Conforming/non-conforming mixed finite element methods for optimal control of velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity

Authors: Harpal Singh, Arbaz Khan

Source: Computers & Mathematics with Applications. 198:59-92

Subject Terms: FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 49N10, 65N12, 65N15, 76D07, 76M10

Access URL: http://arxiv.org/abs/2407.01977

Unique continuation principles for finite-element discretizations of the Laplacian

Authors: Graham Cox, Scott MacLachlan, Luke Steeves

Source: Linear Algebra and its Applications. 727:84-111

Subject Terms: Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Spectral Theory (math.SP), Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2410.08963

A space-time discontinuous Petrov-Galerkin finite element formulation for a modified Schrödinger equation for laser pulse propagation in waveguides

Authors: A. Chakraborty, J. Muñoz-Matute, L. Demkowicz, J. Grosek

Source: Computers & Mathematics with Applications. 200:67-84

Subject Terms: FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA)

Access URL: http://arxiv.org/abs/2412.03502

A third-order finite difference weighted essentially non-oscillatory scheme with shallow neural network

Authors: Kwanghyuk Park, Xinjuan Chen, Dongjin Lee, Jiaxi Gu, Jae-Hun Jung

Source: Applied Numerical Mathematics. 218:1-21

Subject Terms: FOS: Computer and information sciences, Computer Science - Machine Learning, FOS: Mathematics, Computer Science - Neural and Evolutionary Computing, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Neural and Evolutionary Computing (cs.NE), Machine Learning (cs.LG)

Access URL: http://arxiv.org/abs/2407.06333

A boundary-corrected weak Galerkin mixed finite method for elliptic interface problems with curved interfaces

Authors: Hou, Yongli, Liu, Yi, Wang, Yanqiu

Source: Applied Numerical Mathematics. 218:201-219

Subject Terms: FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 65N12, 65N22

Access URL: http://arxiv.org/abs/2502.03157

Convergence analysis of a Schrödinger problem with moving boundary

Authors: Daniel G. Alfaro Vigo, Daniele C.R. Gomes, Bruno A. do Carmo, Mauro A. Rincon

Source: Mathematics and Computers in Simulation. 238:45-64

Subject Terms: Mathematics - Analysis of PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2410.08910

A posteriori error estimates for the finite element approximation of the convection–diffusion–reaction equation based on the variational multiscale concept

Authors: Codina, Ramon, Gravenkamp, Hauke, Ahmed Khan, Sheraz

Source: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Subject Terms: A posteriori error estimates, Convection-diffusion-reaction equation, Orthogonal sub-grid scales, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Variational multiscale method

File Description: application/pdf

Access URL: http://arxiv.org/abs/2505.02531

Extending Elman's bound for GMRES

Authors: Mark Embree

Source: Linear Algebra and its Applications. 726:54-70

Subject Terms: FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA)

Access URL: http://arxiv.org/abs/2312.15022

Stable sparse operator inference for nonlinear structural dynamics

Authors: Pascal den Boef, Diana Manvelyan-Stroot, Joseph Maubach, Wil Schilders, Nathan van de Wouw

Source: Computers & Mathematics with Applications. 200:228-242

Subject Terms: FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA)

Access URL: http://arxiv.org/abs/2407.21672

A hidden variable resultant method for the polynomial multiparameter eigenvalue problem

Authors: Emil Graf, Alex Townsend

Source: Linear Algebra and its Applications. 727:37-60

Subject Terms: 65F15, 15A18, 15A22, 15A69, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), G.1.3

Access URL: http://arxiv.org/abs/2503.22887

Representation of solutions of the one-dimensional Dirac equation in terms of Neumann series of Bessel functions

Authors: E. Roque, S.M. Torba

Source: Mathematics and Computers in Simulation. 238:568-584

Subject Terms: Mathematics - Classical Analysis and ODEs, 34A25, 34A30, 34A45, 34B30, 34L40, 35L40, 33C45, 65L05, 65L15, 81Q05, Classical Analysis and ODEs (math.CA), FOS: Mathematics, FOS: Physical sciences, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Mathematical Physics (math-ph), Mathematical Physics

Access URL: http://arxiv.org/abs/2502.00303

Localization of tumor through a non-conventional numerical shape optimization technique

Authors: Julius Fergy Tiongson Rabago

Source: Applied Numerical Mathematics. 217:135-171

Subject Terms: Optimization and Control (math.OC), FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Mathematics - Optimization and Control, 49N45, 49Q10, 49K40, 65N21, 65N30, 65N50

Access URL: http://arxiv.org/abs/2502.20656

Numerical scheme for the solution of the 'bad' Boussinesq equation

Authors: Christophe Charlier, Daniel Eriksson, Jonatan Lenells

Source: Applied Numerical Mathematics. 217:216-233

Subject Terms: FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA)

Access URL: http://arxiv.org/abs/2406.02183

Using co-located range and Doppler radars for initial orbit determination

Authors: Cristina Parigini, Laura Pirovano, Roberto Armellin, Darren McKnight, Adam Marsh, Tom Reddell

Source: Acta Astronautica. 236:324-331

Subject Terms: FOS: Mathematics, FOS: Physical sciences, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Astrophysics - Instrumentation and Methods for Astrophysics, Instrumentation and Methods for Astrophysics (astro-ph.IM)

Access URL: http://arxiv.org/abs/2503.09135

A novel mortar method integration using radial basis functions

Authors: Daniele Moretto, Andrea Franceschini, Massimiliano Ferronato

Source: Computers & Mathematics with Applications. 198:38-58

Subject Terms: FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA)

Access URL: http://arxiv.org/abs/2409.11735

Exponentially accurate spectral Monte Carlo method for linear PDEs and their error estimates

Authors: Jiaying Feng, Changtao Sheng, Chenglong Xu

Source: Applied Numerical Mathematics. 217:278-297

Subject Terms: G.1, FOS: Mathematics, 65N35, 65C05, 60G52, 65M15, 33C45, Mathematics - Numerical Analysis, Numerical Analysis (math.NA)

Access URL: http://arxiv.org/abs/2502.15123

A high-order accurate unconditionally stable bound-preserving numerical scheme for the Cahn-Hilliard-Navier-Stokes equations

Authors: Yali Gao, Daozhi Han, Sayantan Sarkar

Source: Applied Numerical Mathematics. 217:96-111

Subject Terms: Mathematics - Analysis of PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2407.16498

Local convergence analysis of L1/finite element scheme for a constant delay reaction-subdiffusion equation with uniform time mesh

Authors: Bu, Weiping, Zheng, Xin

Source: Mathematics and Computers in Simulation. 237:70-85

Subject Terms: FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA)

Access URL: http://arxiv.org/abs/2407.05041

The spectral map for weighted Cauchy matrices is an involution

Authors: Alexander Pushnitski, Sergei Treil

Source: Pushnitski, A & Treil, S 2025, ' The spectral map for weighted Cauchy matrices is an involution ', LINEAR ALGEBRA AND ITS APPLICATIONS .

Subject Terms: 15B05, Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Rings and Algebras, Mathematics - Numerical Analysis, Numerical Analysis (math.NA)

File Description: application/pdf

Access URL: http://arxiv.org/abs/2504.18707
https://kclpure.kcl.ac.uk/ws/files/337590040/Involution.pdf

Generalization error analysis of deep backward dynamic programming for solving nonlinear PDEs

Authors: Du Ouyang, Jichang Xiao, Xiaoqun Wang

Source: Applied Numerical Mathematics. 217:319-339

Subject Terms: FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA)

Access URL: http://arxiv.org/abs/2407.14566