Titlebook: Numerical Models for Differential Problems; Alfio Quarteroni Textbook 20173rd edition Springer International Publishing, AG 2017 PDE.analy

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書目名稱Numerical Models for Differential Problems影響因子(影響力)




書目名稱Numerical Models for Differential Problems影響因子(影響力)學(xué)科排名




書目名稱Numerical Models for Differential Problems網(wǎng)絡(luò)公開度




書目名稱Numerical Models for Differential Problems網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Numerical Models for Differential Problems被引頻次




書目名稱Numerical Models for Differential Problems被引頻次學(xué)科排名




書目名稱Numerical Models for Differential Problems年度引用




書目名稱Numerical Models for Differential Problems年度引用學(xué)科排名




書目名稱Numerical Models for Differential Problems讀者反饋




書目名稱Numerical Models for Differential Problems讀者反饋學(xué)科排名

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A brief survey of partial differential equations,The purpose of this chapter is to recall the basic concepts related to partial differential equations (PDEs, in short). For a wider coverage see [RR04, Eva98, LM68, Sal08].

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Elements of functional analysis,In this chapter we recall a number of concepts used extensively in this textbook: functionals and bilinear forms, distributions, Sobolev spaces, Lp spaces. For a more indepth reading, the reader can refer to e.g. [Sal08],[Yos74], [Bre86], [LM68], [Ada75].

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Elliptic equations,This chapter is devoted to the introduction of elliptic problems and to their weak formulation. Although our introduction is quite basic, the complete novice to functional analysis is invited to consult Chapter 2 before reading it.

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INTER

Parabolic equations,In this chapter we consider parabolic equations of the form . where . is a domain of . is a given function, . is a generic elliptic operator acting on the unknown ..

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Algorithms for the solution of linear systems,This chapter serves as a quick and elementary introduction of some of the basic algorithms that are used to solve a system of linear algebraic equations. For a more thorough presentation we advise the reader to refer to, e.g., [QSS07, Chaps. 3 and 4], [Saa96] and [vdV03].