Results 31 to 40 of about 3,002 (120)

A priori bounds for the generalised parabolic Anderson model

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1315-1394, May 2026.
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra, Guilherme de Lima Feltes, Hendrik Weber   +2 more
wiley   +1 more source

An introduction to Lie group integrators -- basics, new developments and applications

, 2012
We give a short and elementary introduction to Lie group methods. A selection of applications of Lie group integrators are discussed. Finally, a family of symplectic integrators on cotangent bundles of Lie groups is presented and the notion of discrete ...
Blanes, Bou-Rabee, Bridges, Brockett, Bryant, Brynjulf Owren, Calvo, Calvo, Casas, Celledoni, Celledoni, Celledoni, Celledoni, Celledoni, Celledoni, Celledoni, Celledoni, Celledoni, Celledoni, Christiansen, Cortés, Crouch, Degani, Dieci, Diele, Elena Celledoni, Engø, Engø, Frank, Gonzalez, Hairer, Hairer, Hausdorff, Helmke, Hochbruck, Håkon Marthinsen, Iserles, Jensen, Krogstad, Kutta, Laskar, Lee, Lee, Leimkuhler, Lewis, Lewis, Leyendecker, Lundervold, Marsden, Marsden, McLachlan, McLachlan, McLachlan, McLachlan, Munthe-Kaas, Munthe-Kaas, Munthe-Kaas, Munthe-Kaas, Munthe-Kaas, Murray, Owren, Owren, Parr, Perez, Quispel, Romero, Saccon, Shub, Simo, Simo, Simo   +70 more
core   +1 more source

Macroscopic Market Making Games

Mathematical Finance, Volume 36, Issue 2, Page 352-373, April 2026.
ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley   +1 more source

Validity of amplitude equations for non-local non-linearities

, 2017
Amplitude equations are used to describe the onset of instability in wide classes of partial differential equations (PDEs). One goal of the field is to determine simple universal/generic PDEs, to which many other classes of equations can be reduced, at ...
Kuehn, Christian, Throm, Sebastian
core   +1 more source

Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2510-2531, 15 March 2026.
ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin, Simone Nati Poltri, Clair Poignard   +2 more
wiley   +1 more source

Functional Inequalities: New Perspectives and New Applications [PDF]

, 2012
This book is not meant to be another compendium of select inequalities, nor does it claim to contain the latest or the slickest ways of proving them.
Amir Moradifam, Council Of Canada, Nassif Ghoussoub   +2 more
core  

Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
wiley   +1 more source

Exact soliton solutions of the one-dimensional complex Swift-Hohenberg equation

, 2003
Using Painlev\'e analysis, the Hirota multi-linear method and a direct ansatz technique, we study analytic solutions of the (1+1)-dimensional complex cubic and quintic Swift-Hohenberg equations. We consider both standard and generalized versions of these
Adrian Ankiewicz, Akhmediev, Ankiewicz, Aranson, Aranson, Aranson, Bekki, Berloff, Buceta, Cariello, Chow, Conte, Cross, Garcia-Ojalvo, Hohenberg, Karlsson, Ken-ichi Maruno, Lega, Lega, Marcq, Moores, Nail Akhmediev, Nozaki, Pereira, Sakaguchi, Sakaguchi, Sanchez-Morcillo, Sanchez-Morcillo, Staliunas, Staliunas, Swift, Tribelskii, van Saarloos, Weiss   +33 more
core   +1 more source

Stable Model Reduction for Time‐Domain Room Acoustics: A Structure‐Preserving Formulation for Complex Boundaries

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT This work presents novel structure‐preserving formulations for stable model order reduction in the context of time‐domain room acoustics simulations. A solution to address the instability in conventional model order reduction formulations based on the Linearized Euler Equations is derived and validated through numerical experiments.
Satish Bonthu, Hermes Sampedro Llopis, Solvi Thrastarson, Finnur Pind, Runar Unnthorsson   +4 more
wiley   +1 more source

On the use of stabilising transformations for detecting unstable periodic orbits in the Kuramoto-Sivashinsky equation

, 2008
In this paper we develop further a method for detecting unstable periodic orbits (UPOs) by stabilising transformations, where the strategy is to transform the system of interest in such a way that the orbits become stable.
Cvitanović P., Jonathan J. Crofts, Ruslan L. Davidchack   +2 more
core   +1 more source