A variable-\(\theta\) method for parabolic problems of nonsmooth data

DOI10.1016/j.camwa.2019.08.006zbMath1450.65105OpenAlexW2969482691MaRDI QIDQ2004568

Seongjai Kim, Philku Lee

Publication date: 7 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.08.006

zbMATH Keywords

nonsmooth datafree-boundary problemparabolic obstacle problemtime-stepping procedurevariable-\(\theta\) method

Mathematics Subject Classification ID

Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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Cites Work

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• Accurate and efficient numerical solutions for elliptic obstacle problems
• \(p\)-cyclic matrices: A generalization of the Young-Frankel successive overrelaxation scheme
• Implicit Taylor methods for parabolic problems with nonsmooth data and applications to optimal heat control
• Smoothing of Crank-Nicolson scheme for the two-dimensional diffusion with an integral condition
• An algorithm for solving the double obstacle problems
• Smoothing schemes for reaction-diffusion systems with nonsmooth data
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• An efficient primal-dual method for the obstacle problem
• An essentially non-oscillatory Crank-Nicolson procedure for the simulation of convection-dominated flows
• An algorithm for solving the obstacle problems
• A three-point time discretization technique for parabolic partial differential equations
• The Extrapolation of First Order Methods for Parabolic Partial Differential Equations, II
• Kombinationswirbelfelder in realen Strömungen
• High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
• The Extrapolation of First Order Methods for Parabolic Partial Differential Equations. I
• Smoothing with positivity-preserving Padé schemes for parabolic problems with nonsmooth data
• Numerical solution for a parabolic obstacle problem with nonsmooth initial data
• High order smoothing schemes for inhomogeneous parabolic problems with applications in option pricing
• Impulsive End Condition for Diffusion Equation

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