Slovakias economy continues to perform extremely well both in terms of macroeconomic outcomes and public finances. Employment is rising, prices have been stable, and the external account is near balance. Poverty and income inequality are low, and the countrys environmental footprint has improved markedly. However, population ageing, projected to be one of the steepest in the OECD on the basis of the expected change in the old-age dependency ratio, will pose policy and social challenges in the decades ahead. They will be compounded by the persistent emigration of young, particularly educated people, as well as the weak integration of the numerous Roma. Other concerns are the work disincentives faced by women and high long-term unemployment. Widely different labour market outcomes between Bratislava and the eastern part of the country also contribute to large regional per capita GDP gaps and a dual functioning of the economy. The authorities have continued their reform process over the last few years to address these issues, which require improving public-sector efficiency. Making growth more inclusive for the Roma, women and the chronically unemployed will require further reforms in education, health care and the labour market, along with better infrastructure. SPECIAL FEATURES: ENHANCING SKILLS; IMPROVING THE HEALTH-CARE SYSTEM
This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016. The event brought together many prominent researchers in both Mathematical Analysis and Numerical Computing, the goal being to promote interdisciplinary collaborations. Accordingly, the following thematic areas were developed: 1. Lagrangian discretizations and wavefront tracking for synchronization models; 2. Astrophysics computations and post-Newtonian approximations; 3. Hyperbolic balance laws and corrugated isometric embeddings; 4. Caseology techniques for kinetic equations; 5. Tentative computations of compressible non-standard solutions; 6. Entropy dissipation, convergence rates and inverse design issues. Most of the articles are presented in a self-contained manner; some highlight new achievements, while others offer snapshots of the state of the art in certain fields. The book offers a unique resource, both for young researchers looking to quickly enter a given area of application, and for more experienced ones seeking comprehensive overviews and extensive bibliographic references. Laurent Gosse received the M.S. and Ph.D. degrees both in Mathematics from Universities of Lille 1 and Paris IX Dauphine in 1991 and 1997 respectively. Between 1997 and 1999 he was a TMR postdoc in IACM-FORTH (Heraklion, Crete) mostly working on well-balanced numerical schemes and a posteriori error estimates with Ch. Makridakis. From 1999 to 2001, he was postdoc in Universtity of LAquila (Italy) working on stability theory for systems of balance laws and multiphase computations in geometrical optics with K-multibranch solutions. In 2001, he moved to University of Pavia working on asymptotic-preserving schemes and degenerate parabolic equations with G. Toscani. In 2002, he was granted a permanent researcher position at CNR in Bari (Italy) where he developed Lagrangian schemes for nonlinear diffusion models and a stable inversion algorithm for Markov moment problem with O. Runborg. Numerical investigation of semiclassical WKB approximation for quantum models of crystals was conducted with P.A. Markowich between 2003 and 2006. Since 2011, he holds a CNR position at both Roma and University of LAquila and works mainly on the applications of Caseology to well-balanced schemes for collisional kinetic equations. Roberto Natalini received his PhD in Mathematics from the University of Bordeaux I (France) in 1986. He has been the Director of the National Research Council of Italys Istituto per le Applicazioni del Calcolo since 2014. His research interests include: analysis of hyperbolic systems of conservation laws, fluid dynamics, road traffic, semiconductors, chemical damage to monuments, and biomathematics. He serves on the Board of the Italian Society of Industrial and Applied Mathematics and is Chair of the European Mathematical Societys Raising Awareness Committee.