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#	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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