抛物问题的伽辽金有限元方法-25-第2版_PDF下载[91MB-百度云]托姆

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《抛物问题的伽辽金有限元方法(第2版)(英文)》适用于数学专业的研究生、以及更高层次的科研人员和数学工作者。

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本书特色

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《抛物问题的伽辽金有限元方法(第2版)》由(瑞典)托姆著，主要内容：the
basis of this work is my earlier text entitled galerkin finite
element methods for parabolic problems, springer lecture notes in
mathematics, no. 1054, from 1984. this has been out of print for
several years, and i have felt a need and been encouraged by
colleagues and friends to publish an updated version. in doing so i
have included most of the contents of the 14 chapters of the
earlier work in an updated and revised form, and added four new
chapters, on semigroup methods, on multistep schemes, on incomplete
iterative solution of the linear algebraic systems at the time
levels, and on semilineax equations. the old chapters on fully
discrete methods have been reworked by first treating the time
discretization of an abstract differential equation in a hilbert
space setting, and the chapter on the discontinuous galerkin method
has been completely rewritten.

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prefacepreface to the second edition1. the standard galerkin method2. methods based on more general approximations of the elliptic problem3. nonsmooth data error estimates4. more general parabolic equations5. negative norm estimates and superconvergence6. maximum-norm estimates and analytic semigroups7. single step fully discrete schemes for the homogeneous equation8. single step fully discrete schemes for the inhomogeneous equation9. single step methods and rational approximations of semigroups10. multistep backward difference methods11. incomplete iterative solution of the algebraic systems at the time levels12. the discontinuous galerkin time stepping method13. a nonlinear problem14. semilinear parabolic equations15. the method of lumped masses16. the h1 and h-1 methods17. a mixed method18. a singular problem19. problems in polygonal domains20. time discretization by laplace transformation and quadraturereferencesindex