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#TitleJournalYearCitations
1The partition of unity finite element method: Basic theory and applicationsComputer Methods in Applied Mechanics and Engineering19962,695
2THE PARTITION OF UNITY METHODInternational Journal for Numerical Methods in Engineering19971,923
3Solving high-dimensional partial differential equations using deep learningProceedings of the National Academy of Sciences of the United States of America2018807
4MAGNETOROTATIONALLY DRIVEN SUPERNOVAE AS THE ORIGIN OF EARLY GALAXY r -PROCESS ELEMENTS?Astrophysical Journal Letters2012396
5Regularization of Grad’s 13 moment equations: Derivation and linear analysisPhysics of Fluids2003390
6Attosecond physics at the nanoscaleReports on Progress in Physics2017274
7ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'SAnalysis and Applications2011230
8Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEsFoundations of Computational Mathematics2010228
9Regularized 13-moment equations: shock structure calculations and comparison to Burnett modelsJournal of Fluid Mechanics2004205
10Sparse tensor discretizations of high-dimensional parametric and stochastic PDEsActa Numerica2011197
11Boundary conditions for regularized 13-moment-equations for micro-channel-flowsJournal of Computational Physics2008140
12Compact third-order limiter functions for finite volume methodsJournal of Computational Physics2009126
13High-Dimensional Adaptive Sparse Polynomial Interpolation and Applications to Parametric PDEsFoundations of Computational Mathematics2014126
14The $p$ and $hp$ versions of the finite element method for problems with boundary layersMathematics of Computation1996123
15Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEsJournal Des Mathematiques Pures Et Appliquees2015114
16A solution algorithm for the fluid dynamic equations based on a stochastic model for molecular motionJournal of Computational Physics2010110
17Fast deterministic pricing of options on Lévy driven assetsESAIM: Mathematical Modelling and Numerical Analysis200497
18Tunneling Time and Weak Measurement in Strong Field IonizationPhysical Review Letters201687
19HTheorem, Regularization, and Boundary Conditions for Linearized 13 Moment Equations">HTheorem, Regularization, and Boundary Conditions for Linearized 13 Moment EquationsPhysical Review Letters200783
20Adaptive stochastic Galerkin FEMComputer Methods in Applied Mechanics and Engineering201478
21THE PARTITION OF UNITY METHODInternational Journal for Numerical Methods in Engineering199776
22Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random CoefficientsFoundations of Computational Mathematics201575
23Adaptive wavelet algorithms for elliptic PDE's on product domainsMathematics of Computation200872
24Comparison of approximate shape gradientsBIT Numerical Mathematics201571
25Sparse finite element methods for operator equations with stochastic dataApplications of Mathematics200669
26Higher-order effects in rarefied channel flowsPhysical Review E200868
27Multidimensional Upwinding. Part I. The Method of Transport for Solving the Euler EquationsJournal of Computational Physics199867
28Generalized p-FEM in homogenizationNumerische Mathematik200066
29Construction of Approximate Entropy Measure-Valued Solutions for Hyperbolic Systems of Conservation LawsFoundations of Computational Mathematics201765
30AN ADVANCED LEAKAGE SCHEME FOR NEUTRINO TREATMENT IN ASTROPHYSICAL SIMULATIONSAstrophysical Journal, Supplement Series201664
31STOCHASTIC GALERKIN DISCRETIZATION OF THE LOG-NORMAL ISOTROPIC DIFFUSION PROBLEMMathematical Models and Methods in Applied Sciences201063
32On the computation of measure-valued solutionsActa Numerica201663
33The hp finite element method for problems in mechanics with boundary layersComputer Methods in Applied Mechanics and Engineering199859
34QUASI-MONTE CARLO METHODS FOR HIGH-DIMENSIONAL INTEGRATION: THE STANDARD (WEIGHTED HILBERT SPACE) SETTING AND BEYONDANZIAM Journal201156
35An Adaptive Wavelet Method for Solving High-Dimensional Elliptic PDEsConstructive Approximation200953
36Multiple traces boundary integral formulation for Helmholtz transmission problemsAdvances in Computational Mathematics201248
37ENO Reconstruction and ENO Interpolation Are StableFoundations of Computational Mathematics201348
38Application of time reverse modeling on ultrasonic non-destructive testing of concreteApplied Mathematical Modelling201146
39ε-subgradient algorithms for locally lipschitz functions on Riemannian manifoldsAdvances in Computational Mathematics201646
40On the approximation of functions by tanh neural networksNeural Networks202146
41Uniqueness conditions for Riemann problems of ideal magnetohydrodynamicsJournal of Plasma Physics200344
42Numerics and subgrid‐scale modeling in large eddy simulations of stratocumulus cloudsJournal of Advances in Modeling Earth Systems201743
43N-TERM WIENER CHAOS APPROXIMATION RATES FOR ELLIPTIC PDEs WITH LOGNORMAL GAUSSIAN RANDOM INPUTSMathematical Models and Methods in Applied Sciences201442
44Parabolic MoleculesFoundations of Computational Mathematics201442
45A finite volume discontinuous Galerkin scheme¶for nonlinear convection-diffusion problemsCalcolo200239
46Macroscopic description of steady and unsteady rarefaction effects in boundary value problems of gas dynamicsContinuum Mechanics and Thermodynamics200938
47STABILITY RESULTS FOR THE TIME-HARMONIC MAXWELL EQUATIONS WITH IMPEDANCE BOUNDARY CONDITIONSMathematical Models and Methods in Applied Sciences201138
48Large‐eddy simulation in an anelastic framework with closed water and entropy balancesJournal of Advances in Modeling Earth Systems201538
49A new algorithm for high-dimensional uncertainty quantification based on dimension-adaptive sparse grid approximation and reduced basis methodsJournal of Computational Physics201538
50Detection of discontinuities in scattered data approximationNumerical Algorithms199737