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#TitleJournalYearCitations
1Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of ImagesIEEE Transactions on Pattern Analysis and Machine Intelligence198413,839
2Efficient Implementation of Weighted ENO SchemesJournal of Computational Physics19965,195
3Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equationsJournal of Computational Physics20194,963
4Theory of Functional Differential EquationsApplied Mathematical Sciences (Switzerland)19774,014
5Neural Networks and the Bias/Variance DilemmaNeural Computation19922,832
6Efficient implementation of essentially non-oscillatory shock-capturing schemes, IIJournal of Computational Physics19892,675
7Theory of Mechanical Damping Due to DislocationsJournal of Applied Physics19561,997
8Total variation diminishing Runge-Kutta schemesMathematics of Computation19981,803
9Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated ProblemsJournal of Scientific Computing20011,395
10Modeling uncertainty in flow simulations via generalized polynomial chaosJournal of Computational Physics20031,192
11TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systemsJournal of Computational Physics19891,152
12Hierarchical Bayesian inference in the visual cortexJournal of the Optical Society of America A: Optics and Image Science, and Vision20031,085
13Stochastic Approximation Methods for Constrained and Unconstrained SystemsApplied Mathematical Sciences (Switzerland)19781,008
14An improved weighted essentially non-oscillatory scheme for hyperbolic conservation lawsJournal of Computational Physics2008953
15Stability theory of solitary waves in the presence of symmetry, IJournal of Functional Analysis1987897
16The gravitational settling of aerosol particles in homogeneous turbulence and random flow fieldsJournal of Fluid Mechanics1987893
17Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizationsScience2020846
18Multiple Scattering of WavesJournal of Mathematical Physics1961808
19On pole assignment in multi-input controllable linear systemsIEEE Transactions on Automatic Control1967772
20Hidden physics models: Machine learning of nonlinear partial differential equationsJournal of Computational Physics2018739
21Kinetics of biopolymerization on nucleic acid templatesBiopolymers1968730
22Application of Dislocation Theory to Internal Friction Phenomena at High FrequenciesJournal of Applied Physics1956715
23Stochastic Approximation Algorithms and ApplicationsJournal of Applied Physics1997714
24Distinguished material surfaces and coherent structures in three-dimensional fluid flowsPhysica D: Nonlinear Phenomena2001691
25Decoupling in the design and synthesis of multivariable control systemsIEEE Transactions on Automatic Control1967690
26Convergence of approximation schemes for fully nonlinear second order equationsAsymptotic Analysis1991687
27The Contact Problem for Viscoelastic BodiesJournal of Applied Mechanics, Transactions ASME1960604
28Learning nonlinear operators via DeepONet based on the universal approximation theorem of operatorsNature Machine Intelligence2021589
29Scattering of a Plane Longitudinal Wave by a Spherical Obstacle in an Isotropically Elastic SolidJournal of Applied Physics1956566
30The Non-Linear Field Theories of MechanicsJournal of Applied Physics1992486
31Option Pricing Under a Double Exponential Jump Diffusion ModelManagement Science2004476
32An adaptive multi-element generalized polynomial chaos method for stochastic differential equationsJournal of Computational Physics2005474
33Physics-informed neural networks for high-speed flowsComputer Methods in Applied Mechanics and Engineering2020464
34Ordinary and Delay Differential EquationsApplied Mathematical Sciences (Switzerland)1977463
35A Multiscale Red Blood Cell Model with Accurate Mechanics, Rheology, and DynamicsBiophysical Journal2010460
36Modeling uncertainty in steady state diffusion problems via generalized polynomial chaosComputer Methods in Applied Mechanics and Engineering2002455
37Runge–Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshesJournal of Computational Physics2008426
38On maximum-principle-satisfying high order schemes for scalar conservation lawsJournal of Computational Physics2010417
39Numerical Methods for Stochastic Control Problems in Continuous TimeJournal of Computational Physics1992416
40On Advances in Statistical Modeling of Natural ImagesJournal of Mathematical Imaging and Vision2003388
41NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equationsJournal of Computational Physics2021386
42The Development of Discontinuous Galerkin MethodsLecture Notes in Computational Science and Engineering2000381
43Bayesian Population Decoding of Motor Cortical Activity Using a Kalman FilterNeural Computation2006380
44A Stable and Conservative Interface Treatment of Arbitrary Spatial AccuracyJournal of Computational Physics1999375
45Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equationsESAIM: Mathematical Modelling and Numerical Analysis2007373
46Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problemsComputer Methods in Applied Mechanics and Engineering2020362
47Convergence of Proportional-Fair Sharing Algorithms Under General ConditionsIEEE Transactions on Wireless Communications2004357
48B-PINNs: Bayesian physics-informed neural networks for forward and inverse PDE problems with noisy dataJournal of Computational Physics2021350
49On head-on collisions between two solitary wavesJournal of Fluid Mechanics1980336
50Dynamics and low-dimensionality of a turbulent near wakeJournal of Fluid Mechanics2000331