標(biāo)題: Titlebook: Numerical Models for Differential Problems; Alfio Quarteroni Textbook 20173rd edition Springer International Publishing, AG 2017 PDE.analy [打印本頁(yè)] 作者: Orthosis 時(shí)間: 2025-3-21 18:29
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
作者: 動(dòng)機(jī) 時(shí)間: 2025-3-21 21:04 作者: 突襲 時(shí)間: 2025-3-22 03:01 作者: 石墨 時(shí)間: 2025-3-22 06:10 作者: otic-capsule 時(shí)間: 2025-3-22 09:45
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].作者: 沉思的魚 時(shí)間: 2025-3-22 15:03
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].作者: NUDGE 時(shí)間: 2025-3-22 20:39
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.作者: 太空 時(shí)間: 2025-3-23 00:23 作者: INTER 時(shí)間: 2025-3-23 02:30
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 ..作者: 無(wú)聊的人 時(shí)間: 2025-3-23 08:12
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].作者: Ringworm 時(shí)間: 2025-3-23 12:21 作者: CRUMB 時(shí)間: 2025-3-23 17:51
Diffusion-transport-reaction equations,In this chapter we analyze the conditions ensuring the existence and uniqueness of the solution to problem (13.1).We also consider the Galerkin method, illustrate its difficulties in providing stable solutions in the presence of boundary layers, and finally propose alternative discretization methods for the approximation of (13.1).作者: 取之不竭 時(shí)間: 2025-3-23 19:01
Finite elements and spectral methods for hyperbolic equations,In this chapter we will illustrate how to apply Galerkin methods, and in particular the finite element method and the spectral one, to the spatial and/or temporal discretization of scalar hyperbolic equations.We will treat both continuous as well as discontinuous finite elements.作者: 名次后綴 時(shí)間: 2025-3-23 23:20
Springer International Publishing, AG 2017作者: 單調(diào)女 時(shí)間: 2025-3-24 05:10 作者: 親屬 時(shí)間: 2025-3-24 09:43 作者: 相符 時(shí)間: 2025-3-24 12:25 作者: cardiopulmonary 時(shí)間: 2025-3-24 18:44 作者: 共同給與 時(shí)間: 2025-3-24 21:38
Isogeometric analysis,promise to close the current gap between Computer Aided Design (CAD) procedures and computational modeling of PDEs (as outlined e.g. in Sec. 8.1) by recognizing that the meshing procedure of the computational domain is indeed a major bottleneck in Engineering practice.作者: 邊緣帶來(lái)墨水 時(shí)間: 2025-3-24 23:54
Discontinuous element methods (DG and mortar), and then generalize to the case of diffusion and transport problems (see Chapter 13). To maintain the presentation general we will consider a partition of the computational domain into disjoint subdomains that may be either finite or spectral elements.作者: 臭名昭著 時(shí)間: 2025-3-25 04:48
Domain decomposition methods,y-value problem on a partition of the computational domain into subdomains. As such, it provides a very convenient framework for the solution of heterogeneous or multiphysics problems, i.e. those that are governed by differential equations of different kinds in different subregions of the computational domain.作者: Abjure 時(shí)間: 2025-3-25 09:06 作者: 爭(zhēng)論 時(shí)間: 2025-3-25 14:17 作者: 無(wú)所不知 時(shí)間: 2025-3-25 15:56 作者: 異端 時(shí)間: 2025-3-25 21:55
Textbook 20173rd editionlic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then ana作者: pellagra 時(shí)間: 2025-3-26 02:06
of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the management of time-dependent data, the representation of large and complex作者: asthma 時(shí)間: 2025-3-26 06:12 作者: Amendment 時(shí)間: 2025-3-26 09:29
Alfio Quarteroniof increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the management of time-dependent data, the representation of large and complex作者: Mystic 時(shí)間: 2025-3-26 12:44 作者: Culpable 時(shí)間: 2025-3-26 19:28 作者: 無(wú)力更進(jìn) 時(shí)間: 2025-3-26 21:10 作者: Maximizer 時(shí)間: 2025-3-27 01:26 作者: 管理員 時(shí)間: 2025-3-27 06:50
Alfio Quarteroniof increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the management of time-dependent data, the representation of large and complex作者: ellagic-acid 時(shí)間: 2025-3-27 13:14 作者: 誹謗 時(shí)間: 2025-3-27 14:08 作者: 進(jìn)取心 時(shí)間: 2025-3-27 19:35 作者: Obliterate 時(shí)間: 2025-3-27 22:26
Alfio Quarteroniof increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the management of time-dependent data, the representation of large and complex作者: DEFER 時(shí)間: 2025-3-28 02:14 作者: 小溪 時(shí)間: 2025-3-28 07:47 作者: 紅潤(rùn) 時(shí)間: 2025-3-28 11:28
Alfio Quarteroniof increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the management of time-dependent data, the representation of large and complex作者: 確認(rèn) 時(shí)間: 2025-3-28 18:06
Alfio Quarteroniof increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the management of time-dependent data, the representation of large and complex作者: 熱情贊揚(yáng) 時(shí)間: 2025-3-28 22:40 作者: 約會(huì) 時(shí)間: 2025-3-28 23:51
Alfio Quarteroniomatic search for structures in the data. Of these feature-extraction methods, topological ones stand out due to their solid mathematical foundation. Topologically defined structures—as found in scalar, vector and tensor fields—have proven their merit in a wide range of scientific domains, and scien作者: 松軟 時(shí)間: 2025-3-29 04:39 作者: 斜坡 時(shí)間: 2025-3-29 11:03
Alfio Quarteronito science and engineering.Includes supplementary material: .When scientists analyze datasets in a search for underlying phenomena, patterns or causal factors, their first step is often an automatic or semi-automatic search for structures in the data. Of these feature-extraction methods, topological作者: antedate 時(shí)間: 2025-3-29 15:12
Generation of 1D and 2D grids,i.e. a partition of the domain in simpler geometric entities (for instance, triangles or quadrangles in two dimensions, tetrahedra, prisms or hexahedra in three dimensions), called the elements, which verify a number of conditions. Similar partitions stand at the base of other approximation methods,作者: 比目魚 時(shí)間: 2025-3-29 19:12
Elements of finite element programming,tation process can hide some pitfalls. Beyond the syntactic requirements of a given programming language, the need for a high computational efficiency leads to an implementation that is generally not the immediate translation of what has been seen during the theoretical presentation. Efficiency depe作者: 出汗 時(shí)間: 2025-3-29 21:33 作者: ACRID 時(shí)間: 2025-3-30 01:59 作者: 不能根除 時(shí)間: 2025-3-30 05:25
Discontinuous element methods (DG and mortar),r the spectral element method (Chapter 10). This chapter deals with approximation techniques based on subspaces of polynomials that are discontinuous between elements.We will, in particular, introduce the so-called . method (DG) and the . method. We will carry out this for the Poisson problem first,作者: Perineum 時(shí)間: 2025-3-30 10:37
Finite differences for hyperbolic equations,limit ourselves to considering the numerical approximation using the finite difference method, which was historically the first one to be applied to this type of equations. To introduce in a simple way the basic concepts of the theory, most of our presentation will concern problems depending on a si作者: 補(bǔ)角 時(shí)間: 2025-3-30 16:20
Nonlinear hyperbolic problems,tably their ability to generate discontinuous solutions also in the case of continuous initial and boundary data. The numerical approximation of these problems is far from easy. Here we will simply limit ourselves to point out how finite difference and finite element schemes can be applied in the ca作者: 怕失去錢 時(shí)間: 2025-3-30 17:18
Navier-Stokes equations,tion (which, under current assumptions, takes the simplified form div. = 0) to simplify the various terms, and finally dividing the equation by ρ. Note that in the incompressible case (17.2) the energy equation has disappeared. Indeed, even though such an equation can still be written for incompress作者: Ointment 時(shí)間: 2025-3-31 00:10
Optimal control of partial differential equations,assical theory in functional spaces “a la J.L.Lions”, see [Lio71, Lio72]; then we will address the methodology based on the use of the Lagrangian functional (see, e.g., [Mau81, BKR00, Jam88]). Finally, we will show two different numerical approaches for control problems, based on the Galerkin finite作者: 序曲 時(shí)間: 2025-3-31 04:24
Domain decomposition methods,iscretization method for partial differential equations (such as, e.g. finite elements, finite volumes, finite differences, or spectral element methods) to make their algebraic solution more efficient on parallel computer platforms. In addition,DD methods allow the reformulation of any given boundar作者: Fulminate 時(shí)間: 2025-3-31 08:54 作者: languid 時(shí)間: 2025-3-31 10:00
Alfio Quarteronieal of interest, and explored in several chapters here, is the search for topological structures in time-dependent flows, and their relationship with Lagrangian coherent structures. Contributors also focus on d978-3-662-51906-6978-3-642-23175-9Series ISSN 1612-3786 Series E-ISSN 2197-666X 作者: 時(shí)間等 時(shí)間: 2025-3-31 14:17
2037-5255 ses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics..978-3-319-49316-9Series ISSN 2037-5255 Series E-ISSN 2037-5263 作者: Constitution 時(shí)間: 2025-3-31 18:27 作者: tic-douloureux 時(shí)間: 2025-3-31 23:30
discussions and presentations at the third workshop on "Topological Methods in Data Analysis and Visualization", held 2009 in Snowbird, Utah, US. The 2009 "TopoInVis" workshop follows the two successful workshops in 2005 (Slovakia) and 2007 (Germany).978-3-662-50604-2978-3-642-15014-2Series ISSN 1612-3786 Series E-ISSN 2197-666X 作者: 發(fā)生 時(shí)間: 2025-4-1 04:12 作者: V切開 時(shí)間: 2025-4-1 09:38
Alfio Quarteroni discussions and presentations at the third workshop on "Topological Methods in Data Analysis and Visualization", held 2009 in Snowbird, Utah, US. The 2009 "TopoInVis" workshop follows the two successful workshops in 2005 (Slovakia) and 2007 (Germany).978-3-662-50604-2978-3-642-15014-2Series ISSN 1612-3786 Series E-ISSN 2197-666X 作者: Spina-Bifida 時(shí)間: 2025-4-1 13:07 作者: curriculum 時(shí)間: 2025-4-1 14:33
Alfio Quarteroni discussions and presentations at the third workshop on "Topological Methods in Data Analysis and Visualization", held 2009 in Snowbird, Utah, US. The 2009 "TopoInVis" workshop follows the two successful workshops in 2005 (Slovakia) and 2007 (Germany).978-3-662-50604-2978-3-642-15014-2Series ISSN 1612-3786 Series E-ISSN 2197-666X 作者: 混合物 時(shí)間: 2025-4-1 22:06
