Applied Numerical Mathematics

Title Publication Date Language Citations
Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation2006/05/01English54
Space–time discontinuous Galerkin method for advection–diffusion problems on time-dependent domains2006/12/01English53
Parallel iterative finite element algorithms based on full domain partition for the stationary Navier–Stokes equations2010/07/01English53
Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method2019/03/01English53
Higher order pseudospectral differentiation matrices2005/12/01English52
Method of lines and direct discretization: a comparison for linear advection1994/02/01English52
Multiple grid and Osher's scheme for the efficient solution of the steady Euler equations1986/12/01English52
Quasi-orthogonality with applications to some families of classical orthogonal polynomials2004/02/01English52
Quadratic convergence for cell-centered grids1988/07/01English52
Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis2017/09/01English52
Performances and limitations of the diffusive approximation of the 2-d shallow water equations for flood simulation in urban and rural areas2017/06/01English51
Numerical treatment of fractional heat equations2008/08/01English51
A RBF-WENO finite volume method for hyperbolic conservation laws with the monotone polynomial interpolation method2017/02/01English51
A posteriori error estimates for the Steklov eigenvalue problem2008/05/01English51
Superlinearly convergent algorithms for the two-dimensional space–time Caputo–Riesz fractional diffusion equation2013/08/01English51
Regularized linear schemes for the molecular beam epitaxy model with slope selection2018/06/01English50
The Taylor wavelets method for solving the initial and boundary value problems of Bratu-type equations2018/06/01English50
The PRP conjugate gradient algorithm with a modified WWP line search and its application in the image restoration problems2020/06/01English50
The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: Numerical analysis2019/06/01English50
Galerkin finite element method for the nonlinear fractional Ginzburg–Landau equation2017/08/01English50
A spectral framework for fractional variational problems based on fractional Jacobi functions2018/10/01English50
Implicitly linear collocation methods for nonlinear Volterra equations1992/04/01English49
New challenges in dynamic load balancing2005/02/01English49
Stability of two IMEX methods, CNLF and BDF2-AB2, for uncoupling systems of evolution equations2012/02/01English49
Simultaneous control of production, preventive and corrective maintenance rates of a failure-prone manufacturing system2008/02/01English48
An efficient approach for the numerical solution of the Monge–Ampère equation2011/03/01English48
Fractional-order Bernoulli functions and their applications in solving fractional Fredholem–Volterra integro-differential equations2017/12/01English48
Implicit–explicit BDF methods for the Kuramoto–Sivashinsky equation2004/11/01English48
Stable and accurate boundary treatments for compact, high-order finite-difference schemes1993/05/01English48
Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method2017/04/01English47