On the linear advection equation subject to random velocity fields
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DOI: 10.1016/j.matcom.2011.10.008
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References listed on IDEAS
- Cunha, M. Cristina C. & Dorini, Fábio A., 2009. "Statistical moments of the solution of the random Burgers–Riemann problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(5), pages 1440-1451.
- Cortés, J.C. & Jódar, L. & Villafuerte, L., 2009. "Random linear-quadratic mathematical models: Computing explicit solutions and applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(7), pages 2076-2090.
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Cited by:
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- Calatayud, J. & Cortés, J.-C. & Jornet, M., 2018. "The damped pendulum random differential equation: A comprehensive stochastic analysis via the computation of the probability density function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 261-279.
- Calatayud, Julia & Carlos Cortés, Juan & Jornet, Marc, 2020. "Computing the density function of complex models with randomness by using polynomial expansions and the RVT technique. Application to the SIR epidemic model," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
- Shalimova Irina & Sabelfeld Karl K., 2019. "A random walk on small spheres method for solving transient anisotropic diffusion problems," Monte Carlo Methods and Applications, De Gruyter, vol. 25(3), pages 271-282, September.
- Calatayud, J. & Cortés, J.-C. & Dorini, F.A. & Jornet, M., 2020. "Extending the study on the linear advection equation subject to stochastic velocity field and initial condition," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 172(C), pages 159-174.
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Keywords
35R60; 60H15; Advection; Random; Velocity; Gaussian processes;All these keywords.
JEL classification:
Statistics
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