This volume contains thirteen articles on advances in applied
mathematics and computing methods for engineering problems. Six papers
are on optimization methods and algorithms with emphasis on problems
with multiple criteria; four articles are on numerical methods for
applied problems modeled with nonlinear PDEs; two contributions are on
abstract estimates for error analysis; finally one paper deals with rare
events in the context of uncertainty quantification. Applications
include aerospace, glaciology and nonlinear elasticity.
Herein is a selection of contributions from speakers at two conferences
on applied mathematics held in June 2012 at the University of Jyväskylä,
Finland. The first conference, "Optimization and PDEs with Industrial
Applications" celebrated the seventieth birthday of Professor Jacques
Périaux of the University of Jyväskylä and Polytechnic University of
Catalonia (Barcelona Tech) and the second conference, "Optimization and
PDEs with Applications" celebrated the seventy-fifth birthday of
Professor Roland Glowinski of the University of Houston.
This work should be of interest to researchers and practitioners as well
as advanced students or engineers in computational and applied
mathematics or mechanics.