Výsledky vyhledávání - "Error bounds for initial value and initial-boundary value problems involving PDEs"

Energy stability and error estimate of the RKMK2e scheme for the extended Fisher–Kolmogorov equation: Energy stability and error estimate of the RKMK2e scheme for the extended Fisher-Kolmogorov equation

Autoři: Haifeng Wang Yan Wang Hong Zhang a další

Zdroj: Applied Numerical Mathematics. 212:60-76

Témata: Error bounds for initial value and initial-boundary value problems involving PDEs, global-in-time energy stability, Finite difference methods for initial value and initial-boundary value problems involving PDEs, extended Fisher-Kolmogorov equation, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, error analysis, stabilization RKMK2e scheme

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8018678
https://doi.org/10.1016/j.apnum.2025.01.014

Second-Order Flows for Approaching Stationary Points of a Class of Nonconvex Energies via Convex-Splitting Schemes: Second-order flows for approaching stationary points of a class of nonconvex energies via convex-splitting schemes

Autoři: Haifan Chen Guozhi Dong José A. Iglesias a další

Zdroj: SIAM Journal on Scientific Computing. 47:A1604-A1627

Témata: Numerical optimization and variational techniques, convergence, stationary point, Numerical Analysis (math.NA), convex-splitting scheme, nonconvex functional, Error bounds for initial value and initial-boundary value problems involving PDEs, Mathematics - Analysis of PDEs, Second-order semilinear hyperbolic equations, Optimization and Control (math.OC), 35Q90, 35L71, 65M15, 65K10, FOS: Mathematics, dissipative hyperbolic equation, Mathematics - Numerical Analysis, PDEs in connection with mathematical programming, second-order flow, Mathematics - Optimization and Control, Analysis of PDEs (math.AP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2402.12173

Optimal L2 error estimates of two structure-preserving finite element methods for Schrödinger-Boussinesq equations: Optimal \(L^2\) error estimates of two structure-preserving finite element methods for Schrödinger-Boussinesq equations

Autoři: Houchao Zhang Junjun Wang Xueran Gong

Zdroj: Applied Numerical Mathematics. 211:193-210

Témata: Error bounds for initial value and initial-boundary value problems involving PDEs, optimal error estimates, NLS equations (nonlinear Schrödinger equations), Schrödinger-Boussinesq (SBq) equations, finite element method, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, structure-preserving

Popis souboru: application/xml

Energy Stable and Maximum Bound Principle Preserving Schemes for the \(\boldsymbol {Q}\)-Tensor Flow of Liquid Crystals: Energy stable and maximum bound principle preserving schemes for the \(Q\)-tensor flow of liquid crystals

Autoři: Dianming Hou Xiaoli Li Zhonghua Qiao a další

Zdroj: SIAM Journal on Numerical Analysis. 63:854-880

Témata: energy stability, Error bounds for initial value and initial-boundary value problems involving PDEs, error estimates, \(Q\)-tensor, FOS: Mathematics, Initial-boundary value problems for higher-order parabolic equations, liquid crystal, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, maximum bound principle

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2309.02657

Optimizing Coarse Propagators in Parareal Algorithms: Optimizing coarse propagators in parareal algorithms

Autoři: Bangti Jin Qingle Lin Zhi Zhou

Zdroj: SIAM Journal on Scientific Computing. 47:A735-A761

Témata: Method of lines for initial value and initial-boundary value problems involving PDEs, convergence factor, single step integrator, Parallel numerical computation, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Error bounds for initial value and initial-boundary value problems involving PDEs, parareal algorithm, 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, parabolic problems

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2311.15320
https://zbmath.org/8010023
https://doi.org/10.1137/23m1619733

Efficient Adaptive Time-Stepping for Nonlinear Reaction-Diffusion Equations Using Crank-Nicolson Mixed FEM and Proper Orthogonal Decomposition: Efficient adaptive time-stepping for nonlinear reaction-diffusion equations using Crank-Nicolson mixed FEM and proper orthogonal decomposition

Autoři: Shehabeldeen, Nermeen M. El-Shehawey, Mohammad A. El-Sayed, Ahmed M. A. a další

Zdroj: Electronic Journal of Mathematical Analysis and Applications. 13:1-16

Témata: Neumann boundary conditions, Error bounds for initial value and initial-boundary value problems involving PDEs, proper orthogonal decomposition, reaction-diffusion equations, Reaction-diffusion equations, Crank-Nicolson method, finite element method, adaptive time-stepping, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Dirichlet boundary conditions

Popis souboru: application/xml

Numerical treatment of singularly perturbed turning point problems with delay in time

Autoři: Singh, Satpal Kumar, Devendra Vigo-Aguiar, J.

Zdroj: Journal of Mathematical Chemistry. 63:1035-1064

Témata: Finite difference methods for boundary value problems involving PDEs, Shishkin mesh, Stability and convergence of numerical methods for boundary value problems involving PDEs, turning point, time lag, Spline approximation, Error bounds for initial value and initial-boundary value problems involving PDEs, parameter-uniform convergence, Second-order parabolic equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for ordinary differential equations, delay differential equation, Singular perturbations, turning point theory, WKB methods for ordinary differential equations, splines, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, singular perturbation, Singular perturbations in context of PDEs

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8018422
https://doi.org/10.1007/s10910-025-01707-y

Study of a New Low-Oscillating Second-Order All-Mach Number IMEX Finite Volume Scheme for the Full Euler Equations: Study of a new low-oscillating second-order all-Mach number IMEX finite volume scheme for the full Euler equations

Autoři: Allegrini, P Vignal, Mh Vignal, Marie-Hélène

Přispěvatelé: Allegrini, P Vignal, Mh Vignal, Marie-Hélène

Zdroj: SIAM Journal on Scientific Computing. 47:A268-A299

Témata: high-order schemes, Asymptotic Preserving schemes, High-order schemes, [MATH] Mathematics [math], hyperbolic conservation laws, IMEX schemes, Error bounds for initial value and initial-boundary value problems involving PDEs, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Hyperbolic conservation laws, Compressible fluids and gas dynamics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, asymptotic preserving schemes, finite volumes, low Mach number limit, Low Mach number limit

Popis souboru: application/xml; application/pdf

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

Autoři: Jiachuan Cao Buyang Li Yanping Lin a další

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

Témata: 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

Popis souboru: application/xml

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

Error analysis of the Lie splitting for semilinear wave equations with finite-energy solutions

Autoři: Ruff, Maximilian Schnaubelt, Roland

Zdroj: Discrete and Continuous Dynamical Systems. 45:2969-3008

Témata: 65M15 (Primary) 35B33, 35L71, 65M12 (Secondary), Numerical Analysis (math.NA), Critical exponents in context of PDEs, energy-critical semilinear wave equation, Error bounds for initial value and initial-boundary value problems involving PDEs, Mathematics - Analysis of PDEs, Second-order semilinear hyperbolic equations, Lie splitting, FOS: Mathematics, Mathematics - Numerical Analysis, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, error analysis, discrete Strichartz estimates, Analysis of PDEs (math.AP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2311.03245

Numerical approximation for stochastic nonlinear fractional diffusion equation driven by rough noise

Autoři: Daxin Nie Jing Sun Weihua Deng

Zdroj: ESAIM: Mathematical Modelling and Numerical Analysis. 59:389-418

Témata: Numerical solutions to stochastic differential and integral equations, Smoothness and regularity of solutions to PDEs, finite element method, Fractional processes, including fractional Brownian motion, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, fractional Brownian sheet, Numerical quadrature and cubature formulas, Fractional partial differential equations, 01 natural sciences, Wong-Zakai approximation, Error bounds for initial value and initial-boundary value problems involving PDEs, stochastic fractional diffusion equation, Fractional derivatives and integrals, convolution quadrature, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, PDEs with randomness, stochastic partial differential equations, Mathematics - Numerical Analysis, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, error analysis

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2201.10897

Regularity Theory and Numerical Algorithm for the Time-Fractional Klein-Kramers Equation: Regularity theory and numerical algorithm for the time-fractional Klein-Kramers equation

Autoři: Sun, Jing Nie, Daxin Deng, Weihua

Zdroj: Journal of Computational Mathematics. 43:257-279

Témata: Error bounds for initial value and initial-boundary value problems involving PDEs, convolution quadrature, regularity estimate, local discontinuous Galerkin method, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, time-fractional Klein-Kramers equation, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Fractional partial differential equations, error analysis

Popis souboru: application/xml

Structure-preserving finite element methods for computing dynamics of rotating Bose–Einstein condensates: Structure-preserving finite element methods for computing dynamics of rotating Bose-Einstein condensates

Autoři: Li, Meng Wang, Junjun Guan, Zhen a další

Zdroj: ESAIM: Mathematical Modelling and Numerical Analysis. 59:519-552

Témata: NLS equations (nonlinear Schrödinger equations), structure-preserving, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, rotating Bose-Einstein condensate, Error bounds for initial value and initial-boundary value problems involving PDEs, Time-dependent Schrödinger equations and Dirac equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Quantum dynamics and nonequilibrium statistical mechanics (general), Statistical mechanics of superfluids, FOS: Mathematics, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, finite element methods, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Gross-Pitaevskii equation, angular momentum rotation

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2405.16827
https://zbmath.org/7989674
https://doi.org/10.1051/m2an/2024067

An Energy Stable Local Discontinuous Galerkin Method for a Binary Compressible Flow: An energy stable local discontinuous Galerkin method for a binary compressible flow

Autoři: Sun, Hui Tian, Lulu Guo, Hui

Zdroj: Advances in Applied Mathematics and Mechanics. 17:888-908

Témata: binary compressible flow, Error bounds for initial value and initial-boundary value problems involving PDEs, Crank-Nicolson time integration method, energy-stable, local discontinuous Galerkin method, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs

Popis souboru: application/xml

WAN Discretization of PDEs: Best Approximation, Stabilization, and Essential Boundary Conditions: WAN discretization of PDEs: best approximation, stabilization, and essential boundary conditions

Autoři: Silvia Bertoluzza Erik Burman Cuiyu He

Zdroj: SIAM Journal on Scientific Computing. 46:C688-C715

Témata: Cea's Lemma, pseudotime XNODE, Numerical optimization and variational techniques, Systems of nonlinear higher-order PDEs, Pseudo-time XNODE, Cea's lemma, Stability and convergence of numerical methods for boundary value problems involving PDEs, Error bounds for initial value and initial-boundary value problems involving PDEs, PDEs on manifolds, weak adversarial network, Numerical PDE, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Weak solutions to PDEs, Weak Adversarial Network, Artificial neural networks and deep learning

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://zbmath.org/7964724
https://doi.org/10.1137/23m1588196

A Second-Order, Global-in-Time Energy Stable Implicit-Explicit Runge–Kutta Scheme for the Phase Field Crystal Equation: A second-order, global-in-time energy stable implicit-explicit Runge-Kutta scheme for the phase field crystal equation

Autoři: Hong Zhang Haifeng Wang Xueqing Teng

Zdroj: SIAM Journal on Numerical Analysis. 62:2667-2697

Témata: global-in-time energy stability, phase field crystal equation, linear stabilization, optimal rate convergence analysis, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Integro-partial differential equations, Error bounds for initial value and initial-boundary value problems involving PDEs, 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, Crystals in solids, Statistical mechanics of crystals, implicit-explicit Runge-Kutta method, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, PDEs in connection with statistical mechanics

Popis souboru: application/xml

A two level approach for simulating Bose–Einstein condensates by Localized Orthogonal Decomposition: A two level approach for simulating Bose-Einstein condensates by localized orthogonal decomposition

Autoři: Christian Döding Patrick Henning Johan Wärnegård

Zdroj: ESAIM: Mathematical Modelling and Numerical Analysis. 58:2317-2349

Témata: Bose-Einstein condensate, NLS equations (nonlinear Schrödinger equations), finite element method, dynamics, Numerical Analysis (math.NA), 01 natural sciences, Error bounds for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, ground state, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, 0101 mathematics, nonlinear Schrödinger equation, 35Q55, 65M60, 65M15, 81Q05, Gross-Pitaevskii equation

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2212.07392
https://zbmath.org/7971357
https://doi.org/10.1051/m2an/2024040

A reduced-order two-grid method based on POD technique for the semilinear parabolic equation

Autoři: Junpeng Song Hongxing Rui

Zdroj: Applied Numerical Mathematics. 205:240-254

Témata: reduced-order two-grid, error estimate, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Error bounds for initial value and initial-boundary value problems involving PDEs, proper orthogonal decomposition, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, degrees of freedom, Finite difference methods for initial value and initial-boundary value problems involving PDEs, semilinear parabolic equation, Finite element, Rayleigh-Ritz and Galerkin methods 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, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Semilinear parabolic equations

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7901906
https://doi.org/10.1016/j.apnum.2024.07.012

Stability analysis and error estimation based on difference spectral approximation for Allen–Cahn equation in a circular domain: Stability analysis and error estimation based on difference spectral approximation for Allen-Cahn equation in a circular domain

Autoři: Zhenlan Pan Jihui Zheng Jing An

Zdroj: Mathematical Methods in the Applied Sciences. 48:3214-3232

Témata: Error bounds for initial value and initial-boundary value problems involving PDEs, circular domain, differential spectral approximation, stability and error estimation, Spectral, collocation and related methods for boundary value problems involving PDEs, Allen-Cahn equation, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Popis souboru: application/xml

Computational and analytical studies of a new nonlocal phase-field crystal model in two dimensions

Autoři: Qiang Du Kai Wang Jiang Yang

Zdroj: Mathematical Models and Methods in Applied Sciences. 34:2099-2139

Témata: Fourier spectral methods, crystal lattices, Nonlinear higher-order PDEs, Numerical Analysis (math.NA), nonlocal phase-field crystal models, 01 natural sciences, Error bounds for initial value and initial-boundary value problems involving PDEs, grain boundary, FOS: Mathematics, Mathematical modeling or simulation for problems pertaining to statistical mechanics, Theoretical approximation of solutions to integral equations, Mathematics - Numerical Analysis, asymptotically compatible schemes, structure factor, 0101 mathematics, Statistical mechanics of crystals

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2407.15156
https://zbmath.org/7938963
https://doi.org/10.1142/s0218202524500441