A structure-preserving method for the distribution of the first hitting time to a moving boundary for some Gaussian processes

DOI10.1016/j.camwa.2017.06.039zbMath1394.60033OpenAlexW2736008600MaRDI QIDQ1668539

Jorge Eduardo Macías-Díaz, José Villa Morales

Publication date: 29 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.06.039

zbMATH Keywords

implicit finite-difference schemestructure-preserving numerical methodstability and convergence analysesapplied stochastic processesadvection-diffusion partial differential equationsdistribution of first-hitting time

Mathematics Subject Classification ID

Gaussian processes (60G15) Sample path properties (60G17) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

Related Items (2)

On the first-passage times of certain Gaussian processes, and related asymptotics ⋮ A fractional PDE for first passage time of time-changed Brownian motion and its numerical solution

Cites Work

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• Numerical solution of a moving boundary problem of one-dimensional flow in semi-infinite long porous media with threshold pressure gradient
• On a multidimensional moving boundary problem governed by anomalous diffusion: analytical and numerical study
• A deterministic model for the distribution of the stopping time in a stochastic equation and its numerical solution
• The numerical solution of a generalized Burgers-Huxley equation through a conditionally bounded and symmetry-preserving method
• Two energy conserving numerical schemes for the sine-Gordon equation
• Numerical solution of the sine-Gordon equation
• First hitting time models for the generalized inverse Gaussian distribution
• Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme
• Two structure-preserving-doubling like algorithms for obtaining the positive definite solution to a class of nonlinear matrix equation
• Weighted curvature-preserving PDE image filtering method
• An implicit numerical method for the two-dimensional fractional percolation equation
• Introduction to stochastic integration.
• Boundary element method for a free boundary problem modeling three dimensional tumor growth
• Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences
• Two finite difference schemes for time fractional diffusion-wave equation
• On the first hitting time and the last exit time for a Brownian motion to/from a moving boundary
• The tangent approximation to one-sided Brownian exit densities
• Two characterizations of inverse-positive matrices: the Hawkins-Simon condition and the Le Chatelier-Braun principle
• Estimates of the Exit Probability for Two Correlated Brownian Motions
• Approximations of boundary crossing probabilities for a Brownian motion
• Finite-difference modeling à la Mickens of the distribution of the stopping time in a stochastic differential equation
• Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations
• Qualitative analysis of the moving boundary problem for a biofilm reactor model

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