| Nonlocal Physics-Informed Neural Networks - A Unified Theoretical and Computational Framework for Nonlocal Models. | 0 | 0.34 | 2020 |
| Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness. | 0 | 0.34 | 2019 |
| Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. | 74 | 3.81 | 2019 |
| Hidden Fluid Mechanics: A Navier-Stokes Informed Deep Learning Framework for Assimilating Flow Visualization Data. | 6 | 0.48 | 2018 |
| Deep Learning of Vortex Induced Vibrations. | 1 | 0.36 | 2018 |
| A dissipative particle dynamics method for arbitrarily complex geometries. | 0 | 0.34 | 2018 |
| Active learning of constitutive relation from mesoscopic dynamics for macroscopic modeling of non-Newtonian flows. | 2 | 0.42 | 2018 |
| Machine Learning of Space-Fractional Differential Equations. | 3 | 0.48 | 2018 |
| Inferring solutions of differential equations using noisy multi-fidelity data. | 0 | 0.34 | 2017 |
| Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations. | 0 | 0.34 | 2017 |
| Fractional Burgers equation with nonlinear non-locality: Spectral vanishing viscosity and local discontinuous Galerkin methods. | 0 | 0.34 | 2017 |
| Multifidelity Information Fusion Algorithms for High-Dimensional Systems and Massive Data sets. | 13 | 0.78 | 2016 |
| Numerical methods for high-dimensional probability density function equations | 7 | 0.97 | 2016 |
| Flow in complex domains simulated by Dissipative Particle Dynamics driven by geometry-specific body-forces. | 2 | 0.42 | 2016 |
| Deep Multi-fidelity Gaussian Processes. | 0 | 0.34 | 2016 |
| Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms. | 7 | 0.85 | 2016 |
| Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions. | 7 | 0.47 | 2016 |
| Multi-resolution flow simulations by smoothed particle hydrodynamics via domain decomposition | 0 | 0.34 | 2015 |
| Wiener Chaos Versus Stochastic Collocation Methods for Linear Advection-Diffusion-Reaction Equations with Multiplicative White Noise. | 0 | 0.34 | 2015 |
| Algorithms for Propagating Uncertainty Across Heterogeneous Domains | 0 | 0.34 | 2015 |
| Quantification of sampling uncertainty for molecular dynamics simulation: Time-dependent diffusion coefficient in simple fluids | 0 | 0.34 | 2015 |
| Special Issue on "Fractional PDEs: Theory, Numerics, and Applications". | 0 | 0.34 | 2015 |
| The in-silico lab-on-a-chip: petascale and high-throughput simulations of microfluidics at cell resolution | 6 | 0.54 | 2015 |
| Adaptive Wick--Malliavin Approximation to Nonlinear SPDEs with Discrete Random Variables | 1 | 0.43 | 2015 |
| Inflow/Outflow Boundary Conditions For Particle-Based Blood Flow Simulations: Application To Arterial Bifurcations And Trees | 4 | 0.58 | 2015 |
| A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations | 7 | 0.51 | 2015 |
| Numerical Methods for Stochastic Delay Differential Equations Via the Wong-Zakai Approximation. | 2 | 0.47 | 2015 |
| Second-order approximations for variable order fractional derivatives: Algorithms and applications. | 6 | 0.51 | 2015 |
| Tempered Fractional Sturm--Liouville EigenProblems | 13 | 0.92 | 2015 |
| Optimal Error Estimates of Spectral Petrov--Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations | 6 | 0.48 | 2015 |
| Fractional spectral collocation methods for linear and nonlinear variable order FPDEs | 4 | 0.43 | 2015 |
| Numerical Methods for SPDEs with Tempered Stable Processes | 2 | 0.38 | 2015 |
| Time-Splitting Schemes for Fractional Differential Equations I: Smooth Solutions | 3 | 0.42 | 2015 |
| Mesoscale modeling of phase transition dynamics of thermoresponsive polymers. | 2 | 0.42 | 2015 |
| Time Correlation Functions of Brownian Motion and Evaluation of Friction Coefficient in the Near-Brownian-Limit Regime. | 0 | 0.34 | 2014 |
| COARSE-GRAINED MODELING OF PROTEIN UNFOLDING DYNAMICS. | 1 | 0.38 | 2014 |
| A Recursive Sparse Grid Collocation Method for Differential Equations with White Noise. | 2 | 0.41 | 2014 |
| Multiscale Universal Interface: A Concurrent Framework for Coupling Heterogeneous Solvers. | 2 | 0.41 | 2014 |
| Fractional Spectral Collocation Method. | 49 | 2.66 | 2014 |
| Stochastic testing simulator for integrated circuits and MEMS: Hierarchical and sparse techniques | 8 | 0.50 | 2014 |
| Discontinuous Spectral Element Methods for Time- and Space-Fractional Advection Equations. | 22 | 1.08 | 2014 |
| Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations. | 16 | 0.71 | 2014 |
| On the equivalence of dynamically orthogonal and bi-orthogonal methods: Theory and numerical simulations. | 3 | 0.42 | 2014 |
| Reweighted ℓ1ℓ1 minimization method for stochastic elliptic differential equations. | 7 | 0.52 | 2013 |
| Accelerating dissipative particle dynamics simulations on GPUs: Algorithms, numerics and applications. | 11 | 1.22 | 2013 |
| Generalized fictitious methods for fluid-structure interactions: Analysis and simulations. | 10 | 0.86 | 2013 |
| A convergence study for SPDEs using combined Polynomial Chaos and Dynamically-Orthogonal schemes. | 4 | 0.44 | 2013 |
| Exact PDF equations and closure approximations for advective-reactive transport. | 0 | 0.34 | 2013 |
| Adaptive Discontinuous Galerkin Method for Response-Excitation PDF Equations. | 3 | 0.78 | 2013 |
| Time-dependent generalized polynomial chaos | 22 | 1.13 | 2010 |
