Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen--Cahn Equation
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Publication:3452522
DOI10.1137/140993685zbMath1339.60096arXiv1408.4000OpenAlexW3102890982MaRDI QIDQ3452522
Publication date: 12 November 2015
Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.4000
Lyapunov equationfinite differencesnumerical continuationbifurcation diagramuncertainty quantificationcritical transitionsstochastic PDEiterative linear solverscubic-quintic Allen-Cahn equationspectral noise approximation
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Numerical bifurcation problems (65P30)
Related Items (max. 100)
Continuation of probability density functions using a generalized Lyapunov approach ⋮ Random attractors for stochastic partly dissipative systems ⋮ Bifurcations of front motion in passive and active Allen–Cahn-type equations ⋮ Combined error estimates for local fluctuations of SPDEs ⋮ Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications ⋮ Numerical continuation for fractional PDEs: sharp teeth and bloated snakes ⋮ Scaling laws and warning signs for bifurcations of SPDEs ⋮ Towards sample path estimates for fast–slow stochastic partial differential equations ⋮ Rigorous validation of stochastic transition paths
Uses Software
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