| Publication | Date of Publication | Type |
|---|
| Residual-based attention in physics-informed neural networks | 2024-03-26 | Paper |
| En-DeepONet: an enrichment approach for enhancing the expressivity of neural operators with applications to seismology | 2024-03-19 | Paper |
| NeuralUQ: A Comprehensive Library for Uncertainty Quantification in Neural Differential Equations and Operators | 2024-02-15 | Paper |
| Discovering a reaction-diffusion model for Alzheimer's disease by combining PINNs with symbolic regression | 2024-01-29 | Paper |
| Learning stiff chemical kinetics using extended deep neural operators | 2024-01-29 | Paper |
| Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs | 2024-01-05 | Paper |
| Accelerating gradient descent and Adam via fractional gradients | 2023-10-26 | Paper |
| Multifidelity deep operator networks for data-driven and physics-informed problems | 2023-10-10 | Paper |
| A unified scalable framework for causal sweeping strategies for physics-informed neural networks (PINNs) and their temporal decompositions | 2023-10-10 | Paper |
| A hybrid deep neural operator/finite element method for ice-sheet modeling | 2023-09-27 | Paper |
| A framework based on symbolic regression coupled with eXtended physics-informed neural networks for gray-box learning of equations of motion from data | 2023-09-12 | Paper |
| On the geometry transferability of the hybrid iterative numerical solver for differential equations | 2023-07-27 | Paper |
| High-order methods for hypersonic flows with strong shocks and real chemistry | 2023-07-21 | Paper |
| Reliable extrapolation of deep neural operators informed by physics or sparse observations | 2023-06-06 | Paper |
| An open-source parallel code for computing the spectral fractional Laplacian on 3D complex geometry domains | 2023-05-31 | Paper |
| Efficient and Accurate Numerical Methods Using the Accelerated Spectral Deferred Correction for Solving Fractional Differential Equations | 2023-04-04 | Paper |
| Leveraging Multi-time Hamilton-Jacobi PDEs for Certain Scientific Machine Learning Problems | 2023-03-22 | Paper |
| On the influence of over-parameterization in manifold based surrogates and deep neural operators | 2023-03-07 | Paper |
| Uncertainty quantification in scientific machine learning: methods, metrics, and comparisons | 2023-02-10 | Paper |
| Interfacing finite elements with deep neural operators for fast multiscale modeling of mechanics problems | 2023-01-19 | Paper |
| Bayesian physics informed neural networks for real-world nonlinear dynamical systems | 2023-01-19 | Paper |
| Neural operator prediction of linear instability waves in high-speed boundary layers | 2023-01-11 | Paper |
| SympOCnet: Solving Optimal Control Problems with Applications to High-Dimensional Multiagent Path Planning Problems | 2022-12-20 | Paper |
| SMS: Spiking Marching Scheme for Efficient Long Time Integration of Differential Equations | 2022-11-17 | Paper |
| When Do Extended Physics-Informed Neural Networks (XPINNs) Improve Generalization? | 2022-10-21 | Paper |
| A Hybrid Iterative Numerical Transferable Solver (HINTS) for PDEs Based on Deep Operator Network and Relaxation Methods | 2022-08-28 | Paper |
| Physics-informed neural networks for inverse problems in supersonic flows | 2022-07-21 | Paper |
| Theory and simulation of electrokinetic fluctuations in electrolyte solutions at the mesoscale | 2022-05-25 | Paper |
| Fractional SEIR Model and Data-Driven Predictions of COVID-19 Dynamics of Omicron Variant | 2022-05-23 | Paper |
| Meta-learning PINN loss functions | 2022-05-17 | Paper |
| A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data | 2022-05-12 | Paper |
| Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems | 2022-05-12 | Paper |
| Bayesian Physics-Informed Neural Networks for real-world nonlinear dynamical systems | 2022-05-12 | Paper |
| A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition | 2022-05-11 | Paper |
| Error estimates for DeepONets: a deep learning framework in infinite dimensions | 2022-05-11 | Paper |
| Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation | 2022-04-29 | Paper |
| Parallel physics-informed neural networks via domain decomposition | 2022-04-29 | Paper |
| DeepM\&Mnet for hypersonics: predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators | 2022-04-29 | Paper |
| DeepM\&Mnet: inferring the electroconvection multiphysics fields based on operator approximation by neural networks | 2022-04-25 | Paper |
| NSFnets (Navier-Stokes flow nets): physics-informed neural networks for the incompressible Navier-Stokes equations | 2022-04-19 | Paper |
| Active- and transfer-learning applied to microscale-macroscale coupling to simulate viscoelastic flows | 2022-04-19 | Paper |
| nPINNs: nonlocal physics-informed neural networks for a parametrized nonlocal universal Laplacian operator. Algorithms and applications | 2022-04-14 | Paper |
| Physics-informed semantic inpainting: application to geostatistical modeling | 2022-04-14 | Paper |
| Multi-fidelity Bayesian neural networks: algorithms and applications | 2022-04-11 | Paper |
| A phase-field method for boiling heat transfer | 2022-04-06 | Paper |
| A physics-informed variational DeepONet for predicting crack path in quasi-brittle materials | 2022-03-11 | Paper |
| Physics-informed neural networks for inverse problems in supersonic flows | 2022-02-23 | Paper |
| Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations | 2022-01-21 | Paper |
| Towards a unified theory of fractional and nonlocal vector calculus | 2021-12-13 | Paper |
| Learning and meta-learning of stochastic advection–diffusion–reaction systems from sparse measurements | 2021-12-08 | Paper |
| Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness | 2021-12-07 | Paper |
| Sympnets: intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems | 2021-12-07 | Paper |
| Multiscale parareal algorithm for long-time mesoscopic simulations of microvascular blood flow in zebrafish | 2021-11-24 | Paper |
| A fast multi-fidelity method with uncertainty quantification for complex data correlations: application to vortex-induced vibrations of marine risers | 2021-11-16 | Paper |
| Dying ReLU and Initialization: Theory and Numerical Examples | 2021-11-02 | Paper |
| Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations | 2021-11-02 | Paper |
| On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs | 2021-11-02 | Paper |
| Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks | 2021-10-29 | Paper |
| A seamless multiscale operator neural network for inferring bubble dynamics | 2021-10-28 | Paper |
| Analytical and Computational Studies of Correlations of Hydrodynamic Fluctuations in Shear Flow | 2021-10-26 | Paper |
| GFINNs: GENERIC Formalism Informed Neural Networks for Deterministic and Stochastic Dynamical Systems | 2021-08-31 | Paper |
| A physics-informed variational DeepONet for predicting the crack path in brittle materials | 2021-08-16 | Paper |
| Flow over an espresso cup: inferring 3-D velocity and pressure fields from tomographic background oriented Schlieren via physics-informed neural networks | 2021-05-07 | Paper |
| Non-invasive inference of thrombus material properties with physics-informed neural networks | 2021-04-27 | Paper |
| \textit{hp}-VPINNs: variational physics-informed neural networks with domain decomposition | 2021-04-26 | Paper |
| PPINN: parareal physics-informed neural network for time-dependent PDEs | 2021-04-23 | Paper |
| Two-point stress–strain-rate correlation structure and non-local eddy viscosity in turbulent flows | 2021-03-26 | Paper |
| Convergence rate of DeepONets for learning operators arising from advection-diffusion equations | 2021-02-21 | Paper |
| Error estimates for DeepOnets: A deep learning framework in infinite dimensions | 2021-02-18 | Paper |
| DeepXDE: A Deep Learning Library for Solving Differential Equations | 2021-02-10 | Paper |
| What is the fractional Laplacian? A comparative review with new results | 2021-01-28 | Paper |
| Adaptive activation functions accelerate convergence in deep and physics-informed neural networks | 2021-01-28 | Paper |
| A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations | 2021-01-28 | Paper |
| A stabilized phase-field method for two-phase flow at high Reynolds number and large density/viscosity ratio | 2021-01-27 | Paper |
| Quantifying total uncertainty in physics-informed neural networks for solving forward and inverse stochastic problems | 2021-01-27 | Paper |
| A composite neural network that learns from multi-fidelity data: application to function approximation and inverse PDE problems | 2021-01-27 | Paper |
| Supervised parallel-in-time algorithm for long-time Lagrangian simulations of stochastic dynamics: application to hydrodynamics | 2021-01-26 | Paper |
| Error estimates of residual minimization using neural networks for linear PDEs | 2020-10-15 | Paper |
| Fractional calculus and numerical methods for fractional PDEs | 2020-07-27 | Paper |
| Conservative physics-informed neural networks on discrete domains for conservation laws: applications to forward and inverse problems | 2020-05-28 | Paper |
| A fast solver for spectral elements applied to fractional differential equations using hierarchical matrix approximation | 2020-05-28 | Paper |
| Physics-informed neural networks for high-speed flows | 2020-04-29 | Paper |
| Discovering a universal variable-order fractional model for turbulent Couette flow using a physics-informed neural network | 2020-04-23 | Paper |
| Fractional Gray-Scott model: well-posedness, discretization, and simulations | 2020-04-16 | Paper |
| Multi-domain spectral collocation method for variable-order nonlinear fractional differential equations | 2020-04-16 | Paper |
| One-dimensional modeling of fractional flow reserve in coronary artery disease: uncertainty quantification and Bayesian optimization | 2020-04-16 | Paper |
| A partitioned coupling framework for peridynamics and classical theory: analysis and simulations | 2020-04-08 | Paper |
| nPINNs: nonlocal Physics-Informed Neural Networks for a parametrized nonlocal universal Laplacian operator. Algorithms and Applications | 2020-04-08 | Paper |
| Multi-fidelity optimization of super-cavitating hydrofoils | 2020-04-07 | Paper |
| A tunable finite difference method for fractional differential equations with non-smooth solutions | 2020-04-06 | Paper |
| A Petrov-Galerkin spectral element method for fractional elliptic problems | 2020-04-06 | Paper |
| Adaptive finite element method for fractional differential equations using hierarchical matrices | 2020-04-06 | Paper |
| Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions | 2020-04-06 | Paper |
| Fractional-order uniaxial visco-elasto-plastic models for structural analysis | 2020-04-03 | Paper |
| A phase-field/ALE method for simulating fluid-structure interactions in two-phase flow | 2020-04-03 | Paper |
| Learning in Modal Space: Solving Time-Dependent Stochastic PDEs Using Physics-Informed Neural Networks | 2020-03-27 | Paper |
| Nonlocal flocking dynamics: learning the fractional order of PDEs from particle simulations | 2020-01-27 | Paper |
| Mapping the properties of the vortex-induced vibrations of flexible cylinders in uniform oncoming flow | 2019-11-18 | Paper |
| Learning and Meta-Learning of Stochastic Advection-Diffusion-Reaction Systems from Sparse Measurements | 2019-10-20 | Paper |
| A Spectral Penalty Method for Two-Sided Fractional Differential Equations with General Boundary Conditions | 2019-08-28 | Paper |
| Machine Learning of Space-Fractional Differential Equations | 2019-08-28 | Paper |
| Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations | 2019-08-28 | Paper |
| fPINNs: Fractional Physics-Informed Neural Networks | 2019-08-28 | Paper |
| Parametric Gaussian process regression for big data | 2019-08-19 | Paper |
| Fractional magneto-hydrodynamics: algorithms and applications | 2019-07-22 | Paper |
| Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations | 2019-07-22 | Paper |
| Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms | 2019-06-24 | Paper |
| A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations | 2019-06-12 | Paper |
| Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes | 2019-03-12 | Paper |
| An entropy-viscosity large eddy simulation study of turbulent flow in a flexible pipe | 2019-01-21 | Paper |
| Deep learning of vortex-induced vibrations | 2019-01-15 | Paper |
| Nonlinear information fusion algorithms for data-efficient multi-fidelity modelling | 2019-01-04 | Paper |
| Efficient multistep methods for tempered fractional calculus: Algorithms and Simulations | 2018-12-03 | Paper |
| Numerical methods for high-dimensional kinetic equations | 2018-11-22 | Paper |
| A Riesz Basis Galerkin Method for the Tempered Fractional Laplacian | 2018-11-07 | Paper |
| A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations | 2018-09-26 | Paper |
| A unified Petrov-Galerkin spectral method for fractional PDEs | 2018-08-30 | Paper |
| Active learning of constitutive relation from mesoscopic dynamics for macroscopic modeling of non-Newtonian flows | 2018-08-10 | Paper |
| A spectral-element/Fourier smoothed profile method for large-eddy simulations of complex VIV problems | 2018-08-06 | Paper |
| Stochastic Domain Decomposition via Moment Minimization | 2018-07-18 | Paper |
| A Computational Stochastic Methodology for the Design of Random Meta-materials under Geometric Constraints | 2018-03-14 | Paper |
| Hidden physics models: machine learning of nonlinear partial differential equations | 2018-02-23 | Paper |
| A dissipative particle dynamics method for arbitrarily complex geometries | 2018-02-22 | Paper |
| Machine learning of linear differential equations using Gaussian processes | 2018-02-06 | Paper |
| Discovering variable fractional orders of advection-dispersion equations from field data using multi-fidelity Bayesian optimization | 2018-02-06 | Paper |
| A robust bi-orthogonal/dynamically-orthogonal method using the covariance pseudo-inverse with application to stochastic flow problems | 2018-02-01 | Paper |
| What Is the Fractional Laplacian? | 2018-01-29 | Paper |
| Numerical Gaussian Processes for Time-Dependent and Nonlinear Partial Differential Equations | 2018-01-22 | Paper |
| A Spectral Method (of Exponential Convergence) for Singular Solutions of the Diffusion Equation with General Two-Sided Fractional Derivative | 2018-01-17 | Paper |
| Multistep Neural Networks for Data-driven Discovery of Nonlinear Dynamical Systems | 2018-01-03 | Paper |
| Inferring solutions of differential equations using noisy multi-fidelity data | 2017-12-14 | Paper |
| Multi-fidelity Gaussian process regression for prediction of random fields | 2017-12-14 | Paper |
| Fractional Burgers equation with nonlinear non-locality: spectral vanishing viscosity and local discontinuous Galerkin methods | 2017-12-14 | Paper |
| Fractional spectral vanishing viscosity method: application to the quasi-geostrophic equation | 2017-11-13 | Paper |
| Wick–Malliavin approximation to nonlinear stochastic partial differential equations: analysis and simulations | 2017-09-29 | Paper |
| Convolutionless Nakajima–Zwanzig equations for stochastic analysis in nonlinear dynamical systems | 2017-09-29 | Paper |
| Statistical analysis and simulation of random shocks in stochastic Burgers equation | 2017-09-29 | Paper |
| Multi-fidelity modelling of mixed convection based on experimental correlations and numerical simulations | 2017-09-28 | Paper |
| Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations | 2017-08-15 | Paper |
| The flow dynamics of the garden-hose instability | 2017-08-01 | Paper |
| Numerical methods for stochastic partial differential equations with white noise | 2017-06-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5268555 | 2017-06-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5268602 | 2017-06-20 | Paper |
| A Petrov--Galerkin Spectral Method of Linear Complexity for Fractional Multiterm ODEs on the Half Line | 2017-06-14 | Paper |
| Petrov--Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations | 2017-06-14 | Paper |
| Extrapolation-Based Acceleration of Iterative Solvers: Application to Simulation of 3D Flows | 2017-06-07 | Paper |
| A computable evolution equation for the joint response-excitation probability density function of stochastic dynamical systems | 2017-06-07 | Paper |
| A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities | 2017-03-20 | Paper |
| Probing red blood cell mechanics, rheology and dynamics with a two-component multi-scale model | 2017-01-13 | Paper |
| A semi‐local spectral/hp element solver for linear elasticity problems | 2016-12-30 | Paper |
| Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations | 2016-12-20 | Paper |
| Quantification of sampling uncertainty for molecular dynamics simulation: time-dependent diffusion coefficient in simple fluids | 2016-12-05 | Paper |
| Numerical methods for high-dimensional probability density function equations | 2016-12-05 | Paper |
| Flow in complex domains simulated by dissipative particle dynamics driven by geometry-specific body-forces | 2016-12-05 | Paper |
| Exact PDF equations and closure approximations for advective-reactive transport | 2016-12-05 | Paper |
| A convergence study for SPDEs using combined polynomial chaos and dynamically-orthogonal schemes | 2016-12-05 | Paper |
| Generalized fictitious methods for fluid-structure interactions: analysis and simulations | 2016-12-05 | Paper |
| Reweighted \(\ell_1\) minimization method for stochastic elliptic differential equations | 2016-12-05 | Paper |
| Fractional Sturm-Liouville eigen-problems: theory and numerical approximation | 2016-12-05 | Paper |
| Exponentially accurate spectral and spectral element methods for fractional ODEs | 2016-12-05 | Paper |
| A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains | 2016-12-05 | Paper |
| Energy-conserving dissipative particle dynamics with temperature-dependent properties | 2016-12-05 | Paper |
| On the equivalence of dynamically orthogonal and bi-orthogonal methods: theory and numerical simulations | 2016-12-05 | Paper |
| Second-order approximations for variable order fractional derivatives: algorithms and applications | 2016-12-05 | Paper |
| Fractional spectral collocation methods for linear and nonlinear variable order FPDEs | 2016-12-05 | Paper |
| Multiscale universal interface: a concurrent framework for coupling heterogeneous solvers | 2016-12-05 | Paper |
| Multi-resolution flow simulations by smoothed particle hydrodynamics via domain decomposition | 2016-12-05 | Paper |
| Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions | 2016-10-12 | Paper |
| Strong and weak convergence order of finite element methods for stochastic PDEs with spatial white noise | 2016-08-25 | Paper |
| A Tunably-Accurate Laguerre Petrov-Galerkin Spectral Method for Multi-Term Fractional Differential Equations on the Half Line | 2016-07-28 | Paper |
| Multifidelity Information Fusion Algorithms for High-Dimensional Systems and Massive Data sets | 2016-07-20 | Paper |
| A bidirectional model for communication in the neurovascular unit | 2016-06-09 | Paper |
| U-shaped fairings suppress vortex-induced vibrations for cylinders in cross-flow | 2016-05-19 | Paper |
| Algorithms for Propagating Uncertainty Across Heterogeneous Domains | 2015-12-18 | Paper |
| Numerical Methods for Stochastic Delay Differential Equations Via the Wong--Zakai Approximation | 2015-11-27 | Paper |
| A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations | 2015-11-25 | Paper |
| Wiener Chaos Versus Stochastic Collocation Methods for Linear Advection-Diffusion-Reaction Equations with Multiplicative White Noise | 2015-09-16 | Paper |
| Optimal Error Estimates of Spectral Petrov--Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations | 2015-09-14 | Paper |
| Adaptive Wick--Malliavin Approximation to Nonlinear SPDEs with Discrete Random Variables | 2015-08-17 | Paper |
| Time-Splitting Schemes for Fractional Differential Equations I: Smooth Solutions | 2015-07-30 | Paper |
| Tempered Fractional Sturm--Liouville EigenProblems | 2015-07-30 | Paper |
| Brownian motion of a Rayleigh particle confined in a channel: a generalized Langevin equation approach | 2015-07-01 | Paper |
| Numerical Methods for SPDEs with Tempered Stable Processes | 2015-06-10 | Paper |
| Coarse-Grained Modeling of Protein Unfolding Dynamics | 2015-05-19 | Paper |
| Time Correlation Functions of Brownian Motion and Evaluation of Friction Coefficient in the Near-Brownian-Limit Regime | 2015-05-19 | Paper |
| Window Proper Orthogonal Decomposition: Application to Continuum and Atomistic Data | 2015-04-14 | Paper |
| Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations | 2015-03-02 | Paper |
| Adaptive multi-element polynomial chaos with discrete measure: algorithms and application to SPDEs | 2015-01-29 | Paper |
| Discontinuous Spectral Element Methods for Time- and Space-Fractional Advection Equations | 2014-11-17 | Paper |
| Parallel multiscale simulations of a brain aneurysm | 2014-08-27 | Paper |
| Fractional Spectral Collocation Method | 2014-05-26 | Paper |
| Blood flow in small tubes: quantifying the transition to the non-continuum regime | 2014-05-21 | Paper |
| Stochastic smoothed profile method for modeling random roughness in flow problems | 2014-05-13 | Paper |
| Numerical solution of the Stratonovich- and Ito-Euler equations: application to the stochastic piston problem | 2014-05-12 | Paper |
| DIFFERENTIAL CONSTRAINTS FOR THE PROBABILITY DENSITY FUNCTION OF STOCHASTIC SOLUTIONS TO THE WAVE EQUATION | 2014-04-25 | Paper |
| New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs | 2014-04-22 | Paper |
| Distributed lock-in drives broadband vortex-induced vibrations of a long flexible cylinder in shear flow | 2014-04-01 | Paper |
| Simulation and modelling of slip flow over surfaces grafted with polymer brushes and glycocalyx fibres | 2013-11-21 | Paper |
| Adaptive Discontinuous Galerkin Method for Response-Excitation PDF Equations | 2013-10-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4899691 | 2013-01-08 | Paper |
| Error Estimates for the ANOVA Method with Polynomial Chaos Interpolation: Tensor Product Functions | 2012-08-23 | Paper |
| A hybrid spectral/DG method for solving the phase-averaged ocean wave equation: algorithm and validation | 2012-08-19 | Paper |
| Mixed spectral/\(hp\) element formulation for nonlinear elasticity | 2012-07-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2895116 | 2012-07-02 | Paper |
| Vortex-induced vibrations of a long flexible cylinder in shear flow | 2012-06-15 | Paper |
| A convergence study of a new partitioned fluid-structure interaction algorithm based on fictitious mass and damping | 2012-05-30 | Paper |
| Adaptive ANOVA decomposition of stochastic incompressible and compressible flows | 2012-05-18 | Paper |
| Systematic coarse-graining of spectrin-level red blood cell models | 2012-02-08 | Paper |
| Solving elliptic problems with non-Gaussian spatially-dependent random coefficients | 2011-11-30 | Paper |
| Sub-iteration leads to accuracy and stability enhancements of semi-implicit schemes for the Navier-Stokes equations | 2011-07-13 | Paper |
| Time-dependent and outflow boundary conditions for dissipative particle dynamics | 2011-06-15 | Paper |
| Anchor Points Matter in ANOVA Decomposition | 2011-05-18 | Paper |
| A stochastic modeling methodology based on weighted Wiener chaos and Malliavin calculus | 2011-01-24 | Paper |
| Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows | 2011-01-20 | Paper |
| Time-dependent generalized polynomial chaos | 2010-11-05 | Paper |
| Stochastic modeling of random roughness in shock scattering problems: theory and simulations | 2010-09-13 | Paper |
| Simulation of \(\lambda\)-phage DNA in microchannels using dissipative particle dynamics | 2010-09-10 | Paper |
| A new domain decomposition method with overlapping patches for ultrascale simulations: application to biological flows | 2010-07-28 | Paper |
| Stochastic bifurcation analysis of Rayleigh–Bénard convection | 2010-06-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3571935 | 2010-06-28 | Paper |
| Performance Evaluation of Generalized Polynomial Chaos | 2010-06-17 | Paper |
| Modeling electrokinetic flows by the smoothed profile method | 2010-05-07 | Paper |
| Multi-element probabilistic collocation method in high dimensions | 2010-02-09 | Paper |
| Sensitivity analysis and stochastic simulations of non‐equilibrium plasma flow | 2009-12-07 | Paper |
| Stochastic simulation of riser-sections with uncertain measured pressure loads and/or uncertain material properties | 2009-11-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3630854 | 2009-06-04 | Paper |
| Smoothed profile method for particulate flows: error analysis and simulations | 2009-03-09 | Paper |
| Triple-decker: Interfacing atomistic-mesoscopic-continuum flow regimes | 2009-03-09 | Paper |
| The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications | 2008-11-19 | Paper |
| Stochastic low-dimensional modelling of a random laminar wake past a circular cylinder | 2008-10-24 | Paper |
| Velocity limit in DPD simulations of wall-bounded flows | 2008-03-28 | Paper |
| Long-term behavior of polynomial chaos in stochastic flow simulations | 2007-09-24 | Paper |
| A discontinuous Galerkin method for two-temperature plasmas | 2007-09-20 | Paper |
| Turbulent drag reduction by constant near-wall forcing | 2007-07-12 | Paper |
| Towards stable coupling methods for high-order discretization of fluid-structure interaction: algorithms and observations | 2007-05-23 | Paper |
| Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures | 2007-05-22 | Paper |
| Hierarchical spectral basis and Galerkin formulation using barycentric quadrature grids in triangular elements | 2007-03-14 | Paper |
| A combined direct numerical simulation–particle image velocimetry study of the turbulent near wake | 2007-02-06 | Paper |
| Stochastic heat transfer enhancement in a grooved channel | 2007-02-06 | Paper |
| A sharp error estimate for the fast Gauss transform | 2006-12-07 | Paper |
| A family of time-staggered schemes for integrating hybrid DPD models for polymers: Algorithms and applications | 2006-11-15 | Paper |
| Predicting shock dynamics in the presence of uncertainties | 2006-10-10 | Paper |
| Beyond Wiener-Askey expansions: handling arbitrary PDFs | 2006-09-12 | Paper |
| Three-dimensionality effects in flow around two tandem cylinders | 2006-08-10 | Paper |
| Numerical studies of the stochastic Korteweg-de Vries equation | 2006-04-28 | Paper |
| Gappy data: to krig or not to krig? | 2005-12-27 | Paper |
| Computational Science - ICCS 2004 | 2005-12-23 | Paper |
| Spectral/hp Element Methods for Computational Fluid Dynamics | 2005-11-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5702447 | 2005-11-01 | Paper |
| Supersensitivity due to uncertain boundary conditions | 2005-10-20 | Paper |
| Microflows and nanoflows. Fundamentals and simulation. Foreword by Chih-Ming Ho. | 2005-09-27 | Paper |
| An adaptive multi-element generalized polynomial chaos method for stochastic differential equations | 2005-08-04 | Paper |
| The stochastic piston problem | 2005-07-19 | Paper |
| Equation-free/Galerkin-free POD-assisted computation of incompressible flows | 2005-06-27 | Paper |
| Selecting the numerical flux in discontinuous Galerkin methods for diffusion problems | 2005-06-13 | Paper |
| A new method to impose no-slip boundary conditions in dissipative particle dynamics | 2005-06-13 | Paper |
| Stability and accuracy of periodic flow solutions obtained by a POD-penalty method | 2005-06-01 | Paper |
| Gappy data and reconstruction procedures for flow past a cylinder | 2005-04-23 | Paper |
| Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation | 2005-02-25 | Paper |
| Adaptive Generalized Polynomial Chaos for Nonlinear Random Oscillators | 2005-02-25 | Paper |
| Generalized polynomial chaos and random oscillators | 2005-01-12 | Paper |
| PARALLEL CFD BENCHMARKS ON CRAY COMPUTERS | 2004-10-06 | Paper |
| Predictability and uncertainty in flow--structure interactions | 2004-08-06 | Paper |
| DNS and experiments of flow past a wired cylinder at low Reynolds number | 2004-08-06 | Paper |
| Spectral distributed Lagrange multiplier method: algorithm and benchmark tests | 2004-08-06 | Paper |
| A spectral vanishing viscosity method for stabilizing viscoelastic flows | 2004-07-12 | Paper |
| A new stochastic approach to transient heat conduction modeling with uncertainty. | 2004-05-27 | Paper |
| Effects of oblique inflow in vortex-induced vibrations | 2004-05-27 | Paper |
| A spectral viscosity method for correcting the long-term behavior of POD models. | 2004-03-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4454414 | 2004-03-08 | Paper |
| M<scp>ECHANISMS ON</scp> T<scp>RANSVERSE</scp> M<scp>OTIONS IN</scp> T<scp>URBULENT</scp> W<scp>ALL</scp> F<scp>LOWS</scp> | 2004-03-08 | Paper |
| SOME EXPERIMENTS WITH STABILITY ANALYSIS OF DISCRETE INCOMPRESSIBLE FLOWS IN THE LID-DRIVEN CAVITY | 2004-02-03 | Paper |
| A semi-Lagrangian high-order method for Navier-Stokes equations | 2004-01-26 | Paper |
| \(P\)-refinement and \(P\)-threads. | 2004-01-19 | Paper |
| De-aliasing on non-uniform grids: algorithms and applications. | 2003-11-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4432603 | 2003-10-27 | Paper |
| Modeling uncertainty in flow simulations via generalized polynomial chaos. | 2003-05-20 | Paper |
| Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos | 2003-04-02 | Paper |
| Flow-induced vibrations of non-linear cables. Part 1: Models and algorithms | 2003-03-19 | Paper |
| Flow-induced vibrations of non-linear cables. Part 2: Simulations | 2003-03-19 | Paper |
| Simulating turbulence in complex geometries | 2003-02-16 | Paper |
| The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations | 2003-01-05 | Paper |
| A low-dimensional model for simulating three-dimensional cylinder flow | 2002-10-31 | Paper |
| A discontinuous Galerkin spectral/\(hp\) method on hybrid grids | 2002-09-11 | Paper |
| Drag reduction in wall-bounded turbulence via a transverse travelling wave | 2002-08-28 | Paper |
| Spectral polynomial chaos solutions of the stochastic advection equation | 2002-08-20 | Paper |
| A semi-Lagrangian method for turbulence simulations using mixed spectral discretizations | 2002-08-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4952239 | 2002-07-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4952276 | 2002-07-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4953429 | 2002-07-22 | Paper |
| Dynamics and low-dimensionality of a turbulent near wake | 2002-06-27 | Paper |
| Dynamics and flow structures in the turbulent wake of rigid and flexible cylinders subject to vortex-induced vibrations | 2002-04-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2784273 | 2002-04-22 | Paper |
| Numerical simulation of turbulent drag reduction using micro-bubbles | 2002-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4239364 | 2001-08-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4239401 | 2001-07-10 | Paper |
| Parallel DNS algorithm on unstructured grids | 2001-03-25 | Paper |
| A spectral vanishing viscosity method for large eddy simulations | 2001-02-28 | Paper |
| A discontinuous Galerkin method for the viscous MHD equations | 2001-02-08 | Paper |
| A triangular spectral element method; applications to the incompressible Navier-Stokes equations. | 2000-09-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4490850 | 2000-07-24 | Paper |
| A discontinuous Galerkin ALE method for compressible viscous flows in moving domains | 2000-02-15 | Paper |
| Spectral/hp methods for viscous compressible flows on unstructured 2D meshes | 2000-01-11 | Paper |
| A discontinuous Galerkin method for the Navier-Stokes equations | 1999-11-11 | Paper |
| Galerkin and discontinuous Galerkin spectral/\(hp\) methods | 1999-08-23 | Paper |
| Basis Functions for Triangular and Quadrilateral High-Order Elements | 1999-06-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4217187 | 1999-04-07 | Paper |
| A penalty method for the vorticity-velocity formulation | 1999-03-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4499874 | 1999-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4343402 | 1998-08-31 | Paper |
| Parallel benchmarks of turbulence in complex geometries | 1998-06-18 | Paper |
| A direct numerical simulation study of flow past a freely vibrating cable | 1998-03-15 | Paper |
| Unsteadiness and convective instabilities in two-dimensional flow over a backward-facing step | 1997-11-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4341531 | 1997-10-08 | Paper |
| Unsteady Two-Dimensional Flows in Complex Geometries: Comparative Bifurcation Studies with Global Eigenfunction Expansions | 1997-06-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4892090 | 1997-03-09 | Paper |
| Spectral element methods for elliptic problems in nonsmooth domains | 1996-08-29 | Paper |
| Tetrahedral \(hp\) finite elements: Algorithms and flow simulations | 1996-07-01 | Paper |
| Unstructured spectral element methods for simulation of turbulent flows | 1996-03-25 | Paper |
| A new triangular and tetrahedral basis for high‐order (hp) finite element methods | 1996-02-04 | Paper |
| Spectral element-FCT method for the one- and two-dimensional compressible Euler equations | 1995-07-25 | Paper |
| Vorticity transport in modeling three-dimensional unsteady shear flows | 1995-01-01 | Paper |
| A spectral element-FCT method for the compressible Euler equations | 1994-12-07 | Paper |
| Generalized Stokes eigenfunctions: A new trial basis for the solution of incompressible Navier-Stokes equations | 1994-12-07 | Paper |
| Numerical simulation of the ion etching process | 1994-05-10 | Paper |
| Non-oscillatory spectral element Chebyshev method for shock wave calculations | 1994-02-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4693838 | 1993-06-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4693850 | 1993-06-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4693890 | 1993-06-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4028714 | 1993-03-28 | Paper |
| Parallel spectral-element-Fourier simulation of turbulent flow over riblet-mounted surfaces | 1992-09-27 | Paper |
| Spectral element‐FCT method for scalar hyperbolic conservation laws | 1992-09-27 | Paper |
| Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders | 1992-09-26 | Paper |
| Three-dimensional dynamics and transition to turbulence in the wake of bluff objects | 1992-08-13 | Paper |
| Hybrid spectral-element-low-order methods for incompressible flows | 1992-06-28 | Paper |
| High-order splitting methods for the incompressible Navier-Stokes equations | 1992-06-27 | Paper |
| Onset of three-dimensionality, equilibria, and early transition in flow over a backward-facing step | 1991-01-01 | Paper |
| Spectral element-Fourier methods for incompressible turbulent flows | 1990-01-01 | Paper |
| Spectral element simulations of laminar and turbulent flows in complex geometries | 1989-01-01 | Paper |
| Frequency selection and asymptotic states in laminar wakes | 1989-01-01 | Paper |
| Recent advances in parallel spectral element simulation of unsteady incompressible flows | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3727583 | 1986-01-01 | Paper |
