Intrepid Explorer

Solving PDEs with Intrepid

Intrepid is a Trilinos package for advanced discretizations of Partial Differential Equations (PDEs). The package provides a comprehensive set of tools for local, cell-based construction of a wide range of numerical methods for PDEs. This paper describes the mathematical ideas and software design principles incorporated in the package. We also provide representative examples showcasing the use ...

The Intrepid Waitress Problem

An intrepid waitress leaves a restaurant kitchen with a stack of n different sized pancakes. Before she reaches her patrons, she wishes to iterate through all possible stack orderings using only a spatula and performing flips of various sizes. But is this possible? This problem corresponds to constructing a Hamilton path in the “pancake network”, or equivalently, to find a Gray code for permuta...

Trepid and Intrepid Travelers

Edy wrinkled her nose. “Why?” she asked. “It will be wonderful!” I exclaimed. “The people are different. The animals are different. Even the countryside is different. It will be a fantastic getaway. We’ll have a great time. Can you think of anyplace better to go?” “Martha’s Vineyard,” she answered. “Someplace nearby. I don’t want adventure. I just want to spend time with you.” Sensing my disapp...

Space Explorer

Explorer MOSAIC

Background: The recent availability of complete sequences for numerous closely related bacterial genomes opens up new challenges in comparative genomics. Several methods have been developed to align complete genomes at the nucleotide level but their use and the biological interpretation of results are not straightforward. It is therefore necessary to develop new resources to access, analyze, an...