Synopsis
1. The Standard Galerkin Method.- 2. Methods Based on More General Approximations of the Elliptic Problem.- 3. Nonsmooth Data Error Estimates.- 4. More General Parabolic Equations.- 5. Maximum-Norm Stability and Error Estimates.- 6. Negative Norm Estimates and Superconvergence.- 7. Single Step Fully Discrete Schemes for the Homogeneous Equation.- 8. Single Step Methods and Rational Approximations of Semigroups.- 9. Single Step Fully Discrete Schemes for the Inhomogeneous Equation.- 10. Multistep Backward Difference Methods.- 11. Incomplete Iterative Solution of the Algebraic Systems at the Time Levels.- 12. The Discontinuous Galerkin Time Stepping Method.- 13. A Nonlinear Problem.- 14. Semilinear Parabolic Equations.- 15. The Method of Lumped Masses.- 16. The H1 and H-1 Methods.- 17. A Mixed Method.- 18. A Singular Problem.- References.
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