Adaptivity is an essential tool in modern scientific andengineering computation that allows one to optimize thecomputational effort by locating the degrees of freedom wherethey are most needed, that is in regions of rapid solutionvariation. Adaptive finite element methods (AFEM) are the mostpopular and effective numerical methods to solve ellipt...
Creator:
Nochetto, Ricardo H. (University of Maryland)
Created:
2010-11-29
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The Fock operator, which appears in the widely used Hartree-Fock theory and Kohn-Sham density functional theory with hybrid exchange-correlation functionals, plays a central role modern quantum chemistry and materials science. The computational cost associated with the Fock exchange operator is however very high. In a simplified setting, the Har...
Creator:
Lin, Lin (University of California, Berkeley)
Created:
2017-04-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The interplay of experimental observations with mathematical models often requires conditioning models on data---for example, inferring the coefficients or boundary conditions of partial differential equations from noisy functionals of the solution field. The Bayesian approach to these problems in principle requires posterior sampling in high or...
Creator:
Marzouk, Youssef (Massachusetts Institute of Technology)
Created:
2013-01-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The Metropolis Algorithm is an extremely useful and popular method of approximately sampling from complicated probability distributions. "Adaptive" versions automatically modify the algorithm while it runs, to improve its performance on the fly, but at the risk of destroying the Markov chain properties necessary for the algorithm to be valid. I...
Creator:
Rosenthal, Jeffrey (University of Toronto)
Created:
2021-03-23
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Computer simulations based on the Hybrid Discrete-Continuous(HDC) mathematicalmodel of cancer invasion (Anderson et al., Cell. 2006,127:905)predict that the degree of severityof the tumor microenvironment (tmE) directly impacts on theemergence of invasion. Moreprecisely, harsh ME conditions (e.g., hypoxia, discontinuousmatrix, inflammation) sele...
Creator:
Quaranta, Vito (Vanderbilt University)
Created:
2008-03-05
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Cartographic Details: Scale [1:11,000,000]. Inset map:"Ptolemaicæ tabulæ (in parte maritima) brevis imago." Numbered 33. Shows rivers and settlements. Published by Harrison as part of an apparently untitled general atlas. Relief shown pictorially. Ferro meridian.
Creator:
Bourguignon d' Anville, Jean Baptiste, 1697-1782; Harrison, John, active 1784-1792
Created:
1788-01-14
Contributed By:
University of Minnesota Libraries, John R. Borchert Map Library.
