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Numerical Solutions of Partial Differential Equations (Paperback, 2009 ed.)
Loot Price: R1,495
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Numerical Solutions of Partial Differential Equations (Paperback, 2009 ed.)
Series: Advanced Courses in Mathematics - CRM Barcelona
Expected to ship within 10 - 15 working days
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This book contains an expanded and smoothed version of lecture
notes delivered by the authors at the Advanced School on Numerical
Solutions of Partial Di?- ential Equations: New Trends and
Applications, which took place at the Centre de Recerca Matem atica
(CRM) in Bellaterra (Barcelona) from November 15th to 22nd, 2007.
The book has three parts. The ?rst part, by Silvia Bertoluzza and
Silvia Falletta, is devoted to the use of wavelets to derive some
new approaches in the numerical solution of PDEs, showing in
particular how the possibility of wr- ing equivalent norms for the
scale of Besov spaces allows to write down some new
methods.Thesecondpart, byGiovanniRusso,
providesanoverviewofthemodern finite-volume and finite-difference
shock-capturing schemes for systems of cons- vationandbalancelaws,
with emphasisingiving auni?ed viewofsuchschemesby identifying the
essential aspects of their construction. In the last part Chi-Wang
Shugivesageneralintroductionto thediscontinuousGalerkinmethods
forsolving some classes of PDEs, discussing cell entropy
inequalities, nonlinear stability and error estimates. The school
that originated these notes was born with the objective of p-
viding an opportunity for PhD students, recent PhD doctorates and
researchers in general in ?elds of applied mathematics and
engineering to catch up with - portant developments in the ?elds
and/or to get in touch with state-of-the-art numerical techniques
that are not covered in usual courses at graduate leve
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