Results 31 to 40 of about 173,975,381 (346)
APEBench: A Benchmark for Autoregressive Neural Emulators of PDEs [PDF]
Neural Information Processing SystemsWe introduce the Autoregressive PDE Emulator Benchmark (APEBench), a comprehensive benchmark suite to evaluate autoregressive neural emulators for solving partial differential equations.
Felix Koehler +3 more
semanticscholar +1 more source
DNN Expression Rate Analysis of High-Dimensional PDEs: Application to Option Pricing [PDF]
Constructive approximation, 2018 We analyze approximation rates by deep ReLU networks of a class of multivariate solutions of Kolmogorov equations which arise in option pricing. Key technical devices are deep ReLU architectures capable of efficiently approximating tensor products ...
Dennis Elbrächter +3 more
semanticscholar +1 more source
Complex Singularity Analysis for a Nonlinear PDE [PDF]
Communications in Partial Differential Equations, 2006 We introduce a method of rigorous analysis of the location and type of complex singularities for nonlinear higher order PDEs as a function of the initial data. The method is applied to determine rigorously the asymptotic structure of singularities of the modified Harry-Dym equation $$ H_t + H_y = - {1/2} H^3 + H^3 H_{yyy} : H(y, 0) = y^{-1/2} $$ for ...
Costin, O., Tanveer, S.
openaire +2 more sources
On k-wave solutions of quasilinear systems of partial differential equations [PDF]
Open Communications in Nonlinear Mathematical PhysicsIn this paper, we establish a relation between two seemingly unrelated concepts for solving first-order hyperbolic quasilinear systems of partial differential equations in many dimensions. These concepts are based on a variant of the conditional symmetry
Alfred Michel Grundland
doaj +1 more source
A hybrid iterative neural solver based on spectral analysis for parametric PDEs [PDF]
Journal of Computational PhysicsDeep learning-based hybrid iterative methods (DL-HIM) have emerged as a promising approach for designing fast neural solvers to tackle large-scale sparse linear systems.
Chen Cui, Kai Jiang, Yun Liu, Shi Shu
semanticscholar +1 more source
Non-linear coupled CNN models for multiscale image analysis [PDF]
, 2006 A CNN model of partial differential equations (PDEs) for image multiscale analysis is proposed. The model is based on a polynomial representation of the diffusivity function and defines a paradigm of polynomial CNNs,for approximating a large class of ...
Corinto, Fernando +2 more
core +1 more source
Evidence Based Library and Information Practice, 2023 A Review of: Dali, K., Bell, N., & Valdes, Z. (2021). Learning and change through diversity, equity, and inclusion professional development: Academic librarians’ perspectives. Journal of Academic Librarianship, 47(6), 102448.
Eugenia Opuda
doaj +1 more source
On some PDEs involving homogeneous operators. Spectral analysis, semigroups and Hardy inequalities
, 2022 Motivated by the analysis of homogeneous operators and semigroups in [10], in this paper we perform an spectral analysis of homogeneous operators and give simple characterization of generators of homoge- neous semigroups and of homogeneous sectorial ...
Rodríguez Bernal, Aníbal +3 more
core +1 more source
Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs [PDF]
E S A I M: Control, Optimisation and Calculus of Variations, 2020 We analyze the sensitivity of the extremal equations that arise from the first order necessary optimality conditions of nonlinear optimal control problems with respect to perturbations of the dynamics and of the initial data.
L. Grüne, M. Schaller, A. Schiela
semanticscholar +1 more source
Stability Analysis of Second-Order Linear PDEs on Time Scales
Discrete Dynamics in Nature and Society, 2023 This paper presents the stability analysis of a class of second-order linear partial differential equations (PDEs) on time scales with diffusion operator and first-order partial derivative.
Ruihong Liu +4 more
doaj +1 more source