Convergence in the maximum norm of ADI-type methods for parabolic problems
DOI10.1016/j.apnum.2021.09.007OpenAlexW3200724851MaRDI QIDQ2238833
S. González-Pinto, D. Hernández-Abreu
Publication date: 2 November 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.12229
stabilityconvergenceapproximate matrix factorizationtime integrationalternating direction implicit schemesmaximum normparabolic PDEspower boundednessW-methods
Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx)
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Cites Work
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- Alternating direction methods for three space variables
- Unconditional stability of second-order ADI schemes applied to multi-dimensional diffusion equations with mixed derivative terms
- Estimates for the inverse of tridiagonal matrices arising in boundary- value problems
- Stability of approximate factorization with \(\theta\)-methods
- Sharpening the estimate of the stability constant in the maximum-norm of the Crank-Nicolson scheme for the one-dimensional heat equation
- Power boundedness in the maximum norm of stability matrices for ADI methods
- AMFR-W-methods for parabolic problems with mixed derivates. Applications to the Heston model
- Modified Douglas splitting methods for reaction-diffusion equations
- A note on stability of the Douglas splitting method
- AMF-type W-methods for Parabolic Problems with Mixed Derivatives
- Convergence in $\ell_2$ and $\ell_\infty$ Norm of One-Stage AMF-W-Methods for Parabolic Problems
- On Multistep Stabilizing Correction Splitting Methods with Applications to the Heston Model
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