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Seminar for Applied Mathematics
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top-articles
Seminar for Applied Mathematics
298
(top 1%)
papers
12.1K
(top 1%)
citations
42
(top 1%)
h
-index
106
(top 1%)
g
-index
317
all documents
12.7K
doc citations
1.4K
citing journals
Top Articles
#
Title
Journal
Year
Citations
1
The partition of unity finite element method: Basic theory and applications
Computer Methods in Applied Mechanics and Engineering
1996
2,695
2
THE PARTITION OF UNITY METHOD
International Journal for Numerical Methods in Engineering
1997
1,923
3
Solving high-dimensional partial differential equations using deep learning
Proceedings of the National Academy of Sciences of the United States of America
2018
807
4
MAGNETOROTATIONALLY DRIVEN SUPERNOVAE AS THE ORIGIN OF EARLY GALAXY
r
-PROCESS ELEMENTS?
Astrophysical Journal Letters
2012
396
5
Regularization of Grad’s 13 moment equations: Derivation and linear analysis
Physics of Fluids
2003
390
6
Attosecond physics at the nanoscale
Reports on Progress in Physics
2017
274
7
ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S
Analysis and Applications
2011
230
8
Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs
Foundations of Computational Mathematics
2010
228
9
Regularized 13-moment equations: shock structure calculations and comparison to Burnett models
Journal of Fluid Mechanics
2004
205
10
Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs
Acta Numerica
2011
197
11
Boundary conditions for regularized 13-moment-equations for micro-channel-flows
Journal of Computational Physics
2008
140
12
Compact third-order limiter functions for finite volume methods
Journal of Computational Physics
2009
126
13
High-Dimensional Adaptive Sparse Polynomial Interpolation and Applications to Parametric PDEs
Foundations of Computational Mathematics
2014
126
14
The $p$ and $hp$ versions of the finite element method for problems with boundary layers
Mathematics of Computation
1996
123
15
Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs
Journal Des Mathematiques Pures Et Appliquees
2015
114
16
A solution algorithm for the fluid dynamic equations based on a stochastic model for molecular motion
Journal of Computational Physics
2010
110
17
Fast deterministic pricing of options on Lévy driven assets
ESAIM: Mathematical Modelling and Numerical Analysis
2004
97
18
Tunneling Time and Weak Measurement in Strong Field Ionization
Physical Review Letters
2016
87
19
H
Theorem, Regularization, and Boundary Conditions for Linearized 13 Moment Equations">
H
Theorem, Regularization, and Boundary Conditions for Linearized 13 Moment Equations
Physical Review Letters
2007
83
20
Adaptive stochastic Galerkin FEM
Computer Methods in Applied Mechanics and Engineering
2014
78
21
THE PARTITION OF UNITY METHOD
International Journal for Numerical Methods in Engineering
1997
76
22
Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients
Foundations of Computational Mathematics
2015
75
23
Adaptive wavelet algorithms for elliptic PDE's on product domains
Mathematics of Computation
2008
72
24
Comparison of approximate shape gradients
BIT Numerical Mathematics
2015
71
25
Sparse finite element methods for operator equations with stochastic data
Applications of Mathematics
2006
69
26
Higher-order effects in rarefied channel flows
Physical Review E
2008
68
27
Multidimensional Upwinding. Part I. The Method of Transport for Solving the Euler Equations
Journal of Computational Physics
1998
67
28
Generalized p-FEM in homogenization
Numerische Mathematik
2000
66
29
Construction of Approximate Entropy Measure-Valued Solutions for Hyperbolic Systems of Conservation Laws
Foundations of Computational Mathematics
2017
65
30
AN ADVANCED LEAKAGE SCHEME FOR NEUTRINO TREATMENT IN ASTROPHYSICAL SIMULATIONS
Astrophysical Journal, Supplement Series
2016
64
31
STOCHASTIC GALERKIN DISCRETIZATION OF THE LOG-NORMAL ISOTROPIC DIFFUSION PROBLEM
Mathematical Models and Methods in Applied Sciences
2010
63
32
On the computation of measure-valued solutions
Acta Numerica
2016
63
33
The hp finite element method for problems in mechanics with boundary layers
Computer Methods in Applied Mechanics and Engineering
1998
59
34
QUASI-MONTE CARLO METHODS FOR HIGH-DIMENSIONAL INTEGRATION: THE STANDARD (WEIGHTED HILBERT SPACE) SETTING AND BEYOND
ANZIAM Journal
2011
56
35
An Adaptive Wavelet Method for Solving High-Dimensional Elliptic PDEs
Constructive Approximation
2009
53
36
Multiple traces boundary integral formulation for Helmholtz transmission problems
Advances in Computational Mathematics
2012
48
37
ENO Reconstruction and ENO Interpolation Are Stable
Foundations of Computational Mathematics
2013
48
38
Application of time reverse modeling on ultrasonic non-destructive testing of concrete
Applied Mathematical Modelling
2011
46
39
ε-subgradient algorithms for locally lipschitz functions on Riemannian manifolds
Advances in Computational Mathematics
2016
46
40
On the approximation of functions by tanh neural networks
Neural Networks
2021
46
41
Uniqueness conditions for Riemann problems of ideal magnetohydrodynamics
Journal of Plasma Physics
2003
44
42
Numerics and subgrid‐scale modeling in large eddy simulations of stratocumulus clouds
Journal of Advances in Modeling Earth Systems
2017
43
43
N-TERM WIENER CHAOS APPROXIMATION RATES FOR ELLIPTIC PDEs WITH LOGNORMAL GAUSSIAN RANDOM INPUTS
Mathematical Models and Methods in Applied Sciences
2014
42
44
Parabolic Molecules
Foundations of Computational Mathematics
2014
42
45
A finite volume discontinuous Galerkin scheme¶for nonlinear convection-diffusion problems
Calcolo
2002
39
46
Macroscopic description of steady and unsteady rarefaction effects in boundary value problems of gas dynamics
Continuum Mechanics and Thermodynamics
2009
38
47
STABILITY RESULTS FOR THE TIME-HARMONIC MAXWELL EQUATIONS WITH IMPEDANCE BOUNDARY CONDITIONS
Mathematical Models and Methods in Applied Sciences
2011
38
48
Large‐eddy simulation in an anelastic framework with closed water and entropy balances
Journal of Advances in Modeling Earth Systems
2015
38
49
A new algorithm for high-dimensional uncertainty quantification based on dimension-adaptive sparse grid approximation and reduced basis methods
Journal of Computational Physics
2015
38
50
Detection of discontinuities in scattered data approximation
Numerical Algorithms
1997
37
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