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The tail of a positivity-preserving semigroup
Israel Journal of Mathematics, 1974With certain assumptions a representation theorem is proved for the elements of $$ \cap _{\sigma \in \Sigma } $$ σS, where Σ is an abelian semigroup of, endomorphisms of a real vector space, andS is a convex antisymmetric cone.
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Positivity-Preserving Numerical Schemes for Lubrication-Type Equations
SIAM Journal on Numerical Analysis, 1999Lubrication equations are fourth-order degenerate diffusion equations of the form \(h_t + \nabla \cdot ( {f( h)\nabla \Delta h}) = 0\), describing thin films or liquid layers driven by surface tension. Recent studies of singularities in which \(h \to 0\) at a point, describing rupture of fluid layer, show that such equations exhibit complex dynamics ...
L. Zhornitskaya, Andrea L. Bertozzi
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Positivity-preserving flux difference splitting schemes
Journal of Computational Physics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Positivity Preserving Forms have the Fatou Property
Potential Analysis, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Positivity preserving non-Markovian master equations
Physical Review E, 2000A general class of integrodifferential non-Markovian master equations is developed which is representative of the dynamics of small subsystems interacting with open reservoirs with memory. Conditions which guarantee positivity of the subsystem reduced density are established.
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Positivity preserving logarithmic Euler-Maruyama type scheme for stochastic differential equations
Communications in Nonlinear Science and Numerical Simulation, 2021Jingjun Zhao, Yaozhong Hu
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