A numerical method for solving the problem $u_t - \Delta f (u) = 0$
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Publication:3862356
DOI10.1051/m2an/1979130402971zbMath0426.65052OpenAlexW2587143772MaRDI QIDQ3862356
Haim Brezis, Joel C. W. Rogers, Alan E. Berger
Publication date: 1979
Published in: RAIRO. Analyse numérique (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/193344
Semigroups of nonlinear operators (47H20) 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) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)
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Cites Work
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- On a class of similarity solutions of the porous media equation
- On a class of similarity solutions of the porous media equation. II
- Semi-linear second-order elliptic equations in \(L^1\)
- Convergence and approximation of semigroups of nonlinear operators in Banach spaces
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- A Method for Calculating Solutions of Parabolic Equations with a Free Boundary
- The Alternating Phase Truncation Method for Numerical Solution of a Stefan Problem
- Numerical Solution of a Diffusion Consumption Problem with a Free Boundary
- An Error Estimate for the Truncation Method for the Solution of Parabolic Obstacle Variational Inequalities
- Some results on the multi-phase stefan problem
- Regularity Propeties of Flows Through Porous Media
- Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
