Convergence analysis of the Hopmoc method
DOI10.1080/00207160701870860zbMath1172.65058OpenAlexW2009435715MaRDI QIDQ5323213
S. R. de Oliveira, Mauricio Kischinhevsky, Sanderson L. Gonzaga de Oliveira
Publication date: 23 July 2009
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160701870860
convergenceconvection-diffusion equationnumerical examplesmodified method of characteristicsalternating direction type methodsHopmocHopscotch
Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)
Cites Work
- Alternating direction methods for three space variables
- Unsteady viscous flow around a circular cylinder found by the Hopscotch scheme on a vector processing machine
- Linear stability of the hopscotch scheme
- A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
- Alternating direction iteration for mildly nonlinear elliptic difference equations
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
- Nonsymmetric Difference Equations
- Hopscotch: a Fast Second-order Partial Differential Equation Solver
This page was built for publication: Convergence analysis of the Hopmoc method
