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It is shown how these stable algorithms can be applied in higher spatial dimensions and how they can be extended to problems defined on unstructured meshes.
Although we only tested 1D1V examples, the proposed method has the potential to be extended to problems with high spatial dimensions and complicated geometry.
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The proposed synthesis technology is extended to problems related to environmental concern and the applications include examples of solvent design.
Chemical Engineering Science 61, 6732 6752] for solution of population balances (PBs), is extended to problems with growth and primary nucleation.
The spectral element method is extended to problems involving arbitrary non-uniform waveguides by introducing an approximate tapered element.
In the latter case, selective assembly is extended to problems where the performance requirement is not the clearance between two parts, but a prescribed dynamic behaviour.
The biharmonic boundary integral solution of two-dimensional creeping flow of an incompressible Newtonian fluid is extended to problems with free surfaces.
The two problems can be extended to the problems in any dimensional space.
It is remarked that the eigenvalue solution is restricted to linear problems, whereas the proposed method could be extended to nonlinear problems.
Use of separate OpenCL kernels for problem specific portions of the code ensure that the approach can be extended to different problems.
The present study can be extended to similar problems.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com