Applied Numerical Mathematics

Title Publication Date Language Citations
A moving collocation method for solving time dependent partial differential equations1996/02/01English47
An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions2005/03/01English47
Navier–Stokes/Forchheimer models for filtration through porous media2013/10/01English47
Spectral element simulations of laminar and turbulent flows in complex geometries1989/12/01English47
Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations2020/10/01English47
A p-th degree immersed finite element for boundary value problems with discontinuous coefficients2009/06/01English47
Numerical solution of two asset jump diffusion models for option valuation2008/06/01English47
The Harvard open ocean model: calibration and application to dynamical process, forecasting, and data assimilation studies1987/05/01English47
Identification of the zeroth-order coefficient in a time fractional diffusion equation2017/01/01English47
On the necessity of negative coefficients for operator splitting schemes of order higher than two2005/06/01English46
Convergence to steady state of solutions of Burgers' equation1986/10/01English46
IMEX schemes for pricing options under jump–diffusion models2014/10/01English46
Numerical simulation of near-critical fluids2004/12/01English46
Convergence rates of derivatives of a family of barycentric rational interpolants2011/09/01English46
On some optimization techniques in image reconstruction from projections1987/10/01English45
Numerical methods for the generalized Fisher–Kolmogorov–Petrovskii–Piskunov equation2007/01/01English45
Numerical simulation of a linear stochastic oscillator with additive noise2004/10/01English45
Runge–Kutta methods adapted to the numerical integration of oscillatory problems2004/09/01English45
A second order operator splitting numerical scheme for the “good” Boussinesq equation2017/09/01English44
Structure-preserving numerical methods for the fractional Schrödinger equation2018/07/01English44
Sensitivity analysis of linearly-implicit differential–algebraic systems by one-step extrapolation2004/01/01English44
A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries2005/08/01English44
Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions2004/08/01English44
Legendre–Gauss collocation method for initial value problems of second order ordinary differential equations2009/06/01English44
An explicit finite element method for the wave equation1994/12/01English44
Adaptive mesh generation for curved domains2005/02/01English43
A Hamilton–Jacobi–Bellman approach to optimal trade execution2011/02/01English43
Artificial viscosity for particle methods1985/05/01English43
Observations on an adaptive moving grid method for one-dimensional systems of partial differential equations1987/08/01English43
Modulus-based matrix splitting algorithms for the quasi-complementarity problems2018/10/01English42