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Cumulative distribution function solutions of advection–reaction equations with uncertain parameters
4 references·1 citing·21 second hop
Cumulative distribution function solutions of advection–reaction equations with uncertain parameters (2014)Cumulative distribution function solution…Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems (2010)Intrusive Galerkin methods wi…Multi-element probabilistic collocation method in high dimensions (2009)Multi-element probabilistic c…Galerkin Method for Wave Equations with Uncertain Coefficients (2008)Galerkin Method for Wave Equa…Numerical Methods for Differential Equations in Random Domains (2006)Numerical Methods for Differe…Method of Distributions for Uncertainty Quantification (2017)Method of Distributions for U…Stochastic Finite Elements: A Spectral Approach (1991)Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems (2010)An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations (2010)Enhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection (2015)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions (2012)A stochastic Galerkin method for the Euler equations with Roe variable transformation (2013)Adaptive stochastic Galerkin FEM (2013)Stochastic Differential Equations: An Introduction with Applications. (1987)Stochastic analysis of transport in tubes with rough walls (2006)Adaptive ANOVA decomposition of stochastic incompressible and compressible flows (2011)A robust and efficient stepwise regression method for building sparse polynomial chaos expansions (2016)On the Probability Densities of the Output of Some Random Systems (1961)CDF Solutions of Buckley--Leverett Equation with Uncertain Parameters (2013)Nonlocal PDF methods for Langevin equations with colored noise (2018)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Parametric uncertainty analysis of pulse wave propagation in a model of a human arterial network (2007)A stochastic collocation method for the second order wave equation with a discontinuous random speed (2012)Robust Uncertainty Propagation in Systems of Conservation Laws with the Entropy Closure Method (2013)
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References

  • 2009Multi-element probabilistic collocation method in high dimensions203 cited
  • 2006Numerical Methods for Differential Equations in Random Domains163 cited
  • 2010Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems127 cited
  • 2008Galerkin Method for Wave Equations with Uncertain Coefficients112 cited

Cited by

  • 2017Method of Distributions for Uncertainty Quantification19 cited

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