Stochastic finite elements: a spectral approach

Spectral Polynomial Chaos Solutions of the Stochastic Advection Equation

Journal of Scientific Computing

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

Journal of Computational Physics

Archimedes: a new model for simulating health care systems-the mathematical formulation

Journal of Biomedical Informatics

Modeling uncertainty in flow simulations via generalized polynomial chaos

Journal of Computational Physics

Structural damage: simulation and assessment

Computational structures technology

An efficient, high-order perturbation approach for flow in random porous media via Karhunen-Loève and polynomial expansions

Journal of Computational Physics

Uncertainty propagation using Wiener-Haar expansions

Journal of Computational Physics

Multi-resolution analysis of wiener-type uncertainty propagation schemes

Journal of Computational Physics

Estimation in generalized linear models for functional data via penalized likelihood

Journal of Multivariate Analysis

Stochastic Power Grid Analysis Considering Process Variations

Proceedings of the conference on Design, Automation and Test in Europe - Volume 2

A non-parametric approach for dynamic range estimation of nonlinear systems

Proceedings of the 42nd annual Design Automation Conference

An Equation-Free, Multiscale Approach to Uncertainty Quantification

Computing in Science and Engineering

Dynamic range estimation for nonlinear systems

Proceedings of the 2004 IEEE/ACM International conference on Computer-aided design

Stochastic analysis of interconnect performance in the presence of process variations

Proceedings of the 2004 IEEE/ACM International conference on Computer-aided design

A stochastic integral equation method for modeling the rough surface effect on interconnect capacitance

Proceedings of the 2004 IEEE/ACM International conference on Computer-aided design

Variational Interconnect Delay Metrics for Statistical Timing Analysis

ISQED '06 Proceedings of the 7th International Symposium on Quality Electronic Design

Computational stochastic homogenization of random media elliptic problems using Fourier Galerkin method

Finite Elements in Analysis and Design - Special issue: The seventeenth annual Robert J. Melosh competition

Beyond Wiener---Askey Expansions: Handling Arbitrary PDFs

Journal of Scientific Computing

Stochastic variational analysis of large power grids considering intra-die correlations

Proceedings of the 43rd annual Design Automation Conference

Modeling of intra-die process variations for accurate analysis and optimization of nano-scale circuits

Proceedings of the 43rd annual Design Automation Conference

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

Journal of Computational Physics

On the construction and analysis of stochastic models: characterization and propagation of the errors associated with limited data

Journal of Computational Physics - Special issue: Uncertainty quantification in simulation science

Covariance kernel representations of multidimensional second-order stochastic processes

Journal of Computational Physics - Special issue: Uncertainty quantification in simulation science

Karhunen-Loève approximation of random fields by generalized fast multipole methods

Journal of Computational Physics - Special issue: Uncertainty quantification in simulation science

Uncertainty quantification of limit-cycle oscillations

Journal of Computational Physics - Special issue: Uncertainty quantification in simulation science

Stochastic analysis of transport in tubes with rough walls

Journal of Computational Physics - Special issue: Uncertainty quantification in simulation science

Predicting shock dynamics in the presence of uncertainties

Journal of Computational Physics - Special issue: Uncertainty quantification in simulation science

Mesoscopic simulation of Ostwald ripening

Journal of Computational Physics

Monte Carlo simulation-compatible stochastic field for application to expansion-based stochastic finite element method

Computers and Structures

On the treatment of uncertainties in structural mechanics and analysis

Computers and Structures

A non-intrusive stochastic Galerkin approach for modeling uncertainty propagation in deformation processes

Computers and Structures

On using deterministic FEA software to solve problems in stochastic structural mechanics

Computers and Structures

A stochastic variational multiscale method for diffusion in heterogeneous random media

Journal of Computational Physics

Generalized perturbation-based stochastic finite element method in elastostatics

Computers and Structures

Numerical study of uncertainty quantification techniques for implicit stiff systems

ACM-SE 45 Proceedings of the 45th annual southeast regional conference

A framework for statistical timing analysis using non-linear delay and slew models

Proceedings of the 2006 IEEE/ACM international conference on Computer-aided design

A sharp error estimate for the fast Gauss transform

Journal of Computational Physics

Fourier mode analysis of multigrid methods for partial differential equations with random coefficients

Journal of Computational Physics

Modeling physical uncertainties in dynamic stall induced fluid-structure interaction of turbine blades using arbitrary polynomial chaos

Computers and Structures

Robustness of mechanical systems against uncertainties

Finite Elements in Analysis and Design

Stochastic spectral methods for efficient Bayesian solution of inverse problems

Journal of Computational Physics

Stochastic Computational Fluid Mechanics

Computing in Science and Engineering

Statistical model order reduction for interconnect circuits considering spatial correlations

Proceedings of the conference on Design, automation and test in Europe

A sparse grid based spectral stochastic collocation method for variations-aware capacitance extraction of interconnects under nanometer process technology

Proceedings of the conference on Design, automation and test in Europe

Sparse grid collocation schemes for stochastic natural convection problems

Journal of Computational Physics

Parametric uncertainty analysis of pulse wave propagation in a model of a human arterial network

Journal of Computational Physics

An analysis of polynomial chaos approximations for modeling single-fluid-phase flow in porous medium systems

Journal of Computational Physics

Analysis of Power Supply Noise in the Presence of Process Variations

IEEE Design & Test

Stochastic extended Krylov subspace method for variational analysis of on-chip power grid networks

Proceedings of the 2007 IEEE/ACM international conference on Computer-aided design

Brief paper: Gradient dynamic optimization with Legendre chaos

Automatica (Journal of IFAC)

Inversion of Robin coefficient by a spectral stochastic finite element approach

Journal of Computational Physics

A seamless approach towards stochastic modeling: Sparse grid collocation and data driven input models

Finite Elements in Analysis and Design

A scalable framework for the solution of stochastic inverse problems using a sparse grid collocation approach

Journal of Computational Physics

Probabilistic risk assessment for the construction phases of a bridge construction based on finite element analysis

Finite Elements in Analysis and Design

Variational capacitance modeling using orthogonal polynomial method

Proceedings of the 18th ACM Great Lakes symposium on VLSI

Statistical waveform and current source based standard cell models for accurate timing analysis

Proceedings of the 45th annual Design Automation Conference

Stochastic integral equation solver for efficient variation-aware interconnect extraction

Proceedings of the 45th annual Design Automation Conference

Stochastic formulation of SPICE-type electronic circuit simulation with polynomial chaos

ACM Transactions on Modeling and Computer Simulation (TOMACS)

A stabilized stochastic finite element second-order projection method for modeling natural convection in random porous media

Journal of Computational Physics

Current source based standard cell model for accurate signal integrity and timing analysis

Proceedings of the conference on Design, automation and test in Europe

An efficient method for chip-level statistical capacitance extraction considering process variations with spatial correlation

Proceedings of the conference on Design, automation and test in Europe

Exploiting correlation kernels for efficient handling of intra-die spatial correlation, with application to statistical timing

Proceedings of the conference on Design, automation and test in Europe

Building Blocks for Computer Vision with Stochastic Partial Differential Equations

International Journal of Computer Vision

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

Journal of Computational Physics

Uncertainty quantification using polynomial chaos expansion with points of monomial cubature rules

Computers and Structures

An unsteady adaptive stochastic finite elements formulation for rigid-body fluid-structure interaction

Computers and Structures

Generalized spectral decomposition for stochastic nonlinear problems

Journal of Computational Physics

Efficient stochastic Galerkin methods for random diffusion equations

Journal of Computational Physics

A stochastic multiscale framework for modeling flow through random heterogeneous porous media

Journal of Computational Physics

Uncertainty propagation in dynamical systems

Automatica (Journal of IFAC)

Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems

Journal of Computational Physics

A mode-based meta-model for the frequency response functions of uncertain structural systems

Computers and Structures

Discontinuity detection in multivariate space for stochastic simulations

Journal of Computational Physics

Uncertainty quantification for systems of conservation laws

Journal of Computational Physics

Stochastic thermal simulation considering spatial correlated within-die process variations

Proceedings of the 2009 Asia and South Pacific Design Automation Conference

Statistical modeling and analysis of chip-level leakage power by spectral stochastic method

Proceedings of the 2009 Asia and South Pacific Design Automation Conference

An introduction to the perturbation-based stochastic finite volume method for plane heat conduction problems

ICCOMP'08 Proceedings of the 12th WSEAS international conference on Computers

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

Journal of Computational Physics

Uncertainty apportionment for air quality forecast models

Proceedings of the 2009 ACM symposium on Applied Computing

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

Journal of Computational Physics

Review: Validation of stochastic linear structural dynamics models

Computers and Structures

Scalable uncertainty and reliability analysis by integration of advanced Monte Carlo simulation and generic finite element solvers

Computers and Structures

A generalized polynomial chaos based ensemble Kalman filter with high accuracy

Journal of Computational Physics

Efficient uncertainty quantification with the polynomial chaos method for stiff systems

Mathematics and Computers in Simulation

Polynomial chaos for multirate partial differential algebraic equations with random parameters

Applied Numerical Mathematics

Padé-Legendre approximants for uncertainty analysis with discontinuous response surfaces

Journal of Computational Physics

A domain adaptive stochastic collocation approach for analysis of MEMS under uncertainties

Journal of Computational Physics

Evolution of Probability Distribution in Time for Solutions of Hyperbolic Equations

Journal of Scientific Computing

Effect of randomness on multi-frequency aeroelastic responses resolved by Unsteady Adaptive Stochastic Finite Elements

Journal of Computational Physics

Numerical analysis of the Burgers' equation in the presence of uncertainty

Journal of Computational Physics

A Green-function-based multiscale method for uncertainty quantification of finite body random heterogeneous materials

Computers and Structures

Variational capacitance extraction of on-chip interconnects based on continuous surface model

Proceedings of the 46th Annual Design Automation Conference

Polynomial chaos representation of spatio-temporal random fields from experimental measurements

Journal of Computational Physics

Assessment of a stochastic interpolation based parameter sampling scheme for efficient uncertainty analyses of hydrologic models

Computers & Geosciences

Uncertain linear structural systems in dynamics: Efficient stochastic reliability assessment

Computers and Structures

Statistical modeling and analysis of chip-level leakage power by spectral stochastic method

Integration, the VLSI Journal

Linear quadratic regulation of systems with stochastic parameter uncertainties

Automatica (Journal of IFAC)

Hierarchical parallelisation for the solution of stochastic finite element equations

Computers and Structures

Design and sensitivity analysis of dynamical systems subjected to stochastic loading

Computers and Structures

Non-stationary response of large, non-linear finite element systems under stochastic loading

Computers and Structures

Multi-element probabilistic collocation method in high dimensions

Journal of Computational Physics

Computational stochastic homogenization of random media elliptic problems using Fourier Galerkin method

Finite Elements in Analysis and Design - Special issue: The seventeenth annual Robert J. Melosh competition

Analog automatic test pattern generation for quasi-static structural test

IEEE Transactions on Very Large Scale Integration (VLSI) Systems

A multi-element generalized polynomial chaos approach to analysis of mobile robot dynamics under uncertainty

IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems

Stochastic mobility-based path planning in uncertain environments

IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems

Stochastic seismic response analysis of structures exhibiting high nonlinearity

Computers and Structures

Identification of Bayesian posteriors for coefficients of chaos expansions

Journal of Computational Physics

Efficient component-wise and solver-based intrusive SFEM analysis of complex structures

Finite Elements in Analysis and Design

An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations

Journal of Computational Physics

A finite element method for elliptic problems with stochastic input data

Applied Numerical Mathematics

Performance evaluation of generalized polynomial chaos

ICCS'03 Proceedings of the 2003 international conference on Computational science

Some notes on numerical convergence of the stochastic perturbation method

ICCS'03 Proceedings of the 1st international conference on Computational science: PartI

Numerical approach for quantification of epistemic uncertainty

Journal of Computational Physics

A method for stochastic constrained optimization using derivative-free surrogate pattern search and collocation

Journal of Computational Physics

A framework for designing policies for networked systems with uncertainty

Decision Support Systems

Using polynomial chaos to compute the influence of multiple random surfers in the PageRank model

WAW'07 Proceedings of the 5th international conference on Algorithms and models for the web-graph

A linear statistical analysis for full-chip leakage power with spatial correlation

Proceedings of the 20th symposium on Great lakes symposium on VLSI

Uncertainty propagation using polynomial chaos and centre manifold theories

ISPRA'10 Proceedings of the 9th WSEAS international conference on Signal processing, robotics and automation

Stochastic finite difference lattice Boltzmann method for steady incompressible viscous flows

Journal of Computational Physics

Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems

Journal of Computational Physics

A linear algorithm for full-chip statistical leakage power analysis considering weak spatial correlation

Proceedings of the 47th Design Automation Conference

Stochastic dominant singular vectors method for variation-aware extraction

Proceedings of the 47th Design Automation Conference

Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids

Journal of Computational Physics

Robust analysis of uncertain dynamic systems: combination of the centre manifold and polynomial chaos theories

WSEAS TRANSACTIONS on SYSTEMS

A reduced-order random matrix approach for stochastic structural dynamics

Computers and Structures

Uncertainty propagation in puff-based dispersion models using polynomial chaos

Environmental Modelling & Software

Short note: Note on coefficient matrices from stochastic Galerkin methods for random diffusion equations

Journal of Computational Physics

Time-dependent generalized polynomial chaos

Journal of Computational Physics

Evaluation of failure probability via surrogate models

Journal of Computational Physics

Variation-aware interconnect extraction using statistical moment preserving model order reduction

Proceedings of the Conference on Design, Automation and Test in Europe

Collocation least-squares polynomial chaos method

SpringSim '10 Proceedings of the 2010 Spring Simulation Multiconference

Modelling of spatial variations in vibration analysis with application to an automotive windshield

Finite Elements in Analysis and Design

Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty

Applied Numerical Mathematics

Ambrosio-tortorelli segmentation of stochastic images

ECCV'10 Proceedings of the 11th European conference on Computer vision: Part V

Efficient solution for Galerkin-based polynomial chaos expansion systems

Advances in Engineering Software

Learning of highly-filtered data manifold using spectral methods

LION'10 Proceedings of the 4th international conference on Learning and intelligent optimization

Original article: On the deterministic solution of multidimensional parametric models using the Proper Generalized Decomposition

Mathematics and Computers in Simulation

Adaptive sparse polynomial chaos expansion based on least angle regression

Journal of Computational Physics

Chaos-Galerkin solution of stochastic Timoshenko bending problems

Computers and Structures

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

SIAM Review

Spectral Representation and Reduced Order Modeling of the Dynamics of Stochastic Reaction Networks via Adaptive Data Partitioning

SIAM Journal on Scientific Computing

A Kronecker Product Preconditioner for Stochastic Galerkin Finite Element Discretizations

SIAM Journal on Scientific Computing

Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems

Structural and Multidisciplinary Optimization

Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications

Journal of Computational Physics

Characterization of discontinuities in high-dimensional stochastic problems on adaptive sparse grids

Journal of Computational Physics

Stochastic finite element based on stochastic linearization for stochastic nonlinear ordinary differential equations with random coefficients

NOLASC'06 Proceedings of the 5th WSEAS international conference on Non-linear analysis, non-linear systems and chaos

Experimental identification of an uncertain computational dynamical model representing a family of structures

Computers and Structures

Stochastic data assimilation of the random shallow water model loads with uncertain experimental measurements

Computational Mechanics

Reliability-based optimization of trusses with random parameters under dynamic loads

Computational Mechanics

Weighted stochastic response surface method considering sample weights

Structural and Multidisciplinary Optimization

A new level-set based approach to shape and topology optimization under geometric uncertainty

Structural and Multidisciplinary Optimization

Kernel principal component analysis for stochastic input model generation

Journal of Computational Physics

Robustness-based design optimization under data uncertainty

Structural and Multidisciplinary Optimization

HiFlow3: a flexible and hardware-aware parallel finite element package

Proceedings of the 9th Workshop on Parallel/High-Performance Object-Oriented Scientific Computing

Brief paper: Recursive maximum likelihood parameter estimation for state space systems using polynomial chaos theory

Automatica (Journal of IFAC)

Stochastic Galerkin methods for elliptic interface problems with random input

Journal of Computational and Applied Mathematics

Spectral Methods for Parameterized Matrix Equations

SIAM Journal on Matrix Analysis and Applications

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

SIAM Journal on Scientific Computing

A Stochastic Mortar Mixed Finite Element Method for Flow in Porous Media with Multiple Rock Types

SIAM Journal on Scientific Computing

Error Estimates of Stochastic Optimal Neumann Boundary Control Problems

SIAM Journal on Numerical Analysis

A Factorization of the Spectral Galerkin System for Parameterized Matrix Equations: Derivation and Applications

SIAM Journal on Scientific Computing

A comparative study of probability estimation methods for reliability analysis

Structural and Multidisciplinary Optimization

General purpose software for efficient uncertainty management of large finite element models

Finite Elements in Analysis and Design

Data-free inference of the joint distribution of uncertain model parameters

Journal of Computational Physics

Domain decomposition of stochastic PDEs: a novel preconditioner and its parallel performance

HPCS'09 Proceedings of the 23rd international conference on High Performance Computing Systems and Applications

Original article: Application of the Polynomial Chaos Expansion to the simulation of chemical reactors with uncertainties

Mathematics and Computers in Simulation

Sparse polynomial approximation in positive order Sobolev spaces with bounded mixed derivatives and applications to elliptic problems with random loading

Applied Numerical Mathematics

Non intrusive iterative stochastic spectral representation with application to compressible gas dynamics

Journal of Computational Physics

Galerkin Methods for Stochastic Hyperbolic Problems Using Bi-Orthogonal Polynomials

Journal of Scientific Computing

Generalised Polynomial Chaos for a Class of Linear Conservation Laws

Journal of Scientific Computing

Application of polynomial chaos in stability and control

Automatica (Journal of IFAC)

Random coefficient differential equation models for bacterial growth

Mathematical and Computer Modelling: An International Journal

Theory of diffusions applied to stochastic flow in porous media

Mathematical and Computer Modelling: An International Journal

Epidemic models with random coefficients

Mathematical and Computer Modelling: An International Journal

Biofilm growth on medical implants with randomness

Mathematical and Computer Modelling: An International Journal

Generalized stochastic perturbation technique in engineering computations

Mathematical and Computer Modelling: An International Journal

Sampling-free linear Bayesian update of polynomial chaos representations

Journal of Computational Physics

Development of a numerical tool for random field discretization

Advances in Engineering Software

Robust goal-oriented error estimation based on the constitutive relation error for stochastic problems

Computers and Structures

Efficient Iterative Solvers for Stochastic Galerkin Discretizations of Log-Transformed Random Diffusion Problems

SIAM Journal on Scientific Computing

Simplex Stochastic Collocation with Random Sampling and Extrapolation for Nonhypercube Probability Spaces

SIAM Journal on Scientific Computing

Strong and Weak Error Estimates for Elliptic Partial Differential Equations with Random Coefficients

SIAM Journal on Numerical Analysis

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

SIAM Journal on Scientific Computing

Polynomial chaos for boundary value problems of dynamical systems

Applied Numerical Mathematics

New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs

Journal of Computational Physics

A finite volume method for scalar conservation laws with stochastic time-space dependent flux functions

Journal of Computational and Applied Mathematics

Error analysis of generalized polynomial chaos for nonlinear random ordinary differential equations

Applied Numerical Mathematics

Topology optimization considering material and geometric uncertainties using stochastic collocation methods

Structural and Multidisciplinary Optimization

Multiscale modeling of semiflexible random fibrous structures

Computer-Aided Design

Statistical full-chip total power estimation considering spatially correlated process variations

Integration, the VLSI Journal

Computation of joint timing yield of sequential networks considering process variations

PATMOS'07 Proceedings of the 17th international conference on Integrated Circuit and System Design: power and timing modeling, optimization and simulation

Combined parametric-nonparametric uncertainty quantification using random matrix theory and polynomial chaos expansion

Computers and Structures

Analytic and numerical solutions of a Riccati differential equation with random coefficients

Journal of Computational and Applied Mathematics

Numerical schemes for dynamically orthogonal equations of stochastic fluid and ocean flows

Journal of Computational Physics

Time-domain formulation in computational dynamics for linear viscoelastic media with model uncertainties and stochastic excitation

Computers & Mathematics with Applications

Fast parameter sensitivity analysis of PDE-based image processing methods

ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part VII

Multiparameter Spectral Representation of Noise-Induced Competence in Bacillus Subtilis

IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)

A dynamic method for efficient random mismatch characterization of standard cells

Proceedings of the International Conference on Computer-Aided Design

A semi-intrusive deterministic approach to uncertainty quantification in non-linear fluid flow problems

Journal of Computational Physics

Robust topology optimization accounting for misplacement of material

Structural and Multidisciplinary Optimization

An adaptive dimension decomposition and reselection method for reliability analysis

Structural and Multidisciplinary Optimization

Optimal determination of frequencies in the spectral representation of stochastic processes

Computational Mechanics

One-dimensional heterogeneous solids with uncertain elastic modulus in presence of long-range interactions: Interval versus stochastic analysis

Computers and Structures

A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations II: Adaptivity and generalizations

Journal of Computational Physics

Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions

Journal of Computational Physics

A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations I: Derivation and algorithms

Journal of Computational Physics

A nonparametric belief propagation method for uncertainty quantification with applications to flow in random porous media

Journal of Computational Physics

Ambrosio-Tortorelli Segmentation of Stochastic Images: Model Extensions, Theoretical Investigations and Numerical Methods

International Journal of Computer Vision

Extended stochastic FEM for diffusion problems with uncertain material interfaces

Computational Mechanics

Computational strategy for the crash design analysis using an uncertain computational mechanical model

Computational Mechanics

Combination technique based k-th moment analysis of elliptic problems with random diffusion

Journal of Computational Physics

Subcell resolution in simplex stochastic collocation for spatial discontinuities

Journal of Computational Physics

Bayesian posteriors of uncertainty quantification in computational structural dynamics for low-and medium-frequency ranges

Computers and Structures

Spectral element approximation of Fredholm integral eigenvalue problems

Journal of Computational and Applied Mathematics

Towards optimal allocation of computer resources: Trade-offs between uncertainty quantification, discretization and model reduction

Environmental Modelling & Software

Multiphysics simulations: Challenges and opportunities

International Journal of High Performance Computing Applications

On the dynamics of uncertain coupled structures through a wave based method in mid- and high-frequency ranges

Computational Mechanics

Uncertainty quantification for integrated circuits: stochastic spectral methods

Proceedings of the International Conference on Computer-Aided Design

A one-time truncate and encode multiresolution stochastic framework

Journal of Computational Physics

A domain decomposition method of stochastic PDEs: An iterative solution techniques using a two-level scalable preconditioner

Journal of Computational Physics

A stochastic Galerkin method for the Euler equations with Roe variable transformation

Journal of Computational Physics

Basis adaptation in homogeneous chaos spaces

Journal of Computational Physics

Grid and basis adaptive polynomial chaos techniques for sensitivity and uncertainty analysis

Journal of Computational Physics

Explicit frequency response functions of discretized structures with uncertain parameters

Computers and Structures

Optimization under worst case constraints--a new global multimodel search procedure

Structural and Multidisciplinary Optimization

Stochastic collocation and stochastic Galerkin methods for linear differential algebraic equations

Journal of Computational and Applied Mathematics

Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients

Computers & Mathematics with Applications

Automating embedded analysis capabilities and managing software complexity in multiphysics simulation, Part II: Application to partial differential equations

Scientific Programming

Automating embedded analysis capabilities and managing software complexity in multiphysics simulation, Part I: Template-based generic programming

Scientific Programming - A New Overview of the Trilinos Project --Part 1

Segmentation of Stochastic Images using Level Set Propagation with Uncertain Speed

Journal of Mathematical Imaging and Vision

The archetype-genome exemplar in molecular dynamics and continuum mechanics

Computational Mechanics