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

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

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

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

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 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

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

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

Strong Norm Error Bounds for Quasilinear Wave Equations Under Weak CFL-Type Conditions: Strong norm error bounds for quasilinear wave equations under weak CFL-type conditions

Autoři: Dörich, Benjamin

Zdroj: Foundations of Computational Mathematics, 25 (1), 303–350

Témata: ddc:510, Numerical solutions to equations with nonlinear operators, nonconforming space discretization, a-priori error bounds, Full discretization, A-priori error bounds, quasilinear wave equation, 01 natural sciences, Nonconforming space discretization, Error bounds for initial value and initial-boundary value problems involving PDEs, Error analysis, full discretization, Wave equation, Isoparametric finite elements, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Quasilinear wave equation, Mathematics, error analysis, isoparametric finite elements

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://publikationen.bibliothek.kit.edu/1000168974
https://publikationen.bibliothek.kit.edu/1000168974/152359850
https://doi.org/10.5445/IR/1000168974

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 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

A review of temporal and spatial dispersions of linear and quadratic finite elements in linear elastic wave propagation problems

Autoři: Kolman, R. (Radek) Okrouhlík, M. (Miloslav) Kruisová, A. (Alena)

Zdroj: Proceedings of the Estonian Academy of Sciences, Vol 73, Iss 3, Pp 279-316 (2024)

Témata: Finite element methods applied to problems in solid mechanics, Linear elasticity with initial stresses, Science, elastic wave propagation, finite element method, direct time integration, spurious oscillations, Finite difference methods applied to problems in solid mechanics, Error bounds for initial value and initial-boundary value problems involving PDEs, Vibrations in dynamical problems in solid mechanics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Strings, dispersion, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Linear waves in solid mechanics, PDEs in connection with mechanics of deformable solids, Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids

Popis souboru: application/xml

Přístupová URL adresa: https://hdl.handle.net/11104/0358061

A parameter uniform numerical method on a Bakhvalov type mesh for singularly perturbed degenerate parabolic convection–diffusion problems: A parameter uniform numerical method on a Bakhvalov type mesh for singularly perturbed degenerate parabolic convection-diffusion problems

Autoři: Shashikant Kumar Sunil Kumar Higinio Ramos a další

Zdroj: GREDOS. Repositorio Institucional de la Universidad de Salamanca
Universidad de Salamanca (USAL)

Témata: 12 Matemáticas, uniform convergence, 01 natural sciences, Bakhvalov mesh, Error bounds for initial value and initial-boundary value problems involving PDEs, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, upwind scheme, Upwind scheme, Finite difference methods for initial value and initial-boundary value problems involving PDEs, degenerate parabolic problem, Degenerate parabolic problem, Uniform convergence, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Singular perturbation, singular perturbation

Popis souboru: application/xml

Přístupová URL adresa: http://hdl.handle.net/10366/166738

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

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

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

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

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

The modelling error in multi-dimensional time-dependent solute transport models

Autoři: Masri, Rami Zeinhofer, Marius Kuchta, Miroslav a další

Zdroj: arXiv

Témata: Physiological flow, 0301 basic medicine, Smoothness and regularity of solutions to PDEs, Flows in porous media, filtration, seepage, Numerical Analysis (math.NA), PDEs in connection with fluid mechanics, Physiological flows, A priori estimates in context of PDEs, modeling error in evolving Bochner spaces, Diffusion, solute transport models, Second-order elliptic equations, 03 medical and health sciences, Error bounds for initial value and initial-boundary value problems involving PDEs, Mathematics - Analysis of PDEs, 0302 clinical medicine, 35K45, 65G99, 65J08, 65M15, 92-10, FOS: Mathematics, time dependent convection-diffusion, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, multi-dimensional modeling, Mathematics - Numerical Analysis, Computational methods for problems pertaining to biology, Finite element methods applied to problems in fluid mechanics, Analysis of PDEs (math.AP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2303.17999
https://zbmath.org/7957223
https://doi.org/10.1051/m2an/2024060