Enforcing positivity in intrusive PC-UQ methods for reactive ODE systems (Q349209)

scientific article; zbMATH DE number 6660272

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English	Enforcing positivity in intrusive PC-UQ methods for reactive ODE systems	scientific article; zbMATH DE number 6660272

Statements

instance of

scholarly article

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title

Enforcing positivity in intrusive PC-UQ methods for reactive ODE systems (English)

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Journal of Computational Physics

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publication date

5 December 2016

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full work available at URL

https://www.osti.gov/biblio/1106517

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zbMATH Keywords

uncertainty quantification

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polynomial chaos

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intrusive

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ordinary differential equations

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stability

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describes a project that uses

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Making best use of model evaluations to compute sensitivity indices

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Sensitivity Analysis in Practice

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Q3997987

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Gaussian Hilbert Spaces

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A stochastic projection method for fluid flow. I: Basic formulation

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The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations

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Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes

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Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics

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Spectral Methods for Uncertainty Quantification

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Probabilistic characterization of transport in heterogeneous media

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A stochastic projection method for fluid flow. II: Random process

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A multigrid solver for two-dimensional stochastic diffusion equations.

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A new stochastic approach to transient heat conduction modeling with uncertainty.

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Modeling uncertainty in flow simulations via generalized polynomial chaos.

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A Two-Scale Nonperturbative Approach to Uncertainty Analysis of Diffusion in Random Composites

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Variational multiscale stabilized FEM formulations for transport equations: Stochastic advection-diffusion and incompressible stochastic Navier-Stokes equations

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Using stochastic analysis to capture unstable equilibrium in natural convection

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A stochastic variational multiscale method for diffusion in heterogeneous random media

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Long-term behavior of polynomial chaos in stochastic flow simulations

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Stochastic analysis of transport in tubes with rough walls

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Stochastic approaches to uncertainty quantification in CFD simulations

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Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations

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A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

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Sparse grid collocation schemes for stochastic natural convection problems

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A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data

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An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data

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An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations

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The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications

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Multi-element probabilistic collocation method in high dimensions

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High-Order Collocation Methods for Differential Equations with Random Inputs

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A Stochastic Multiscale Coupling Scheme to Account for Sampling Noise in Atomistic-to-Continuum Simulations

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A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations

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Generalized spectral decomposition method for solving stochastic finite element equations: invariant subspace problem and dedicated algorithms

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A least-squares approximation of partial differential equations with high-dimensional random inputs

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A non-adapted sparse approximation of PDEs with stochastic inputs

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Finite elements for elliptic problems with stochastic coefficients

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Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients

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Uncertainty propagation using Wiener-Haar expansions

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Multi-resolution analysis of Wiener-type uncertainty propagation schemes

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Multi‐Resolution‐Analysis Scheme for Uncertainty Quantification in Chemical Systems

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An adaptive multi-element generalized polynomial chaos method for stochastic differential equations

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Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures

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Uncertainty Quantification given Discontinuous Model Response and a Limited Number of Model Runs

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Uncertainty quantification of limit-cycle oscillations

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Wiener chaos expansions and numerical solutions of randomly forced equations of fluid mechanics

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An alternative unsteady adaptive stochastic finite element formulation based on interpolation at constant phase

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Effect of randomness on multi-frequency aeroelastic responses resolved by unsteady adaptive stochastic finite elements

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Multiscale stochastic preconditioners in non-intrusive spectral projection

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Time-dependent generalized polynomial chaos

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Stochastic Galerkin techniques for random ordinary differential equations

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Eigenvalues of the Jacobian of a Galerkin-Projected Uncertain ODE System

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On the convergence of generalized polynomial chaos expansions

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Uncertainty quantification in chemical systems

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Identifiers

zbMATH Open document ID

1349.65033

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Mathematics Subject Classification ID

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10.1016/J.JCP.2014.03.061

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Sitelinks

Mathematics(1 entry)

mardi Publication:349209