Evolving monotone difference operators on general space-time meshes

DOI10.1215/S0012-7094-98-09122-0zbMath0940.65089OpenAlexW1537670484MaRDI QIDQ1974789

Neil S. Trudinger, Hung-Ju Kuo

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-98-09122-0

zbMATH Keywords

parabolic partial differential operatorsKrylov maximum principlemonotone difference operators

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for second-order parabolic equations (35K15)

Related Items (11)

Combinatorics meets potential theory ⋮ Quenched invariance principle for random walk in time-dependent balanced random environment ⋮ A parabolic Harnack principle for balanced difference equations in random environments ⋮ On the rate of convergence of the finite-difference approximations for parabolic Bellman equations with constant coefficients ⋮ Trivariate spline collocation methods for numerical solution to 3D Monge-Ampère equation ⋮ A discrete isoperimetric inequality on lattices ⋮ On the maximum principle for linear parabolic equations ⋮ Gaussian estimates for spatially inhomogeneous random walks on \(\mathbb Z^d\) ⋮ Harnack inequalities for supersolutions of fully nonlinear elliptic difference and differential equations ⋮ Upper estimates for inhomogeneous random walks confined to the positive orthant ⋮ Quenched local central limit theorem for random walks in a time-dependent balanced random environment

Cites Work

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• Linear Elliptic Difference Inequalities with Random Coefficients
• On an Aleksandrov-Bakel'Man Type Maximum Principle for Second-Order Parabolic Equations
• A vector identity for the Dirichlet tessellation
• Discrete Methods for Fully Nonlinear Elliptic Equations
• On the discrete maximum principle for parabolic difference operators

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