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Applied Numerical Mathematics
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Top Articles
Applied Numerical Mathematics
2.5
(top 20%)
impact factor
4.4K
(top 5%)
papers
74.0K
(top 5%)
citations
92
(top 5%)
h
-index
2.5
(top 20%)
impact factor
5.1K
all documents
77.6K
doc citations
152
(top 5%)
g
-index
Top Articles
#
Title
Journal
Year
Citations
1
A fully discrete difference scheme for a diffusion-wave system
Applied Numerical Mathematics
2006
918
2
Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
Applied Numerical Mathematics
1997
854
3
Finite difference approximations for two-sided space-fractional partial differential equations
Applied Numerical Mathematics
2006
731
4
BoomerAMG: A parallel algebraic multigrid solver and preconditioner
Applied Numerical Mathematics
2002
642
5
Numerical solution of problems on unbounded domains. A review
Applied Numerical Mathematics
1998
507
6
Additive Runge–Kutta schemes for convection–diffusion–reaction equations
Applied Numerical Mathematics
2003
507
7
Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems
Applied Numerical Mathematics
2002
488
8
Solving DDEs in Matlab
Applied Numerical Mathematics
2001
450
9
Low-storage, explicit Runge–Kutta schemes for the compressible Navier–Stokes equations
Applied Numerical Mathematics
2000
445
10
Several new numerical methods for compressible shear-layer simulations
Applied Numerical Mathematics
1994
432
11
Parallel, adaptive finite element methods for conservation laws
Applied Numerical Mathematics
1994
381
12
Mathematical and numerical models for coupling surface and groundwater flows
Applied Numerical Mathematics
2002
356
13
A study of orthonormal multi-wavelets
Applied Numerical Mathematics
1996
337
14
Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws
Applied Numerical Mathematics
2004
330
15
Restoring particle consistency in smoothed particle hydrodynamics
Applied Numerical Mathematics
2006
308
16
Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method
Applied Numerical Mathematics
2012
301
17
Mathematical models and software tools for the glucose-insulin regulatory system and diabetes: an overview
Applied Numerical Mathematics
2006
299
18
Absorbing PML boundary layers for wave-like equations
Applied Numerical Mathematics
1998
276
19
Some results on uniformly high-order accurate essentially nonoscillatory schemes
Applied Numerical Mathematics
1986
238
20
Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems
Applied Numerical Mathematics
1996
236
21
The immersed interface method using a finite element formulation
Applied Numerical Mathematics
1998
225
22
Review of preconditioning methods for fluid dynamics
Applied Numerical Mathematics
1993
220
23
A comparative study of sparse approximate inverse preconditioners
Applied Numerical Mathematics
1999
208
24
High order Runge-Kutta methods on manifolds
Applied Numerical Mathematics
1999
201
25
Analysis and implementation of TR-BDF2
Applied Numerical Mathematics
1996
199
26
On a class of preconditioners for solving the Helmholtz equation
Applied Numerical Mathematics
2004
195
27
An algebraic theory for primal and dual substructuring methods by constraints
Applied Numerical Mathematics
2005
192
28
Numerical methods and software for sensitivity analysis of differential-algebraic systems
Applied Numerical Mathematics
1996
186
29
Efficient sensitivity analysis of large-scale differential-algebraic systems
Applied Numerical Mathematics
1997
186
30
A finite difference scheme for partial integro-differential equations with a weakly singular kernel
Applied Numerical Mathematics
1993
167
31
A history of Runge-Kutta methods
Applied Numerical Mathematics
1996
167
32
High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations
Applied Numerical Mathematics
1996
166
33
On large time-stepping methods for the Cahn–Hilliard equation
Applied Numerical Mathematics
2007
166
34
Validated solutions of initial value problems for parametric ODEs
Applied Numerical Mathematics
2007
161
35
Discrete multi-resolution analysis and generalized wavelets
Applied Numerical Mathematics
1993
159
36
Spectral multi-domain for large-scale fluid dynamic simulations
Applied Numerical Mathematics
1989
155
37
On the rotation and skew-symmetric forms for incompressible flow simulations
Applied Numerical Mathematics
1991
154
38
Global FOM and GMRES algorithms for matrix equations
Applied Numerical Mathematics
1999
153
39
New challenges in dynamic load balancing
Applied Numerical Mathematics
2005
153
40
The effect of the formulation of nonlinear terms on aliasing errors in spectral methods
Applied Numerical Mathematics
1996
150
41
A formulation of asymptotic and exact boundary conditions using local operators
Applied Numerical Mathematics
1998
147
42
Geometrical image segmentation by the Allen–Cahn equation
Applied Numerical Mathematics
2004
147
43
Adaptive radial basis function methods for time dependent partial differential equations
Applied Numerical Mathematics
2005
144
44
A cut finite element method for a Stokes interface problem
Applied Numerical Mathematics
2014
144
45
Optimal a priori estimates for higher order finite elements for elliptic interface problems
Applied Numerical Mathematics
2010
143
46
An improved collocation method for multi-dimensional space–time variable-order fractional Schrödinger equations
Applied Numerical Mathematics
2017
140
47
A survey of dynamically-adaptive grids in the numerical solution of partial differential equations
Applied Numerical Mathematics
1985
139
48
Explicit Runge-Kutta methods for parabolic partial differential equations
Applied Numerical Mathematics
1996
139
49
Optimization as a function of the phase-lag order of nonlinear explicit two-step P-stable method for linear periodic IVPs
Applied Numerical Mathematics
2009
139
50
A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation
Applied Numerical Mathematics
2014
139
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