Applied Numerical Mathematics

Title Publication Date Language Citations
On the numerical inversion of the Laplace transform of certain holomorphic mappings2004/11/01English74
Multiscale finite element methods for porous media flows and their applications2007/05/01English71
Optimal implicit strong stability preserving Runge–Kutta methods2009/02/01English71
A high accuracy numerical method and its convergence for time-fractional Black-Scholes equation governing European options2020/05/01English70
Semi-implicit projection methods for incompressible flow based on spectral deferred corrections2004/03/01English70
Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems2019/11/01English69
Software for simplified Lanczos and QMR algorithms1995/12/01English69
Anisotropic mesh adaptation in computational fluid dynamics: Application to the advection–diffusion–reaction and the Stokes problems2004/12/01English69
Stability of ADI schemes applied to convection–diffusion equations with mixed derivative terms2007/01/01English69
Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature2020/02/01English68
Collocation methods for terminal value problems of tempered fractional differential equations2020/10/01English68
Unconditional stability of second-order ADI schemes applied to multi-dimensional diffusion equations with mixed derivative terms2009/03/01English67
Fourierization of the Legendre–Galerkin method and a new space–time spectral method2007/05/01English67
Higher order B-spline collocation at the Greville abscissae2005/01/01English66
Generalized Jacobi polynomials/functions and their applications2009/05/01English66
A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations2007/03/01English66
A finite volume spectral element method for solving magnetohydrodynamic (MHD) equations2011/01/01English65
Pseudospectral approximation of eigenvalues of derivative operators with non-local boundary conditions2006/03/01English65
Spectral multi-domain for large-scale fluid dynamic simulations1989/12/01English65
Adaptive continuation algorithms with application to combustion problems1989/07/01English64
Laguerre matrix polynomials and systems of second-order differential equations1994/08/01English63
Carleman estimates for the regularization of ill-posed Cauchy problems2015/08/01English63
On HSS-based iteration methods for weakly nonlinear systems2009/12/01English62
Some reduced finite difference schemes based on a proper orthogonal decomposition technique for parabolic equations2010/01/01English62
Multistep collocation methods for Volterra Integral Equations2009/08/01English62
Strong stability of singly-diagonally-implicit Runge–Kutta methods2008/11/01English62
Coupling Stokes and Darcy equations2008/05/01English62
Error estimates for the interpolating moving least-squares method in n -dimensional space2015/12/01English62
Numerical analysis of Carreau fluid flow for generalized Fourier's and Fick's laws2019/10/01English61
A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives2021/03/01English61