Numerical Solution of Partial Differential Equations

DOI10.1017/CBO9780511812248zbMath1126.65077OpenAlexW1635779336MaRDI QIDQ4663399

Publication date: 30 March 2005

Full work available at URL: https://doi.org/10.1017/cbo9780511812248

stability convergence heat equation consistency textbook convection-diffusion problems finite element methods elliptic equations multigrid finite difference methods parabolic equations conjugate gradient methods hyperbolic equations exercises introductory textbook symplectic integration schemes

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01)

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