On the unconditional long-time L2-stability of the BDF2 time stepping scheme for the two-dimensional Navier-Stokes equations: On the unconditional long-time \(L^2\)-stability of the BDF2 time stepping scheme for the two-dimensional Navier-Stokes equations

Συγγραφείς: Ming-Cheng Shiue

Πηγή: Applied Numerical Mathematics. 214:104-109

Θεματικοί όροι: Incompressible viscous fluids, Basic methods in fluid mechanics, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8034926
https://doi.org/10.1016/j.apnum.2025.03.008

Hamiltonian boundary value methods applied to KdV-KdV systems

Συγγραφείς: Luo, Qian, Xiao, Aiguo, Luo, Xuqiong, Yan, Xiaoqiang

Πηγή: Applied Numerical Mathematics. 214:1-27

Θεματικοί όροι: energy preservation, Fourier-Galerkin methods, KdV-KdV systems, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Hamiltonian boundary value methods, blended iteration

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Drug release from polymeric platforms for non smooth solutions

Συγγραφείς: J.S. Borges, G.C.M. Campos, J.A. Ferreira, G. Romanazzi

Πηγή: Applied Numerical Mathematics. 213:12-37

Θεματικοί όροι: Parabolic equations and parabolic systems, Numerical methods for partial differential equations, boundary value problems, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8034915
https://doi.org/10.1016/j.apnum.2025.02.016

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

Two fourth-order conservative compact difference schemes for the generalized Korteweg–de Vries–Benjamin Bona Mahony equation: Two fourth-order conservative compact difference schemes for the generalized Korteweg-de Vries-Benjamin Bona Mahony equation

Συγγραφείς: Zhang, Xin, Jin, Yuanfeng

Πηγή: Applied Numerical Mathematics. 212:223-241

Θεματικοί όροι: convergence, Partial differential equations of mathematical physics and other areas of application, generalized KdV-BBM equation, conservation, compact difference schemes, Incompressible inviscid fluids, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems

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Σύνδεσμος πρόσβασης: https://zbmath.org/8018687
https://doi.org/10.1016/j.apnum.2025.02.005

Spectral element method for the solution of viscoelastic seismic wave propagation

Συγγραφείς: Barzegar, Feze, Rashidinia, Jalil

Πηγή: Applied Numerical Mathematics. 212:92-109

Θεματικοί όροι: Gauss-Legendre-Lobatto points, Numerical methods for partial differential equations, boundary value problems, Basic methods in fluid mechanics, spectral element method, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, viscoelastic wave equations, error analysis

Περιγραφή αρχείου: application/xml

Parametric finite element method for a nonlocal curvature flow

Συγγραφείς: Jie Li, Lifang Pei

Πηγή: Applied Numerical Mathematics. 212:197-214

Θεματικοί όροι: Parabolic equations and parabolic systems, Classical differential geometry, parametric finite element method, area increase, nonlocal curvature flow, perimeter conservation, asymptotic equal mesh distribution, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems

Περιγραφή αρχείου: application/xml

Third-Order Sectorially A-Stable Alternating Implicit Runge–Kutta Schemes: Third-order sectorially a-stable alternating implicit Runge-Kutta schemes

Συγγραφείς: Alexandre Ern, Jean-Luc Guermond

Πηγή: SIAM Journal on Scientific Computing. 47:A1579-A1603

Θεματικοί όροι: order barrier, high-order time integration, implicit-explicit time integration, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, operator splitting

Περιγραφή αρχείου: application/xml

FastVPINNs: Tensor-Driven Acceleration of VPINNs for Complex Geometries: FastVPINNs: tensor-driven acceleration of VPINNs for complex geometries

Συγγραφείς: Thivin Anandh, Divij Ghose, Himanshu Jain, Sashikumaar Ganesan

Πηγή: SIAM Journal on Scientific Computing. 47:C578-C600

Θεματικοί όροι: FOS: Computer and information sciences, Computer Science - Machine Learning, Computer Science - Neural and Evolutionary Computing, Numerical Analysis (math.NA), Computer aspects of numerical algorithms, General topics in artificial intelligence, Machine Learning (cs.LG), physics-informed neural networks, Computational Engineering, Finance, and Science (cs.CE), domain decomposition, FOS: Mathematics, Mathematics - Numerical Analysis, Neural and Evolutionary Computing (cs.NE), Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Computer Science - Computational Engineering, Finance, and Science, Algorithms in computer science, hp-variational physics-informed neural networks, variational physics-informed neural networks

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2404.12063

Convexification for the 3D Problem of Travel Time Tomography: Convexification for the 3D problem of travel time tomography

Συγγραφείς: Michael V. Klibanov, Jingzhi Li, Vladimir G. Romanov, Zhipeng Yang

Πηγή: SIAM Journal on Scientific Computing. 47:A1436-A1457

Θεματικοί όροι: numerical solution, eikonal equation, geodesic lines, globally convergent numerical method, FOS: Mathematics, travel time tomography in 3d, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), coefficient inverse problem, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2409.14025
https://zbmath.org/8037163
https://doi.org/10.1137/24m1695336

Analysis of average bound preserving time-implicit discretizations for convection-diffusion-reaction equation

Συγγραφείς: Fengna Yan, Yinhua Xia

Πηγή: Applied Numerical Mathematics. 211:103-122

Θεματικοί όροι: Parabolic equations and parabolic systems, Numerical methods for partial differential equations, boundary value problems, average bound-preserving, KKT limiter, LDG methods, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, convection-diffusion-reaction equation, implicit time discretization

Περιγραφή αρχείου: application/xml

Time Multiscale Modeling of Sorption Kinetics I: Uniformly Accurate Schemes for Highly Oscillatory Advection-Diffusion Equation: Time multiscale modeling of sorption kinetics. I: Uniformly accurate schemes for highly oscillatory advection-diffusion equation

Συγγραφείς: Clarissa Astuto, Mohammed Lemou, Giovanni Russo

Πηγή: Multiscale Modeling & Simulation. 23:753-776

Θεματικοί όροι: sorption kinetics, Mathematics - Analysis of PDEs, advection-diffusion equation, highly oscillatory solutions, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, time multiscale, space multiscale, Analysis of PDEs (math.AP)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2307.14001
https://zbmath.org/8031334
https://doi.org/10.1137/23m158797x

A new scale-invariant hybrid WENO scheme for steady Euler and Navier-Stokes equations

Συγγραφείς: Yifei Wan

Πηγή: Applied Numerical Mathematics. 210:177-198

Θεματικοί όροι: steady-state convergence, scale-invariant, hybrid WENO scheme, Hyperbolic equations and hyperbolic systems, Basic methods in fluid mechanics, sensitivity parameter, Navier-Stokes equations, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Euler equations

Περιγραφή αρχείου: application/xml

Strongly consistent low-dissipation WENO schemes for finite elements

Συγγραφείς: Joshua Vedral, Andreas Rupp, Dmitri Kuzmin

Πηγή: Applied Numerical Mathematics. 210:64-81

Θεματικοί όροι: consistency, a priori estimates, Numerical methods for partial differential equations, boundary value problems, residual-based nonlinear weights, Basic methods in fluid mechanics, hyperbolic conservation laws, Numerical Analysis (math.NA), continuous and discontinuous Galerkin methods, Mathematics - Analysis of PDEs, WENO scheme, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Analysis of PDEs (math.AP)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2407.04646
https://zbmath.org/7984900
https://doi.org/10.1016/j.apnum.2024.12.008

The two-grid hybrid high-order method for the nonlinear strongly damped wave equation on polygonal mesh and its reduced-order model

Συγγραφείς: Lu Wang, Youjun Tan, Minfu Feng

Πηγή: Applied Numerical Mathematics. 210:1-24

Θεματικοί όροι: hybrid high-order method, proper orthogonal decomposition, semi-discrete scheme, nonlinear wave equation, Numerical methods for partial differential equations, boundary value problems, fully-discrete scheme, Hyperbolic equations and hyperbolic systems, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, two-grid algorithm, polygonal mesh

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The linear, decoupled and fully discrete finite element methods for simplified two-phase ferrohydrodynamics model

Συγγραφείς: Chen, Xiaoyong, Li, Rui, Li, Jian

Πηγή: Applied Numerical Mathematics. 210:123-146

Θεματικοί όροι: Incompressible viscous fluids, the convex splitting method, two-phase ferrohydrodynamics, phase field, Partial differential equations of mathematical physics and other areas of application, the stabilize explicit method, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, the artificial compressibility method

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7984905
https://doi.org/10.1016/j.apnum.2024.12.004

A novel efficient generalized energy-optimized exponential SAV scheme with variable-step BDFk method for gradient flows: A novel efficient generalized energy-optimized exponential SAV scheme with variable-step BDF\(k\) method for gradient flows

Συγγραφείς: Bingyin Zhang, Chengxi Zhou, Hongfei Fu

Πηγή: Applied Numerical Mathematics. 210:39-63

Θεματικοί όροι: Parabolic equations and parabolic systems, variable-step BDF\(k\) method, Partial differential equations of mathematical physics and other areas of application, gradient flows, generalized EOP, adaptive time-stepping, energy dissipation law, ESAV method, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems

Περιγραφή αρχείου: application/xml

Numerical Solution of Extended Korteweg-de Vries Equation with Cubic Nonlinear Term and Fifth-Order Dispersion Term: Numerical solution of extended Korteweg-de Vries equation with cubic nonlinear term and fifth-order dispersion term

Συγγραφείς: Shamshu, N. M. L. K., Alias, A., Loy, K. C.

Πηγή: Malaysian Journal of Mathematical Sciences. 19:163-176

Θεματικοί όροι: extended Korteweg-de Vries equation, Kawahara equation, pseudospectral method, Gardner equation, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, cubic nonlinear term, fifth-order dispersion term

Περιγραφή αρχείου: application/xml

Irrational-Window-Filter Projection Method and Application to Quasiperiodic Schrödinger Eigenproblems: Irrational-window-filter projection method and application to quasiperiodic Schrödinger eigenproblems

Συγγραφείς: Kai Jiang, Xueyang Li, Yao Ma, Juan Zhang, Pingwen Zhang, Qi Zhou

Πηγή: SIAM Journal on Numerical Analysis. 63:564-587

Θεματικοί όροι: FOS: Mathematics, localized state, irrational-window-filter projection method, Numerical Analysis (math.NA), Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, 35P05, 35J10, 65D15, 65T50, 81-08, quasiperiodic Schrödinger eigenproblems, extended state, convergence analysis

Περιγραφή αρχείου: application/xml

Optimal Transport–Inspired Deep Learning Framework for Slow-Decaying Kolmogorov \({n}\)-Width Problems: Exploiting Sinkhorn Loss and Wasserstein Kernel: Optimal transport-inspired deep learning framework for slow-decaying Kolmogorov \(n\)-width problems: exploiting Sinkhorn loss and Wasserstein kernel

Συγγραφείς: Khamlich, Moaad, Pichi, Federico, Rozza, Gianluigi

Πηγή: SIAM Journal on Scientific Computing. 47:C235-C264

Θεματικοί όροι: FOS: Computer and information sciences, Computer Science - Machine Learning, Optimal transportation, kernel proper orthogonal decomposition, parameterized PDEs, Computational learning theory, deep learning, Sinkhorn loss, Numerical Analysis (math.NA), Wasserstein distance, convolutional autoencoders, Machine Learning (cs.LG), PDEs on manifolds, FOS: Mathematics, 68T05, 65D99, 41A05, 65N30, 41A46, 90C25, Mathematics - Numerical Analysis, Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Artificial neural networks and deep learning

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2308.13840
https://zbmath.org/8005982
https://doi.org/10.1137/23m1604680