Suchergebnisse - domain decomposition for initial value and initial-boundary value problems involving pred*

Solving the coupled Gerdjikov–Ivanov equation via Riemann–Hilbert approach on the half line.

Autoren: Hu, Jiawei Dong, Huanhe Zhang, Ning

Quelle: Scientific Reports; 8/21/2025, Vol. 15 Issue 1, p1-30, 30p

Schlagwörter: RIEMANN-Hilbert problems, INITIAL value problems, PARTIAL differential equations, BOUNDARY value problems, SOLITONS, EIGENVALUES

On the parallel domain decomposition algorithms for time-dependent problems

Autoren: Lapin A. Pieskä J.

Quelle: SCOPUS19950802-2002-10-SID4243120276

Schlagwörter: continuous casting problem, numerical examples, finite-difference schemes, predictor-corrector schemes, Heat equation, Parallel numerical computation, algorithms, domain decomposition, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, nonlinear convection-diffusion problem, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, grid refinement, parallel computation

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1796007
https://openrepository.ru/article?id=135765
https://openrepository.ru/article?id=174763

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

Autoren: Plankovskyy, Sergiy Tsegelnyk, Yevgen Shyshko, Nataliia et al.

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

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

Subspace correction methods for nonsymmetric parabolic problems

Autoren: Xue-Cheng Tai Øystein Rognes

Quelle: Linear Algebra and its Applications. :205-234

Schlagwörter: Abstract parabolic equations, abstract evolution equation, Multigrid, algorithms, 01 natural sciences, Numerical solutions to equations with linear operators, Convection dominated, Discrete Mathematics and Combinatorics, Domain decomposition, 0101 mathematics, nonsymmetric parabolic problem, numerical experiments, Nonsymmetrical, Numerical Analysis, convergence, Algebra and Number Theory, subspace correction methods, Parallel numerical computation, Parallel, domain decomposition, Linear differential equations in abstract spaces, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, multigrid method, Geometry and Topology, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Parabolic

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1658474
https://doi.org/10.1016/s0024-3795(00)00255-x
https://www.sciencedirect.com/science/article/abs/pii/S002437950000255X
https://www.sciencedirect.com/science/article/pii/S002437950000255X

Chebyshev collocation method and multidomain decomposition for the incompressible Navier‐Stokes equations: Chebyshev collocation method and multidomain decomposition for the incompressible Navier-Stokes equations

Autoren: A. PINELLI VACCA, Andrea

Quelle: International Journal for Numerical Methods in Fluids. 18:781-799

Schlagwörter: INCOMPRESSIBLE NAVIER-STOKES, COLLOCATED CHEBYSHEV SCHEMES, DOMAIN DECOMPOSITION, Other numerical methods (fluid mechanics), Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Navier-Stokes equations for incompressible viscous fluids, 0103 physical sciences, second-order time-splitting scheme, single-block algorithm, pseudo-spectral method, 01 natural sciences, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/633534
https://doi.org/10.1002/fld.1650180806
http://hdl.handle.net/11588/701014
https://onlinelibrary.wiley.com/doi/abs/10.1002/fld.1650180806
http://onlinelibrary.wiley.com/doi/10.1002/fld.1650180806/abstract
https://ui.adsabs.harvard.edu/abs/1994IJNMF..18..781P/abstract
https://core.ac.uk/display/154855629
https://eprints.ucm.es/id/eprint/21892/
https://hdl.handle.net/11591/199143
https://doi.org/10.1002/fld.1650180806

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

Autoren: Seo, Jeong-Kweon

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

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

SIMULATION OF WAVES IN PORO-VISCOELASTIC ROCKS SATURATED BY IMMISCIBLE FLUIDS: NUMERICAL EVIDENCE OF A SECOND SLOW WAVE: Simulation of waves in poro-viscoelastic rocks saturated by immiscible fluids. Numerical evidence of a second slow wave

Autoren: Claudia L. Ravazzoli José M. Carcione Juan E. Santos et al.

Quelle: Journal of Computational Acoustics. 12:1-21

Schlagwörter: Finite element methods applied to problems in solid mechanics, Hydro- and aero-acoustics, wave propagation, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Poroviscoelasticity, 0103 physical sciences, finite elements, Linear waves in solid mechanics, multiphase fluids, Numerical methods for discrete and fast Fourier transforms, Finite element methods applied to problems in fluid mechanics, 0105 earth and related environmental sciences

Dateibeschreibung: application/xml

Zugangs-URL: http://www.lucabaradello.it/carcione/SRGCC04.pdf
https://www.worldscientific.com/doi/abs/10.1142/S0218396X04002195

Incompressible flows with combustion simulated by a preconditioning method using multigrid acceleration and MUSCL reconstruction

Autoren: C. Bruno V. Bellucci

Quelle: International Journal for Numerical Methods in Fluids. 36:619-637

Schlagwörter: cell-centred finite volume formulation, Reaction effects in flows, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Runge-Kutta time stepping scheme, 0103 physical sciences, Combustion, turbulent non-premixed flame, Finite volume methods applied to problems in fluid mechanics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1654696
https://doi.org/10.1002/fld.144
https://ui.adsabs.harvard.edu/abs/2001IJNMF..36..619B/abstract
https://www.onlinelibrary.wiley.com/doi/pdf/10.1002/fld.144

A Space-Time Multigrid Method for Parabolic Partial Differential Equations: A space-time multigrid method for parabolic partial differential equations

Autoren: HORTON, G. VANDEWALLE, S.

Quelle: SIAM Journal on Scientific Computing. 16:848-864

Schlagwörter: Mathematics, Applied, PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS, Numerical & Computational Mathematics, numerical results, 01 natural sciences, parallel, MULTIGRID, 0102 Applied Mathematics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, MASSIVELY PARALLEL COMPUTATION, 4901 Applied mathematics, semicoarsening, 0101 mathematics, SEMICOARSENING, multigrid, 0802 Computation Theory and Mathematics, Science & Technology, heat equation, 0103 Numerical and Computational Mathematics, parabolic equations, Parallel numerical computation, parabolic partial differential equations, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, massively parallel computation, Physical Sciences, 4903 Numerical and computational mathematics, PARALLEL, space-time multigrid method, Initial value problems for second-order parabolic equations, BOUNDARY-VALUE, boundary-value, Mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://lirias.kuleuven.be/bitstream/123456789/124295/1/SISC16%284%29HortonVdw.pdf

Multigrid Method for the Euler and Navier-Stokes Equations: Multigrid method for the Euler and Navier-Stokes equations

Autoren: Ayodeji Demuren S. O. Ibraheem

Quelle: AIAA Journal. 36:31-37

Schlagwörter: convergence acceleration techniques, 0203 mechanical engineering, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, three-dimensional computer code, 0103 physical sciences, full approximation storage-full multigrid algorithm, 02 engineering and technology, 0101 mathematics, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1164422
https://doi.org/10.2514/2.371
http://arc.aiaa.org/doi/pdf/10.2514/6.1996-299
https://arc.aiaa.org/doi/10.2514/2.371
http://ui.adsabs.harvard.edu/abs/1998AIAAJ..36...31D/abstract

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

Autoren: Gu, Linyan Qin, Shanlin Xu, Lei et al.

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

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

Multigrid acceleration of a block structured compressible flow solver

Autoren: Bernardus J. Geurts Johannes G.M. Kuerten

Quelle: Journal of Engineering Mathematics. 29:11-31

Schlagwörter: Other numerical methods (fluid mechanics), Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, METIS-140909, vertex-based spatial discretization, Shear flows and turbulence, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, explicit multistage Runge-Kutta time stepping, block loop, two-element airfoil

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/763502
https://doi.org/10.1007/bf00046380
https://research.tue.nl/en/publications/97a7b9e7-2c43-4828-9b37-332a5fee2d4b
https://doi.org/10.1007/BF00046380
https://research.utwente.nl/en/publications/5576ebc6-4cb5-410f-9b92-e6b7b2d6b23d
https://research.utwente.nl/en/publications/multigrid-acceleration-of-a-block-structured-compressible-flow-so
https://link.springer.com/article/10.1007/BF00046380
https://link.springer.com/content/pdf/10.1007/BF00046380.pdf
https://www.narcis.nl/publication/RecordID/oai%3Apure.tue.nl%3Apublications%2F97a7b9e7-2c43-4828-9b37-332a5fee2d4b
https://research.tue.nl/en/publications/multigrid-acceleration-of-a-block-structured-compressible-flow-so
http://ui.adsabs.harvard.edu/abs/1995JEnMa..29...11K/abstract

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

Autoren: Miao, Zhen Wang, Li Cheng, Gao-yuan et al.

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

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

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

Autoren: Edwards, Darren J.

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

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

A comparison of multilevel adaptive methods for hurricane track prediction

Autoren: Fulton, Scott R.

Schlagwörter: Berger-Oliger algorithm, Atmospheric waves, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, conservative second-order finite differences, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, full approximation scheme multigrid algorithm, Poisson problem, Meteorology and atmospheric physics, path of moving hurricane, conservation of vorticity, Finite difference methods applied to problems in fluid mechanics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1128756

Analysis of a domain-splitting method for nonstationary convection- diffusion problems

Autoren: Rannacher, M. Zhou, G.

Schlagwörter: Method of lines for initial value and initial-boundary value problems involving PDEs, dominant transport, method of lines, extrapolation, Parallel numerical computation, stability, convection- diffusion problems, blockwise implicit time stepping, overlapping domain decomposition, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, parallel algorithm, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Initial value problems for second-order parabolic equations, domain-splitting method, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, streamline diffusion finite element method

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/839259

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

Autoren: Feng, Lei Wang, Jun

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

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

Multigrid methods for finite element simulation of immiscible flow in porous media

Autoren: Silva, Arlenes S. Coutinho, Alvaro L. G. A. Parsons, Ian D.

Schlagwörter: gravity effects, Flows in porous media, filtration, seepage, multigrid methods, block-iterative predictor-multicorrector algorithm, sharp saturation fronts, Galerkin finite element method, discontinuity-capturing operator, pressure gradients, adaptive-implicit methods, immiscible two-phase flow, porous media, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, post-processing approach, SUPG finite element formulation, Finite element methods applied to problems in fluid mechanics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1605075

A numerical scheme to couple subdomains with different time-steps for predominantly linear transient analysis

Autoren: Combescure, Alain Gravouil, Anthony Colin, Anne-Marie

Weitere Verfasser: Combescure, Alain Gravouil, Anthony Colin, Anne-Marie

Quelle: Computer Methods in Applied Mechanics and Engineering. 191:1129-1157

Schlagwörter: Finite difference methods applied to problems in solid mechanics, Finite element methods applied to problems in solid mechanics, 13. Climate action, 4. Education, interface boundary constraints, explicit/implicit time-integration algorithms, 15. Life on land, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, FETI domain decomposition methods, stability analysis, Newmark scheme

Dateibeschreibung: application/xml

Zugangs-URL: https://ui.adsabs.harvard.edu/abs/2002CMAME.191.1129C/abstract
https://www.sciencedirect.com/science/article/pii/S0045782501001906
https://hal.archives-ouvertes.fr/hal-00454895
http://www.sciencedirect.com/science/article/pii/S0045782501001906
https://hal.science/hal-00454895v1

An efficient parallel algorithm with application to computational fluid dynamics: An efficient parallel algorithm with application to computational fluid dynamics.

Autoren: Jianping Zhu D. H. Huddleston Wilson Rivera

Quelle: Computers & Mathematics with Applications. 45:165-188

Schlagwörter: Parallel algorithms, numerical boundary conditions, Gas dynamics (general theory), Parallel numerical computation, computational fluid dynamics, stability, convection-diffusion equations, Euler equations, Partial differential equations, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, Computational Mathematics, Computational Theory and Mathematics, Time lagging, Modelling and Simulation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Domain decomposition, Initial value problems for second-order parabolic equations, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, parallel computation, Explicit predictor, finite difference method

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2017183
https://doi.org/10.1016/s0898-1221(03)80013-5
https://engagedscholarship.csuohio.edu/scimath_facpub/59/
https://www.sciencedirect.com/science/article/pii/S0898122103800135
https://works.bepress.com/jianping_zhu/9/