Alternating Direction Methods for Nonlinear Time-Dependent Problems
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Publication:4140324
DOI10.1137/0714020zbMath0365.65064OpenAlexW2065775687MaRDI QIDQ4140324
Publication date: 1977
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0714020
Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) First-order nonlinear hyperbolic equations (35L60) Finite difference methods for boundary value problems involving PDEs (65N06)
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ADI schemes for higher-order nonlinear diffusion equations. ⋮ PARALLEL NUMERICAL METHODS FOR THE SOLUTION OF NONLINEAR PARABOLIC SYSTEMS ⋮ Efficient, linearized high‐order compact difference schemes for nonlinear parabolic equations I: One‐dimensional problem ⋮ A finite element first-order equation formulation for the small- disturbance transonic flow problem ⋮ Compact alternating direction implicit method for two-dimensional time fractional diffusion equation ⋮ Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation ⋮ Numerical solution of the atmospheric diffusion equation for chemically reacting flows ⋮ High order compact alternating direction implicit method for the generalized sine-Gordon equation ⋮ Stability results for linearly implicit fractional step discretizations of nonlinear time dependent parabolic problems ⋮ Stability of invariant regions for an alternating direction method for systems of nonlinear reaction-diffusion equations ⋮ Invariant regions and asymptotic behaviour for the numerical solution of reaction-diffusion systems by a class of alternating direction methods
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