Výsledky vyhledávání - finite difference methods for initial value AND initial-boundary value problems involving des*

Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems

Autoři: Desong Kong Jie Shen Li-Lian Wang a další

Zdroj: Advances in Computational Mathematics. 50

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Asymptotic distributions of eigenvalues in context of PDEs, eigenvalue distributions, spectral method in time, QZ decomposition, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, matrix diagonalisation, 01 natural sciences, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), KdV equations (Korteweg-de Vries equations), Bessel and generalised Bessel polynomials, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, 65M70, 65L15, 65F15, 33C45, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Mathematics - Numerical Analysis, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Legendre dual Petrov-Galerkin methods

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2211.10599
https://zbmath.org/7932062
https://doi.org/10.1007/s10444-024-10190-z

Implicit integration factor method coupled with Padé approximation strategy for nonlocal Allen-Cahn equation

Autoři: Yuxin Zhang Hengfei Ding

Zdroj: Applied Numerical Mathematics. 213:88-107

Témata: energy stability, implicit integration factor method, Smoothness and regularity of solutions to PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, discrete maximum principle, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Riesz derivative

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2502.02089
https://zbmath.org/8034919
https://doi.org/10.1016/j.apnum.2025.02.019

Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions: Spatial-temporal adaptive-order positivity-preserving WENO finite difference scheme with relaxed CFL condition for Euler equations with extreme conditions

Autoři: Li, Jia-Le Don, Wai-Sun Wang, Cai-Feng a další

Zdroj: Advances in Applied Mathematics and Mechanics. 17:804-839

Témata: relaxed CFL condition, WENO, Hyperbolic equations on manifolds, Hyperbolic conservation laws, Finite difference methods for initial value and initial-boundary value problems involving PDEs, positivity-preserving, adaptive-CFL and adaptive-order method, extreme problems

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8033903
https://doi.org/10.4208/aamm.oa-2023-0306

An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow: An energy-stable parametric finite element method for the planar Willmore flow

Autoři: Weizhu Bao Yifei Li

Zdroj: SIAM Journal on Numerical Analysis. 63:103-121

Témata: geometric identity, parametric finite element method, Finite difference methods for initial value and initial-boundary value problems involving PDEs, energy-stable, Nonlinear parabolic equations, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Global surface theory (convex surfaces à la A. D. Aleksandrov), Willmore flow

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2401.13274

Stable and high-order accurate finite difference methods for the diffusive viscous wave equation

Autoři: Siyang Wang

Zdroj: Journal of Computational and Applied Mathematics. 463:116476

Témata: Error estimate, acoustic wave, Beräkningsmatematik, Bulk waves in solid mechanics, seismic wave, error estimate, Numerical Analysis (math.NA), Finite difference methods applied to problems in solid mechanics, Computational Mathematics, numerical stability, Finite difference methods, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Summation by parts, summation-by-parts method, Mathematics - Numerical Analysis, discrete energy estimate, The diffusive viscous wave equation, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Stability, 65M06, 65M12

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2501.05771
https://zbmath.org/8008549
https://doi.org/10.1016/j.cam.2024.116476
http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-234147

A Robust and higher order numerical technique for a time-fractional equation with nonlocal condition: A robust and higher order numerical technique for a time-fractional equation with nonlocal condition

Autoři: Taneja, Komal Deswal, Komal Kumar, Devendra a další

Zdroj: Journal of Mathematical Chemistry. 63:626-649

Témata: Finite difference methods for boundary value problems involving PDEs, matrix stability, Caputo's derivative, Fractional derivatives and integrals, nonlocal condition, Finite difference 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, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Direct numerical methods for linear systems and matrix inversion, Fractional partial differential equations, time-fractional reaction-advection-diffusion equation, modified Gauss elimination

Popis souboru: application/xml

Step-by-step time discrete Physics-Informed Neural Networks with application to a sustainability PDE model: Step-by-step time discrete physics-informed neural networks with application to a sustainability PDE model

Autoři: Valentino C. Pagano G. Conte D. a další

Zdroj: Mathematics and Computers in Simulation. 230:541-558

Témata: Scientific machine learning, deep artificial neural networks, scientific machine learning, Stiff problems, Nonlinear sustainability PDE model, Implicit Euler and Crank–Nicolson methods, Deep artificial neural networks, Time discrete PINNs, Dye-sensitized solar cells, Numerical methods for initial value problems involving ordinary differential equations, nonlinear sustainability PDE model, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, time discrete PINNs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, implicit Euler and Crank-Nicolson methods, Numerical investigation of stability of solutions to ordinary differential equations, dye-sensitized solar cells, stiff problems, Artificial neural networks and deep learning

Popis souboru: application/xml

Přístupová URL adresa: https://hdl.handle.net/11588/995692
https://www.sciencedirect.com/science/article/pii/S0378475424004403

Hybrid Approach to Modeling and Evaluating the Structural Features for Patterns of Cultured Bacteria: Hybrid approach to modeling and evaluation of the structural features for patterns of cultured bacteria

Autoři: Shevkun, I. A. Maslovskaya, A. G.

Zdroj: Mathematical Models and Computer Simulations. 17:153-161

Témata: fractal dimension, reaction-diffusion model, Reaction-diffusion equations, computational experiment, Finite difference methods for initial value and initial-boundary value problems involving PDEs, stochastic growth mechanism, Developmental biology, pattern formation, pattern, Microbiology, bacterial cultivation, dendrite

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8018448
https://doi.org/10.20948/mm-2024-06-04

A Two-Level Crank-Nicolson Difference Scheme and Its Richardson Extrapolation Methods for a Magneto-Thermo-Elasticity Model: A two-level Crank-Nicolson difference scheme and its Richardson extrapolation methods for a magneto-thermo-elasticity model

Autoři: Deng, Dingwen Zhang, Ruyu

Zdroj: Advances in Applied Mathematics and Mechanics. 16:608-635

Témata: Finite difference methods for boundary value problems involving PDEs, energy conservation, Iterative numerical methods for linear systems, Extrapolation to the limit, deferred corrections, convergence, Richardson extrapolation methods, priori estimation, Symbolic computation and algebraic computation, Finite difference methods applied to problems in solid mechanics, Thermal effects in solid mechanics, Electromagnetic effects in solid mechanics, Classical linear elasticity, Finite difference 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, finite difference method, solvability

Popis souboru: application/xml

An Improved WENO-Z+ Scheme: An improved WENO-Z+ scheme

Autoři: Li, Ruo Zhong, Wei

Zdroj: Advances in Applied Mathematics and Mechanics. 17:31-68

Témata: WENO scheme, high resolution, Finite difference methods for initial value and initial-boundary value problems involving PDEs, over-amplification, hyperbolic problems, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

Popis souboru: application/xml

Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws: Approximating numerical fluxes using Fourier neural operators for hyperbolic conservation laws

Autoři: Kim, Taeyoung Kang, Myungjoo

Zdroj: Communications in Computational Physics. 37:420-456

Témata: FOS: Computer and information sciences, Computer Science - Machine Learning, scientific machine learning, numerical analysis, Numerical Analysis (math.NA), PDE, neural operator, Machine Learning (cs.LG), Finite volume methods for initial value and initial-boundary value problems involving PDEs, Hyperbolic conservation laws, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, FNO, Mathematics - Numerical Analysis, conservation laws, Artificial neural networks and deep learning

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2401.01783
https://zbmath.org/8033882
https://doi.org/10.4208/cicp.oa-2024-0123

Entropy Stable Finite Difference Schemes for Chew, Goldberger and Low Anisotropic Plasma Flow Equations: Entropy stable finite difference schemes for Chew, Goldberger and Low anisotropic plasma flow equations

Autoři: Chetan Singh Anshu Yadav Deepak Bhoriya a další

Zdroj: Journal of Scientific Computing. 102

Témata: Method of lines for initial value and initial-boundary value problems involving PDEs, symmetrization, entropy stability, Numerical Analysis (math.NA), PDEs in connection with fluid mechanics, Shock waves and blast waves in fluid mechanics, Finite difference methods applied to problems in fluid mechanics, 65M06, 65M12, 65M20, 76P99 and 76W05, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Ionized gas flow in electromagnetic fields, plasmic flow, FOS: Mathematics, Magnetohydrodynamics and electrohydrodynamics, Mathematics - Numerical Analysis, higher-order finite difference schemes, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Weak solutions to PDEs, CGL equations

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2406.04783
https://zbmath.org/7975324
https://doi.org/10.1007/s10915-024-02763-3

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

A Hybrid Collocation Method for Long‐Time Simulation of Heat Conduction in Anisotropic Functionally Graded Materials: A hybrid collocation method for long-time simulation of heat conduction in anisotropic functionally graded materials

Autoři: Lin Qiu Fajie Wang Wenzhen Qu a další

Zdroj: International Journal for Numerical Methods in Engineering. 126

Témata: Iterative numerical methods for linear systems, anisotropic heat conduction, Numerical radial basis function approximation, Numerical computation of solutions to systems of equations, Diffusive and convective heat and mass transfer, heat flow, radial basis function collocation method, Finite difference methods applied to problems in solid mechanics, Computational methods for sparse matrices, Thermal effects in solid mechanics, Krylov deferred correction technique, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related methods for boundary value problems involving PDEs, long-time simulation, PDEs in connection with mechanics of deformable solids, functionally graded materials, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7991422
https://doi.org/10.1002/nme.70002

An Energy Stable Well‐Balanced Scheme for the Barotropic Euler System With Gravity Under the Anelastic Scaling: An energy stable well-balanced scheme for the barotropic Euler system with gravity under the anelastic scaling

Autoři: K. R. Arun Mainak Kar

Zdroj: Numerical Methods for Partial Differential Equations. 41

Témata: energy stability, Finite volume methods for boundary value problems involving PDEs, Asymptotic behavior of solutions to PDEs, MAC grid, Euler equations with gravity, finite volume method, Numerical Analysis (math.NA), Nonlinear elliptic equations, asymptotic preserving, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, Euler equations, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, A priori estimates in context of PDEs, Finite difference methods applied to problems in fluid mechanics, Integro-partial differential equations, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, anelastic limit, FOS: Mathematics, Primary 35L50, 35L60, 35L65, 35L67, Secondary 65M08, 65M12, Mathematics - Numerical Analysis, Weak solutions to PDEs, well-balanced, Finite element methods applied to problems in fluid mechanics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2405.00559

A novel local Hermite radial basis function‐based differential quadrature method for solving two‐dimensional variable‐order time fractional advection–diffusion equation with Neumann boundary conditions: A novel local Hermite radial basis function-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation with Neumann boundary conditions

Autoři: Jianming Liu Xin Kai Li Xiuling Hu

Zdroj: Numerical Methods for Partial Differential Equations. 39:2998-3019

Témata: variable-order time fractional, Neumann boundary condition, Hermite RBF-DQ, meshfree method, Numerical radial basis function approximation, Fractional partial differential equations, 01 natural sciences, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Numerical differentiation, Fractional derivatives and integrals, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, Spectral, collocation and related methods for boundary value problems involving PDEs, 0101 mathematics, differential quadrature method, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Popis souboru: application/xml

MFEM: A modular finite element methods library: MFEM: a modular finite element methods library

Autoři: Robert Anderson Julian Andrej Andrew Barker a další

Přispěvatelé: Robert Anderson Julian Andrej Andrew Barker a další

Zdroj: Computers & Mathematics with Applications. 81:42-74

Témata: Finite element methods, FOS: Computer and information sciences, Multigrid methods, domain decomposition for boundary value problems involving PDEs, Finite element methods applied to problems in solid mechanics, 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, 01 natural sciences, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, High-order methods, Numerical algorithms for specific classes of architectures, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, FOS: Mathematics, finite element methods, numerical PDEs, Mathematics - Numerical Analysis, 0101 mathematics, High-performance computing, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Open-source scientific software, matrix-free algorithms, high-performance computing, Parallel numerical computation, Numerical Analysis (math.NA), Software, source code, etc. for problems pertaining to numerical analysis, Matrix-free algorithms, high-order methods, Computer Science - Mathematical Software, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, open-source scientific software, Numerical PDEs, Mathematical Software (cs.MS), Finite element methods applied to problems in fluid mechanics

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://www.sciencedirect.com/science/article/am/pii/S0898122120302583
http://arxiv.org/abs/1911.09220
https://zbmath.org/7288706
https://doi.org/10.1016/j.camwa.2020.06.009
https://ui.adsabs.harvard.edu/abs/2019arXiv191109220A/abstract
https://repository.tudelft.nl/islandora/object/uuid%3A553103d4-1337-44a3-9638-47ff85dbd5d1
http://export.arxiv.org/pdf/1911.09220
http://doi.org/10.1016/j.camwa.2020.06.009
https://dblp.uni-trier.de/db/journals/corr/corr1911.html#abs-1911-09220
https://arxiv.org/abs/1911.09220
http://resolver.tudelft.nl/uuid:553103d4-1337-44a3-9638-47ff85dbd5d1

A semi-implicit monotone difference scheme for an initial-boundary value problem of a strongly degenerate parabolic equation modeling sedimentation-consolidation processes

Autoři: Burger, R Coronel, I Sepulveda, M

Zdroj: MATHEMATICS OF COMPUTATION
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Conicyt_qa
ANID
instacron:ANID
Articulos_ANID
Agencia Nacional de Investigación y Desarrollo

Témata: Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, Suspensions, Finite difference methods for initial value and initial-boundary value problems involving PDEs, entropy solution, upwind difference scheme, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Degenerate parabolic equations, Theoretical approximation in context of PDEs, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/mcom/2006-75-253/S0025-5718-05-01787-4/S0025-5718-05-01787-4.pdf
https://zbmath.org/2237933
https://doi.org/10.1090/s0025-5718-05-01787-4
https://dblp.uni-trier.de/db/journals/moc/moc75.html#BurgerCS06
https://www.ams.org/journals/mcom/2006-75-253/S0025-5718-05-01787-4/
http://ui.adsabs.harvard.edu/abs/2006MaCom..75...91B/abstract
https://www.ams.org/mcom/2006-75-253/S0025-5718-05-01787-4/S0025-5718-05-01787-4.pdf
http://hdl.handle.net/10533/176882
http://hdl.handle.net/10533/176883
https://repositorio-qa.anid.cl/handle/10533/176882
https://repositorio-qa.anid.cl/handle/10533/176883
https://hdl.handle.net/10533/176883
https://hdl.handle.net/10533/176882

The High Order Augmented Finite Volume Methods Based on Series Expansion for Nonlinear Degenerate Parabolic Equations: The high order augmented finite volume methods based on series expansion for nonlinear degenerate parabolic equations

Autoři: Yetong Li Tengjin Zhao Zhiyue Zhang a další

Zdroj: Journal of Scientific Computing. 88

Témata: Asymptotic approximations, asymptotic expansions (steepest descent, etc.), Finite volume methods for boundary value problems involving PDEs, improved augmented methods, finite volume method, high order, Degenerate parabolic equations, Symbolic computation and algebraic computation, 01 natural sciences, nonlinear degenerate parabolic equations, Finite volume methods for initial value and initial-boundary value problems involving PDEs, multi-augmented variables, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Puiseux series expansion, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7359306
https://doi.org/10.1007/s10915-021-01519-7
https://dblp.uni-trier.de/db/journals/jscic/jscic88.html#LiZZW21
https://link.springer.com/article/10.1007/s10915-021-01519-7

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

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

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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