Results 31 to 40 of about 87 (84)
Designing universal causal deep learning models: The geometric (Hyper)transformer
Mathematical Finance, Volume 34, Issue 2, Page 671-735, April 2024.Abstract Several problems in stochastic analysis are defined through their geometry, and preserving that geometric structure is essential to generating meaningful predictions. Nevertheless, how to design principled deep learning (DL) models capable of encoding these geometric structures remains largely unknown.
Beatrice Acciaio +2 more
wiley +1 more source
The forbidden region for random zeros: Appearance of quadrature domains
Communications on Pure and Applied Mathematics, Volume 77, Issue 3, Page 1766-1849, March 2024.Abstract Our main discovery is a surprising interplay between quadrature domains on the one hand, and the zeros of the Gaussian Entire Function (GEF) on the other. Specifically, consider the GEF conditioned on the rare hole event that there are no zeros in a given large Jordan domain.
Alon Nishry, Aron Wennman
wiley +1 more source
Miura transformation for the “good” Boussinesq equation
Studies in Applied Mathematics, Volume 152, Issue 1, Page 73-110, January 2024.Abstract It is well known that each solution of the modified Korteveg–de Vries (mKdV) equation gives rise, via the Miura transformation, to a solution of the Korteveg–de Vries (KdV) equation. In this work, we show that a similar Miura‐type transformation exists also for the “good” Boussinesq equation.
C. Charlier, J. Lenells
wiley +1 more source
Infinite dimensional weak Dirichlet processes, stochastic PDEs and optimal control
, 2014 The present paper continues the study of infinite dimensional calculus via regularization, started by C. Di Girolami and the second named author, introducing the notion of "weak Dirichlet process" in this context.
Russo, Francesco, Fabbri, Giorgio
core +1 more source
, 2022 Recent innovations in mathematics, computer science, and engineering have enabled more and more sophisticated numerical simulations. However, some simulations remain computationally unaffordable, even for the most powerful supercomputers. Lately, machine
Novello, Paul
core
, 2015 This thesis is concerned with the numerical solution of boundary value problems (BVPs) governed by semilinear elliptic partial differential equations (PDEs).
Pabel, Roland
core
Integrable nonlinear evolution equations in three spatial dimensions. [PDF]
Proc Math Phys Eng Sci, 2022 Fokas AS.
europepmc +1 more source
On source terms and boundary conditions using arbitrary high order discontinuous Galerkin schemes
, 2007 This article is devoted to the discretization of source terms and boundary conditions using discontinuous Galerkin schemes with an arbitrary high order of accuracy in space and time for the solution of hyperbolic conservation laws on unstructured ...
Munz, C. D., Dumbser, M.
core
Optimal control on a metric graph for a damped linear fractional hyperbolic problem
The optimal control of fractional PDEs has been extensively studied in standard domains, but the existence and uniqueness of optimal controls in metric graphs, particularly for hyperbolic equations, remain less explored.
Pasquini Fotsing Soh
core +1 more source
Master's thesis for the fulfillment of the Interdepartmental Postgraduate program in "Applied Mathematics", coordinated by the School of Production Engineering and Management of the Technical University of Crete.Summarization: In this thesis we use ...
Malamas Ilias(http://users.isc.tuc.gr/~imalamas) +1 more
core +1 more source