Results 11 to 20 of about 14,089 (117)

Introduction to discrete functional analysis techniques for the numerical study of diffusion equations with irregular data [PDF]

, 2015
We give an introduction to discrete functional analysis techniques for stationary and transient diffusion equations. We show how these techniques are used to establish the convergence of various numerical schemes without assuming non-physical regularity ...
Droniou, Jerome
core   +3 more sources

Valuation equations for stochastic volatility models [PDF]

, 2011
We analyze the valuation partial differential equation for European contingent claims in a general framework of stochastic volatility models where the diffusion coefficients may grow faster than linearly and degenerate on the boundaries of the state ...
Bayraktar, Erhan, Kardaras, Constantinos, Xing, Hao   +2 more
core   +2 more sources

Some Results on Inverse Scattering [PDF]

, 2007
A review of some of the author's results in the area of inverse scattering is given. The following topics are discussed: 1) Property $C$ and applications, 2) Stable inversion of fixed-energy 3D scattering data and its error estimate, 3) Inverse ...
Ramm, A. G.
core   +8 more sources

On the Gierer-Meinhardt System with Saturation [PDF]

, 2004
We consider the following shadow Gierer-Meinhardt system with saturation: \left\{\begin{array}{l} A_t=\epsilon^2 \Delta A -A + \frac{A^2}{ \xi (1+k A^2)} \ \ \mbox{in} \ \Omega \times (0, \infty),\\ \tau \xi_t= -\xi +\frac{1}{|\Omega|} \int_\Om A^2 ...
Wei, J, Winter, M
core   +1 more source

The Helically-Reduced Wave Equation as a Symmetric-Positive System [PDF]

, 2003
Motivated by the partial differential equations of mixed type that arise in the reduction of the Einstein equations by a helical Killing vector field, we consider a boundary value problem for the helically-reduced wave equation with an arbitrary source ...
Torre, C. G.
core   +4 more sources

Nonlinear normal modes and spectral submanifolds: Existence, uniqueness and use in model reduction

, 2016
We propose a unified approach to nonlinear modal analysis in dissipative oscillatory systems. This approach eliminates conflicting definitions, covers both autonomous and time-dependent systems, and provides exact mathematical existence, uniqueness and ...
Haller, George, Ponsioen, Sten
core   +1 more source

Stochastic Mean-Field Limit: Non-Lipschitz Forces \& Swarming

, 2010
We consider general stochastic systems of interacting particles with noise which are relevant as models for the collective behavior of animals, and rigorously prove that in the mean-field limit the system is close to the solution of a kinetic PDE.
Bolley, François, Carrillo, José Antonio, Cañizo, José Alfredo   +2 more
core   +1 more source

No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system

Asian Journal of Control, EarlyView.
Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi, Mohammed Messaoudi, Thabet Abdeljawad, Fahd Jarad   +3 more
wiley   +1 more source

From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity

, 2008
This article reviews some aspects in the current relationship between mathematical and numerical General Relativity. Focus is placed on the description of isolated systems, with a particular emphasis on recent developments in the study of black holes ...
Aksoylu B Bernstein D Bond S Holst M, Alvi K, Andersson L, Andersson L, Andersson L, Andersson L, Andersson L Mars M Simon W, Andersson L Metzger J, Andersson L Metzger J, Andersson N, Andréasson H, Andréasson H, Ansorg M, Ansorg M, Ansorg M, Arnowitt R, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Babiuc M, Babiuc M, Baker J G, Bartnik R, Bartnik R, Bary H, Beig R, Beig R, Berger B K, Bergmann P, Beyer F, Bishop N T, Bishop N T, Bizon P, Bičák J, Bičák J, Blanchet L, Bona C, Bona C Alic D, Booth I, Booth I, Booth I, Booth I Fairhurst S, Bray H, Brown J, Brügmann B González J A Hannam M Husa S Sperhake U Tichy W, Buchman L T, Buchman L T, Calabrese G, Campanelli M, Campanelli M Lousto C O Zlochower Y, Carrasco A, Cartan E, Chiba T, Choptuik M W, Choquet-Bruhat Y, Choquet-Bruhat Y, Choquet-Bruhat Y, Choquet-Bruhat Y York J W, Choquet-Bruhat Y York J W, Christodoulou D, Chruściel P T, Chruściel P T, Chruściel P T, Chruściel P T, Chruściel P T, Claudel C-M, Cook G B, Corvino J, Dafermos M, Dafermos M, Dain S, Dain S, Dain S, Dain S, Dain S, Dain S, Dain S, Dain S, Damour T, Damour T Ruffini R, Darmois G, Dirac P A M, Donder T D, Ellis G F R, Ellis G F R, Eric Gourgoulhon, Evans C R, Evans C R, Fock V A, Font J A, Frauendiener J, Frauendiener J, Frauendiener J, Friedrich H, Friedrich H, Friedrich H, Friedrich H, Friedrich H, Friedrich H, Garfinkle D, Gentle A P, Geroch R, Gibbons G, Gibbons G, Gibbons G W, Gibbons G W, Gibbons G W, Giulini D, Giulini D, Gourgoulhon E, Gourgoulhon E, Gourgoulhon E Jaramillo J L (organisers), Grandclément P, Gundlach C, Gundlach C Martín-García J M, Hannam M, Hannam M, Hawking S W, Hayward S A, Hennig J Ansorg M, Herrmann F, Heusler M, Huisken G, Hájiček P, Hübner P, Hübner P, Hübner P, Hübner P, Hübner P Weaver M, Ionescu A D Klainerman S, Ionescu A D Klainerman S, Isenberg J, Isenberg J, Isenberg J A, Isenberg J A, Israel W, Israel W, Jaramillo J L Vasset N Ansorg M, José Luis Jaramillo, Juan Antonio Valiente Kroon, Karkowski J, Karkowski J, Karkowski J, Karkowski J, Klainerman S, Klainerman S, Klainerman S, Kokkotas K D, Korobkin O Aksoylu B Holst M Pazos E Tiglio M, Korzynski M, Kreiss H-O, Kreiss H-O, Krishnan B, Lehner L, Lehner L, Lewandowski J, Lichnerowicz A, Lichnerowicz A, Lin L-M, Lindblad H Rodnianski I, Lindblom L, Lindblom L Matthews K D Rinne O Scheel M A, Malec E, Malec E, Malec E, Malec E, Mars M, Mars M, Mars M, Mars M, Martí J M, Martín-García J M, Metzger J, Metzger J, Misner C W, Moncrief V, Nielsen A B, Nielsen A B Yoon J H, Penrose R, Penrose R, Penrose R, Penrose R, Petroff D Ansorg M, Poisson E, Pretorius F, Pretorius F, Pretorius F, Price R H, Racz I, Reisswig C, Rendall A D, Rendall A D, Reula O A, Reula O A, Richter R, Rinne O, Rinne O, Rinne O, Rinne O, Rinne O, Ruiz M, Sarbach O, Seiler J Szilágyi B Pollney D Rezzolla L, Senovilla J M M, Senovilla J M M, Senovilla J M M, Shinkai H Yoneda G, Smith B, Sopuerta C F, Sperhake U, Stephani H, Stewart J M, Szabados L B, Szabados L B, Szabados L B, Szilagyi B, Sánchez M, Thiemann T, Thornburg J, Thornburg J, Thornburg J, Thorne K, Thorne K, Valiente Kroon J A, Valiente Kroon J A, Valiente Kroon J A, Valiente Kroon J A, Wald R M, Wald R M, Walsh D, Wheeler J, Whelan J T, Whelan J T, Williams C, Wilson J, Winicour J, York J W, Yoshida S, Zenginoğlu A, Zenginoğlu A, Zenginoğlu A, Åman J   +249 more
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Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
wiley   +1 more source