Low regularity symplectic schemes for stochastic NLS

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Armstrong-Goodall, Jacob, Bruned, Yvain
Format:	Preprint
Publié:	2024
Sujets:	Analysis of PDEs Numerical Analysis Probability 60H15, 65M22
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Resonance based schemes for SPDEs
par: Armstrong-Goodall, Jacob, et autres
Publié: (2023)

Convergence rates for a finite volume scheme of the stochastic heat equation
par: Sapountzoglou, Niklas, et autres
Publié: (2024)

Convergent finite difference schemes for stochastic transport equations
par: Fjordholm, Ulrik S., et autres
Publié: (2023)

Convergence rates for a finite volume scheme of a stochastic non-linear parabolic equation
par: Rajasekaran, Kavin, et autres
Publié: (2025)

Study of a TPFA scheme for the stochastic Allen-Cahn problem with constraint through numerical experiments
par: Sapountzoglou, Niklas, et autres
Publié: (2025)

A convergent stochastic scalar auxiliary variable method
par: Metzger, Stefan
Publié: (2023)

Strong convergence of finite element approximations for a fourth-order stochastic pseudo-parabolic equation with additive noise
par: Bhar, Suprio, et autres
Publié: (2025)

Existence, uniqueness, and numerical approximations for stochastic Burgers equations
par: Mazzonetto, Sara, et autres
Publié: (2019)

Convergence of a spatial semidiscretization for a three-dimensional stochastic Allen-Cahn equation with multiplicative noise
par: Zhou, Qin, et autres
Publié: (2024)

A mixed finite element method for a class of fourth-order stochastic evolution equations with multiplicative noise
par: Goldys, Beniamin, et autres
Publié: (2025)

Theoretical analysis of a finite-volume scheme for a stochastic Allen-Cahn problem with constraint
par: Bauzet, Caroline, et autres
Publié: (2024)

A surface finite element scheme for a stochastic PDE on an evolving curve
par: Pozzi, Paola, et autres
Publié: (2025)

Strong convergence of finite element schemes for the stochastic Landau--Lifshitz--Bloch equation
par: Soenjaya, Agus L.
Publié: (2026)

Multilevel Monte Carlo methods for the Dean-Kawasaki equation from Fluctuating Hydrodynamics
par: Cornalba, Federico, et autres
Publié: (2023)

Strong error estimates for a fully discrete SAV scheme for the stochastic Allen--Cahn equation with multiplicative noise
par: Metzger, Stefan
Publié: (2025)

A monotone scheme for G-equations with application to the explicit convergence rate of robust central limit theorem
par: Huang, Shuo, et autres
Publié: (2019)

Strong convergence of a fully discrete scheme for stochastic Burgers equation with fractional-type noise
par: Wang, Yibo, et autres
Publié: (2024)

Finite Element Approximations of Stochastic Linear Schrödinger equation driven by additive Wiener noise
par: Bhar, Suprio, et autres
Publié: (2024)

A convergent augmented SAV scheme for stochastic Cahn--Hilliard equations with dynamic boundary conditions describing contact line tension
par: Metzger, Stefan
Publié: (2024)

Optimal rate of convergence for approximations of SPDEs with non-regular drift
par: Butkovsky, Oleg, et autres
Publié: (2021)

Parametric Reduced Order Models for the Generalized Kuramoto--Sivashinsky Equations
par: Mizan, Md Rezwan Bin, et autres
Publié: (2025)

Numerical Analysis of 2D Stochastic Navier--Stokes Equations with Transport Noise: Regularity and Spatial Semidiscretization
par: Li, Binjie, et autres
Publié: (2025)

Discrete stochastic maximal regularity
par: Evangelopoulos-Ntemiris, Foivos, et autres
Publié: (2025)

Reaching the equilibrium: Long-term stable approximations for stochastic non-Newtonian Stokes equations with transport noise
par: Droniou, Jerome, et autres
Publié: (2024)

On a finite-volume approximation of a diffusion-convection equation with a multiplicative stochastic force
par: Bauzet, Caroline, et autres
Publié: (2023)

Stability analysis of the free-surface Stokes problem and an unconditionally stable explicit scheme
par: Tominec, Igor, et autres
Publié: (2025)

Numerical Ergodicity of Stochastic Allen--Cahn Equation driven by Multiplicative White Noise
par: Liu, Zhihui
Publié: (2024)

Drift-Randomized Milstein-Galerkin Finite Element Method for Semilinear Stochastic Evolution Equations
par: Qi, Xiao, et autres
Publié: (2026)

Derivation of normal forms for dispersive PDEs via arborification
par: Bruned, Yvain
Publié: (2024)

Composition and substitution of Regularity Structures B-series
par: Bruned, Yvain
Publié: (2023)

A top-down approach to algebraic renormalization in regularity structures based on multi-indices
par: Bruned, Yvain, et autres
Publié: (2023)

Counting the number of stationary solutions of Partial Differential Equations via infinite dimensional sampling
par: Kolodziejczyk, Martin, et autres
Publié: (2024)

Error bounds for full space-time splitting discretizations of semi-linear SPDEs -- with a focus on dG domain decompositions
par: Eisenmann, Monika, et autres
Publié: (2024)

Error analysis of a finite element scheme for parametric mean curvature flow based on the DeTurck trick
par: Deckelnick, Klaus, et autres
Publié: (2026)

Weak convergence rates for temporal numerical approximations of stochastic wave equations with multiplicative noise
par: Cox, Sonja, et autres
Publié: (2019)

Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations
par: Becker, Sebastian, et autres
Publié: (2017)

Pathwise Uniform Convergence of Time Discretisation Schemes for SPDEs
par: Klioba, Katharina, et autres
Publié: (2023)

The Ramshaw-Mesina Hybrid Algorithm applied to the Navier Stokes Equations
par: Çibik, Aytekin, et autres
Publié: (2024)

Pathwise uniform convergence of numerical approximations for a two-dimensional stochastic Navier-Stokes equation with no-slip boundary conditions
par: Li, Binjie, et autres
Publié: (2024)

Rigorous enclosure of Lyapunov exponents of stochastic flows
par: Breden, Maxime, et autres
Publié: (2024)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
language	"fr"
VUFIND_SESSION	"f3d5ac5c74e7a89ef6be6de19f32fbbe"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790969381.2517 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "f3d5ac5c74e7a89ef6be6de19f32fbbe" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"language=fr; VUFIND_SESSION=f3d5ac5c74e7a89ef6be6de19f32fbbe; ui=standard"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"23438"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2410_22359/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2410_22359/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790969381.2462
REQUEST_TIME	1790969381

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler