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PDE solvers on Octree grids

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PDE solvers on Octree grids
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24
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Many problems in science and engineering demand that numerical methods be developed on adaptive grids in order to capture small scale details while minimizing computational resources. I will present recent (and less recent) results on the development and application of numerical methods on Octree Cartesian grids with an emphasis on free boundary problems.