Applied Numerical Mathematics

Title Publication Date Language Citations
Efficient techniques for the second-order parabolic equation subject to nonlocal specifications2005/01/01English115
Exponential Runge–Kutta methods for parabolic problems2005/05/01English113
On the low-rank approximation by the pivoted Cholesky decomposition2012/04/01English112
Improved SPH methods for simulating free surface flows of viscous fluids2009/02/01English112
New methods for oscillatory systems based on ARKN methods2006/08/01English111
Validated solutions of initial value problems for parametric ODEs2007/10/01English110
Multisymplectic box schemes and the Korteweg–de Vries equation2004/03/01English106
Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales2008/03/01English106
Spectral gradient projection method for monotone nonlinear equations with convex constraints2009/10/01English105
On the rotation and skew-symmetric forms for incompressible flow simulations1991/01/01English101
A survey of dynamically-adaptive grids in the numerical solution of partial differential equations1985/01/01English101
Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations2011/04/01English99
Discontinuous Galerkin methods for coupled flow and reactive transport problems2005/02/01English98
Numerical valuation of options with jumps in the underlying2005/04/01English98
Numerical treatment of Powell–Eyring fluid flow using Method of Satisfaction of Asymptotic Boundary Conditions (MSABC)2009/10/01English97
Block triangular preconditioners for symmetric saddle-point problems2004/04/01English96
Error estimates for the moving least-square approximation and the element-free Galerkin method in n-dimensional spaces2016/01/01English91
Meshless Galerkin algorithms for boundary integral equations with moving least square approximations2011/12/01English89
Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials2008/08/01English85
Error estimates for the finite point method2008/06/01English83
An estimator for the diagonal of a matrix2007/11/01English83
A moving least square reproducing polynomial meshless method2013/07/01English82
Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation2013/06/01English80
Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations2016/08/01English79
A new Jacobi rational–Gauss collocation method for numerical solution of generalized pantograph equations2014/03/01English79
A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions2008/03/01English76
Direct Meshless Local Petrov–Galerkin (DMLPG) method: A generalized MLS approximation2013/06/01English76
A dimensional split preconditioner for Stokes and linearized Navier–Stokes equations2011/01/01English76
A conjugate gradient algorithm for large-scale nonlinear equations and image restoration problems2020/01/01English75
A class of discontinuous Petrov–Galerkin methods. Part III: Adaptivity2012/04/01English74