Arbitrarily High-Order Maximum Bound Preserving Schemes with Cut-off Postprocessing for Allen–Cahn Equations
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DOI: 10.1007/s10915-021-01746-y
Abstract: We develop and analyze a class of maximum bound preserving schemes for approximately solving Allen–Cahn equations. We apply a k th-order single-step scheme in time (where the nonlinear term is linearized by multi-step extrapolation), and… read more here.
Keywords: order; arbitrarily high; preserving schemes; bound preserving ... See more keywords
Monomial ideals with arbitrarily high tiny powers in any number of variables
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DOI: 10.1080/00927872.2020.1772276
Abstract: Abstract Powers of (monomial) ideals is a subject that still calls attraction in various ways. Let be a monomial ideal and let G(I) denote the (unique) minimal monomial generating set of I. How small can… read more here.
Keywords: tiny powers; high tiny; ideals arbitrarily; powers number ... See more keywords
Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy
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DOI: 10.1186/s13661-019-01297-0
Abstract: In this paper, we consider the Cauchy problem for the sixth-order multidimensional generalized Boussinesq equation with double damping terms. By using the improved convexity method combined with Fourier transform, we show the finite time blow-up… read more here.
Keywords: sixth order; order multidimensional; generalized boussinesq; boussinesq equation ... See more keywords