Numerical study of the fractional fourth-order evolution problems with weak singularity arises in chemical systems

Authors: Taneja, Komal, Chawla, Reetika, Kumar, Devendra, Vigo-Aguiar, J.

Source: Journal of Mathematical Chemistry. 63:1287-1311

Subject Terms: Numerical solution of boundary value problems involving ordinary differential equations, Fractional derivatives and integrals, graded mesh, time-fractional fourth order equation, stability and convergence, Numerical methods for initial value problems involving ordinary differential equations, evolution problems, quintic trigonometric B-spline, Caputo derivative, Numerical computation using splines

File Description: application/xml

Access URL: https://zbmath.org/8035161
https://doi.org/10.1007/s10910-025-01718-9

Caputo fractional derivative of $$\alpha $$-fractal spline: Caputo fractional derivative of \(\alpha\)-fractal spline

Authors: Priyanka, T. M. C., Gowrisankar, A., Prasad, M. Guru Prem, Liang, Yongshun, Cao, Jinde

Source: Numerical Algorithms. 99:207-228

Subject Terms: Legendre polynomial, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Caputo fractional derivative, Fractional derivatives and integrals, Numerical computation using splines, \(\alpha\)-fractal spline

File Description: application/xml

Access URL: https://zbmath.org/8032129
https://doi.org/10.1007/s11075-024-01875-z

Zipper rational fractal interpolation functions

Authors: R. Pasupathi, null Vijay, A. K. B. Chand, N. S. Upadhye

Source: The Journal of Analysis. 32:3197-3226

Subject Terms: Approximation by rational functions, Fractals, convexity, positivity, Numerical interpolation, rational cubic spline, zipper, fractal interpolation function, monotonicity, Interpolation in approximation theory, Real rational functions, Numerical computation using splines

File Description: application/xml

Access URL: https://zbmath.org/7965080
https://doi.org/10.1007/s41478-024-00796-3

Smaller stencil preconditioners for linear systems in RBF-FD discretizations

Authors: Koch, Michael, Le Borne, Sabine, Leinen, Willi

Source: Numerical Algorithms. 98:1313-1335

Subject Terms: polyharmonic spline, preconditioner, Polynomial augmentation, meshfree method, 65F08, 65M12, 65N22, Numerical radial basis function approximation, Radial basis function finite difference (RBF-FD), Polyharmonic spline, radial basis function finite difference (RBF-FD), 01 natural sciences, Numerical computation using splines, Meshfree method, polynomial augmentation, Iterative solver, Preconditioners for iterative methods, iterative solver, 0101 mathematics, Preconditioner, 65D12, 65F10, 65F55, 65D25

File Description: application/xml

Access URL: https://zbmath.org/7985680
https://doi.org/10.1007/s11075-024-01835-7

A reduced-order model based on cubic B-spline basis function and SSP Runge–Kutta procedure to investigate option pricing under jump-diffusion models: A reduced-order model based on cubic B-spline basis function and SSP Runge-Kutta procedure to investigate option pricing under jump-diffusion models

Authors: Mostafa Abbaszadeh, Yasmin Kalhor, Mehdi Dehghan, Marco Donatelli

Source: Engineering Analysis with Boundary Elements. 150:154-166

Subject Terms: Black-Scholes model and stock price, option pricing under jump-diffusion, Derivative securities (option pricing, hedging, etc.), European put and call options, Numerical methods (including Monte Carlo methods), proper orthogonal decomposition method, cubic B-spline function and collocation method, pseudospectral method, Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, 01 natural sciences, Numerical computation using splines

File Description: application/xml

An augmented interface approach in fictitious domain methods

Authors: Swapnil Kale, Debasish Pradhan

Source: Computers & Mathematics with Applications. 125:238-247

Subject Terms: Error bounds for boundary value problems involving PDEs, finite element method, Nonlinear elasticity, uniform mesh, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, elliptic problems, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, 01 natural sciences, penalty approach, Numerical computation using splines, Boundary value problems for second-order elliptic equations, Numerical integration, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, curved domain, 0101 mathematics, Plates, error analysis

File Description: application/xml

Access URL: https://zbmath.org/7608986
https://doi.org/10.1016/j.camwa.2022.09.001

Extremal functional -interpolation on an arbitrary mesh on the real axis: Extremal functional \(L_p\)-interpolation on an arbitrary mesh on the real axis

Authors: Subbotin, Yurii N., Shevaldin, Valerii T.

Source: Sbornik: Mathematics. 213:556-577

Subject Terms: Best approximation, Chebyshev systems, Spline approximation, extremal interpolation, derivative, divided difference, difference equation, spline, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory, Numerical computation using splines

File Description: application/xml

A POD based reduced-order local RBF collocation approach for time-dependent nonlocal diffusion problems

Authors: Jiashu Lu, Lei Zhang, Xuncheng Guo, Qiong Qi

Source: Applied Mathematics Letters. 160:109328

Subject Terms: nonlocal models, Numerical interpolation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Numerical radial basis function approximation, fast algorithm, model reduction, radial basis functions, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Methods of ordinary differential equations applied to PDEs, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Numerical computation using splines

File Description: application/xml

ARMS: Adding and removing markers on splines for high-order general interface tracking under the MARS framework: ARMS: adding and removing markers on splines for high-order general interface tracking under the MARS framework

Authors: Difei Hu, Kaiyi Liang, Linjie Ying, Sen Li, Qinghai Zhang

Source: Journal of Computational Physics. 521:113574

Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, adding and removing markers on splines (ARMS), general interface tracking, mapping and adjusting regular semianalytic sets (MARS), mean curvature flows, Yin sets, Stefan problem, geometric partial differential equations, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Numerical computation using splines

File Description: application/xml

Many-Stage Optimal Stabilized Runge–Kutta Methods for Hyperbolic Partial Differential Equations: Many-stage optimal stabilized Runge-Kutta methods for hyperbolic partial differential equations

Authors: Döhring, Daniel, Gassner, Gregor J., Torrilhon, Manuel

Source: Journal of scientific computing 99(1), 28 (2024). doi:10.1007/s10915-024-02478-5

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, Numerical computation of eigenvalues and eigenvectors of matrices, Numerical optimization and variational techniques, Runge-Kutta methods, method of lines, FOS: Physical sciences, Numerical Analysis (math.NA), Mathematical Physics (math-ph), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, PDE constrained optimization (numerical aspects), 65L06, 65M20, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, absolute stability, Numerical computation using splines, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Best approximation, Chebyshev systems, Mathematics - Classical Analysis and ODEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, initial value problems, Mathematics - Numerical Analysis, Mathematical Physics

File Description: application/xml

Access URL: http://arxiv.org/abs/2402.12140
https://zbmath.org/7823279
https://doi.org/10.1007/s10915-024-02478-5
https://publications.rwth-aachen.de/record/1006130

Hyperbolic Non-Polynomial Spline Approach for Time-Fractional Coupled KdV Equations: A Computational Investigation

Authors: Miguel Vivas-Cortez, Majeed A. Yousif, Pshtiwan Othman Mohammed, Alina Alb Lupas, Ibrahim S. Ibrahim, Nejmeddine Chorfi

Source: Symmetry ; Volume 16 ; Issue 12 ; Pages: 1610

Subject Terms: conformable derivative, numerical computation using splines, time-fractional KdV equation, stability analysis

File Description: application/pdf

Relation: Mathematics; https://dx.doi.org/10.3390/sym16121610

Availability: https://doi.org/10.3390/sym16121610

Cutting-Edge Computational Approaches for Approximating Nonlocal Variable-Order Operators

Authors: Nayereh Tanha, Behrouz Parsa Moghaddam, Mousa Ilie

Source: Computation, Vol 12, Iss 1, p 14 (2024)

Subject Terms: fractional calculus, integro spline, quasi interpolation, variable-order fractional derivatives and integrals, numerical computation using splines, Electronic computers. Computer science, QA75.5-76.95

Relation: https://www.mdpi.com/2079-3197/12/1/14; https://doaj.org/toc/2079-3197; https://doaj.org/article/23fb760c7ecc4adab527fd3ee2dfbb52

Availability: https://doi.org/10.3390/computation12010014
https://doaj.org/article/23fb760c7ecc4adab527fd3ee2dfbb52

A spline-based FE approach to modelling of high frequency dynamics of 1-D structures

Authors: A. Żak, W. Waszkowiak

Source: Computers & Mathematics with Applications. 104:14-33

Subject Terms: Finite element methods applied to problems in solid mechanics, Error bounds for boundary value problems involving PDEs, Linear elasticity with initial stresses, Numerical approximation of solutions of dynamical problems in solid mechanics, finite element method, Nonlinear elasticity, wave propagation, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, high frequency dynamics, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Numerical computation using splines, 0201 civil engineering, Research exposition (monographs, survey articles) pertaining to numerical analysis, Finite difference methods for initial value and initial-boundary value problems involving PDEs, finite elements, splines, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, PDEs in connection with mechanics of deformable solids, 0210 nano-technology

File Description: application/xml

Access URL: https://zbmath.org/7447583
https://doi.org/10.1016/j.camwa.2021.11.003
https://www.sciencedirect.com/science/article/pii/S0898122121003941

A Fourth-Order Unstructured NURBS-Enhanced Finite Volume WENO Scheme for Steady Euler Equations in Curved Geometries: A fourth-order unstructured NURBS-enhanced finite volume WENO scheme for steady Euler equations in curved geometries

Authors: Yaguang Gu, Guanghui Hu, Xucheng Meng

Source: Communications on Applied Mathematics and Computation. 5:315-342

Subject Terms: Multigrid methods, domain decomposition for boundary value problems involving PDEs, WENO reconstruction, Finite volume methods for boundary value problems involving PDEs, Transonic flows, Numerical computation of solutions to systems of equations, Finite volume methods applied to problems in fluid mechanics, curved boundary, NURBS-enhanced finite volume method, secondary reconstruction, Euler equations, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Shock waves and blast waves in fluid mechanics, 01 natural sciences, Numerical computation using splines, steady Euler equations, 0103 physical sciences, Existence, uniqueness, and regularity theory for incompressible inviscid fluids

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/s42967-021-00163-0

B-spline wavelet boundary element method for three-dimensional problems

Authors: Qi Wei, Jiawei Xiang

Source: Acta Mechanica. 232:3233-3257

Subject Terms: ring domain, singular integration, 0203 mechanical engineering, Classical linear elasticity, linear elasticity, scaling function, potential problem: spherical domain: cube domain, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Boundary element methods applied to problems in solid mechanics, Numerical computation using splines, Gauss quadrature scheme

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/s00707-021-03009-1

Geometry-independent spline finite element method to analyze two-dimensional heat conduction and elasticity problems

Authors: Jiaxing Chen, Lei Wang, Jiawei Xiang

Source: Applied Mathematical Modelling. 136:115621

Subject Terms: isogeometric analysis, Finite element methods applied to problems in solid mechanics, finite element method, heat conduction, elasticity, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, transformation matrix, PDEs in connection with mechanics of deformable solids, Numerical computation using splines

File Description: application/xml

Access URL: https://zbmath.org/8005534
https://doi.org/10.1016/j.apm.2024.07.028

A B-spline based gradient-enhanced micropolar implicit material point method for large localized inelastic deformations

Authors: M. Neuner, A. Dummer, S. Abrari Vajari, P. Gamnitzer, H. Gimperlein, C. Linder, G. Hofstetter

Source: Computer Methods in Applied Mechanics and Engineering. 431:117291

Subject Terms: Friction in solid mechanics, gradient-enhanced continuum, B-spline, material point method, micropolar continuum, shear failure, Numerical computation using splines

File Description: application/xml

Regularised B-splines Projected Gaussian Process Priors to Estimate Time-trends in Age-specific COVID-19 Deaths: Regularised B-splines projected Gaussian process priors to estimate time-trends in age-specific COVID-19 deaths

Authors: Monod, Mélodie, Blenkinsop, Alexandra, Brizzi, Andrea, Chen, Yu, Cardoso Correia Perello, Carlos, Jogarah, Vidoushee, Wang, Yuanrong, Flaxman, Seth, Bhatt, Samir, Ratmann, Oliver

Source: Monod, M, Blenkinsop, A, Brizzi, A, Chen, Y, Cardoso Correia Perello, C, Jogarah, V, Wang, Y, Flaxman, S, Bhatt, S & Ratmann, O 2023, ' Regularised B-splines Projected Gaussian Process Priors to Estimate Time-trends in Age-specific COVID-19 Deaths ', Bayesian Analysis, vol. 18, no. 3 . https://doi.org/10.1214/22-BA1334

Subject Terms: 0301 basic medicine, 0303 health sciences, Statistics, Bayesian inference, Gaussian processes, Bayesian statistics, Gaussian process approximations, mortality, 01 natural sciences, Numerical computation using splines, Applications of statistics to biology and medical sciences, meta analysis, 3. Good health, 03 medical and health sciences, non-parametric statistics, Stan probabilistic computing language, 0101 mathematics, Covid-19

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/7956072
https://doi.org/10.1214/22-ba1334
http://hdl.handle.net/10044/1/99544
https://curis.ku.dk/ws/files/366724495/22_BA1334_1_.pdf

Formulation and Analysis of a Cubic B-Spline-Based Time Integration Procedure for Structural Seismic Response Analysis: Formulation and analysis of a cubic B-spline-based time integration procedure for structural seismic response analysis

Authors: Liu, Tianhao, Wang, Pan, Wen, Weibin, Feng, Fan

Source: International Journal of Structural Stability and Dynamics. 23

Subject Terms: momentum corrector, Seismology (including tsunami modeling), earthquakes, 0203 mechanical engineering, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, time integration, 0211 other engineering and technologies, explicit, 02 engineering and technology, structural dynamics, Numerical computation using splines, 0201 civil engineering

File Description: application/xml

Access URL: https://zbmath.org/7811081
https://doi.org/10.1142/s0219455423501808

Effects of parameterization and knot placement techniques on primal and mixed isogeometric collocation formulations of spatial shear-deformable beams with varying curvature and torsion

Authors: Alessandro Reali, Ali Hashemian, Seyed Farhad Hosseini, Enzo Marino

Contributors: Marino, E., Hosseini, S. F., Hashemian, A., Reali, A.

Source: BIRD. BCAM's Institutional Repository Data
instname
BIRD: BCAM's Institutional Repository Data

Subject Terms: Parameterization and knot placement, Primal and mixed beam formulation, Shear-deformable free-form beams, Isogeometric collocation, Primal and mixed beam formulations, 0211 other engineering and technologies, 02 engineering and technology, Numerical computation using splines, Computer-aided design (modeling of curves and surfaces), Isogeometric methods applied to problems in solid mechanics, isogeometric collocation, primal and mixed beam formulations, parameterization and knot placement, Spectral, collocation and related methods for boundary value problems involving PDEs, Rods (beams, columns, shafts, arches, rings, etc.), shear-deformable free-form beams

File Description: application/pdf; application/xml

Access URL: https://bird.bcamath.org/bitstream/20.500.11824/1109/1/3D_linear_rod_v11_R1_v02_preprint.pdf
http://hdl.handle.net/20.500.11824/1109
https://zbmath.org/7283122
https://doi.org/10.1016/j.camwa.2020.06.006
https://bird.bcamath.org/handle/20.500.11824/1109
https://flore.unifi.it/handle/2158/1199243
https://flore.unifi.it/bitstream/2158/1199243/1/Marino%20et%20al.%20-%202020%20-%20Effects%20of%20parameterization%20and%20knot%20placement%20techniques%20on%20primal%20and%20mixed%20isogeometric%20collocation%20formulatio.pdf
https://www.sciencedirect.com/science/article/pii/S0898122120302558
https://dblp.uni-trier.de/db/journals/cma/cma80.html#MarinoHHR20