2.2 Constrained optimizationMatrix nearness problems and eigenvalue optim
 ization - 3.1 Eigenvalue optimizationReferencesR. Fletcher\, Practical met
 hods of optimization. Second edition. Wiley-Interscience [John Wiley & Son
 s]\, New York\, 2001. xiv+436 pp.W. Gautschi\, Numerical analysis. An intr
 oduction. Birkh¨auser Boston\, Inc.\, Boston\, MA\, 1997.N. Guglielmi and
  C. Lubich: Matrix nearness problems and eigenvalue optimization\, https:/
 /arxiv.org/abs/2503.14750E. Hairer\, S. Nørsett and G. Wanner\, Solving o
 rdinary differential equations. I. Nonstiff problems. Second edition. Spri
 nger Series in Computational Mathematics\, 8. Springer-Verlag\, Berlin\, 1
 993.J. Nocedal and S.J. Wright\, Numerical Optimization. Second edition\, 
 Springer\, New York\, 2006.J. Stoer and R. Bulirsch\, Introduction to nume
 rical analysis. Translated from the German by R. Bartels\, W. Gautschi and
  C. Witzgall. Third edition. Texts in Applied Mathematics\, 12. Springer-V
 erlag\, New York\, 2002. Examination and gradingWritten exam and practica
 l (computational) assessment at the end of the course. \n\nhttps://indico
 .gssi.it/event/984/
LOCATION:Ex-INPS building (GSSI)
URL:https://indico.gssi.it/event/984/
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