Výsledky vyhledávání - domain decomposition for initial value and initial-boundary value problems involving pres

Review of Physics-Informed Neural Networks: Challenges in Loss Function Design and Geometric Integration.

Autoři: Plankovskyy, Sergiy Tsegelnyk, Yevgen Shyshko, Nataliia a další

Zdroj: Mathematics (2227-7390); Oct2025, Vol. 13 Issue 20, p3289, 51p

Témata: PARTIAL differential equations, BOUNDARY value problems, INTEGRALS, SIMULATION software, ENGINEERING models, COST functions, MACHINE learning

A pretraining domain decomposition method using artificial neural networks to solve elliptic PDE boundary value problems.

Autoři: Seo, Jeong-Kweon

Zdroj: Scientific Reports; 10/14/2022, Vol. 12 Issue 1, p1-16, 16p

Témata: DOMAIN decomposition methods, BOUNDARY value problems, PARTIAL differential equations, ARTIFICIAL neural networks, DECOMPOSITION method, MACHINE learning

FER/SubDomain: An Integrated Environment for Finite Element Analysis using Object-Oriented Approach: FER/SubDomain: An integrated environment for finite element analysis using object-oriented approach.

Autoři: Feng, Zhi-Qiang Cros, Jean-Michel Davesne, Frédéric

Přispěvatelé: Feng, Zhi-Qiang Cros, Jean-Michel Davesne, Frédéric

Zdroj: ESAIM: Mathematical Modelling and Numerical Analysis. 36:773-781

Témata: Other programming paradigms (object-oriented, sequential, concurrent, automatic, etc.), domain decomposition, Finite element methods applied to problems in solid mechanics, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, graphical interface, Computer graphics, computational geometry (digital and algorithmic aspects), 0211 other engineering and technologies, object-oriented programming, Object-oriented programming, 02 engineering and technology, 0101 mathematics, [SPI.MECA] Engineering Sciences [physics]/Mechanics [physics.med-ph], 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.esaim-m2an.org/articles/m2an/pdf/2002/05/m2anns7.pdf
https://www.esaim-m2an.org/articles/m2an/pdf/2002/05/m2anns7.pdf
https://www.esaim-m2an.org/articles/m2an/abs/2002/05/m2anns7/m2anns7.html
http://www.esaim-m2an.org/articles/m2an/pdf/2002/05/m2anns7.pdf
http://archive.numdam.org/ARCHIVE/M2AN/M2AN_2002__36_5/M2AN_2002__36_5_773_0/M2AN_2002__36_5_773_0.pdf
https://eudml.org/doc/194125
http://archive.numdam.org/article/M2AN_2002__36_5_773_0.pdf
https://hal.science/hal-01179969v1
https://doi.org/10.1051/m2an:2002044

Spectral methods for hyperbolic initial boundary value problems on parallel computers

Autoři: Pravir Dutt Smita Bedekar

Zdroj: Journal of Computational and Applied Mathematics. 134:165-190

Témata: Iterative numerical methods for linear systems, Parallel pre-conditioners, Error estimates for the analytic case, Applied Mathematics, Exponential accuracy, Numerical computation of matrix norms, conditioning, scaling, initial boundary value problems, Galerkin-Collocation method, p and h–p versions of FEM, Energy estimates on multidomains, Parallel numerical computation, 01 natural sciences, Domain decomposition methods, Computational Mathematics, preconditioning, linear hyperbolic systems, spectral methods, conjugate gradient method, Symmetric formulation, Initial value problems for first-order hyperbolic systems, 0101 mathematics, Well posedness of continuity boundary conditions, parallel computation, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1659480
https://doi.org/10.1016/s0377-0427(00)00535-5
https://www.sciencedirect.com/science/article/abs/pii/S0377042700005355
https://www.sciencedirect.com/science/article/pii/S0377042700005355
https://dialnet.unirioja.es/servlet/articulo?codigo=725356
https://ui.adsabs.harvard.edu/abs/2001JCoAM.134..165D/abstract

Model order reduction based on Laguerre orthogonal polynomials for parabolic equation constrained optimal control problems.

Autoři: Miao, Zhen Wang, Li Cheng, Gao-yuan a další

Zdroj: International Journal of Computer Mathematics; Mar2024, Vol. 101 Issue 3, p237-254, 18p

Témata: LAGUERRE polynomials, PONTRYAGIN'S minimum principle, INITIAL value problems, COST functions, ORDINARY differential equations, ORTHOGONAL polynomials

Physics-informed neural networks with domain decomposition for the incompressible Navier–Stokes equations.

Autoři: Gu, Linyan Qin, Shanlin Xu, Lei a další

Zdroj: Physics of Fluids; Feb2024, Vol. 36 Issue 2, p1-21, 21p

Témata: NAVIER-Stokes equations, DOMAIN decomposition methods, FLOW simulations, INCOMPRESSIBLE flow, INVERSE problems, DIFFERENTIAL equations

A Numerical Simulation Study of Complex Multi-Source Groundwater Based on PKAN.

Autoři: Feng, Lei Wang, Jun

Zdroj: Water (20734441); Apr2025, Vol. 17 Issue 7, p1075, 15p

Témata: NUMERICAL functions, GROUNDWATER flow, SIMULATION methods & models, COMPUTER simulation, SENSITIVITY analysis

Further N -Frame networking dynamics of conscious observer-self agents via a functional contextual interface: predictive coding, double-slit quantum mechanical experiment, and decision-making fallacy modeling as applied to the measurement problem in humans and AI

Autoři: Edwards, Darren J.

Zdroj: Frontiers in Computational Neuroscience; 2025, p1-53, 53p

Témata: LANGUAGE models, ARTIFICIAL intelligence, COGNITIVE bias, QUANTUM operators, COGNITIVE maps (Psychology)

A critical assessment of the parabolized stability equations.

Autoři: Towne, Aaron Rigas, Georgios Colonius, Tim

Zdroj: Theoretical & Computational Fluid Dynamics; Aug2019, Vol. 33 Issue 3/4, p359-382, 24p

Témata: INITIAL value problems, BOUNDARY value problems, EQUATIONS, NAVIER-Stokes equations, MATHEMATICAL regularization

COMPARISON BETWEEN GLOBAL, CLASSICAL DOMAIN DECOMPOSITION AND LOCAL, SINGLE AND DOUBLE COLLOCATION METHODS BASED ON RBF INTERPOLATION FOR SOLVING CONVECTION-DIFFUSION EQUATION.

Autoři: GUTIERREZ, GAIL FLOREZ, WHADY

Zdroj: International Journal of Modern Physics C: Computational Physics & Physical Computation; Nov2008, Vol. 19 Issue 11, p1737-1751, 15p, 5 Graphs

Témata: COLLOCATION methods, INTERPOLATION, DECOMPOSITION method, BOUNDARY value problems, APPROXIMATION theory

A Fast Sine Transform Accelerated High-Order Finite Difference Method for Parabolic Problems over Irregular Domains.

Autoři: Li, Chuan Ren, Yiming Long, Guangqing a další

Zdroj: Journal of Scientific Computing; May2023, Vol. 95 Issue 2, p1-38, 38p

MT-PINNs: multi-term physics-informed neural networks for solving initial boundary value problems of 2D and 3D nonlinear telegraph equations.

Autoři: Tamirie Deresse, Alemayehu Senbeta Bekela, Alemu Temesgen Dufera, Tamirat

Zdroj: Boundary Value Problems; 9/30/2025, Vol. 2025 Issue 1, p1-29, 29p

Témata: BOUNDARY value problems, PARTIAL differential equations, SIMULATION methods & models, STATISTICAL accuracy, PARAMETERIZATION, DEEP learning, NONLINEAR wave equations, ARTIFICIAL neural networks

Neural network-based numerical analysis of some convection-diffusion-based initial boundary-value problems.

Autoři: Khan, Muhammad Sabeel Abualnaja, Khadijah M. Sagheer, Ayesha a další

Zdroj: AIP Advances; Dec2024, Vol. 14 Issue 12, p1-14, 14p

Témata: NUMERICAL solutions to boundary value problems, PARTIAL differential equations, NONLINEAR differential equations, BOUNDARY value problems, NUMERICAL analysis, TRANSPORT equation

Meta-Learning-Based Physics-Informed Neural Network: Numerical Simulations of Initial Value Problems of Nonlinear Dynamical Systems Without Labeled Data and Correlation Analyses.

Autoři: Duanyai, Worrawat Weon Keun Song Chitthamlerd, Thanadol a další

Zdroj: Journal of Nonlinear Modeling & Analysis; 2024, Vol. 6 Issue 2, p485-513, 29p

Témata: ARTIFICIAL neural networks, INITIAL value problems, NONLINEAR dynamical systems, STOCHASTIC convergence, DATA analysis

Fractional regularisation of the Cauchy problem for Laplace's equation and application in some free boundary value problems.

Autoři: Kaltenbacher, Barbara Rundell, William

Zdroj: Mathematics of Computation; Mar2025, Vol. 94 Issue 352, p647-679, 33p

Témata: LAPLACE'S equation, BOUNDARY value problems, PARTIAL differential equations, NEWTON-Raphson method, HARMONIC functions

Physics-informed machine learning for advancing computational medical imaging: integrating data-driven approaches with fundamental physical principles.

Autoři: Ahmadi, Mohsen Biswas, Debojit Lin, Maohua a další

Zdroj: Artificial Intelligence Review; Oct2025, Vol. 58 Issue 10, p1-49, 49p

Témata: COMPUTER-assisted image analysis (Medicine), MACHINE learning, PHYSICAL laws, BOUNDARY value problems, ARTIFICIAL intelligence

The initial boundary value problem and quasi-local Hamiltonians in general relativity.

Autoři: An, Zhongshan Anderson, Michael T

Zdroj: Classical & Quantum Gravity; 8/5/2021, Vol. 38 Issue 15, p1-28, 28p

Témata: INITIAL value problems, BOUNDARY value problems, GENERAL relativity (Physics), PHASE space

Geografický termín: GREECE

Multi-domain physics-informed neural networks for solving transient heat conduction problems in multilayer materials.

Autoři: Zhang, Benrong Wang, Fajie Qiu, Lin

Zdroj: Journal of Applied Physics; 6/28/2023, Vol. 133 Issue 24, p1-17, 17p

Témata: HEAT conduction, ARTIFICIAL neural networks, DEEP learning, TEMPERATURE distribution

A domain decomposition approach for wave propagation into a layered domain: A domain decomposition approach for wave propagation...: A. Ricciardello.

Autoři: Ricciardello, Angela

Zdroj: Ricerche di Matematica; Feb2025, Vol. 74 Issue 1, p79-89, 11p

Existence and uniqueness of renormalized solutions for initial boundary value parabolic problems with possibly very singular right-hand side.

Autoři: Abdellaoui, M. Redwane, H.

Zdroj: Abhandlungen Aus Dem Mathematischen Seminar Der Universität Hamburg; Oct2022, Vol. 92 Issue 2, p209-245, 37p