Suchergebnisse - numerical methods for inverse problems for boundary value problems involving pres

Adaptive Operator Learning for Infinite-Dimensional Bayesian Inverse Problems: Adaptive operator learning for infinite-dimensional Bayesian inverse problems

Autoren: Zhiwei Gao Liang Yan Tao Zhou

Quelle: SIAM/ASA Journal on Uncertainty Quantification. 12:1389-1423

Schlagwörter: unscented Kalman inversion, FOS: Computer and information sciences, Inverse problems for PDEs, Bayesian inference, Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs, Bayesian inverse problems, Machine Learning (stat.ML), Numerical Analysis (math.NA), Statistics - Computation, 01 natural sciences, operator learning, Statistics - Machine Learning, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.), Computation (stat.CO)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2310.17844
https://zbmath.org/7973170
https://doi.org/10.1137/24m1643815

Computational Inverse Problems for Partial Differential Equations (hybrid meeting).

Quelle: Oberwolfach Reports; 2021, p1903-1954, 52p

Schlagwörter: PARTIAL differential equations, BOUNDARY value problems, NONDESTRUCTIVE testing, MACHINE learning, DIAGNOSTIC imaging

An introduction to modelling through a microbial interaction application.

Autoren: Zama, Fabiana

Quelle: International Journal of Mathematical Education in Science & Technology; Feb2024, Vol. 55 Issue 2, p340-351, 12p

Schlagwörter: MICROORGANISMS, SCIENCE students, MATHEMATICAL models, PARAMETER estimation, BOUNDARY value problems

FREDHOLM NEURAL NETWORKS.

Autoren: GEORGIOU, KYRIAKOS SIETTOS, CONSTANTINOS YANNACOPOULOS, ATHANASIOS N.

Quelle: SIAM Journal on Scientific Computing; 2025, Vol. 47 Issue 4, pC1006-C1031, 76p

Schlagwörter: FREDHOLM equations, ARTIFICIAL neural networks, MATHEMATICAL optimization, NUMERICAL analysis, ARTIFICIAL intelligence, DEEP learning, DIFFERENTIAL equations, INVERSE problems

Modelling of single shot induction heating by inverse finite element method

Autoren: MAIZZA, Giovanni M. CALI

Quelle: International Journal for Numerical Methods in Fluids. 20:541-557

Schlagwörter: inverse finite element method, Heat equation, 4. Education, 02 engineering and technology, 01 natural sciences, 0203 mechanical engineering, Applications to the sciences, Electromagnetic theory (general), 0103 physical sciences, Heat and mass transfer, heat flow, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, electromagnetic induction heating, experiment simulation, PDEs in connection with optics and electromagnetic theory, coupled fields

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/831723
https://doi.org/10.1002/fld.1650200609
https://www.onlinelibrary.wiley.com/doi/10.1002/fld.1650200609
https://iris.polito.it/handle/11583/1398215
https://core.ac.uk/display/11369662
http://porto.polito.it/1654414/
https://hdl.handle.net/11583/1398215
https://hdl.handle.net/11583/1654414

Boundary Value Problems, Weyl Functions, and Differential Operators

Autoren: Jussi Behrndt Seppo Hassi Henk de Snoo

Resource Type: eBook.

Schlagworte: Differential operators, Spectral theory (Mathematics), Boundary value problems, Boundary value problems--Weyl theory

Categories: MATHEMATICS / Functional Analysis, MATHEMATICS / Differential Equations / General, SCIENCE / System Theory

A note on defect correction processes with an approximate inverse of deficient rank

Autoren: Piet Hemker

Quelle: Journal of Computational and Applied Mathematics. 8:137-139

Schlagwörter: post-relaxation, Iterative numerical methods for linear systems, convergence, Applied Mathematics, pre-relaxation, Numerical solution of discretized equations for boundary value problems involving PDEs, multiple grid methods, defect correction processes of deficient rank, Banach spaces, Computational Mathematics, Boundary value problems for second-order elliptic equations, approximate inverse, Numerical solutions to equations with linear operators, Equations and inequalities involving linear operators, with vector unknowns

Dateibeschreibung: application/xml

Zugangs-URL: https://www.narcis.nl/publication/RecordID/oai%3Acwi.nl%3A10163
https://ir.cwi.nl/pub/9109
https://ir.cwi.nl/pub/9109/9109D.pdf
https://www.sciencedirect.com/science/article/pii/0771050X82900705

Modified method of characteristics for solving population balance equations

Autoren: Laurent Pilon Raymond Viskanta

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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

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

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

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

Extended Method of Characteristics for Inverse Hydraulic Transient Modeling Using Sensor Data.

Autoren: Ye, Jiawei Lambert, Martin Zeng, Wei et al.

Quelle: Journal of Hydraulic Engineering; Jul2025, Vol. 151 Issue 4, p1-13, 13p

Schlagwörter: TRANSIENT analysis, INVERSE problems, FLOW simulations, PIPELINE transportation, BOUNDARY value problems, ACQUISITION of data, COMPUTER simulation

Enhancing convergence speed with feature enforcing physics-informed neural networks using boundary conditions as prior knowledge.

Autoren: Jahani-nasab, Mahyar Bijarchi, Mohamad Ali

Quelle: Scientific Reports; 10/11/2024, Vol. 14 Issue 1, p1-18, 18p

Schlagwörter: BOUNDARY value problems, SCIENCE education, BURGERS' equation, INVERSE problems, MACHINE learning

Surrogate modeling of multi-dimensional premixed and non-premixed combustion using pseudo-time stepping physics-informed neural networks.

Autoren: Cao, Zhen Liu, Kai Luo, Kun et al.

Quelle: Physics of Fluids; Nov2024, Vol. 36 Issue 11, p1-19, 19p

Schlagwörter: BOUNDARY value problems, COMPUTATIONAL fluid dynamics, PARTIAL differential equations, COMBUSTION, TRAINING needs

Transfer learning‐based physics‐informed neural networks for magnetostatic field simulation with domain variations.

Autoren: Lippert, Jonathan Rainer von Tresckow, Moritz De Gersem, Herbert et al.

Quelle: International Journal of Numerical Modelling; Jul2024, Vol. 37 Issue 4, p1-13, 13p

Schlagwörter: MAGNETIC fields, ARTIFICIAL neural networks, BOUNDARY value problems, POISSON'S equation, SUPERVISED learning

ANN-based deep collocation method for natural convection in porous media.

Autoren: Kumar, Sumant Kumar, B. V. Rathish Murthy, S. V. S. S. N. V. G. Krishna

Quelle: Neural Computing & Applications; Apr2024, Vol. 36 Issue 11, p6067-6083, 17p

Schlagwörter: COLLOCATION methods, POROUS materials, BOUNDARY value problems, NATURAL heat convection, FEEDFORWARD neural networks, FINITE volume method, NEUMANN boundary conditions

Fully numerical Laplace transform methods.

Autoren: Weideman, J. A. C. Fornberg, Bengt

Quelle: Numerical Algorithms; Jan2023, Vol. 92 Issue 1, p985-1006, 22p

Schlagwörter: BOUNDARY value problems, EXPONENTIAL sums, ORDINARY differential equations, NONLINEAR integral equations, PARTIAL differential equations, LAPLACE transformation

Mathematical Modeling on a Physics-Informed Radial Basis Function Network.

Autoren: Stenkin, Dmitry Gorbachenko, Vladimir

Quelle: Mathematics (2227-7390); Jan2024, Vol. 12 Issue 2, p241, 11p

Schlagwörter: RADIAL basis functions, MATHEMATICAL models, BOUNDARY value problems, DIFFERENTIAL equations, PARTIAL differential equations, INVERSE problems

The method of fundamental solutions for inverse 2D Stokes problems.

Autoren: Chen, C. W. Young, D. L. Tsai, C. C. et al.

Quelle: Computational Mechanics; Jan2006, Vol. 37 Issue 1, p2-14, 13p, 7 Diagrams, 4 Charts, 9 Graphs

Schlagwörter: STOKES equations, NUMERICAL analysis, BOUNDARY value problems, DIFFERENTIAL equations, MECHANICS (Physics)

Semilinear multi-term fractional in time diffusion with memory.

Autoren: Vasylyeva, Nataliya Kochubei, Anatoly Shepelsky, Dmitry et al.

Quelle: Frontiers in Applied Mathematics & Statistics; 2024, p01-12, 12p

Schlagwörter: FRACTIONAL calculus, FRACTIONAL differential equations, SEMILINEAR elliptic equations, BOUNDARY value problems, MEMORY, CAPUTO fractional derivatives, ELLIPTIC operators

An Extended Separation-of-Variable Method for Free Vibration of Rectangular Mindlin Plates.

Autoren: Li, Gen Xing, Yufeng Wang, Zekun

Quelle: International Journal of Structural Stability & Dynamics; Oct2021, Vol. 21 Issue 11, p1-32, 32p

Schlagwörter: RECTANGLES, FREE vibration, EIGENVALUE equations, BOUNDARY value problems, MODE shapes, PLATING baths

From discrete to continuum modelling of boundary value problems in geomechanics: An integrated FEM‐DEM approach.

Autoren: Desrues, Jacques Argilaga, Albert Caillerie, Denis et al.

Quelle: International Journal for Numerical & Analytical Methods in Geomechanics; 4/10/2019, Vol. 43 Issue 5, p919-955, 37p

Schlagwörter: BOUNDARY value problems, MATHEMATICAL continuum, DISCRETE element method