A conservative algorithm for parabolic problems in domains with moving boundaries
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Publication:349165
DOI10.1016/j.jcp.2014.03.014zbMath1349.65327OpenAlexW1983906817WikidataQ30584588 ScholiaQ30584588MaRDI QIDQ349165
Igor L. Novak, Boris M. Slepchenko
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: http://europepmc.org/articles/pmc4107334
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Biophysics (92C05)
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Cites Work
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- Mathematics of cell motility: Have we got its number?
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Volume of fluid (VOF) method for the dynamics of free boundaries
- Simulation of interfacial instabilites during solidification. I: Conduction and capillarity effects
- A Cartesian grid embedded boundary method for Poisson's equation on irregular domains
- Numerical approach to fast reactions in reaction-diffusion systems: Application to buffered calcium waves in bistable models
- A simple 1-D physical model for the crawling nematode sperm cell
- Diffusion on a curved surface coupled to diffusion in the volume: application to cell biology
- A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries
- A simple package for front tracking
- A Cartesian grid embedded boundary method for hyperbolic conservation laws
- The moving boundary node method: A level set-based, finite volume algorithm with applications to cell motility
- Computational Methods for Fluid Dynamics
- A Second-Order Accurate Conservative Front-Tracking Method in One Dimension
- The Bifurcation of Tracked Scalar Waves
- Conservative Front Tracking with Improved Accuracy
- Multiscale Two-Dimensional Modeling of a Motile Simple-Shaped Cell
- A sharp interface Cartesian grid method for simulating flows with complex moving boundaries
