派博傳思國際中心

標(biāo)題: Titlebook: Numerical Analysis; Roger Temam Book 1973 D. Reidel Publishing Company, Dordrecht, Holland 1973 Approximation.calculus.finite element meth [打印本頁]

作者: bile-acids 時(shí)間: 2025-3-21 17:27
書目名稱Numerical Analysis影響因子(影響力)

書目名稱Numerical Analysis影響因子(影響力)學(xué)科排名

書目名稱Numerical Analysis網(wǎng)絡(luò)公開度

書目名稱Numerical Analysis網(wǎng)絡(luò)公開度學(xué)科排名

書目名稱Numerical Analysis被引頻次

書目名稱Numerical Analysis被引頻次學(xué)科排名

書目名稱Numerical Analysis年度引用

書目名稱Numerical Analysis年度引用學(xué)科排名

書目名稱Numerical Analysis讀者反饋

書目名稱Numerical Analysis讀者反饋學(xué)科排名

作者: 使人入神 時(shí)間: 2025-3-21 22:50
comparable to what is taught in the first years of graduate studies. This means a good knowledge of Hilbert spaces, elements of measure theory and theory of distributions. The subject matter of the book covers the usual content of a first course on Numerical Analysis of partial differential equations.978-94-010-2567-6978-94-010-2565-2

作者: 含糊 時(shí)間: 2025-3-22 03:12

作者: FLAIL 時(shí)間: 2025-3-22 08:17
Approximation of Some Function Spaces by Finite Element Methodsstep functions, but functions defined on a set of .-simplices contained in Ω Inside the simplex the approximating function is a simple function, a linear function in the simplest case, or some type of polynomial function of restricted degree in more refined situations. We will only consider approxim

作者: Offensive 時(shí)間: 2025-3-22 11:24

作者: 粘 時(shí)間: 2025-3-22 13:59
The Projection TheoremIn this chapter we prove a very simple theorem, known as the projection theorem or Lax-Milgram theorem. It implies existence and uniqueness of ‘weak’ solutions for certain classes of linear elliptic problems. In Part II, two applications are developed (cf. Chapter 7; Sections 11.1 and 12.1).

作者: ARY 時(shí)間: 2025-3-22 19:19
The Method of GalerkinThe aim of the following chapters is to study the approximation of the solution of problem (1.2). To begin with, we present here the method of Galerkin and we will see how this leads to an approximate solution of Equation (1.2).

作者: ACRID 時(shí)間: 2025-3-22 22:15
Approximation of Linear Variational ProblemsWe study here the approximate solution of Equation (1.2) in a general setting, that covers the method of Galerkin, which we have already seen, as well as the finite difference and finite element methods. Examples are worked out in Sections 11.2, 11.3 and 12.2.

作者: Petechiae 時(shí)間: 2025-3-23 03:10

作者: Insufficient 時(shí)間: 2025-3-23 09:13
The Method of Fractionary StepsWe are now going to study a new method of solving Equation (1.2). In fact, the following can also be applied to the solution of the discretized Equation (4.3).

作者: 無意 時(shí)間: 2025-3-23 10:47
Spaces of Functions Associated with an open set in RLet Ω be an open set of R. with boundary Γ; we will associate with this open set several spaces of functions for later use.

作者: 使人入神 時(shí)間: 2025-3-23 15:23

作者: Truculent 時(shí)間: 2025-3-23 20:48
Approximation of Some Function Spaces by Finite Differences (II)In this chapter we construct an internal approximation of .(Ω), an external approximation of .(Ω) and a generalized external approximation of .(Ω), using finite differences. We keep the notations introduced in Section 8.1, and the open set Ω is assumed to be bounded.

作者: Sciatica 時(shí)間: 2025-3-23 23:35

作者: 滑稽 時(shí)間: 2025-3-24 04:02
Example II: The Neumann ProblemWe are in the situation discussed in Section 1.2; Ω is a bounded open set in R. with boundary Г, we put .(Ω) and .(Ω) and these spaces are provided with their usual Hubert structure (cf. Chapter 7):

作者: BRAVE 時(shí)間: 2025-3-24 07:49
The Exact ProblemWe will describe here the nonlinear elliptic problem that we want to study, and we prove existence and uniqueness of the solutions of this problem. Existence is shown by the Galerkin method, which at the same time gives first method for approximate solution of the equation.

作者: 無所不知 時(shí)間: 2025-3-24 14:29
Approximate ProblemsWe study the approximate solution of problem (13.1) by a finite difference method.

作者: elastic 時(shí)間: 2025-3-24 18:20