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MMAS
2010
Springer
15 years 1 months ago
Balanced Truncation of Linear Second-Order Systems: A Hamiltonian Approach
We present a formal procedure for structure-preserving model reduction of linear second-order and Hamiltonian control problems that appear in a variety of physical contexts, e.g., ...
Carsten Hartmann, Valentina-Mira Vulcanov, Christo...
MMAS
2010
Springer
15 years 1 months ago
A Nonlinear PDE-Based Method for Sparse Deconvolution
In this paper, we introduce a new nonlinear evolution partial differential equation for sparse deconvolution problems. The proposed PDE has the form of continuity equation that ar...
Yu Mao, Bin Dong, Stanley Osher
MMAS
2010
Springer
15 years 1 months ago
On the Stochastic Modeling of Rigid Body Systems with Application to Polymer Dynamics
The stochastic equations of motion for a system of interacting rigid bodies in a solvent are formulated and studied. Three-dimensional bodies of arbitrary shape, with arbitrary cou...
J. Walter, O. Gonzalez, J. H. Maddocks
MMAS
2010
Springer
15 years 1 months ago
Simplified Modelling of a Thermal Bath, with Application to a Fluid Vortex System
Based on the thermodynamic concept of a reservoir, we investigate a computational model for interaction with unresolved degrees of freedom (a thermal bath). We assume that a finite...
Svetlana Dubinkina, Jason Frank, Ben Leimkuhler
MMAS
2010
Springer
15 years 1 months ago
Global Energy Matching Method for Atomistic-to-Continuum Modeling of Self-Assembling Biopolymer Aggregates
This paper studies mathematical models of biopolymer supramolecular aggregates that are formed by the self-assembly of single monomers. We develop a new multiscale numerical appro...
Lei Zhang, Leonid Berlyand, Maxim V. Fedorov, Houm...
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