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SUMMARY:Valeria Simoncini (Università di Bologna\, Italy)
DTSTART:20210629T140000Z
DTEND:20210629T150000Z
DTSTAMP:20260423T021035Z
UID:SNAP/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SNAP/5/">Mat
 rix-oriented numerical methods for semilinear PDEs</a>\nby Valeria Simonci
 ni (Università di Bologna\, Italy) as part of Seminars on Numerics and Ap
 plications\n\n\nAbstract\nThe numerical solution of time dependent semilin
 ear partial differential equations in two space dimensions typically leads
  to discretized problems of large size. <br />\nUnder certain hypotheses o
 n the physical domain\, the space-discretized problem can be formulated as
  a matrix differential equation\, with significant advantages in the compu
 tational costs\, memory requirements and structure preservation. Moreover\
 , time integrators can conveniently exploit this matrix framework. <br />\
 nTo mitigate the difficulties associated with fine discretizations\, prope
 r orthogonal decompositions (POD) methodologies and discrete empirical int
 erpolation (DEIM) strategies are commonly employed to reduce the problem d
 imensions. We propose a novel matrix-oriented POD/DEIM approach that allow
 s us to apply matrix time integrators to the reduced differential problem.
 <br />\n<i>These are joint works with Maria Chiara D'Autilia and Ivonne Sg
 ura (Università del Salento)\, and Gerhard Kirsten (Università di Bologn
 a).</i>\n
LOCATION:https://researchseminars.org/talk/SNAP/5/
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