10 research outputs found
Error estimates for mixed finite element approximations of the viscoelasticity wave equation
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Finite element methods for parabolic and hyperbolic partial integro-differential equations
No full textA nonconventional Eulerian-Lagrangian single-node collocation method with Hermite polynomials for unsteady-state advection-diffusion equations
No full textAn Eulerian-Lagrangian single-node collocation method for transient advection-diffusion equations in multiple space dimensions
No full textWe developed a nonconventional Eulerian-Lagrangian single-node collocation method for transient advection-diffusion transport partial differential equations in multiple space dimensions. This method greatly reduces the number of unknowns in conventional collocation method, generates accurate numerical solutions, and allows large time steps to be used in numerical simulations. We perform numerical experiments to show the strong potential of the method. © 2003 Wiley Periodicals, Inc
Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator
No full textTwo-grid methods for expanded mixed finite element approximations of semi-linear parabolic integro-differential equations
No full textAnalysis of alternating direction collocation methods for parabolic and hyperbolic problems in two space variables
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