Výsledky vyhledávání - "Numerical methods for partial differential equations, boundary value problems"

General enrichments of stable GFEM for interface problems: Theory and extreme learning machine construction: General enrichments of stable GFEM for interface problems: theory and extreme learning machine construction

Autoři: Wang, Dongmei Li, Hengguang Zhang, Qinghui

Zdroj: Applied Numerical Mathematics. 214:143-159

Témata: SGFEM, extreme learning machine, machine learning, Numerical and other methods in solid mechanics, Numerical methods for partial differential equations, boundary value problems, interface, complex geometry, Elliptic equations and elliptic systems

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8034929
https://doi.org/10.1016/j.apnum.2025.03.009

Drug release from polymeric platforms for non smooth solutions

Autoři: J.S. Borges G.C.M. Campos J.A. Ferreira a další

Zdroj: Applied Numerical Mathematics. 213:12-37

Témata: Parabolic equations and parabolic systems, Numerical methods for partial differential equations, boundary value problems, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8034915
https://doi.org/10.1016/j.apnum.2025.02.016

Spectral element method for the solution of viscoelastic seismic wave propagation

Autoři: Barzegar, Feze Rashidinia, Jalil

Zdroj: Applied Numerical Mathematics. 212:92-109

Témata: Gauss-Legendre-Lobatto points, Numerical methods for partial differential equations, boundary value problems, Basic methods in fluid mechanics, spectral element method, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, viscoelastic wave equations, error analysis

Popis souboru: application/xml

Analysis of average bound preserving time-implicit discretizations for convection-diffusion-reaction equation

Autoři: Fengna Yan Yinhua Xia

Zdroj: Applied Numerical Mathematics. 211:103-122

Témata: Parabolic equations and parabolic systems, Numerical methods for partial differential equations, boundary value problems, average bound-preserving, KKT limiter, LDG methods, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, convection-diffusion-reaction equation, implicit time discretization

Popis souboru: application/xml

Strongly consistent low-dissipation WENO schemes for finite elements

Autoři: Joshua Vedral Andreas Rupp Dmitri Kuzmin

Zdroj: Applied Numerical Mathematics. 210:64-81

Témata: consistency, a priori estimates, Numerical methods for partial differential equations, boundary value problems, residual-based nonlinear weights, Basic methods in fluid mechanics, hyperbolic conservation laws, Numerical Analysis (math.NA), continuous and discontinuous Galerkin methods, Mathematics - Analysis of PDEs, WENO scheme, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Analysis of PDEs (math.AP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2407.04646
https://zbmath.org/7984900
https://doi.org/10.1016/j.apnum.2024.12.008

The two-grid hybrid high-order method for the nonlinear strongly damped wave equation on polygonal mesh and its reduced-order model

Autoři: Lu Wang Youjun Tan Minfu Feng

Zdroj: Applied Numerical Mathematics. 210:1-24

Témata: hybrid high-order method, proper orthogonal decomposition, semi-discrete scheme, nonlinear wave equation, Numerical methods for partial differential equations, boundary value problems, fully-discrete scheme, Hyperbolic equations and hyperbolic systems, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, two-grid algorithm, polygonal mesh

Popis souboru: application/xml

Property-preserving numerical approximation of a Cahn–Hilliard–Navier–Stokes model with variable density and degenerate mobility: Property-preserving numerical approximation of a Cahn-Hilliard-Navier-Stokes model with variable density and degenerate mobility

Autoři: Daniel Acosta-Soba Francisco Guillén-González J. Rafael Rodríguez-Galván a další

Přispěvatelé: Daniel Acosta-Soba Francisco Guillén-González J. Rafael Rodríguez-Galván a další

Zdroj: Applied Numerical Mathematics, Vol. 209, 2025, pp. 68-83
RODIN. Repositorio de Objetos de Docencia e Investigación de la Universidad de Cádiz
Universidad de Cádiz

Témata: Discrete pointwise bounds, Numerical methods for partial differential equations, boundary value problems, Finite elements, Basic methods in fluid mechanics, Numerical Analysis (math.NA), discrete energy stability, upwind scheme, Upwind scheme, Discontinuous Galerkin, discrete pointwise bounds, FOS: Mathematics, finite elements, Mass-conservation, Mathematics - Numerical Analysis, Discrete energy stability, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, mass-conservation, discontinuous Galerkin

Popis souboru: application/pdf; application/xml

Přístupová URL adresa: http://arxiv.org/abs/2310.01522
http://hdl.handle.net/10498/35726

The Local Subtraction Approach for EEG and MEG Forward Modeling: The local subtraction approach for EEG and MEG forward modeling

Autoři: Malte B. Höltershinken Pia Lange Tim Erdbrügger a další

Zdroj: SIAM Journal on Scientific Computing. 47:B160-B189

Témata: Computational Engineering, Finance, and Science (cs.CE), FOS: Computer and information sciences, 03 medical and health sciences, MEG, 0302 clinical medicine, Numerical methods for partial differential equations, boundary value problems, finite element method, source analysis, EEG, Computer Science - Computational Engineering, Finance, and Science, source modeling

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2302.12785

A Finite Expression Method for Solving High-Dimensional Committor Problems: A finite expression method for solving high-dimensional committor problems

Autoři: Zezheng Song Maria K. Cameron Haizhao Yang

Zdroj: SIAM Journal on Scientific Computing. 47:C1-C21

Témata: Computer Science - Symbolic Computation, FOS: Computer and information sciences, Computer Science - Machine Learning, Numerical methods for partial differential equations, boundary value problems, deep neural network, Computational learning theory, Numerical Analysis (math.NA), Symbolic Computation (cs.SC), Symbolic computation and algebraic computation, committor functions, rare events, Machine Learning (cs.LG), finite expression method, high dimensions, Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics, FOS: Mathematics, symbolic learning, PDEs with randomness, stochastic partial differential equations, Mathematics - Numerical Analysis, Brownian motion, Artificial neural networks and deep learning, PDEs in connection with statistical mechanics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2306.12268

Treatment of 3D diffusion problems with discontinuous coefficients and Dirac curvilinear sources

Autoři: Bejaoui, E. Ben Belgacem, F.

Zdroj: Applied Numerical Mathematics. 207:400-413

Témata: variable coefficients, Numerical methods for partial differential equations, boundary value problems, Physiological, cellular and medical topics, dual variational formulation, Elliptic equations and elliptic systems, singular-regular expansion, Dirac curvilinear sources

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7952196
https://doi.org/10.1016/j.apnum.2024.09.012

A Selectively Relaxed Splitting Preconditioning Strategy for the Flux-Limited Multi-Group Radiation Diffusion Equations in Three Dimensions: A selectively relaxed splitting preconditioning strategy for the flux-limited multi-group radiation diffusion equations in three dimensions

Autoři: Yue, Xiaoqiang Zhang, Chenxi Chen, Chunyan a další

Zdroj: East Asian Journal on Applied Mathematics. 15:113-137

Témata: radiation diffusion equation, algebraic multigrid, parallel computing, Numerical methods for partial differential equations, boundary value problems, Preconditioners for iterative methods, Parallel numerical computation, selective relaxation, matrix splitting preconditioner

Popis souboru: application/xml

A Local Model Reduction Method Based on $k$-Nearest-Neighbors for Parametrized Nonlocal Problems: A local model reduction method based on \(k\)-nearest-neighbors for parametrized nonlocal problems

Autoři: Nan, Caixia Li, Qiuqi Song, Huailing

Zdroj: Communications in Computational Physics. 37:220-249

Témata: proper orthogonal decomposition, Numerical methods for partial differential equations, boundary value problems, dynamic mode decomposition, quadratic finite element method, parametrized nonlocal PDEs, surrogate model, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, \(k\)-nearest-neighbors

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8013537
https://doi.org/10.4208/cicp.oa-2024-0028

Multi-physics model bias correction with data-driven reduced order techniques: Application to nuclear case studies: Multi-physics model bias correction with data-driven reduced order techniques: application to nuclear case studies

Autoři: Stefano Riva Carolina Introini Antonio Cammi

Zdroj: Applied Mathematical Modelling. 135:243-268

Témata: reduced order modelling, Approximations and expansions, nuclear reactors, Numerical methods for partial differential equations, boundary value problems, FOS: Mathematics, multi-physics, data driven, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, model correction

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2401.07300

A bi-fidelity DeepONet approach for modeling hysteretic systems under uncertainty

Autoři: Subhayan De Patrick T. Brewick

Zdroj: Applied Mathematical Modelling. 135:708-728

Témata: Artificial intelligence, deep operator networks (DeepONets), nonlinear hysteretic systems, Numerical methods for partial differential equations, boundary value problems, multi-fidelity modeling, degrading hysteresis, residual modeling, Basic methods in fluid mechanics, seismic isolation systems

Popis souboru: application/xml

Prediction of mechanical property of open-hole composite laminates using generalized regression neural network method

Autoři: Hou, Junling Zhao, Mengfan Chen, Yujie a další

Zdroj: Acta Mechanica. 235:7553-7568

Témata: open-hole composite laminates, Numerical methods for partial differential equations, boundary value problems, finite element models, General nonlinear regression, Computational learning theory, Random materials and composite materials, PDEs with randomness, stochastic partial differential equations, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Composite and mixture properties, machine learning-based method, neural network model, Artificial neural networks and deep learning

Popis souboru: application/xml

Integral formulation of Klein–Gordon singular waveguides: Integral formulation of Klein-Gordon singular waveguides

Autoři: Bal, Guillaume Hoskins, Jeremy Quinn, Solomon a další

Zdroj: Communications on Pure and Applied Mathematics. 78:323-365

Témata: Numerical methods for partial differential equations, boundary value problems, FOS: Physical sciences, Mathematical Physics (math-ph), Numerical Analysis (math.NA), 01 natural sciences, Mathematics - Analysis of PDEs, Boundary value problems for second-order elliptic equations, FOS: Mathematics, Klein-Gordon equation, boundary integral equation, Mathematics - Numerical Analysis, 0101 mathematics, algorithm for solving integral equations, Mathematical Physics, Analysis of PDEs (math.AP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2212.12619

A 3-D extension of the Multiscale Control Volume method for the simulation of the single-phase flow in anisotropic and heterogeneous porous media: A 3-D extension of the multiscale control volume method for the simulation of the single-phase flow in anisotropic and heterogeneous porous media

Autoři: Filipe Antônio Cumaru Silva Alves Artur Castiel Reis de Souza Paulo Roberto Maciel Lyra a další

Zdroj: Applied Mathematical Modelling. 134:198-222

Témata: single-phase flow, GLS, MsCV, Flows in porous media, filtration, seepage, Numerical methods for partial differential equations, boundary value problems, background grid, Basic methods in fluid mechanics, MPFA-D

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8011661
https://doi.org/10.1016/j.apm.2024.05.045

An efficient variable step numerical method for the three-dimensional nonlinear evolution equation

Autoři: Wang, Ruru Chen, Yanping Qiao, Leijie

Zdroj: Journal of Applied Mathematics and Computing. 70:6131-6163

Témata: orthogonal spline collocation method, alternating direction implicit method, Numerical methods for partial differential equations, boundary value problems, variable step BDF2 method, stability and convergence, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Numerical methods for integral equations, integral transforms, nonlinear fractional evolution equation

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8036697
https://doi.org/10.1007/s12190-024-02206-0

Simulating time-harmonic acoustic wave effects induced by periodic holes/inclusions on surfaces

Autoři: Wen Hu Zhuojia Fu Leevan Ling

Zdroj: Applied Mathematical Modelling. 132:630-644

Témata: 35J05, 65N35, 74J05, surface PDEs, Numerical methods for partial differential equations, boundary value problems, FOS: Physical sciences, Numerical Analysis (math.NA), Mathematical Physics (math-ph), Computational Physics (physics.comp-ph), Parabolic equations and parabolic systems, generalized finite difference method, acoustic wave propagation, FOS: Mathematics, extrinsic technique, Mathematics - Numerical Analysis, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Physics - Computational Physics, Mathematical Physics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2307.10009
https://zbmath.org/7991781
https://doi.org/10.1016/j.apm.2024.05.009

Improved multi-scale fusion network for solving non-smooth elliptic interface problems with applications

Autoři: Jinyong Ying Jiao Li Qiong Liu a další

Zdroj: Applied Mathematical Modelling. 132:274-297

Témata: Artificial intelligence, solvation free energy, size-modified dielectric continuum model, deep learning method, Numerical methods for partial differential equations, boundary value problems, elliptic interface problem, the discontinuity-capturing method, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, convergence analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7991766
https://doi.org/10.1016/j.apm.2024.04.039