SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
On solving elliptic stochastic partial differential equations
14 references·16 citing·32 second hop
On solving elliptic stochastic partial differential equations (2002)On solving elliptic stochastic partial di…Stochastic Differential Equations—An Introduction With Applications (2006)Stochastic Differential Equat…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …Solution of stochastic partial differential equations using Galerkin finite element techniques (2001)Solution of stochastic partia…Ingredients for a general purpose stochastic finite elements implementation (1999)Ingredients for a general pur…Verification and Validation in Computational Science and Engineering (1998)Verification and Validation i…Numerical solution of spectral stochastic finite element systems (1996)Numerical solution of spectra…Numerical solution of SDE through computer experiments (1994)Numerical solution of SDE thr…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Stochastic Finite Element Expansion for Random Media (1989)Stochastic Finite Element Exp…Response Variability Of Stochastic Finite Element Systems (1988)Response Variability Of Stoch…Stochastic Differential Equations: An Introduction with Applications. (1987)Stochastic Differential Equat…Random field finite elements (1986)Random field finite elementsStochastic Finite Element Analysis of Simple Beams (1983)Stochastic Finite Element Ana…The stochastic finite-element method (1980)The stochastic finite-element…Global sensitivity analysis through polynomial chaos expansion of a basin-scale geochemical compaction model (2012)Global sensitivity analysis t…ERROR AND UNCERTAINTY QUANTIFICATION AND SENSITIVITY ANALYSIS IN MECHANICS COMPUTATIONAL MODELS (2011)ERROR AND UNCERTAINTY QUANTIF…Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations (2009)Recent Developments in Spectr…Stochastic finite elements: Computational approaches to stochastic partial differential equations (2008)Stochastic finite elements: C…Stochastic model reduction for chaos representations (2007)Stochastic model reduction fo…QUANTIFYING UNCERTAINTY: MODERN COMPUTATIONAL REPRESENTATION OF PROBABILITY AND APPLICATIONS (2007)QUANTIFYING UNCERTAINTY: MODE…On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data (2006)On the construction and analy…Long-term behavior of polynomial chaos in stochastic flow simulations (2006)Long-term behavior of polynom…Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators (2005)Non-Gaussian positive-definit…Hierarchical parallelisation for the solution of stochastic finite element equations (2005)Hierarchical parallelisation …Beyond Wiener–Askey Expansions: Handling Arbitrary PDFs (2005)Beyond Wiener–Askey Expansion…Uncertainty Quantification with Stochastic Finite Elements (2004)Uncertainty Quantification wi…Supersensitivity due to uncertain boundary conditions (2004)Supersensitivity due to uncer…Numerical Methods and Smolyak Quadrature for Nonlinear Stochastic Partial Differential Equations (2003)Numerical Methods and Smolyak…A Review of Recent Developments in the Numerical Solution of Stochastic Partial Differential Equations (Stochastic Finite Elements) (2003)A Review of Recent Developmen…A multigrid solver for two-dimensional stochastic diffusion equations (2003)A multigrid solver for two-di…Neumann Expansion for Stochastic Finite Element Analysis (1988)Polynomial Chaos in Stochastic Finite Elements (1990)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)ON STATIONARY PROCESSES IN THE PLANE (1954)Fractional Brownian Motions, Fractional Noises and Applications (1968)The stochastic finite element method in structural reliability (1987)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Maximum entropy approach for modeling random uncertainties in transient elastodynamics (2001)Exact and Invariant Second-Moment Code Format (1974)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Fast Numerical Methods for Stochastic Computations: A Review (2009)Probabilistic Theory of Structural Dynamics (1976)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Equivalent linearization and Monte Carlo simulation in stochastic dynamics (2003)Discrete-time approximations of stochastic delay equations: The Milstein scheme (2004)Construction of Equivalent Stochastic Differential Equation Models (2008)An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Survey of sampling-based methods for uncertainty and sensitivity analysis (2006)A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing (2011)A Nonparametric Model of Term Structure Dynamics and the Market Price of Interest Rate Risk (1997)The dynamics of stochastic volatility: evidence from underlying and options markets (2003)Liaisons dangereuses: Increasing connectivity, risk sharing, and systemic risk (2012)Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation (2004)An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)
this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 1987Stochastic Differential Equations: An Introduction with Applications.3,963 cited
  • 1998Verification and Validation in Computational Science and Engineering2,153 cited
  • 2006Stochastic Differential Equations—An Introduction With Applications1,648 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 1986Random field finite elements645 cited
  • 1980The stochastic finite-element method641 cited
  • 1989Stochastic Finite Element Expansion for Random Media512 cited
  • 1983Stochastic Finite Element Analysis of Simple Beams439 cited
  • 1994Numerical solution of SDE through computer experiments421 cited
  • 2001Solution of stochastic partial differential equations using Galerkin finite element techniques414 cited
  • 1999Ingredients for a general purpose stochastic finite elements implementation401 cited
  • 1996Numerical solution of spectral stochastic finite element systems294 cited
  • 1988Response Variability Of Stochastic Finite Element Systems236 cited

Cited by

  • 2007Stochastic model reduction for chaos representations

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

191 cited
  • 2006On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data191 cited
  • 2005Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators183 cited
  • 2009Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations181 cited
  • 2006Long-term behavior of polynomial chaos in stochastic flow simulations173 cited
  • 2005Beyond Wiener–Askey Expansions: Handling Arbitrary PDFs153 cited
  • 2008Stochastic finite elements: Computational approaches to stochastic partial differential equations98 cited
  • 2012Global sensitivity analysis through polynomial chaos expansion of a basin-scale geochemical compaction model89 cited
  • 2005Hierarchical parallelisation for the solution of stochastic finite element equations78 cited
  • 2007QUANTIFYING UNCERTAINTY: MODERN COMPUTATIONAL REPRESENTATION OF PROBABILITY AND APPLICATIONS77 cited
  • 2011ERROR AND UNCERTAINTY QUANTIFICATION AND SENSITIVITY ANALYSIS IN MECHANICS COMPUTATIONAL MODELS76 cited
  • 2003A multigrid solver for two-dimensional stochastic diffusion equations74 cited
  • 2003A Review of Recent Developments in the Numerical Solution of Stochastic Partial Differential Equations (Stochastic Finite Elements)70 cited
  • 2004Uncertainty Quantification with Stochastic Finite Elements70 cited
  • 2004Supersensitivity due to uncertain boundary conditions64 cited
  • 2003Numerical Methods and Smolyak Quadrature for Nonlinear Stochastic Partial Differential Equations61 cited