Search Results - finite volume methods for initial value AND initial-boundary value problems involving pre

Well-Balanced Fifth-Order Finite Volume WENO Schemes with Constant Subtraction Technique for Shallow Water Equations: Well-balanced fifth-order finite volume WENO schemes with constant subtraction technique for shallow water equations

Authors: Zhao, Lidan Tao, Zhanjing Zhang, Min

Source: Journal of Scientific Computing. 102

Subject Terms: Hydrology, hydrography, oceanography, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Geophysical flows, WENO, shallow water equations, Positive solutions to PDEs, Finite volume methods applied to problems in fluid mechanics, Numerical Analysis (math.NA), PDEs in connection with fluid mechanics, constant subtraction technique, Finite volume methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, well-balanced

File Description: application/xml

Access URL: http://arxiv.org/abs/2411.11241

Lattice Boltzmann for linear elastodynamics: Periodic problems and Dirichlet boundary conditions: Lattice Boltzmann for linear elastodynamics: periodic problems and Dirichlet boundary conditions

Authors: Oliver Boolakee Martin Geier Laura De Lorenzis

Source: Computer Methods in Applied Mechanics and Engineering. 433:117469

Subject Terms: Elastic materials, vectorial LBM, Lattice Boltzmann method, Vectorial LBM, Numerical Analysis (math.NA), 01 natural sciences, elastodynamics, Finite volume methods for initial value and initial-boundary value problems involving PDEs, lattice Boltzmann method, Finite volume methods applied to problems in solid mechanics, 0103 physical sciences, Elastodynamics, FOS: Mathematics, Particle methods and lattice-gas methods, Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis

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Access URL: http://arxiv.org/abs/2408.01081

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

Authors: Feng, Lei Wang, Jun

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

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

Modified method of characteristics for solving population balance equations

Authors: Laurent Pilon Raymond Viskanta

Source: International Journal for Numerical Methods in Fluids. 42:1211-1236

Subject Terms: Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs, two-phase flow, Other numerical methods (fluid mechanics), 0103 physical sciences, particulate flows, Multiphase and multicomponent flows, 02 engineering and technology, dispersed phases, 0210 nano-technology, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2037663
https://doi.org/10.1002/fld.586
https://escholarship.org/uc/item/6qh803tc.pdf
http://ui.adsabs.harvard.edu/abs/2003IJNMF..42.1211P/abstract
https://escholarship.org/uc/item/6qh803tc?view=search
https://escholarship.org/content/qt6qh803tc/qt6qh803tc.pdf?t=lnps98
https://escholarship.org/uc/item/6qh803tc
https://www.seas.ucla.edu/~pilon/Publications/Int%20J%20Num%20Meth%20Fluids2003.pdf

Cell-Centred Finite Difference Methodology for Solving Partial Differential Equations on an Unstructured Mesh.

Authors: Situ, J. J. Barron, R. M. Higgins, M.

Source: AIP Conference Proceedings; 11/27/2011, Vol. 1368 Issue 1, p65-68, 4p, 4 Diagrams, 1 Graph

Subject Terms: FINITE differences, PARTIAL differential equations, MATHEMATICAL variables, BOUNDARY value problems, NEUMANN problem, APPROXIMATION theory, TOPOLOGY

A second-order scheme for Maxwell's equations with dielectric permittivity discontinuities and total field-scattered field boundaries.

Authors: Ismagilov, TimurZ.

Source: International Journal of Computer Mathematics; Jul2012, Vol. 89 Issue 10, p1378-1387, 10p, 3 Diagrams, 3 Charts, 6 Graphs

Subject Terms: MAXWELL equations, PERMITTIVITY, DIELECTRICS, FINITE volume method, NUMERICAL analysis, BOUNDARY value problems, APPROXIMATION theory, DERIVATIVES (Mathematics)

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

Authors: Edwards, Darren J.

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

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

Experimental and Numerical Investigations on the Dynamic Response of Steel Piles Embedded in Crushed Limestone Material under Impact Loading.

Authors: Yosef, Tewodros Y. Fang, Chen Faller, Ronald K. et al.

Source: Geotechnical & Geological Engineering; Sep2024, Vol. 42 Issue 7, p6253-6277, 25p

Subject Terms: SOIL mechanics, STRAIN rate, FINITE element method, IMPACT testing, SOIL-structure interaction

Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations.

Authors: McGreivy, Nick Hakim, Ammar

Source: Nature Machine Intelligence; Oct2024, Vol. 6 Issue 10, p1256-1269, 14p

Population-scale modelling of cellular chemotaxis and aggregation.

Authors: Fozard, J. A. King, J. R.

Source: IMA Journal of Applied Mathematics; Feb2008, Vol. 73 Issue 1, p69-106, 38p

Subject Terms: CHEMOTAXIS, COMPUTER simulation, INITIAL value problems, SIMULATION methods & models, MATHEMATICAL models

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

Authors: Li, Chuan Ren, Yiming Long, Guangqing et al.

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

A physics-inspired neural network to solve partial differential equations – application in diffusion-induced stress.

Authors: Xue, Yuan Li, Yong Zhang, Kai et al.

Source: Physical Chemistry Chemical Physics (PCCP); 4/7/2022, Vol. 24 Issue 13, p7937-7949, 13p

Higher-order accurate space-time schemes for computational astrophysics-Part I: finite volume methods.

Authors: Balsara, Dinshaw

Source: Living Reviews in Computational Astrophysics; 12/11/2017, Vol. 3 Issue 1, p1-138, 138p

Subject Terms: SPACETIME, ASTROPHYSICS, FINITE volume method, ALGORITHMS, GALERKIN methods

Predicting Transient Anomalous Transport in Two‐Dimensional Discrete Fracture Networks With Dead‐End Fractures.

Authors: Sun, HongGuang Lei, Dawei Zhang, Yong et al.

Source: Water Resources Research; Jan2025, Vol. 61 Issue 1, p1-27, 27p

Subject Terms: PROBABILITY density function, FLOW simulations, ROCK deformation, SENSITIVITY analysis, PREDICTION models

Physics-Based Neural Network Methods for Solving Parameterized Singular Perturbation Problem.

Authors: Lazovskaya, Tatiana Malykhina, Galina Tarkhov, Dmitry

Source: Computation; Sep2021, Vol. 9 Issue 9, p97-97, 1p

Subject Terms: SINGULAR perturbations, ORDINARY differential equations, FINITE element method, CYBER physical systems, COMPUTATIONAL complexity, MACHINE learning

Groundwater Management and Allocation Models: A Review.

Authors: Norouzi Khatiri, Khadijeh Nematollahi, Banafsheh Hafeziyeh, Samira et al.

Source: Water (20734441); Jan2023, Vol. 15 Issue 2, p253, 26p

Subject Terms: GROUNDWATER management, BIBLIOMETRICS, SOCIAL choice, PREDICTION models, GROUNDWATER, WATER demand management

Mixing Ratios With Age: Application to Preasymptotic One‐Dimensional Equilibrium Bimolecular Reactive Transport in Porous Media.

Authors: Gurung, Deviyani Ginn, Timothy R.

Source: Water Resources Research; Jul2020, Vol. 56 Issue 7, p1-24, 24p

Subject Terms: POROUS materials, MASS transfer, EQUILIBRIUM, INDEPENDENT variables

Groundwater Remediation through Pump-Treat-Inject Technology Using Optimum Control by Artificial Intelligence (OCAI).

Authors: Sadeghfam, Sina Hassanzadeh, Yousef Khatibi, Rahman et al.

Source: Water Resources Management; Feb2019, Vol. 33 Issue 3, p1123-1145, 23p

Subject Terms: GROUNDWATER remediation, ARTIFICIAL intelligence, FUZZY logic, GENETIC programming, POLLUTANTS

A review of the spectral, pseudo-spectral, finite-difference and finite-element modelling techniques for geophysical imaging.

Authors: Virieux, Jean Calandra, Henri Plessix, René-Édouard

Source: Geophysical Prospecting; Sep2011, Vol. 59 Issue 5, p794-813, 20p

Subject Terms: FINITE element method, FINITE differences, SPECTRAL theory, MATHEMATICAL models, IMAGING systems in geophysics, ELECTROMAGNETISM, APPROXIMATION theory, GALERKIN methods

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

Authors: Khan, Muhammad Sabeel Abualnaja, Khadijah M. Sagheer, Ayesha et al.

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

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