Exit times from time-dependent domains are continuous under local Skorokhod J1 path convergence and uniform barrier convergence at non-tangency points, yielding weak convergence of exit times and M1 convergence of exit-time profiles without independence assumptions.
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A new sub-Riemannian snake model on the projective line bundle uses a symmetric cusp-free pseudo-distance with triangle inequality properties and connected-component costs to enable efficient robust segmentation of overlapping objects in SEM images.
Presents an optimal transport framework for simulating particle systems with arbitrary cell shapes and volumes that automatically handles exclusion constraints.
KFBI-ADI schemes achieve second-order accuracy and unconditional stability for 3D heat equations with irregular boundaries and interfaces, verified numerically and applied to Stefan problems with level sets.
An isogeometric topology optimization approach using topological derivatives and level-set methods in an immersed framework enables seamless geometry updates without remeshing and benefits from higher-order basis functions for solution accuracy.
Review of fuzzy dark matter simulation techniques including governing equations, wave- and fluid-based algorithms, test problems, and public initial condition files for code benchmarking.
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Exit times from time-dependent random domains: continuity, weak convergence, and exit-time profiles Draft -currently under review at Stochastic Processes and their Applications
Exit times from time-dependent domains are continuous under local Skorokhod J1 path convergence and uniform barrier convergence at non-tangency points, yielding weak convergence of exit times and M1 convergence of exit-time profiles without independence assumptions.
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Sub-Riemannian Snakes on the Projective Line Bundle with Applications to Segmentation of SEM Images
A new sub-Riemannian snake model on the projective line bundle uses a symmetric cusp-free pseudo-distance with triangle inequality properties and connected-component costs to enable efficient robust segmentation of overlapping objects in SEM images.
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Multicellular simulations with shape and volume constraints using optimal transport
Presents an optimal transport framework for simulating particle systems with arbitrary cell shapes and volumes that automatically handles exclusion constraints.
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ADI schemes for heat equations with irregular boundaries and interfaces in 3D with applications
KFBI-ADI schemes achieve second-order accuracy and unconditional stability for 3D heat equations with irregular boundaries and interfaces, verified numerically and applied to Stefan problems with level sets.
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Isogeometric Topology Optimization Based on Topological Derivatives
An isogeometric topology optimization approach using topological derivatives and level-set methods in an immersed framework enables seamless geometry updates without remeshing and benefits from higher-order basis functions for solution accuracy.
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Fuzzy dark matter simulations
Review of fuzzy dark matter simulation techniques including governing equations, wave- and fluid-based algorithms, test problems, and public initial condition files for code benchmarking.