...e that as suggested by the presence of chaotic solutions and by a Painlevé analysis [[#References|[a7]]] (cf. also [[Painlevé test|Painlevé test]]), the Kura
...inertial manifold, which exponentially absorbs solutions and contains the global attractor [[#References|[a10]]], [[#References|[a4]]]. On restricting the p
21 KB (3,050 words) - 17:43, 1 July 2020
...eddies symmetrically staggered, as in Fig.a1. However, a linear stability analysis with respect to small disturbances shows that the first configuration is al
...], the velocity induced on each vortex by all the others, and the eventual global displacement velocity of the sheets using the complex potential formulation
19 KB (3,002 words) - 17:46, 1 July 2020
...ximation of local solutions to the homogeneous equation $P ( D ) u = 0$ by global solutions. The space of solutions to a linear homogeneous ordinary differen
.../tr><tr><td valign="top">[a6]</td> <td valign="top"> L. Hörmander, "The analysis of linear partial differential operators II" , ''Grundl. Math. Wissenschaft
8 KB (1,264 words) - 05:21, 19 March 2022
...ization of formal moduli I" D.C. Spencer (ed.) S. Iyanaga (ed.) , ''Global analysis (papers in honor of K. Kodaira)'' , Univ. Tokyo Press (1969) pp. 21–72 {{
7 KB (1,008 words) - 07:42, 20 March 2024
...e [[#References|[a5]]], [[#References|[a11]]] for examples and references. Global analyses of these equations are merely of mathematical interest because the
...="top">[a4]</TD> <TD valign="top"> P.G. Ciarlet, V. Lods, "Asymptotic analysis of linearly elastic shells I. Justification of membrane shell equations" '
8 KB (1,209 words) - 08:28, 6 June 2020
...utation of the input data is equally likely. For biased distributions, the analysis becomes significantly more complicated, and for arbitrary distributions the
...e behaviour is not identical to the worst-case behaviour — an average-case analysis makes sense. A precise complexity estimation has been given for many Boolea
21 KB (3,198 words) - 18:47, 11 December 2020
...1–56</TD></TR><TR><TD valign="top">[a15b]</TD> <TD valign="top"> D. Rand, "
Global phase space universality, smooth conjugacies and renormalisation: the <img
12 KB (1,685 words) - 08:27, 6 June 2020
...fand, N.Ya. Vilenkin, "Generalized functions. Applications of harmonic analysis" , '''4''' , Acad. Press (1968) (Translated from Russian)</TD></TR><TR><T
...top"> S. Albeverio, R. Høegh-Krohn, B. Zegarlinski, "Uniqueness and global Markov property for Euclidean fields: the case of general polynomial intera
7 KB (970 words) - 08:09, 6 June 2020
...\Gamma \backslash X ) , \widetilde { M } )$ and what is the image of the "global" cohomology $H ^ { \bullet } ( \Gamma \backslash X , \tilde { \mathcal{M}
giving a global class. The only difficulty is that this sum need not converge. Hence the fo
12 KB (1,817 words) - 15:30, 1 July 2020
is generated by global sections; for any analytic sheaf $ {\mathcal F} $
...><TD valign="top">[1]</TD> <TD valign="top"> R.O. Wells jr., "Differential analysis on complex manifolds" , Springer (1980) {{MR|0608414}} {{ZBL|0435.32004}} <
7 KB (1,004 words) - 08:07, 6 June 2020
...oblems and has opened new possibilities for the application of geometry to analysis. It is Riemannian geometry which was used by A. Einstein to realize the ide
...the development of the geometry of infinite-dimensional manifolds — global analysis.
30 KB (4,323 words) - 19:35, 5 June 2020
...of the subdomains. In spectral methods, the domain is not subdivided, but global basis functions of high order are used. Accuracy is gained by increasing th
...pectral methods are, in general, more complicated to code and require more analysis to be done prior to coding than simpler methods.
9 KB (1,381 words) - 16:55, 1 July 2020
...ed by a system of differential equations such as (1). On the other hand, a global (i.e. suitable for all states of the dynamical system) and invariant (i.e.
...alitative picture of the behaviour of all trajectories in the phase space (global theory) or at least in some part of it (local theory). In the theory of dyn
27 KB (4,058 words) - 19:36, 5 June 2020
...eral content. In its most general meaning it is considered nowadays as the analysis of connections in principal fibre spaces or fibre spaces associated to them
<TR><TD valign="top">[a2]</TD> <TD valign="top"> A. Lichnerowicz, "Global theory of connections and holonomy groups" , Noordhoff (1976) (Translated
7 KB (1,108 words) - 19:43, 13 August 2023
as numerical functions and to apply to them the methods of analysis. In general, the value of a field quantity at a point depends on the choice
...></TR><TR><TD valign="top">[4]</TD> <TD valign="top"> A. Lichnerowicz, "Global theory of connections and holonomy groups" , Noordhoff (1976) (Translated
7 KB (1,075 words) - 16:43, 4 June 2020
.../math> is the projectivization of the kernel of the natural restriction of global sections
...ument is that it implicitly assumes that the restriction <math>r</math> of global sections is ''surjective'', which isn't the case in general.
14 KB (2,200 words) - 18:27, 23 October 2017
...opology was the [[Compact-open topology|compact-open topology]]. A careful analysis of topologies on $\mathcal{C} ( Y , X )$ in relation to the exponential law
...lign="top"> A. Kriegl, P.W. Michor, "The convenient setting of global analysis" , ''Math. Surveys and Monographs'' , '''53''' , Amer. Math. Soc. (1997)</
10 KB (1,545 words) - 18:18, 20 January 2021
...op">[a8]</td> <td valign="top"> R. Illner, H. Lange, P.F. Zweifel, "Global existence and asymptotic behaviour of solutions of the Wigner–Poisson and
7 KB (1,053 words) - 16:59, 1 July 2020
...topology|differential topology]] and [[Mathematical analysis|mathematical analysis]]. It is rooted in the fundamental work of L. Kronecker [[#References|[a5]]
...roach, but Brouwer created and used new simplicial techniques to define a (global) degree $d [ f , M , N ]$ for continuous mappings $f : M \rightarrow N$ bet
12 KB (1,815 words) - 17:42, 1 July 2020
...with and having many applications in [[Mathematical analysis|mathematical analysis]]. It has been extensively studied by G.G. Lorentz in [[#References|[a13]]]
...lign="top">[a9]</TD> <TD valign="top"> H.H. Gonska, Xin-Long Zhou, "A global inverse theorem on simultaneous approximation by Bernstein–Durrmeyer oper
10 KB (1,438 words) - 07:53, 26 March 2023