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papers
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Top Articles

#TitleJournalYearCitations
1A fully discrete difference scheme for a diffusion-wave systemApplied Numerical Mathematics2006918
2Implicit-explicit Runge-Kutta methods for time-dependent partial differential equationsApplied Numerical Mathematics1997854
3Finite difference approximations for two-sided space-fractional partial differential equationsApplied Numerical Mathematics2006731
4BoomerAMG: A parallel algebraic multigrid solver and preconditionerApplied Numerical Mathematics2002642
5Numerical solution of problems on unbounded domains. A reviewApplied Numerical Mathematics1998507
6Additive Runge–Kutta schemes for convection–diffusion–reaction equationsApplied Numerical Mathematics2003507
7Krylov subspace techniques for reduced-order modeling of large-scale dynamical systemsApplied Numerical Mathematics2002488
8Solving DDEs in MatlabApplied Numerical Mathematics2001450
9Low-storage, explicit Runge–Kutta schemes for the compressible Navier–Stokes equationsApplied Numerical Mathematics2000445
10Several new numerical methods for compressible shear-layer simulationsApplied Numerical Mathematics1994432
11Parallel, adaptive finite element methods for conservation lawsApplied Numerical Mathematics1994381
12Mathematical and numerical models for coupling surface and groundwater flowsApplied Numerical Mathematics2002356
13A study of orthonormal multi-waveletsApplied Numerical Mathematics1996337
14Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation lawsApplied Numerical Mathematics2004330
15Restoring particle consistency in smoothed particle hydrodynamicsApplied Numerical Mathematics2006308
16Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche methodApplied Numerical Mathematics2012301
17Mathematical models and software tools for the glucose-insulin regulatory system and diabetes: an overviewApplied Numerical Mathematics2006299
18Absorbing PML boundary layers for wave-like equationsApplied Numerical Mathematics1998276
19Some results on uniformly high-order accurate essentially nonoscillatory schemesApplied Numerical Mathematics1986238
20Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problemsApplied Numerical Mathematics1996236
21The immersed interface method using a finite element formulationApplied Numerical Mathematics1998225
22Review of preconditioning methods for fluid dynamicsApplied Numerical Mathematics1993220
23A comparative study of sparse approximate inverse preconditionersApplied Numerical Mathematics1999208
24High order Runge-Kutta methods on manifoldsApplied Numerical Mathematics1999201
25Analysis and implementation of TR-BDF2Applied Numerical Mathematics1996199
26On a class of preconditioners for solving the Helmholtz equationApplied Numerical Mathematics2004195
27An algebraic theory for primal and dual substructuring methods by constraintsApplied Numerical Mathematics2005192
28Numerical methods and software for sensitivity analysis of differential-algebraic systemsApplied Numerical Mathematics1996186
29Efficient sensitivity analysis of large-scale differential-algebraic systemsApplied Numerical Mathematics1997186
30A finite difference scheme for partial integro-differential equations with a weakly singular kernelApplied Numerical Mathematics1993167
31A history of Runge-Kutta methodsApplied Numerical Mathematics1996167
32High strong order explicit Runge-Kutta methods for stochastic ordinary differential equationsApplied Numerical Mathematics1996166
33On large time-stepping methods for the Cahn–Hilliard equationApplied Numerical Mathematics2007166
34Validated solutions of initial value problems for parametric ODEsApplied Numerical Mathematics2007161
35Discrete multi-resolution analysis and generalized waveletsApplied Numerical Mathematics1993159
36Spectral multi-domain for large-scale fluid dynamic simulationsApplied Numerical Mathematics1989155
37On the rotation and skew-symmetric forms for incompressible flow simulationsApplied Numerical Mathematics1991154
38Global FOM and GMRES algorithms for matrix equationsApplied Numerical Mathematics1999153
39New challenges in dynamic load balancingApplied Numerical Mathematics2005153
40The effect of the formulation of nonlinear terms on aliasing errors in spectral methodsApplied Numerical Mathematics1996150
41A formulation of asymptotic and exact boundary conditions using local operatorsApplied Numerical Mathematics1998147
42Geometrical image segmentation by the Allen–Cahn equationApplied Numerical Mathematics2004147
43Adaptive radial basis function methods for time dependent partial differential equationsApplied Numerical Mathematics2005144
44A cut finite element method for a Stokes interface problemApplied Numerical Mathematics2014144
45Optimal a priori estimates for higher order finite elements for elliptic interface problemsApplied Numerical Mathematics2010143
46An improved collocation method for multi-dimensional space–time variable-order fractional Schrödinger equationsApplied Numerical Mathematics2017140
47A survey of dynamically-adaptive grids in the numerical solution of partial differential equationsApplied Numerical Mathematics1985139
48Explicit Runge-Kutta methods for parabolic partial differential equationsApplied Numerical Mathematics1996139
49Optimization as a function of the phase-lag order of nonlinear explicit two-step P-stable method for linear periodic IVPsApplied Numerical Mathematics2009139
50A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equationApplied Numerical Mathematics2014139