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Topic: Poissons equation

	SIMEON DENIS POISSON - LoveToKnow Article on SIMEON DENIS POISSON (Site not responding. Last check: 2007-10-03)
		Poisson was first sent to an uncle, a surgeon at Fontainebleau, and began to take lesions in bleeding and blistering, but made little progress.
		Poisson showed that the result could be extended to a second approximation, and thus made an important advance in the planetary theory.
		The memoir is remarkable inasmuch as it roused Lagrange, after an interval of inactivity, to compose in his old age one of the greatest of his memoirs, viz, that Sur la thorie des variations des lments des plantes, et en particulier des variations des grands axes de leurs orbites.
	98.1911encyclopedia.org /P/PO/POISSON_SIMEON_DENIS.htm (1404 words)

	PIERRE SIMON, MARQUIS DE LAPLACE - LoveToKnow Article on PIERRE SIMON, MARQUIS DE LAPLACE (Site not responding. Last check: 2007-10-03)
		A direct and an inverse calculus is thus created, the object of the former being to determine the coefficients from the generating function, of the latter to discover the generating function from the coefficients.
		He also showed that every equation of an even degree must have at least one real quadratic factor, reduced the solution of linear differential equations to definite integrals, and furnished an elegant method by which the linear partial differential equation of the second order might be solved.
		He was also the first to consider the difficult problems involved in equations of mixed differences, and to prove that an equation in finite differences of the first degree and the second order might always be converted into a continued fraction.
	www.1911ency.org /L/LA/LAPLACE_PIERRE_SIMON_MARQUIS_DE.htm (4779 words)

	Talk:Laplace operator - Wikipedia, the free encyclopedia
		Also handy to mention that solutions to poissons equation are harmonic functions.
		Some of the equations you mention are already in the intro, but the others should definitely also be there.
		Laplace's equation is the Euler-Lagrange equation for the "energy" functional.
	en.wikipedia.org /wiki/Talk:Laplace_operator (5313 words)

	Re: pressure Poissons equation
		The pressure equation is the divergence of the momentum equation.
		Re: pressure Poissons equation - dean schrage, Mon, 28 Feb 2000, 4:31 a.m.
		Re: pressure Poissons equation - dean schrage, Tue, 29 Feb 2000, 4:35 a.m.
	www.cfd-online.com /Forum/main_archive_2000.cgi/read/9545 (488 words)

	Patrice Le Gal - IRPHE-CNRS, Marseille (Site not responding. Last check: 2007-10-03)
		We study the response of this equation to time-harmonic forcing in the subcritical regime (i.e., before the bifurcation).
		It is shown that when the amplitude variable is taken as the transverse velocity component at a point in the wake, the so-called Landau constant varies considerably with position and importantly is generally far from constant during the saturation phase of wake development.
		equation [Physica D 73, 99 (1994)] for the evolution of the temperature increments probability density functions (PDFs) to predict the inertial and dissipative range PDFs, using an initial PDF, and two measurable closure functions.
	www.irphe.univ-mrs.fr /~legal (5307 words)

	Virginia Tech Graduate Catalog (Site not responding. Last check: 2007-10-03)
		Equations of motion for and dynamical response of continuous and multiple-degree-of-freedom vehicle structures.
		Derivation of the equations of motion of a ship; waves and wave forces on structures; description of wave statistics and spectral representation in a given sea state; ship response in regular waves; ship response in random waves.
		The finite element method is introduced as a numerical method of solving the ordinary and partial differential equations arising in fluid flow, heat transfer, and solid and structural mechanics.
	www.vt.edu /academics/gcat/gcdAOE.html (1885 words)

	Mathematical Physics History Summary (Site not responding. Last check: 2007-10-03)
		Equations in mathematical physics were often named after those scientists who discovered them.
		The central topics of mathematical physics are the differential equations, or the partial differential equations (PDE).
		Any type of partial differential equation may be combined with any type of boundary condition, depending on the actual problem.
	www.bookrags.com /history/physics/mathematical-physics-wop (775 words)

	Examples and Demonstrations
		In this BEM class, Laplace’s equation is an intensively studied governing equation solved by using a BEM formulation.
		The physical background of this equation is in this case the stationary heat transfer equation.
		In the interior of the domain, the temperature is evaluated using the integral equation whereas values on the boundary are interpolated from the nodal solution.
	www.bem.uni-stuttgart.de /examdemos.html (1509 words)

	No Title (Site not responding. Last check: 2007-10-03)
		If the governing equations are hyperbolic, eigenvalue analysis may upon a choice of a characteristic direction lead to a splitting of the primitive variables into a set of wave-like variables.
		The momentum equations are first solved as a predictor, tentatively using the pressure field found in the preceeding iteration or timestep.
		The continuity equation, rewritten as the divergence of the momentum equations, is then employed as a corrector.
	www.afm.dtu.dk /staff/jam/vocabulary/vocabulary.html (4447 words)

	La qualité et son évolution dans le poisson frais - 7. Méthodes améliorées de manutention du poisson
		On fait jeûner le poisson et, si possible, on fait baisser la température de l’eau pour réduire son métabolisme et ses mouvements.
		Les méthodes de transport du poisson vivant vont de systèmes très sophistiqués montés sur des camions avec régulation de température, filtration et recyclage d’eau et addition d’oxygène (Schoemaker, 1991), aux systèmes artisanaux très simples de transport de poisson dans des sacs en plastique en atmosphère sursaturée d’oxygène (Berka, 1986).
		Le poisson gras a des valeurs de cpp plus basses que le poisson maigre et, théoriquement a besoin de moins de glace par kilogramme que le poisson maigre; cependant, par mesure de sécurité, il est recommandé de faire les calculs comme s’il s’agissait toujours de poisson maigre.
	www.fao.org /docrep/003/V7180F/V7180F08.htm (12764 words)

	Quand les écolos critiquent la destruction des barrages (Site not responding. Last check: 2007-10-03)
		Cela permet aux poissons de circuler plus facilement, mais peut aussi polluer ou favoriser des espèces invasives.
		Depuis des décennies, on soupçonne que les barrages ont des effets néfastes sur les poissons.
		C’était la première fois en cent cinquante ans que ces poissons migrateurs avaient accès aux 28 kilomètres de rivière en amont du barrage.
	www.peuplesmonde.com /imprimer-article.php3?id_article=68 (1187 words)

	Solving partial differential equations
		from the principle of conservation of magnetic flux, the diffusion equation from principle of conservation of energy, and the fluid equation of motion from the principle of conservation of mass and momentum.
		This is the finite difference representation of Poissons equation in 2-D in cartesian coordinates.
		Difference equations similar to the above are used in iteratively solving the diffusion equation itself.
	www.geocities.com /letapk/pde.html (2783 words)

	Seasonal Growth (Site not responding. Last check: 2007-10-03)
		Note also that equation (1) cannot describe long periods of zero growth (and values of C > 1), a problem discussed in Pauly et al.
		As this model and its predecessors (notably the model of Pauly and Gaschütz 1979) have been fitted to numerous sets of seasonally oscillating growth data, a number of estimates of C exist, covering a wide range of fish species and habitats.
		On the incorporation of temperature in the von Bertalanffy growth equation.
	ichtyonb1.mnhn.fr /manual/fishbaseseasonal_growth.htm (958 words)

	Bienvenue chez le pêcheur : la pêche a son portail (Site not responding. Last check: 2007-10-03)
		Si le vol d'oiseaux est certes un spectacle ravissant, que connaissent-ils de notre partenaire, le poisson, invisible sous le miroir des eaux.
		Le visuel primait déjà sur l'absence de connaissance des poissons en milieux humides.
		Si des tonnes de poissons sont ainsi exterminées chaque année, la présence des cormorans est aussi une gêne pour les pêcheurs que nous sommes.
	ecisnet90.ec-is.net /articles/laurent_cormorans.asp (1284 words)

	Simeon Denis Poisson (Site not responding. Last check: 2007-10-03)
		His well-known correction of Laplace's partial differential equation of the second degree for the potential today named after him the Poissons equation or the potential theory equation, was first published in the Bulletin de in "societe philomatique" (1813).
		In 1812 Poisson discovered that Laplace's equation is valid only outside of a solid.
		For instance Poisson's equation for surface electrical potential Ψ, which shows its dependence from the density of electrical charge ρ
	simeon-denis-poisson.org /equation.html (365 words)

	A Non-Charge-Sheet Analytic Theory for Undoped Symmetric Double-Gate MOSFETs from the Exact Solution of Poissons ...
		The formulation is based on the exact solution of the Poissons equation to solve for electron concentration directly rather than relying on the surface potential alone.
		Therefore, carrier distribution in the channel away from the surface is also taken care, giving a non-charge-sheet model compatible with the classical Pao-Sah model.
		The formulated model has an analytic form that does not need to solve for the transcendent equation as in the conventional surface potentials or Pao-Sah formulation.
	www.nsti.org /Nanotech2004/showabstract.html?absno=126 (173 words)

	Edinburgh Mathematics Programme (Site not responding. Last check: 2007-10-03)
		This course develops further techniques in calculus and differential equations used in modelling, and standard methods of probability and statistics used in the interpretation of data.
		Diffusion equation in one dimension, separation of variables, error function.
		An ability to solve Partial Differential Equations using separation of variables, similarity variables and the complex-variable method.
	www.maths.ed.ac.uk /guides/Syll/mc4.html (266 words)

	Page Web de benoit
		Equations différentielles ordinaires : théorie qualitative, théories asymptotiques, perturbations singulières.
		Si on considère qu'un poisson de taille w ne mange que des poissons de taille qw (avec q donné strictement inférieur à 1), le modèle résultant pour la solution stationnaire est une équation aux q-différences.
		Equations différentielles et familles bien nées de courbes planes.
	perso.univ-lr.fr /ebenoit (5953 words)

	Pipe Flow in Arbitrary Geometries
		For a fluid of constant density, divV disappears from the continuity equation and l from the Navier-Stokes Equation.
		The Laplace Equation is an elliptic equation, and the particular case of interest is a defined as being equal to zero on the boundary and thus is also a boundary value problem.
		The difference equation above approximating the Laplace Equation is used to relate the unknown values of u to the known values at the boundary, giving an approximation of the value of u at each point on the grid.
	www.maths.tcd.ie /~healyw/projectpsi/projectpsi.htm (2948 words)

	Citebase - Fast and accurate multigrid solution of Poissons equation using diagonally oriented grids (Site not responding. Last check: 2007-10-03)
		Authors: Roberts, A. We solve Poisson's equation using new multigrid algorithms that converge rapidly.
		The novel feature of the 2D and 3D algorithms are the use of extra diagonal grids in the multigrid hierarchy for a much richer and effective communication between the levels of the multigrid.
		Numerical experiments solving Poisson's equation in the unit square and unit cube show simple versions of the proposed algorithms are up to twice as fast as correspondingly simple multigrid iterations on a conventional hierarchy of grids.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:math/9907190 (339 words)

	Liste des encadrés (Site not responding. Last check: 2007-10-03)
		Nombre cumulé des introductions internationales des poissons d'eau douce par région continentale FAO en fonction du temps.
		Mortalité naturelle en fonction de la longueur asymptotique pour les poissons tropicaux (cercles pleins) et les autres poissons (cercles ouverts).
		Durée de développement moyenne des œufs de poissons en fonction de la température moyenne de l'eau dans laquelle ils se sont développés et de leur diamètre.
	fishbase.sinica.edu.tw /French/FishbaseListe_des_encadrs.htm (1921 words)

	Re: pressure Poissons equation
		I think the answer to your question is forward differencing is applied to the BC's of the PPE and the revised Peclet weighting scheme i described above is used in the momentum equations.
		With this scheme, the momentum equation is always in contact with the boundary to some degree.
		Re: pressure Poissons equation - andy, Mon, 28 Feb 2000, 11:46 a.m.
	www.cfd-online.com /Forum/main_archive_2000.cgi/read/9567 (632 words)

	Basic Equations
		It is not a fundamental equation but follows from the axioms of quantum mechanics.
		In this version of the continuity equation it is assumed that the particle number is conserved, i.e.
		Maxwells equation contain all there is to know about electromagnetic phenomena in a classical world (including the special theory of relativity).
	www.techfak.uni-kiel.de /matwis/amat/semi_en/kap_2/basics/b2_2_2.html (2033 words)

	TFFY02 (Site not responding. Last check: 2007-10-03)
		The most important aim is to give the mathematical knowledge in order to make it possible to solve the most frequent partial differential equations in physics.
		The course starts with repetition of ordinary differential equations, in order to give a stable ground for further advancements.
		Linear partial differential equations with boundary values, i e Laplaces' equation, Poissons' equation, the wave equation and the temperature equation.
	www.lith.liu.se /sh99/kurser/en/TFFY02.html (175 words)

	Partial differential equations F, 2001
		For the solution u of the heat equation with u_0=0 and f a unit mass point load at x=0, compute lim_{t->oo}u(x,t).
		Show that for a solution to Poissons eq with homogeneous Dirichlet boundary conditions one has F(u)=-1/2\int_\Omega fu.
		u=x^2+y^2-1 is the solution of a Poissons eq with homogeneous Dirichlet boundary conditions on the unit disc in 2D.
	www.cs.chalmers.se /~kenneth/pdef/pdef01-3.html (141 words)

	FAQ fr.rec.bateaux - Arrivée de Parlier
		Parlier qui doit manger des algues et de poissons crus, mais qui disposait de suffisament d'epoxy et aussi d'ampoules pour "construire un four improvisé dont la température interne a été supérieure à 50°C pendant huit heures !", etc....
		Equations: 1) Y a plus rien à perdre 2) je suis spécialiste des composites 3) j'ai 500 g de colles et diverse bricoles 4) j'ai un gros cerveau 5) j'ai un téléphone portable pour rameuter les potes journalistes La solution de l'équation est évidente !
		Encore faut-il que le personnage principal de la pièce de théatre (ou du spot publicitaire) ait le courage, le mental, et la capacité de souffrance pour jouer le clip jusqu'au bout.
	faq.frbateaux.net /Discussion341.html (2739 words)

	[No title]
		Some common boundary conditions include: Dirichlet conditions, head is known for the surfaces on the boarder of the flow region, Neumann conditions, Flow is known across surfaces on the boarder to the flow region, or some combination of the two.
		A finite difference expression of Laplace´s equation Y(1,1)(1,8)(i,j+1)(i-1,j)(i,j)(i+1,j)(i,j-1)(9,1)(9,8)XDecrease delta X and delta Y to approach the analytical solution, and increase the number of unknown.
		Poisson´s equation Poisson´s equation allows for sources (recharge) and sinks (well discharge) to be includes in the steady state model.
	folk.ntnu.no /leifba/veil3796.doc (642 words)

	Micromagnetic simulation of the long-range interaction between NiFe nano-elements using the BE-method
		Numerical micromagnetic simulations suggest that the switching field of an individual element in an array of closely packed NiFe elements strongly depends on the magnetization pattern of the neighbours.
		is the negative gradient of a magnetic scalar potential U which obeys Poissons's equation within the magnetic region, and Laplace's equation outside the magnetic particle.
		Flow chart of the hybrid / finite element boundary element for the time integration of the Gilbert equation of motion.
	magnet.atp.tuwien.ac.at /publications/preprint/suess/142suess/html/142_m.html (969 words)

	Personal Home Page (Site not responding. Last check: 2007-10-03)
		Equations geometriques pour les calculs d'amplitudes d'ondes hautes frequences.
		A domain decomposition method for the Helmholtz equation and related optimal control problems.
		The first GO++ workshop on numerical methods for G.O., Hamilton-Jacobi equations and their applications, (Marseille, 21-25 August 2000).
	www-rocq.inria.fr /~benamou (737 words)

	Citations: A note on the complexity of solving Poisson's equation for spaces of bounded mixed derivatives - Bungartz, ... (Site not responding. Last check: 2007-10-03)
		Generalizations of hyperbolic trigonometric approximation to more general domains in frequency space may be found in [Ga78, Di88] and [Gri98, Bu98, Gri00] In this context, one of the basic problems of scientific computing is the efficient evaluation of integral....
		Recall that the computed total integral is just the sum over all differential integrals within the actual index set Now as soon as the error indicator for a new index is computed, the index can in fact already be added to the index set since it does not make sense to exclude....
		Compare also [Wer95] for related results concerning the complexity of the Poisson equation with right hand side in the space of functions with dominating mixed derivative.
	citeseer.ist.psu.edu /context/680935/90628 (1155 words)

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