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NHM
2010
87views more  NHM 2010»
13 years 2 months ago
The coolest path problem
We introduce the coolest path problem, which is a mixture of two well-known problems from distinct mathematical fields. One of them is the shortest path problem from combinatorial ...
Martin Frank, Armin Fügenschuh, Michael Herty...
CORR
2004
Springer
142views Education» more  CORR 2004»
13 years 7 months ago
Modeling and Validating Hybrid Systems Using VDM and Mathematica
Hybrid systems are characterized by the hybrid evolution of their state: A part of the state changes discretely, the other part changes continuously over time. Typically, modern c...
Bernhard K. Aichernig, Reinhold Kainhofer
SIAMSC
2010
132views more  SIAMSC 2010»
13 years 6 months ago
New Algorithms for Optimal Online Checkpointing
Frequently, the computation of derivatives for optimizing time-dependent problems is based on the integration of the adjoint differential equation. For this purpose, the knowledge...
Philipp Stumm, Andrea Walther
SIAMNUM
2010
126views more  SIAMNUM 2010»
13 years 2 months ago
Smoothing under Diffeomorphic Constraints with Homeomorphic Splines
In this paper we introduce a new class of diffeomorphic smoothers based on general spline smoothing techniques and on the use of some tools that have been recently developed in th...
Jérémie Bigot, Sébastien Gada...
SIAMSC
2010
142views more  SIAMSC 2010»
13 years 6 months ago
Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics
This paper develops a nested iteration algorithm to solve time-dependent nonlinear systems of partial differential equations. For each time step, Newton’s method is used to form...
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCo...