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Preconditioning Indefinite Discretization Matrices.

Harry Yserentant (1989)

Numerische Mathematik

Preconditioning P1 nonconforming finite elements: condition numbers and singular value distributions.

Sze-Ping Wong (1993)

Numerische Mathematik

Preconditioning strategies for 2D finite difference matrix sequences.

Serra Capizzano, Stefano, Tablino Possio, Cristina (2003)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Prediction-correction legendre spectral scheme for incompressible fluid flow

He Li-ping, Mao De-kang, Guo Ben-yu (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

The initial-boundary value problem of two-dimensional incompressible fluid flow in stream function form is considered. A prediction-correction Legendre spectral scheme is proposed, which is easy to be performed. The numerical solution possesses the accuracy of second-order in time and higher order in space. The numerical experiments show the high accuracy of this approach.

Predictive extension of a singular lagrangian system

J. A. Llosa, F. Marqués, A. Molina (1980)

Annales de l'I.H.P. Physique théorique

Preface

Guillaume Bal, Houman Owhadi (2014)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Preface

(1963)

Differential Equations and Their Applications

Preface

Krbec, Miroslav, Kufner, Alois, Opic, Bohumír, Rákosník, Jiří (1990)

Nonlinear Analysis, Function Spaces and Applications

Preface

(1982)

Equadiff 5

Preface

(1979)

Equadiff IV

Preface

(1990)

Equadiff 7

Preface

Ráb, Miloš, Vosmanský, Jaromír (1973)

Proceedings of Equadiff III

Première valeur propre du laplacien et volume des sphères riemanniennes

J. P. Bourguignon (1979/1980)

Séminaire Équations aux dérivées partielles (Polytechnique)

Preparation theorems for matrix valued functions

Nils Dencker (1993)

Annales de l'institut Fourier

We generalize the Malgrange preparation theorem to matrix valued functions $F (t, x) \in C^{\infty} (R \times R^{n})$ satisfying the condition that $t \mapsto \det F (t, 0)$ vanishes to finite order at $t = 0$ . Then we can factor $F (t, x) = C (t, x) P (t, x)$ near (0,0), where $C (t, x) \in C^{\infty}$ is inversible and $P (t, x)$ is polynomial function of $t$ depending $C^{\infty}$ on $x$ . The preparation is (essentially) unique, up to functions vanishing to infinite order at $x = 0$ , if we impose some additional conditions on $P (t, x)$ . We also have a generalization of the division theorem, and analytic versions generalizing the Weierstrass preparation...

Preparation theorems for systems

Nils Dencker (1990)

Journées équations aux dérivées partielles

Prescribing a fourth order conformal invariant on the standard sphere, part II : blow up analysis and applications

Zindine Djadli, Andrea Malchiodi, Mohameden Ould Ahmedou (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

In this paper we perform a fine blow up analysis for a fourth order elliptic equation involving critical Sobolev exponent, related to the prescription of some conformal invariant on the standard sphere $(𝕊^{n}, h)$ . We derive from this analysis some a priori estimates in dimension $5$ and $6$ . On $𝕊^{5}$ these a priori estimates, combined with the perturbation result in the first part of the present work, allow us to obtain some existence result using a continuity method. On $𝕊^{6}$ we prove the existence of at least one...

Prescribing mean curvature: existence and uniqueness problems.

Kamberov, G. (1998)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Prescribing $Q$ -curvature on higher dimensional spheres

Khalil El Mehdi (2005)

Annales mathématiques Blaise Pascal

We study the problem of prescribing a fourth order conformal invariant on higher dimensional spheres. Particular attention is paid to the blow-up points, i.e. the critical points at infinity of the corresponding variational problem. Using topological tools and a careful analysis of the gradient flow lines in the neighborhood of such critical points at infinity, we prove some existence results.

Prescribing scalar curvature on $S^{3}$

Matthias Schneider (2007)

Annales de l'I.H.P. Analyse non linéaire

Prescribing the jacobian determinant in Sobolev spaces

Dong Ye (1994)

Annales de l'I.H.P. Analyse non linéaire

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