Search Results - boundary element methods for initial value AND initial-boundary value problems involving pred*

A front-tracking immersed-boundary framework for simulating Lagrangian melting problems

Authors: Kevin Zhong Christopher J. Howland Detlef Lohse et al.

Source: Journal of Computational Physics. 525:113762

Subject Terms: Stefan problems, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, fluid-solid interaction, phase change, multiphase flow, one-fluid model, eulerian-Lagrangian, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, turbulent flows, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Boundary element methods for initial value and initial-boundary value problems involving PDEs, immersed boundary method, Boundary element methods applied to problems in fluid mechanics, meshing, heat transfer

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Access URL: http://arxiv.org/abs/2409.20244
https://zbmath.org/8021068
https://doi.org/10.1016/j.jcp.2025.113762

Orthogonal wavelet method for multi-stage expansion and contraction options under stochastic volatility

Authors: Dana Černá

Source: Applied Numerical Mathematics. 212:155-175

Subject Terms: Richardson extrapolation, Numerical methods (including Monte Carlo methods), Crank-Nicolson scheme, wavelet, Numerical methods for wavelets, real option, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, stochastic volatility, Galerkin method, Corporate finance (dividends, real options, etc.)

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Deep Learning-Based Computational Method for Soft Matter Dynamics: Deep Onsager-Machlup Method: Deep learning-based computational method for soft matter dynamics: deep Onsager-Machlup method

Authors: Li, Zhihao Zou, Boyi Wang, Haiqin et al.

Source: Communications in Computational Physics. 37:353-382

Subject Terms: Onsager-Machlup functional, Soft Condensed Matter (cond-mat.soft), FOS: Physical sciences, Deep learning, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Irreversible thermodynamics, including Onsager-Machlup theory, Condensed Matter - Soft Condensed Matter, Neural networks for/in biological studies, artificial life and related topics, variational method, soft matter dynamics, Artificial neural networks and deep learning

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Access URL: http://arxiv.org/abs/2308.14513
https://zbmath.org/8033880
https://doi.org/10.4208/cicp.oa-2023-0294

Adaptive Uncertainty Quantification for Stochastic Hyperbolic Conservation Laws: Adaptive uncertainty quantification for stochastic hyperbolic conservation laws

Authors: Jake J. Harmon Svetlana Tokareva Anatoly Zlotnik et al.

Source: SIAM/ASA Journal on Uncertainty Quantification. 13:339-374

Subject Terms: Numerical solutions to stochastic differential and integral equations, uncertainty quantification, error estimation, 35L60, 35L67, 65C30, 65M50, 65M60, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, mesh refinement, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, stochastic finite volumes, First-order nonlinear hyperbolic equations, Shocks and singularities for hyperbolic equations, adaptivity

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Access URL: http://arxiv.org/abs/2401.12880

Space–time adaptive ADER-DG finite element method with LST-DG predictor and a posteriori sub-cell ADER-WENO finite-volume limiting for multidimensional detonation waves simulation: Space-time adaptive ADER-DG finite element method with LST-DG predictor and \textit{a posteriori} sub-cell ADER-WENO finite-volume limiting for multidimensional detonation waves simulation

Authors: Popov, I. S.

Source: Computers & Fluids. 284:106425

Subject Terms: LST-DG predictor, Reaction effects in flows, HRS, a posteriori limitation, physical gas dynamics, FOS: Physical sciences, computational fluid dynamics, Applied Physics (physics.app-ph), reactive flows, PDEs in connection with fluid mechanics, Shocks and singularities for hyperbolic equations, Mathematics - Analysis of PDEs, FOS: Mathematics, Fluid mechanics, Mathematics - Numerical Analysis, HRSCS, Finite volume methods for boundary value problems involving PDEs, Fluid Dynamics (physics.flu-dyn), Finite volume methods applied to problems in fluid mechanics, detonation waves, Physics - Fluid Dynamics, Physics - Applied Physics, Numerical Analysis (math.NA), Computational Physics (physics.comp-ph), Waves in compressible fluids, Euler equations, Shock waves and blast waves in fluid mechanics, 76M10, 76M12, 65M60, 65N08, 76N30, 76V05, 76L05, 35L67, 35Q31, 35Q35, 35L40, ADER-DG, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Physics - Computational Physics, First-order hyperbolic systems, Finite element methods applied to problems in fluid mechanics, ADER-WENO-FV, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2409.09911

An Improved Modified Ghost Fluid Method for Compressible Multi-Medium Fluid Flows: An improved modified ghost fluid method for compressible multi-medium fluid flows

Authors: Zhang, Xiaotao Feng, Chengliang Yu, Changsheng et al.

Source: Communications in Computational Physics. 36:1339-1377

Subject Terms: modified ghost fluid method, Hyperbolic conservation laws, Basic methods in fluid mechanics, Gas dynamics (general theory), Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, radially symmetric flows, balanced boundary conditions, multi-medium compressible flows

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Access URL: https://zbmath.org/7973776
https://doi.org/10.4208/cicp.oa-2023-0259

A non-intrusive reduced-order modeling for uncertainty propagation of time-dependent problems using a B-splines Bézier elements-based method and proper orthogonal decomposition: Application to dam-break flows: A non-intrusive reduced-order modeling for uncertainty propagation of time-dependent problems using a B-splines Bézier elements-based method and proper orthogonal decomposition: application to dam-break flows

Authors: Azzedine Abdedou Azzeddine Soulaïmani

Source: Computers & Mathematics with Applications. 102:187-205

Subject Terms: FOS: Computer and information sciences, B-splines Bézier elements method, Navier-Stokes equations for incompressible viscous fluids, 0211 other engineering and technologies, uncertainty propagation, Numerical Analysis (math.NA), 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, Computational Engineering, Finance, and Science (cs.CE), proper orthogonal decomposition, dam-break flows, 0103 physical sciences, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, Computer Science - Computational Engineering, Finance, and Science, Finite element methods applied to problems in fluid mechanics

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Access URL: http://arxiv.org/abs/2105.09300
https://dblp.uni-trier.de/db/journals/corr/corr2105.html#abs-2105-09300
https://arxiv.org/abs/2105.09300
https://www.sciencedirect.com/science/article/pii/S0898122121003540
https://espace2.etsmtl.ca/id/eprint/23510/

Unconditional superconvergence of the fully-discrete schemes for nonlinear prey-predator model

Authors: Dongyang Shi Sihui Zhang

Source: Applied Numerical Mathematics. 172:118-132

Subject Terms: Population dynamics (general), PDEs in connection with biology, chemistry and other natural sciences, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, prey-predator model, splitting technique, stability, 0101 mathematics, Computational methods for problems pertaining to biology, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, linearized BE and BDF schemes, 01 natural sciences, unconditional supercloseness and superconvergence

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Access URL: https://zbmath.org/7441546
https://doi.org/10.1016/j.apnum.2021.10.002
https://www.sciencedirect.com/science/article/pii/S0168927421002774

Accurate and robust predictions for model order reduction via an adaptive, hybrid FOM/ROM approach

Authors: Riffaud, Sébastien

Contributors: Riffaud, Sébastien

Source: Journal of Computational Physics. 523:113677

Subject Terms: reduced-order model, adaptive model reduction, hyper-reduction, [MATH] Mathematics [math], Proper orthogonal decomposition, Reduced-order model, Error estimation, Adaptive model reduction, proper orthogonal decomposition, error estimation, Hyper-reduction, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

File Description: application/xml; application/pdf

Access URL: https://inria.hal.science/hal-04361506v3
https://doi.org/10.1016/j.jcp.2024.113677
https://inria.hal.science/hal-04361506v3/document

High order conservative LDG-IMEX methods for the degenerate nonlinear non-equilibrium radiation diffusion problems

Authors: Zheng, Shaoqin Tang, Min Zhang, Qiang et al.

Source: Journal of Computational Physics. 503:112838

Subject Terms: predictor-corrector procedure, IMEX, 0103 physical sciences, conservative, non-equilibrium radiation diffusion, local discontinuous Galerkin method, high order, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, 01 natural sciences

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Access URL: http://arxiv.org/abs/2401.15941
https://zbmath.org/7833833
https://doi.org/10.1016/j.jcp.2024.112838

Exact solution and its pertinent numerical methodology for wave equation subject to local boundary or nonlocal integral conditions.

Authors: Hwang, Yao-Hsin Lin, Pi-Yen

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

Subject Terms: WAVE equation, PARTICLE methods (Numerical analysis), BOUNDARY element methods, SIMULATION software, DISCRETIZATION methods, APPROXIMATION error, BOUNDARY value problems

Physics-Informed Geometry-Aware Neural Operator: Physics-informed geometry-aware neural operator

Authors: Weiheng Zhong Hadi Meidani

Source: Computer Methods in Applied Mechanics and Engineering. 434:117540

Subject Terms: FOS: Computer and information sciences, Computer Science - Machine Learning, physics-informed deep learning, geometry generalization, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), neural operator, Artificial neural networks and deep learning, Machine Learning (cs.LG)

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Access URL: http://arxiv.org/abs/2408.01600

Numerical solution for series sine-Gordon equations using variational method and finite element approximation

Authors: Quan-Fang Wang

Source: Applied Mathematics and Computation. 168:567-599

Subject Terms: numerical examples, convergence, algorithm, semidiscretization, variational methods, Gauss-Legendre quadrature, Sine-Gordon equations, 01 natural sciences, Inference from stochastic processes and prediction, KdV equations (Korteweg-de Vries equations), finite element methods, Runge-Kutta method, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

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Access URL: https://zbmath.org/2223249
https://doi.org/10.1016/j.amc.2004.09.012
https://dblp.uni-trier.de/db/journals/amc/amc168.html#Wang05d
https://www.sciencedirect.com/science/article/pii/S0096300304006253
https://dl.acm.org/doi/10.1016/j.amc.2004.09.012

Approximation and Prediction of the Numerical Solution of Some Burgers Problems: Approximation and prediction of the numerical solution of some Burgers problems

Authors: Marc Prévost Denis Vekemans

Source: Numerical Algorithms. 33:421-431

Subject Terms: Extrapolation to the limit, deferred corrections, \(\varepsilon\)-prediction, Error bounds for initial value and initial-boundary value problems involving PDEs, KdV equations (Korteweg-de Vries equations), Burgers problem, finite element method, parabolic initial-boundary value problem, vector prediction, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Aitken's \(\Delta^2\)-prediction, Gauss-Seidel method, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/1992799

Sapphire++: A Particle Transport Code Combining a Spherical Harmonic Expansion and the Discontinuous Galerkin Method: Sapphire++: a particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method

Authors: Nils W. Schween Florian Schulze Brian Reville

Source: Journal of Computational Physics. 523:113690

Subject Terms: High Energy Astrophysical Phenomena (astro-ph.HE), particle acceleration, Vlasov-Fokker-Planck, spherical harmonics, FOS: Physical sciences, discontinuous Galerkin method, Physics - Plasma Physics, Plasma Physics (physics.plasm-ph), cosmic rays, numerical methods, Packaged methods for numerical algorithms, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Astrophysics - High Energy Astrophysical Phenomena, Astrophysics - Instrumentation and Methods for Astrophysics, Instrumentation and Methods for Astrophysics (astro-ph.IM), Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

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Access URL: http://arxiv.org/abs/2501.05110

A modified cutting‐plane time integration scheme with adaptive substepping for elasto‐viscoplastic models: A modified cutting-plane time integration scheme with adaptive substepping for elasto-viscoplastic models

Authors: Jian Li Zhen‐Yu Yin Department of Civil and Environmental Engineering

Contributors: Jian Li Zhen‐Yu Yin Department of Civil and Environmental Engineering

Source: International Journal for Numerical Methods in Engineering. 121:3955-3978

Subject Terms: Finite element method, Finite element methods applied to problems in solid mechanics, Substepping, Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity), finite element method, Geomaterials, 0211 other engineering and technologies, 02 engineering and technology, Viscoplasticity, 01 natural sciences, geomaterials, Implicit algorithm, Numerical integration, numerical integration, implicit algorithm, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, viscoplasticity, 0101 mathematics, substepping

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Access URL: https://ui.adsabs.harvard.edu/abs/2020IJNME.121.3955L/abstract
https://research.polyu.edu.hk/en/publications/a-modified-cutting-plane-time-integration-scheme-with-adaptive-su
https://onlinelibrary.wiley.com/doi/full/10.1002/nme.6394

A numerical method for predicting crystal micro-structure

Authors: Noel F. Smyth Stuart J. Galloway

Source: Applied Mathematical Modelling. 21:569-578

Subject Terms: boundary integral method, Heat equation, Modelling and Simulation, Applied Mathematics, crystal growth, 0103 physical sciences, Free boundary problems for PDEs, two-phase Stefan problem, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 01 natural sciences, Statistical mechanics of crystals, Stefan problems, phase changes, etc

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Access URL: https://www.research.ed.ac.uk/portal/en/publications/a-numerical-method-for-predicting-crystal-microstructure(e133a4d3-6221-48f8-935f-5b7620218678).html
http://www.research.ed.ac.uk/portal/en/publications/a-numerical-method-for-predicting-crystal-microstructure(e133a4d3-6221-48f8-935f-5b7620218678).html
https://www.sciencedirect.com/science/article/abs/pii/S0307904X97000541
https://www.sciencedirect.com/science/article/pii/S0307904X97000541
https://www.research.ed.ac.uk/portal/en/publications/a-numerical-method-for-predicting-crystal-microstructure(e133a4d3-6221-48f8-935f-5b7620218678)/export.html

A time-relaxation reduced order model for the turbulent channel flow

Authors: Ping-Hsuan Tsai Paul Fischer Traian Iliescu

Source: Journal of Computational Physics. 521:113563

Subject Terms: time relaxation, turbulent channel flow, Fluid Dynamics (physics.flu-dyn), Numerical methods for low-rank matrix approximation, matrix compression, regularized model, FOS: Physical sciences, Physics - Fluid Dynamics, Numerical Analysis (math.NA), spatial filter, Turbulence, FOS: Mathematics, reduced order model, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, Finite element methods applied to problems in fluid mechanics

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Access URL: http://arxiv.org/abs/2312.13272

The use of a modified Petrov-Galerkin method for gas-sold reaction modelling: The use of a modified Petrov-Galerkin method for gas-solid reaction modelling

Authors: Liu, F. Mcelwain, D. L.S. Donskoi, E.

Source: IMA Journal of Applied Mathematics. 61:33-46

Subject Terms: numerical examples, gas-solid reactions, initial-value problems, balance equation, two-point boundary-value problem, piecewise linear test functions, 02 engineering and technology, 01 natural sciences, Stefan problems, phase changes, etc, Petrov-Galerkin method, reaction-diffusion equations, 2604 Applied Mathematics, Reaction-diffusion equations, predictor-corrector methods, finite element, transport equation, 0103 physical sciences, spline test functions, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0204 chemical engineering

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Access URL: https://zbmath.org/1229934
https://doi.org/10.1093/imamat/61.1.33
https://ui.adsabs.harvard.edu/abs/1998JApMa..61...33L/abstract
https://espace.library.uq.edu.au/view/UQ:2918e37
https://academic.oup.com/imamat/article-lookup/doi/10.1093/imamat/61.1.33

A finite element/volume method model of the depth‐averaged horizontally 2D shallow water equations: A finite element/volume method model of the depth-averaged horizontally 2D shallow water equations

Authors: Yoshioka, Hidekazu Unami, Koichi Fujihara, Masayuki et al.

Contributors: Yoshioka, Hidekazu Unami, Koichi Fujihara, Masayuki et al.

Source: International Journal for Numerical Methods in Fluids. 75:23-41

Subject Terms: Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Finite volume methods for initial value and initial-boundary value problems involving PDEs, fully explicit temporal integration, 0103 physical sciences, Finite volume methods applied to problems in fluid mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 2D SWEs, finite element/volume method, 01 natural sciences, 6. Clean water, Finite element methods applied to problems in fluid mechanics, approximate matrix inversion method

File Description: application/xml; application/pdf

Access URL: https://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/198579/1/fld.3882.pdf
http://onlinelibrary.wiley.com/doi/10.1002/fld.3882/full
http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/198579/1/fld.3882.pdf
http://ci.nii.ac.jp/naid/120005619773
https://repository.kulib.kyoto-u.ac.jp/dspace/handle/2433/198579
https://ui.adsabs.harvard.edu/abs/2014IJNMF..75...23Y/abstract
https://onlinelibrary.wiley.com/doi/10.1002/fld.3882/abstract