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However, many such applications in science and engineering can be efficiently modeled using the concept of positive systems and the nonlinear counterpart monotone systems.
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The secular dynamics of the latter could be efficiently modelled using the recent formalism of Hamers and Portegies Zwart (2016).
Crack propagation phenomenon is efficiently modeled using the boundary element method, which avoids re-meshing.
The initiation and propagation of fatigue cracks are efficiently modeled using cohesive zone elements.
Short loops are efficiently modeled using ab-initio methods (i.e. LEAP) due to the small number of degrees of freedom, which permits an adequate exploration of the conformational space, while long loops are more effectively predicted using template-based methods (i.e. LoopIng).
Based on this, the HRTF can be efficiently modeled by using poles that are independent of source directions, with zeros that are dependent on source directions.
This approach provides a formulation of a convex relaxation problem that can be efficiently modeled and solved using compressed sensing (CS) algorithms.
The proposed cloud brokering architecture has been modeled using mixed integer programming formulation and Benders decomposition algorithm to solve efficiently.
Granulation processes can be efficiently described using population balance models (PBMs) and discrete element modeling with efficient numerical techniques for accurate solution and the applicability of Quality by Design (QbD) in the process operation.
Instead we use it as a case study for integrative multicellular biological modeling and demonstrate that such models can be efficiently computed using new technological advances such as GPUs.
Switched systems can be efficiently used to model many practical systems which are inherently multi-model in the sense that several dynamical systems are required to describe their behavior.
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