Search Results - modeling error in evolving Bochner spaces*

The modelling error in multi-dimensional time-dependent solute transport models

Authors: Masri, Rami Zeinhofer, Marius Kuchta, Miroslav et al.

Source: arXiv

Subject Terms: Physiological flow, 0301 basic medicine, Smoothness and regularity of solutions to PDEs, Flows in porous media, filtration, seepage, Numerical Analysis (math.NA), PDEs in connection with fluid mechanics, Physiological flows, A priori estimates in context of PDEs, modeling error in evolving Bochner spaces, Diffusion, solute transport models, Second-order elliptic equations, 03 medical and health sciences, Error bounds for initial value and initial-boundary value problems involving PDEs, Mathematics - Analysis of PDEs, 0302 clinical medicine, 35K45, 65G99, 65J08, 65M15, 92-10, FOS: Mathematics, time dependent convection-diffusion, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, multi-dimensional modeling, Mathematics - Numerical Analysis, Computational methods for problems pertaining to biology, Finite element methods applied to problems in fluid mechanics, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/abs/2303.17999
https://zbmath.org/7957223
https://doi.org/10.1051/m2an/2024060

The modelling error in multi-dimensional time-dependent solute transport models

Authors: Masri, Rami Zeinhofer, Marius Kuchta, Miroslav et al.

Index Terms: Mathematics - Analysis of PDEs, Mathematics - Numerical Analysis, 35K45, 65G99, 65J08, 65M15, 92-10, text

URL: http://arxiv.org/abs/2303.17999

Nonlinear time domain and multi-scale frequency domain feature fusion for time series forecasting.

Authors: Xiao, Kejiang Li, Yefeng Dong, Yaning et al.

Source: Scientific Reports; 8/16/2025, Vol. 15 Issue 1, p1-13, 13p

Subject Terms: FORECASTING, DISCRETE wavelet transforms, ARTIFICIAL neural networks, NONLINEAR statistical models

Mini-Workshop: Data-driven Modeling, Analysis, and Control of Dynamical Systems.

Source: Oberwolfach Reports; 2024, Vol. 21 Issue 4, p3255-3299, 45p

Subject Terms: DYNAMICAL systems, MACHINE learning, POWER resources, MATHEMATICAL models

A fully discrete evolving surface finite element method for the Cahn–Hilliard equation with a regular potential.

Authors: Elliott, Charles M. Sales, Thomas

Source: Numerische Mathematik; Apr2025, Vol. 157 Issue 2, p663-715, 53p

Subject Terms: FINITE element method, POLYNOMIALS, EQUATIONS

Scientific machine learning.

Authors: Dietrich, Felix Schilders, Wil

Source: Mathematische Semesterberichte; Oct2025, Vol. 72 Issue 2, p89-115, 27p

Subject Terms: SCIENCE education, ARTIFICIAL intelligence, MACHINE learning, SCIENTIFIC computing, FLUID dynamics

DyTSSAM: A Dynamic Dependency Analysis Model Based on DAST.

Authors: Zhao, Yuxiang Jiang, Ying Huang, Peifeng

Source: Electronics (2079-9292); Nov2025, Vol. 14 Issue 22, p4443, 29p

Subject Terms: SOFTWARE maintenance, GRAPH neural networks, DATA analytics, COMPUTER software development

An evolving space framework for Oseen equations on a moving domain.

Authors: Djurdjevac, Ana Gräser, Carsten Herbert, Philip J.

Source: ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN); Sep/Oct2023, Vol. 57 Issue 5, p3113-3138, 26p

Subject Terms: HILBERT space, EQUATIONS, LINEAR equations, FINITE differences

Recent kernel methods for interacting particle systems: first numerical results.

Authors: Fiedler, Christian Herty, Michael Segala, Chiara et al.

Source: European Journal of Applied Mathematics; Apr2025, Vol. 36 Issue 2, p464-489, 26p

Subject Terms: MACHINE learning, DYNAMICAL systems, ENGINEERING, PHYSICS, BIOLOGY

Operator Learning Using Random Features: A Tool for Scientific Computing.

Authors: Nelsen, Nicholas H. Stuart, Andrew M.

Source: SIAM Review; 2024, Vol. 66 Issue 3, p535-571, 37p

Subject Terms: SCIENTIFIC computing, RANDOM operators, PARTIAL differential equations, KRIGING, SUPERVISED learning

Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems.

Authors: Kovács, Balázs Li, Buyang

Source: IMA Journal of Numerical Analysis; Jul2023, Vol. 43 Issue 4, p1937-1969, 33p

Subject Terms: NONLINEAR equations, LINEAR equations

A unified theory for continuous-in-time evolving finite element space approximations to partial differential equations in evolving domains.

Authors: Elliott, C M Ranner, T

Source: IMA Journal of Numerical Analysis; Jul2021, Vol. 41 Issue 3, p1696-1845, 150p

Subject Terms: PARTIAL differential equations, FUNCTION spaces, SET functions, BILINEAR forms

Numerical Modeling of Gas Hydrate Recycling in Complex Media: Implications for Gas Migration Through Strongly Anisotropic Layers.

Authors: Peiraviminaei, A. Gupta, S. Wohlmuth, B.

Source: Journal of Geophysical Research. Solid Earth; Nov2022, Vol. 127 Issue 11, p1-26, 26p

Subject Terms: METHANE hydrates, GAS migration, GAS hydrates, CARBON cycle, WASTE recycling, MATERIALS handling, NATURAL gas, CHIMNEYS

Space-time variational material modeling: a new paradigm demonstrated for thermo-mechanically coupled wave propagation, visco-elasticity, elasto-plasticity with hardening, and gradient-enhanced damage.

Authors: Junker, Philipp Wick, Thomas

Source: Computational Mechanics; Feb2024, Vol. 73 Issue 2, p365-402, 38p

Subject Terms: VISCOPLASTICITY, THERMODYNAMIC state variables, ELASTIC wave propagation, SPACETIME, THEORY of wave motion, CONVEX sets, WAVE equation, ELASTIC waves

Co-designing an International Nursing Course on Workplace Violence in Ethiopia, Sweden, and Tanzania: A Collective Autoethnography.

Authors: Salzmann-Erikson, Martin Eriksson, Elisabet Saol Tura, Tilahun et al.

Source: Global Qualitative Nursing Research; 11/14/2025, Vol. 12, p1-12, 12p

Subject Terms: NURSING education, PREVENTION of violence in the workplace, INTERPROFESSIONAL relations, ETHNOLOGY research, EDUCATIONAL technology, TEACHING, CONTINUING education of nurses, TEACHER development, COMPUTER assisted instruction, EMPLOYMENT in foreign countries, COOPERATIVENESS, COMMUNICATION barriers

Geographic Terms: SWEDEN, TANZANIA, ETHIOPIA

Isoperimetric inequalities in high-dimensional convex sets.

Authors: Klartag, Boaz Lehec, Joseph

Source: Bulletin (New Series) of the American Mathematical Society; Oct2025, Vol. 62 Issue 4, p575-642, 68p

Subject Terms: ISOPERIMETRIC inequalities, CONVEX sets, ISOPERIMETRICAL problems

Nonparametric Bayesian Modeling and Estimation of Spatial Correlation Functions for Global Data.

Authors: Porcu, Emilio Bissiri, Pier Giovanni Tagle, Felipe et al.

Source: Bayesian Analysis; Sep2021, Vol. 16 Issue 3, p845-873, 29p

Subject Terms: NONPARAMETRIC estimation, BAYESIAN analysis, ANALYSIS of covariance, STOCHASTIC convergence, LIPSCHITZ spaces, MACHINE learning

An energy-efficient GMRES–multigrid solver for space-time finite element computation of dynamic poroelasticity.

Authors: Anselmann, Mathias Bause, Markus Margenberg, Nils et al.

Source: Computational Mechanics; Oct2024, Vol. 74 Issue 4, p889-912, 24p

Subject Terms: FINITE element method, POROELASTICITY, POROUS materials, ENERGY consumption, SPACETIME

Error Analysis of Serendipity Virtual Element Methods for Semilinear Parabolic Integro-Differential Equations.

Authors: Xu, Yang Zhou, Zhenguo Zhao, Jingjun

Source: Journal of Scientific Computing; Aug2024, Vol. 100 Issue 2, p1-43, 43p

A SIMPLE COLLOCATION-TYPE APPROACH TO NUMERICAL STOCHASTIC HOMOGENIZATION.

Authors: HAUCK, MORITZ MOHR, HANNAH PETERSEIM, DANIEL

Source: Multiscale Modeling & Simulation; 2025, Vol. 23 Issue 1, p374-396, 23p

Subject Terms: RANDOM fields