U.S.-Argentina Program: Harmonic Analysis and Numerical Analysis Problems in MRI and PDE

0126272 Nochetto这个美国-阿根廷奖将资助里卡多·H·Nochetto，马里兰州大学帕克分校（UMCP），与Hugo A. Aimar和Eleonar O. Harboure，Instituto de Matematica Aplicada del文学的（IMAL），Universidad Nacional del文学的in Santa Fe，Argentina，and Dr.卡洛斯Cabrelli of FCEyN，Universidad de Buenos Aires in Argentina. 他们的研究是经典和泛函分析的混合，应用于偏微分方程（PDE）的实际数值解。 这个问题是一个近似的解决方案，通过数学对象，可以计算。该项目将建立在每个组的优势和互补的利益，在谐波和数值分析的主题合作。 UMCP在线性和非线性PDE的自适应性以及基本小波理论和应用方面具有专业知识。 IMAL在小波应用于PDE和Besov空间方面具有专业知识。 他们将通过在两年内将双方聚集在一起进行六次访问来促进正在进行的合作。 此外，他们将包括高级研究生和博士后。 这一配对将促进两个研究领域、机构和国家之间的思想和技术的交流。

0126272NochettoThis US-Argentina award will fund a collaborative project between Dr. Ricardo H. Nochetto, University of Maryland, College Park (UMCP), in collaboration with Drs. Hugo A. Aimar and Eleonar O. Harboure, Instituto de Matematica Aplicada del Litoral (IMAL), Universidad Nacional del Litoral in Santa Fe, Argentina, and Dr. Carlos Cabrelli of FCEyN, Universidad de Buenos Aires in Argentina. Their research is a mix of classical and functional analysis as applied to the practical, numerical solution of partial differential equations (PDE). The problem is one of approximating solutions by means of mathematical objects that can be computed. This project will build upon the strengths and complementary interests of each group, to collaborate on the topics of harmonic and numerical analysis. UMCP has expertise on adaptivity for linear and nonlinear PDE as well as basic wavelet theory and applications. The IMAL has expertise on wavelet applications to PDE and Besov spaces. They will facilitate an ongoing collaboration by bringing both sides together for six visits over two years. In addition, they will include advanced graduate students and postdocs. This pairing will promote the cross-fertilization of ideas and techniques between the two research areas, institutions and countries.