On convergence and performance of iterative methods with fourth-order compact schemes

From MaRDI portal
Publication:4381929

DOI<263::AID-NUM8>3.0.CO;2-M 10.1002/(SICI)1098-2426(199803)14:2<263::AID-NUM8>3.0.CO;2-MzbMath0903.65080OpenAlexW2147339995MaRDI QIDQ4381929

Jun Zhang

Publication date: 16 December 1998

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(199803)14:2<263::aid-num8>3.0.co;2-m




Related Items

Compact finite difference method for American option pricingPartial semi-coarsening multigrid method based on the HOC scheme on nonuniform grids for the convection–diffusion problemsA high order finite difference method with Richardson extrapolation for 3D convection diffusion equationAn efficient box-scheme for convection-diffusion equations with sharp contrast in the diffusion coefficientsHigh-order compact exponential finite difference methods for convection-diffusion type problemsCompact schemes for acoustics in the frequency domainHigh accuracy compact difference and multigrid methods for two-dimensional time-dependent nonlinear advection-diffusion-reaction problemsNine-point compact sixth-order approximation for two-dimensional nonlinear elliptic partial differential equations: application to bi- and tri-harmonic boundary value problemsNumerical simulation of 2D square driven cavity using fourth-order compact finite difference schemesMixed two-grid finite difference methods for solving one-dimensional and two-dimensional Fitzhugh-Nagumo equationsOperator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equationsHigh-order compact difference scheme and multigrid method for solving the 2D elliptic problemsA New Fourth-Order Compact Off-Step Discretization for the System of 2D Nonlinear Elliptic Partial Differential EquationsA new compact high order off-step discretization for the system of 2D quasi-linear elliptic partial differential equationsHigh accuracy multigrid solution of the 3D convection-diffusion equationExtension of high-order compact schemes to time-dependent problemsMultigrid method based on the transformation-free HOC scheme on nonuniform grids for 2D convection diffusion problemsA new fourth order discretization for singularly perturbed two dimensional nonlinear elliptic boundary value problemsHigh accuracy stable numerical solution of 1D microscale heat transport equationHigh accuracy iterative solution of convection diffusion equation with boundary layers on nonuniform gridsNumerical solution of nonlinear advection diffusion reaction equation using high-order compact difference methodA multigrid compact finite difference method for solving the one-dimensional nonlinear sine-Gordon equationMultigrid method and fourth-order compact difference discretization scheme with unequal meshsizes for 3D Poisson equationA new compact off-step discretization for the system of 2D quasi-linear elliptic equations on unequal meshIntegrated fast and high-accuracy computation of convection diffusion equations using multiscale multigrid methodCompact half step approximation in exponential form for the system of 2D second-order quasi-linear elliptic partial differential equationsAcceleration and stabilization properties of minimal residual smoothing technique in multigridOn the Fourth-Order Accurate Compact ADI Scheme for Solving the Unsteady Nonlinear Coupled Burgers' EquationsHigh-resolution half-step compact numerical approximation for 2D quasilinear elliptic equations in vector form and the estimates of normal derivatives on an irrational domain



Cites Work