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Showing 1 to 4 of 4 for “"Lagrange method"”.
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Free-Lagrange simulations of single cavitation bubble collapse.
A Free-Lagrange method has been applied to simulate the collapse of single cavitation bubbles near various boundary types. The simulations resemble an underwater explosion or laser- or spark-generated bubble, where the bubble evolution is driven by a high initial pressure difference between the …
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The mathematical modelling and numerical solution of options pricing problems
… of financial options pricing problems. The methods are based on finite difference discretisation coupled with optimal solvers of the resulting discrete systems. Regular Cartesian meshes have been combined with orthogonal co-ordinate transformations chosen for numerical accuracy rather than …
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An investigation of Lagrangian Riemann methods incorporating material strength
The application of Riemann Methods formulated in the Lagrangian reference frame to the numerical simulation of non-linear events in solid materials is investigated. Here, solids are characterised by their ability to withstand shear distortion since they possess material strength. In particular, …
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Methodologies for electromagnetic field modeling for computer aided analysis of multi-domain physical interactions
Several methodologies are presented in this work to facilitate the modeling of electromagnetic fields in the context of multi-domain physical interactions. Among the challenges for computer aided analysis of electromagnetic problems in interaction with other physical phenomena are the largely …