ADI schemes for higher-order nonlinear diffusion equations.
type: Item
instance of: scholarly article
title: ADI schemes for higher-order nonlinear diffusion equations.
zbMATH Open document ID: 1061.76051
DOI: 10.1016/S0168-9274(02)00194-0
published in: Applied Numerical Mathematics
publication date: 2003-05-22T00:00:00Z
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76A20
Mathematics Subject Classification ID: 76R50
zbMATH DE Number: 1915298
zbMATH Keywords: approximate factorization
zbMATH Keywords: fourth-order thin film equation
author: Thomas P. Witelski
author: M. Bowen
describes a project that uses: KELLEY
MaRDI profile type: Publication
cites work: Q5558293
cites work: Eliminating grid-orientation errors in alternating-direction implicit schemes
cites work: Finite element approximation of a fourth order nonlinear degenerate parabolic equation
cites work: An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
cites work: Alternating Direction Implicit Methods for Parabolic Equations with a Mixed Derivative
cites work: Long Waves on Liquid Films
cites work: Higher order nonlinear degenerate parabolic equations
cites work: Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff
cites work: Q4214119
cites work: Dewetting films: Bifurcations and concentrations
cites work: Long-wave instabilities and saturation in thin film equations
cites work: Numerical solution of vibration problems in two space variables
cites work: An Alternating Direction Method for Solving the Biharmonic Equation
cites work: On an Alternating Direction Method for Solving the Plate Problem with Mixed Boundary Conditions
cites work: An alternating-direction implicit scheme for parabolic equations with mixed derivatives
cites work: Inexact Newton Methods
cites work: Alternating Direction Methods for Nonlinear Time-Dependent Problems
cites work: On Newton-like methods
cites work: Q4091004
cites work: A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
cites work: On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
cites work: Analysis approximate factorization in iteration methods
cites work: Numerical Studies of the Cahn-Hilliard Equation for Phase Separation
cites work: Fingering phenomena for driven coating films
cites work: Some Stable Difference Approximations to a Fourth-Order Parabolic Partial Differential Equation
cites work: Source-type solutions to thin-film equations in higher dimensions
cites work: Q3474858
cites work: Nonnegativity preserving convergent schemes for the thin film equation
cites work: Q3994335
cites work: A note on stability of the Douglas splitting method
cites work: Stability and Convergence of the Peaceman-Rachford ADI Method for Initial-Boundary Value Problems
cites work: Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces
cites work: Q4841246
cites work: Termination of Newton/Chord Iterations and the Method of Lines
cites work: Emerging areas of mathematical modelling
cites work: Two generalizations of the thin film equation
cites work: Moving boundary problems and non-uniqueness for the thin film equation
cites work: Q3126807
cites work: Alternating direction methods for parabolic equations in two space dimensions with a mixed derivative
cites work: An alternating direction implicit scheme for parabolic equations with mixed derivative and convective terms
cites work: Q3208026
cites work: High accuracy difference schemes for the system of two space nonlinear parabolic differential equations with mixed derivatives and variable coefficients
cites work: Q4315885
cites work: Thin Films with High Surface Tension
cites work: Nonlinear dynamics of three-dimensional long-wave Marangoni instability in thin liquid films
cites work: Q3661107
cites work: Q5289008
cites work: Q4386703
cites work: High-Order Nonlinear Diffusion
cites work: Q3993078
cites work: Approximate factorization for time-dependent partial differential equations
cites work: Dynamics of three-dimensional thin film rupture
cites work: Positivity-Preserving Numerical Schemes for Lubrication-Type Equations
full work available at URL: s0168-9274(02)00194-0
OpenAlex ID: W2001662283
description: scientific article; zbMATH DE number 1915298