Suchergebnisse - "Numerical methods for discrete and fast Fourier transforms"

Numerical Approximation of Discontinuous Solutions of the Semilinear Wave Equation: Numerical approximation of discontinuous solutions of the semilinear wave equation

Autoren: Jiachuan Cao Buyang Li Yanping Lin et al.

Quelle: SIAM Journal on Numerical Analysis. 63:214-238

Schlagwörter: Smoothness and regularity of solutions to PDEs, high-/low-frequency decomposition, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Numerical Analysis (math.NA), Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Error bounds for initial value and initial-boundary value problems involving PDEs, KdV equations (Korteweg-de Vries equations), error estimates, Numerical interpolation, semilinear wave equation, discontinuous solution, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, low regularity, Numerical methods for discrete and fast Fourier transforms, numerical approximation

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2312.10392
https://zbmath.org/7981229
https://doi.org/10.1137/24m1635879

A dual‐space multilevel kernel‐splitting framework for discrete and continuous convolution: A dual-space multilevel kernel-splitting framework for discrete and continuous convolution

Autoren: Jiang, Shidong Greengard, Leslie

Quelle: Communications on Pure and Applied Mathematics. 78:1086-1143

Schlagwörter: discrete convolution, 31A10, 65F30, 65E05, 65Y20, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, continuous convolution, 01 natural sciences, Numerical methods for discrete and fast Fourier transforms

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2308.00292
https://zbmath.org/8023947
https://doi.org/10.1002/cpa.22240

Unconditional error estimate of linearly-implicit and energy-preserving schemes for nonlocal wave equations

Autoren: Li, Lingling Fu, Yayun

Quelle: Computers & Mathematics with Applications. 176:492-509

Schlagwörter: GSAV method, Spectral methods applied to problems in fluid mechanics, nonlocal wave equation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Wave equation, energy-preserving, error estimate, unique solvability, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Fractional partial differential equations, Numerical methods for discrete and fast Fourier transforms

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7967267
https://doi.org/10.1016/j.camwa.2024.11.002

Fast Kernel Summation in High Dimensions via Slicing and Fourier Transforms: Fast kernel summation in high dimensions via slicing and Fourier transforms

Autoren: Johannes Hertrich

Quelle: SIAM Journal on Mathematics of Data Science. 6:1109-1137

Schlagwörter: FOS: Computer and information sciences, Computer Science - Machine Learning, Numerical radial basis function approximation, slicing, Numerical Analysis (math.NA), 01 natural sciences, Machine Learning (cs.LG), nonequispaced Fourier transforms, Algorithms for approximation of functions, fast kernel summation, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Numerical methods for discrete and fast Fourier transforms

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2401.08260
https://zbmath.org/7960206
https://doi.org/10.1137/24m1632085

Fast numerical derivatives of univariate functions on non-uniform grids

Autoren: Egidi, Nadaniela Giacomini, Josephin Maponi, Pierluigi

Quelle: Journal of Computational and Applied Mathematics. 467:116619

Schlagwörter: Numerical differentiation, numerical derivative, discrete Fourier transformation, Numerical derivative, Singular value expansion, singular value expansion, Approximation, approximation, Numerical methods for discrete and fast Fourier transforms, Discrete Fourier transformation

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8031367
https://doi.org/10.1016/j.cam.2025.116619
https://hdl.handle.net/11581/492805
https://doi.org/10.1016/j.cam.2025.116619

A Simple and Efficient Finite Difference Method for the Tempered Nonlocal Laplacian: A simple and efficient finite difference method for the tempered nonlocal Laplacian

Autoren: Xuehong Cui Rui Du Zhaopeng Hao

Quelle: Journal of Scientific Computing. 103

Schlagwörter: Finite difference methods for boundary value problems involving PDEs, convergence, Fractional derivatives and integrals, fast algorithm, Stability and convergence of numerical methods for boundary value problems involving PDEs, stability, Fractional partial differential equations, Numerical methods for discrete and fast Fourier transforms, tempered nonlocal Laplacian, finite difference method

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8016237
https://doi.org/10.1007/s10915-025-02823-2

A Grid-Overlay Finite Difference Method for Inhomogeneous Dirichlet Problems of the Fractional Laplacian on Arbitrary Bounded Domains: A grid-overlay finite difference method for inhomogeneous Dirichlet problems of the fractional Laplacian on arbitrary bounded domains

Autoren: Weizhang Huang Jinye Shen

Quelle: Journal of Scientific Computing. 102

Schlagwörter: Finite difference methods for boundary value problems involving PDEs, overlay grid, finite difference, mesh adaptation, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Fractional partial differential equations, Computational methods for sparse matrices, Error bounds for initial value and initial-boundary value problems involving PDEs, Fractional derivatives and integrals, inhomogeneous fractional Laplacian, Preconditioners for iterative methods, arbitrary domain, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Numerical methods for discrete and fast Fourier transforms

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7975323
https://doi.org/10.1007/s10915-024-02782-0

A High–Order Perturbation of Envelopes (HOPE) method for vector electromagnetic scattering by periodic inhomogeneous media: Analytic continuation: A high-order perturbation of envelopes (HOPE) method for vector electromagnetic scattering by periodic inhomogeneous media: analytic continuation

Autoren: David P. Nicholls Liet Vo

Quelle: Journal of Differential Equations. 422:106-151

Schlagwörter: Spectral, collocation and related methods applied to problems in optics and electromagnetic theory, high-order spectral methods, Composite media, random media in optics and electromagnetic theory, Perturbations in context of PDEs, 4. Education, inhomogeneous media, Analyticity in context of PDEs, Numerical Analysis (math.NA), Best approximation, Chebyshev systems, analytic continuation, Mathematics - Analysis of PDEs, Boundary value problems for second-order elliptic equations, Maxwell equations, high-order perturbation of envelopes methods, FOS: Mathematics, Spectral, collocation and related methods for boundary value problems involving PDEs, Mathematics - Numerical Analysis, Waves and radiation in optics and electromagnetic theory, layered media, PDEs in connection with optics and electromagnetic theory, Numerical methods for discrete and fast Fourier transforms, Diffraction, scattering, Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2407.03351

Fully-decoupled conservative exponential approaches for the coupled nonlinear Schrödinger-Boussinesq equations

Autoren: Cai, Jiaxiang Chen, Juan

Quelle: Discrete and Continuous Dynamical Systems - B. 29:2453-2470

Schlagwörter: discrete gradient method, NLS equations (nonlinear Schrödinger equations), Finite difference methods for initial value and initial-boundary value problems involving PDEs, Hamiltonian system, Numerical methods for Hamiltonian systems including symplectic integrators, Schrödinger-Boussinesq equation, fast Fourier transform, Numerical methods for discrete and fast Fourier transforms, exponential method, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7815409
https://doi.org/10.3934/dcdsb.2023186

Metric Algebroid and Poisson-Lie T-duality in DFT: Metric algebroid and Poisson-Lie T-duality in DFT

Autoren: Ursula Carow-Watamura Kohei Miura Satoshi Watamura

Quelle: Communications in Mathematical Physics. 402:1879-1930

Schlagwörter: High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Group structures and generalizations on infinite-dimensional manifolds, Differential topological aspects of diffeomorphisms, 0103 physical sciences, Dimensional compactification in quantum field theory, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, FOS: Physical sciences, Dilations, extensions, compressions of linear operators, String and superstring theories, other extended objects (e.g., branes) in quantum field theory, 01 natural sciences, Numerical methods for discrete and fast Fourier transforms

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2207.14725

Efficient eighth‐order accurate energy‐preserving compact difference schemes for the coupled Schrödinger–Boussinesq equations: Efficient eighth-order accurate energy-preserving compact difference schemes for the coupled Schrödinger-Boussinesq equations

Autoren: Mustafa Almushaira

Quelle: Mathematical Methods in the Applied Sciences. 46:17199-17225

Schlagwörter: Finite difference methods for boundary value problems involving PDEs, NLS equations (nonlinear Schrödinger equations), high-order compact difference, Schrödinger-Boussinesq equations, PDEs in connection with fluid mechanics, 01 natural sciences, fast finite solver, energy-preserving scheme, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Time-dependent Schrödinger equations and Dirac equations, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Numerical methods for discrete and fast Fourier transforms, scalar auxiliary variable

Dateibeschreibung: application/xml

Fully decoupled, linear, and energy-preserving GSAV difference schemes for the nonlocal coupled sine-Gordon equations in multiple dimensions

Autoren: Hu, Dongdong Kong, Linghua Cai, Wenjun et al.

Quelle: Numerical Algorithms. 95:1953-1980

Schlagwörter: GSAV approach, convergence, nonlocal coupled sine-Gordon equation, Gaussian kernel, Integro-partial differential equations, Error bounds for initial value and initial-boundary value problems involving PDEs, KdV equations (Korteweg-de Vries equations), energy-preserving algorithm, Soliton solutions, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related methods for boundary value problems involving PDEs, unique solvability, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Numerical methods for discrete and fast Fourier transforms, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7824756
https://doi.org/10.1007/s11075-023-01634-6

Very fast algorithms for implied barriers and moving-barrier options pricing

Autoren: Yu-Ming Lu Yuh-Dauh Lyuu

Quelle: Mathematics and Computers in Simulation. 205:251-271

Schlagwörter: algorithm, Derivative securities (option pricing, hedging, etc.), moving-barrier option, Numerical methods (including Monte Carlo methods), 0502 economics and business, 05 social sciences, implied barrier, translation invariance, option pricing, fast Fourier transform, Numerical methods for discrete and fast Fourier transforms

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7627995
https://doi.org/10.1016/j.matcom.2022.09.018

ON NUMERICAL SOLVING AN INVERSE PROBLEM FOR A MIXED PARABOLIC–HYPERBOLIC TYPE EQUATION OF FINDING THE RIGHT–HAND SIDE: On numerical solving an inverse problem for a mixed parabolic-hyperbolic type equation of finding the right-hand side

Autoren: Merzhova, Shakhlo Berdievna

Quelle: Журнал «Математические заметки СВФУ». :108-127

Schlagwörter: regularization, Numerical optimization and variational techniques, mixed parabolic-hyperbolic type equation, Smoothness and regularity of solutions to PDEs, nonlocal condition, residual functional, inverse problem, Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs, Fredholm integral equations, Fredholm equation of first kind, Numerical methods for discrete and fast Fourier transforms

Dateibeschreibung: application/xml

An Unconditionally Energy Stable Method for the Anisotropic Phase-Field Crystal Model in Two Dimension: An unconditionally energy stable method for the anisotropic phase-field crystal model in two dimension

Autoren: Yingying Xie Qi Li Liquan Mei

Quelle: Journal of Scientific Computing. 100

Schlagwörter: Lagrange multiplier method, anisotropic phase-field crystal model, Numerical methods based on nonlinear programming, Numerical computation of solutions to systems of equations, mass conservation, Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Dynamic and nonequilibrium phase transitions (general) in statistical mechanics, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Error bounds for initial value and initial-boundary value problems involving PDEs, Numerical mathematical programming methods, unconditional energy dissipation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Crystalline structure, Numerical methods for discrete and fast Fourier transforms, Statistical mechanics of crystals, Crystals in solids, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Computational density functional analysis in statistical mechanics, PDEs in connection with statistical mechanics

Dateibeschreibung: application/xml

An augmented fourth order domain-decomposed method with fast algebraic solvers for three-dimensional Helmholtz interface problems

Autoren: Yang, Huanfeng Long, Guangqing Ren, Yiming et al.

Quelle: Journal of Computational Physics. 524:113742

Schlagwörter: Helmholtz interface problems, domain decomposition, matched interface and boundary (MIB) method, fast Fourier transform (FFT), Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, mixed boundary conditions, high order finite difference methods, Numerical methods for discrete and fast Fourier transforms

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7996154
https://doi.org/10.1016/j.jcp.2025.113742

MS-IUFFNO: Multi-scale implicit U-net enhanced factorized fourier neural operator for solving geometric PDEs: MS-IUFFNO: multi-scale implicit U-net enhanced factorized Fourier neural operator for solving geometric PDEs

Autoren: Shengjun Liu Hanchao Liu Ting Zhang et al.

Quelle: Computer Methods in Applied Mechanics and Engineering. 437:117761

Schlagwörter: surface evolution, multi-scale, geometric partial differential equations, neural operator, Numerical methods for discrete and fast Fourier transforms, factorized Fourier neural operator, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Artificial neural networks and deep learning

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8013243
https://doi.org/10.1016/j.cma.2025.117761

Simplifying FFT-based methods for solid mechanics with automatic differentiation

Autoren: Mohit Pundir David S. Kammer

Quelle: Computer Methods in Applied Mechanics and Engineering. 435:117572

Schlagwörter: Multiscale, Condensed Matter - Materials Science, Homogenization, Automatic differentiation, homogenization, Materials Science (cond-mat.mtrl-sci), FOS: Physical sciences, spectral method, Condensed Matter - Soft Condensed Matter, automatic differentiation, multiscale, Homogenization, determination of effective properties in solid mechanics, Soft Condensed Matter (cond-mat.soft), Spectral method, Numerical methods for discrete and fast Fourier transforms

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2408.03804

Risk management of guaranteed minimum benefits under a regime-switching jump-diffusion model

Autoren: Hu, Wenlong Pang, Tao

Quelle: Numerical Algebra, Control and Optimization. 15:52-76

Schlagwörter: guaranteed minimum benefits, Fourier space time-stepping, Numerical methods (including Monte Carlo methods), jump-diffusion, Jump processes on discrete state spaces, variable annuity, Actuarial mathematics, regime-switching, Numerical methods for discrete and fast Fourier transforms

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7985285
https://doi.org/10.3934/naco.2024032

On non‐stationary polarization methods in FFT‐based computational micromechanics: On non-stationary polarization methods in FFT-based computational micromechanics

Autoren: Matti Schneider

Quelle: International journal for numerical methods in engineering, 122 (22), 6800-6821

Schlagwörter: ddc:620, polarization methods, Micromechanics of solids, 02 engineering and technology, 01 natural sciences, FFT-based computational homogenization, 0203 mechanical engineering, Homogenization in equilibrium problems of solid mechanics, computational micromechanics, 0101 mathematics, ADMM, porous materials, Engineering & allied operations, Numerical methods for discrete and fast Fourier transforms, Bauwissenschaften

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/nme.6812
https://zbmath.org/7863820
https://doi.org/10.1002/nme.6812
https://publikationen.bibliothek.kit.edu/1000138330
https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.6812
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85103205240
https://doi.org/10.1002/nme.6812