Numerical approximations for a hyperbolic integrodifferential equation with a non-positive variable-sign kernel and nonlinear-nonlocal damping

Συγγραφείς: Qiu, Wenlin, Zheng, Xiangcheng, Mustapha, Kassem

Πηγή: Applied Numerical Mathematics. 213:61-76

Θεματικοί όροι: Integro-partial differential equations, FOS: Mathematics, 35L70, 65M15, 65M22, 45K05, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Numerical methods for integral equations, integral transforms

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2412.07394
https://zbmath.org/8034917
https://doi.org/10.1016/j.apnum.2025.02.018

Explicit and approximate solutions for the fragmentation equation in the presence of source and efflux terms: A coupled meshfree approach and its convergence analysis: Explicit and approximate solutions for the fragmentation equation in the presence of source and efflux terms: a coupled meshfree approach and its convergence analysis

Συγγραφείς: Keshav, Somveer, Singh, Sukhjit, Huang, Yanghong, Kumar, Jitendra, Singh, Mehakpreet

Πηγή: Keshav, S, Singh, S, Huang, Y, Kumar, J & Singh, M 2025, 'Explicit and approximate solutions for the fragmentation equation in the presence of source and efflux terms: a coupled meshfree approach and its convergence analysis', Kinetic and Related Models, vol. 18, no. 4, pp. 520-540. https://doi.org/10.3934/krm.2024025

Θεματικοί όροι: Integro-partial differential equations, Fragmentation equation, Pade approximation, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Numerical methods for integral equations, integral transforms, fragmentation equation, Padé approximation, Laplace Adomian decomposition

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://zbmath.org/8017661
https://doi.org/10.3934/krm.2024025
https://research.manchester.ac.uk/en/publications/4d69e15f-4b5d-4282-814b-e827709ff280
https://doi.org/10.3934/krm.2024025
https://research.manchester.ac.uk/en/publications/4d69e15f-4b5d-4282-814b-e827709ff280
https://pure.manchester.ac.uk/ws/files/348650660/RevisedLib.pdf
https://doi.org/10.3934/krm.2024025

An efficient variable step numerical method for the three-dimensional nonlinear evolution equation

Συγγραφείς: Wang, Ruru, Chen, Yanping, Qiao, Leijie

Πηγή: Journal of Applied Mathematics and Computing. 70:6131-6163

Θεματικοί όροι: orthogonal spline collocation method, alternating direction implicit method, Numerical methods for partial differential equations, boundary value problems, variable step BDF2 method, stability and convergence, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Numerical methods for integral equations, integral transforms, nonlinear fractional evolution equation

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8036697
https://doi.org/10.1007/s12190-024-02206-0

Numerical approaches for non-local transport-dominated PDE models with applications to biology

Συγγραφείς: Johan Marguet, Raluca Eftimie, Alexei Lozinski

Πηγή: Computational and Applied Mathematics. 44

Θεματικοί όροι: Complexity and performance of numerical algorithms, non-local models, Research exposition (monographs, survey articles) pertaining to numerical analysis, FOS: Mathematics, finite elements, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Computational methods for problems pertaining to biology, Numerical methods for integral equations, integral transforms, biology and ecology, numerical approaches

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2505.00708

A nonlocal convection–diffusion model with Gaussian‐type kernels and meshfree discretization: A nonlocal convection-diffusion model with Gaussian-type kernels and meshfree discretization

Συγγραφείς: Hao Tian, Xiaojuan Liu, Chenguang Liu, Lili Ju

Πηγή: Numerical Methods for Partial Differential Equations. 40

Θεματικοί όροι: Numerical methods for partial differential equations, boundary value problems, nonlocal convection-diffusion, asymptotic compatibility, 0101 mathematics, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Numerical methods for integral equations, integral transforms, 01 natural sciences, meshfree discretization

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8011451
https://doi.org/10.1002/num.23141

Reproducing kernel Hilbert space method for high-order linear Fredholm integro-differential equations with variable coefficients

Συγγραφείς: Renjun Qiu, Ming Xu, Pengfei Zhu

Πηγή: Applied Mathematics and Computation. 489:129161

Θεματικοί όροι: Integro-ordinary differential equations, Fredholm integro-differential equations, Fredholm integral equations of the first kind, ordinary differential equations, Numerical methods for ordinary differential equations, Numerical methods for integral equations, integral transforms, \(H\)-\(H_K\) formulation, reproducing kernel Hilbert space

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8030256
https://doi.org/10.1016/j.amc.2024.129161

A Gegenbauer polynomial-based numerical technique for a singular integral equation of order four and its application to a crack problem

Συγγραφείς: Abhishek Yadav, Amit Setia, Concetta Laurita

Συνεισφορές: Yadav, Abhishek, Setia, Amit, Laurita, Concetta

Πηγή: Applied Mathematics and Computation. 479:128878

Θεματικοί όροι: Crack problem, Error estimate, crack problem, Singular integral equation, Fracture and damage, strong singular integral equation, Gegenbauer polynomial, error estimate, Strong singular integral equation, Singular integral equations, Numerical methods for integral equations, integral transforms, singular integral equation

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8030488
https://doi.org/10.1016/j.amc.2024.128878

Uniform convergence analysis of the BDF2 scheme on Bakhvalov-type meshes for a singularly perturbed Volterra integro-differential equation

Συγγραφείς: Liao, Yige, Liu, Li-Bin, Ye, Limin, Liu, Tangwei

Πηγή: Applied Mathematics Letters. 145:108755

Θεματικοί όροι: two-step backward differentiation formula, Bakhvalov-type mesh, Numerical methods for ordinary differential equations, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Numerical methods for integral equations, integral transforms, Volterra integro-differential equation, singularly perturbed

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7727123
https://doi.org/10.1016/j.aml.2023.108755

A mathematical erythrocyte model based on weak solutions of integral equations

Συγγραφείς: V. I. Ivakhnenko, Yu. A. Eremin

Πηγή: Differential Equations. 40:1233-1243

Θεματικοί όροι: Integro-partial differential equations, Maxwell equations, Medical applications (general), Physiology (general), Biological applications of optics and electromagnetic theory, 0103 physical sciences, Numerical methods for integral equations, integral transforms, 01 natural sciences, 0104 chemical sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007/s10625-005-0002-z

A note on traveling fronts and pulses in a firing rate model of a neuronal network

Συγγραφείς: M. Enculescu

Πηγή: Physica D: Nonlinear Phenomena. 196:362-386

Θεματικοί όροι: Integro-partial differential equations, 03 medical and health sciences, Traveling waves, 0302 clinical medicine, Neural biology, Convolution equations, Neuronal networks, 0103 physical sciences, Neural networks for/in biological studies, artificial life and related topics, Numerical methods for integral equations, integral transforms, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2107920
https://doi.org/10.1016/j.physd.2004.06.005
https://www.sciencedirect.com/science/article/pii/S0167278904002441
https://www.infona.pl/resource/bwmeta1.element.elsevier-774a99b9-615d-332b-8d7c-8767f8a7aa1c

On a Stroboscopic Approach to Quantum Tomography of Qudits Governed by Gaussian Semigroups: On a stroboscopic approach to quantum tomography of qudits governed by Gaussian semigroups

Συγγραφείς: Andrzej Jamiołkowski

Πηγή: Open Systems & Information Dynamics. 11:63-70

Θεματικοί όροι: Groups and semigroups of linear operators, Quantum Physics, Quantum computation, 0103 physical sciences, FOS: Physical sciences, Numerical methods for integral equations, integral transforms, Quantum Physics (quant-ph), 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/quant-ph/0408171v1.pdf
http://arxiv.org/abs/quant-ph/0408171

Non-Reflecting Boundary Conditions for Maxwell?s Equations: Non-reflecting boundary conditions for Maxwell's equations

Συγγραφείς: Hiptmair, R., Schädle, A.

Πηγή: Computing, 71 (3)

Θεματικοί όροι: Finite difference methods for boundary value problems involving PDEs, finite difference time domain methods, Absorbing boundary conditions, Fast convolution - waveguide, Laplace transform, Transparent boundary conditions, waveguide, Antennas, waveguides in optics and electromagnetic theory, Numerical methods for integral equations, integral transforms, absorbing boundary conditions, 01 natural sciences, Convolution as an integral transform, Finite difference time domain methods, fast convolution, 0101 mathematics, transparent boundary conditions

Περιγραφή αρχείου: application/xml; application/application/pdf

Σύνδεσμος πρόσβασης: https://www.research-collection.ethz.ch/bitstream/20.500.11850/412585/2/607_2003_Article_26.pdf
http://core.ac.uk/display/24525476
https://link.springer.com/content/pdf/10.1007%2Fs00607-003-0026-2.pdf
https://link.springer.com/article/10.1007%2Fs00607-003-0026-2
https://dblp.uni-trier.de/db/journals/computing/computing71.html#HiptmairS03
http://hdl.handle.net/20.500.11850/412585
http://doc.rero.ch/record/320308/files/607_2003_Article_26.pdf

Study and modelling of a density dependent population using faltung (closed cycle type) equations: Study and modelling of a density-dependent population using faltung (closed cycle type) equations.

Συγγραφείς: Cesar Bordehore, Angela Pascual, Julio Escolano, Inmaculada Manchón, Pedro Grimalt, M. Pujol

Πηγή: International Journal of Numerical Methods for Heat & Fluid Flow. 13:486-499

Θεματικοί όροι: 0301 basic medicine, 03 medical and health sciences, Population dynamics (general), approximations, partial differential equations, decomposition method, Numerical methods for ordinary differential equations, 0101 mathematics, Numerical methods for integral equations, integral transforms, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.emerald.com/insight/content/doi/10.1108/09615530310475920/full/html

Testing the validity of the effective rate constant approximation for surface reaction with transport

Συγγραφείς: David A. Edwards, Seth A. Jackson

Πηγή: Applied Mathematics Letters. 15:547-552

Θεματικοί όροι: 0301 basic medicine, Integrodifferential equations, 0303 health sciences, Applied Mathematics, Numerical simulation, Numerical methods for integral equations, integral transforms, Probabilistic models, generic numerical methods in probability and statistics, Integro-partial differential equations, 03 medical and health sciences, Surface-volume reactions, BIAcore™, Surface plasmon resonance, surface-volume reaction, Classical flows, reactions, etc. in chemistry, Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.), surface plasmon resonance

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1781917
https://doi.org/10.1016/s0893-9659(02)80005-2

A limiting absorption principle for scattering problems with unbounded obstacles

Συγγραφείς: Bonnet-Ben Dhia, Anne-Sophie, Tillequin, Axel

Συνεισφορές: Arnoux, Aurélien

Πηγή: Mathematical Methods in the Applied Sciences. 24:1089-1111

Θεματικοί όροι: Variational methods applied to problems in optics and electromagnetic theory, limiting absorption principle, scattering by unbounded obstacles, 0101 mathematics, Antennas, waveguides in optics and electromagnetic theory, Numerical methods for integral equations, integral transforms, 01 natural sciences, Diffraction, scattering

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1702172
https://doi.org/10.1002/mma.259
https://ensta.hal.science/hal-01008796v1
https://doi.org/10.1002/mma.259
https://ui.adsabs.harvard.edu/abs/2001MMAS...24.1089B/abstract
https://hal-ensta.archives-ouvertes.fr/hal-01008796
https://hal-ensta-paris.archives-ouvertes.fr/hal-01008796
https://hal.archives-ouvertes.fr/hal-01008796

Wavelets for electronic structure calculations

Συγγραφείς: M.E. Brewster, Zhiyun Yang, George I. Fann

Πηγή: Journal of Mathematical Chemistry. 22:117-142

Θεματικοί όροι: molecular electronic structure calculations, wavelet transform techniques, 0103 physical sciences, Nontrigonometric harmonic analysis involving wavelets and other special systems, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), Numerical methods for integral equations, integral transforms, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/content/pdf/10.1023/A:1019171830287.pdf
https://link.springer.com/article/10.1023/A:1019171830287

Equidistribution on the Sphere: Equidistribution on the sphere

Συγγραφείς: Freeden, Willi, Cui, J.

Πηγή: SIAM Journal on Scientific Computing. 18:595-609

Θεματικοί όροι: Irregularities of distribution, discrepancy, Probabilistic methods, stochastic differential equations, ddc:510, Pseudodifferential operators, 0101 mathematics, Spherical harmonics, Numerical methods for integral equations, integral transforms, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1009485
https://doi.org/10.1137/s1064827595281344
https://kluedo.ub.rptu.de/frontdoor/index/index/docId/574
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/574

A mathematical model of a biosensor

Συγγραφείς: Jennifer A. Scott, S. Jones, B. Jumarhon, Sean McKee

Πηγή: Journal of Engineering Mathematics. 30:321-337

Θεματικοί όροι: Integro-ordinary differential equations, Biochemistry, molecular biology, heat equation, Heat equation, nonlinear boundary conditions, Biophysics, perturbation solution, 0101 mathematics, Numerical methods for integral equations, integral transforms, 01 natural sciences, Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.), product integration method

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007%2FBF00042754
https://www.numerical.rl.ac.uk/people/jscott/publications/1996/JoneJumaMcKeeScot1996_JEM.pdf
http://ui.adsabs.harvard.edu/abs/1996JEnMa..30..321J/abstract
https://link.springer.com/content/pdf/10.1007/BF00042754.pdf

Hypersingular integral operators in diffraction problems of electromagnetic waves on open surfaces

Συγγραφείς: I. V. Khaleeva, E. V. Zakharov

Πηγή: Computational Mathematics and Modeling. 5:208-213

Θεματικοί όροι: Electromagnetic theory (general), 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, Numerical methods for integral equations, integral transforms, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/768365
https://doi.org/10.1007/bf01128572
https://link.springer.com/article/10.1007%2FBF01130295

Numerical analysis of a uniform flow of a rarefied gas past a sphere on the basis of the Boltzmann equation for hard-sphere molecules

Συγγραφείς: Yoshio Sone, Kazuo Aoki, Shigeru Takata

Πηγή: Physics of Fluids A: Fluid Dynamics. 5:716-737

Θεματικοί όροι: similarity solution, \(S\) layer, 02 engineering and technology, Numerical methods for integral equations, integral transforms, velocity distribution function, 01 natural sciences, Rarefied gas flows, Boltzmann equation in fluid mechanics, Integro-partial differential equations, diffuse reflection, linearized Boltzmann equation, 0103 physical sciences, collision integral, Knudsen layer, 0204 chemical engineering, numerical kernel method

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/408613
https://doi.org/10.1063/1.858655
http://scitation.aip.org/content/aip/journal/pofa/5/3/10.1063/1.858655
http://ui.adsabs.harvard.edu/abs/1993PhFlA...5..716T/abstract
https://aip.scitation.org/doi/10.1063/1.858655