Applied Numerical Mathematics

Title Publication Date Language Citations
A fully discrete difference scheme for a diffusion-wave system2006/02/01English872
Finite difference approximations for two-sided space-fractional partial differential equations2006/01/01English641
Several new numerical methods for compressible shear-layer simulations1994/06/01English330
Restoring particle consistency in smoothed particle hydrodynamics2006/01/01English272
Parallel, adaptive finite element methods for conservation laws1994/04/01English266
Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws2004/03/01English265
Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method2012/04/01English260
A study of orthonormal multi-wavelets1996/03/01English202
Mathematical models and software tools for the glucose-insulin regulatory system and diabetes: an overview2006/03/01English179
Some results on uniformly high-order accurate essentially nonoscillatory schemes1986/10/01English157
On large time-stepping methods for the Cahn–Hilliard equation2007/05/01English156
Analysis and implementation of TR-BDF21996/02/01English153
On a class of preconditioners for solving the Helmholtz equation2004/09/01English145
A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation2014/04/01English136
Optimization as a function of the phase-lag order of nonlinear explicit two-step P-stable method for linear periodic IVPs2009/10/01English136
Review of preconditioning methods for fluid dynamics1993/05/01English135
An improved collocation method for multi-dimensional space–time variable-order fractional Schrödinger equations2017/01/01English134
A cut finite element method for a Stokes interface problem2014/11/01English133
A history of Runge-Kutta methods1996/03/01English133
Numerical methods and software for sensitivity analysis of differential-algebraic systems1996/02/01English128
An algebraic theory for primal and dual substructuring methods by constraints2005/07/01English128
Optimal a priori estimates for higher order finite elements for elliptic interface problems2010/01/01English127
Geometrical image segmentation by the Allen–Cahn equation2004/11/01English126
A weighted finite difference method for the fractional diffusion equation based on the Riemann–Liouville derivative2015/04/01English125
Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives2020/10/01English122
Meshless Local Petrov–Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity2009/05/01English121
Adaptive radial basis function methods for time dependent partial differential equations2005/06/01English119
A meshless based method for solution of integral equations2010/03/01English117
A stabilized finite element method based on local polynomial pressure projection for the stationary Navier–Stokes equations2008/10/01English116
The effect of the formulation of nonlinear terms on aliasing errors in spectral methods1996/07/01English116