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Numerical Methods for Partial Differential Equat
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Top Articles
Numerical Methods for Partial Differential Equations
3.1
(top 20%)
impact factor
2.5K
(top 10%)
papers
36.9K
(top 10%)
citations
71
(top 10%)
h
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3.1
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impact factor
3.1K
all documents
39.4K
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110
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Top Articles
#
Title
Journal
Year
Citations
1
Variational formulation for the stationary fractional advection dispersion equation
Numerical Methods for Partial Differential Equations
2006
578
2
Solving nonlinear fractional partial differential equations using the homotopy analysis method
Numerical Methods for Partial Differential Equations
2010
516
3
H-p clouds—anh-p meshless method
Numerical Methods for Partial Differential Equations
1996
475
4
Simple nonconforming quadrilateral Stokes element
Numerical Methods for Partial Differential Equations
1992
474
5
Exponential convergence andH-c multiquadric collocation method for partial differential equations
Numerical Methods for Partial Differential Equations
2003
313
6
Discontinuous Galerkin approximations for elliptic problems
Numerical Methods for Partial Differential Equations
2000
277
7
Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
Numerical Methods for Partial Differential Equations
2002
260
8
Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu
Numerical Methods for Partial Differential Equations
2018
236
9
Variational solution of fractional advection dispersion equations on bounded domains in ℝd
Numerical Methods for Partial Differential Equations
2007
208
10
A class of discontinuous Petrov–Galerkin methods. II. Optimal test functions
Numerical Methods for Partial Differential Equations
2011
195
11
On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation
Numerical Methods for Partial Differential Equations
2005
187
12
Contributions to the mathematics of the nonstandard finite difference method and applications
Numerical Methods for Partial Differential Equations
2001
185
13
A numerical method for solving the hyperbolic telegraph equation
Numerical Methods for Partial Differential Equations
2008
177
14
A compact multipoint flux approximation method with improved robustness
Numerical Methods for Partial Differential Equations
2008
175
15
Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
Numerical Methods for Partial Differential Equations
2010
155
16
A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications
Numerical Methods for Partial Differential Equations
2006
149
17
A wavelet based numerical scheme for fractional order
SEIR
epidemic of measles by using Genocchi polynomials
Numerical Methods for Partial Differential Equations
2021
146
18
An immersed finite element space and its approximation capability
Numerical Methods for Partial Differential Equations
2004
145
19
Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method
Numerical Methods for Partial Differential Equations
2010
145
20
Numerical methods for structured population models: The Escalator Boxcar Train
Numerical Methods for Partial Differential Equations
1988
142
21
The method of approximate particular solutions for solving certain partial differential equations
Numerical Methods for Partial Differential Equations
2012
132
22
Virtual element methods for parabolic problems on polygonal meshes
Numerical Methods for Partial Differential Equations
2015
132
23
Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
Numerical Methods for Partial Differential Equations
2014
131
24
Efficient numerical methods for pricing American options under stochastic volatility
Numerical Methods for Partial Differential Equations
2008
126
25
Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition
Numerical Methods for Partial Differential Equations
2007
123
26
Discrete duality finite volume schemes for Leray−Lions−type elliptic problems on general 2D meshes
Numerical Methods for Partial Differential Equations
2007
119
27
Some remarks on Zienkiewicz-Zhu estimator
Numerical Methods for Partial Differential Equations
1994
117
28
A high-order compact formulation for the 3D Poisson equation
Numerical Methods for Partial Differential Equations
1996
117
29
Numerical simulation and solutions of the two‐component second order KdV evolutionarysystem
Numerical Methods for Partial Differential Equations
2018
116
30
Gauss point mass lumping schemes for Maxwell's equations
Numerical Methods for Partial Differential Equations
1998
112
31
Exact solutions to a finite-difference model of a nonlinear reaction-advection equation: Implications for numerical analysis
Numerical Methods for Partial Differential Equations
1989
110
32
Trefftz method: A general theory
Numerical Methods for Partial Differential Equations
2000
110
33
Approximation capability of a bilinear immersed finite element space
Numerical Methods for Partial Differential Equations
2008
110
34
Finite volume element approximations of nonlocal reactive flows in porous media
Numerical Methods for Partial Differential Equations
2000
108
35
Numerical solution of parametrized Navier–Stokes equations by reduced basis methods
Numerical Methods for Partial Differential Equations
2007
108
36
Finite volume methods on Voronoi meshes
Numerical Methods for Partial Differential Equations
1998
104
37
An analysis of the finite element method for natural convection problems
Numerical Methods for Partial Differential Equations
1990
102
38
Extension of high-order compact schemes to time-dependent problems
Numerical Methods for Partial Differential Equations
2001
99
39
A decoupling method with different subdomain time steps for the nonstationary stokes–darcy model
Numerical Methods for Partial Differential Equations
2013
99
40
Solutions of time‐fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space
Numerical Methods for Partial Differential Equations
2018
98
41
An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation
Numerical Methods for Partial Differential Equations
2001
96
42
Numerical algorithm for solving time‐fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions
Numerical Methods for Partial Differential Equations
2018
95
43
An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh
Numerical Methods for Partial Differential Equations
1995
94
44
On the convergence of the multi-point flux approximation O-method: Numerical experiments for discontinuous permeability
Numerical Methods for Partial Differential Equations
2005
92
45
Numerical solution of linear and nonlinear partial differential equations using the peridynamic differential operator
Numerical Methods for Partial Differential Equations
2017
92
46
Error estimates for a finite volume element method for parabolic equations in convex polygonal domains
Numerical Methods for Partial Differential Equations
2004
89
47
Nonintrusive reduced‐order modeling of parametrized time‐dependent partial differential equations
Numerical Methods for Partial Differential Equations
2013
87
48
Variational multiscale proper orthogonal decomposition: Navier‐stokes equations
Numerical Methods for Partial Differential Equations
2014
85
49
Finite difference discretization of the Benjamin-Bona-Mahony-Burgers equation
Numerical Methods for Partial Differential Equations
2008
84
50
Unified finite element discretizations of coupled Darcy–Stokes flow
Numerical Methods for Partial Differential Equations
2009
84
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