Výsledky vyhľadávania - method of lines for initial value and initial-boundary value problems involving des*

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

Autori: Bangti Jin Qingle Lin Zhi Zhou

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

Predmety: 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 súboru: application/xml

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

A Semi-discrete Active Flux Method for the Euler Equations on Cartesian Grids: A semi-discrete active flux method for the Euler equations on Cartesian grids

Autori: Abgrall, Remi Barsukow, Wasilij Klingenberg, Christian a ďalší

Prispievatelia: Abgrall, Remi Barsukow, Wasilij Klingenberg, Christian a ďalší

Zdroj: Journal of Scientific Computing. 102

Predmety: Method of lines for initial value and initial-boundary value problems involving PDEs, Keywords Compressible Euler equations · Active flux · High, Finite volume methods for boundary value problems involving PDEs, Finite volume methods applied to problems in fluid mechanics, Numerical Analysis (math.NA), Euler equations, compressible Euler equations, 1712 Software, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, 10123 Institute of Mathematics, 510 Mathematics, 2604 Applied Mathematics, Finite volume methods for initial value and initial-boundary value problems involving PDEs, active flux, order methods Mathematics Subject Classification 65M08 · 65M20 · 65M70 · 76M12, high-order methods, 65M08, 65M20, 65M70, 76M12, 2200 General Engineering, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, FOS: Mathematics, Mathematics - Numerical Analysis, 2614 Theoretical Computer Science, 2612 Numerical Analysis, 2605 Computational Mathematics, 1703 Computational Theory and Mathematics

Popis súboru: application/xml; Abgrall2025_ASemiDiscreteActiveFluxMethod.pdf - application/pdf

Prístupová URL adresa: http://arxiv.org/abs/2310.00683
https://zbmath.org/7969181
https://doi.org/10.1007/s10915-024-02749-1

The second-order initial/boundary value problem: Supraconvergence of regridding methods: The second-order initial/boundary value problem: supraconvergence of regridding methods

Autori: José Augusto Ferreira

Zdroj: Applied Numerical Mathematics. 13:69-81

Predmety: Method of lines for initial value and initial-boundary value problems involving PDEs, convergence, supraconvergence, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, regridding methods, method of lines, linear parabolic initial-boundary value problem, Initial value problems for second-order parabolic equations, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/016892749390132B

Bound preserving Lax-Wendroff flux reconstruction method for special relativistic hydrodynamics

Autori: Sujoy Basak Arpit Babbar Harish Kumar a ďalší

Zdroj: Journal of Computational Physics. 527:113815

Predmety: Quantum hydrodynamics and relativistic hydrodynamics, Method of lines for initial value and initial-boundary value problems involving PDEs, Finite volume methods for initial value and initial-boundary value problems involving PDEs, admissibility preservation, FOS: Mathematics, G.1.8, Lax-Wendroff flux reconstruction, Finite volume methods applied to problems in fluid mechanics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), relativistic hydrodynamics, 65M60

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2409.15805

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

Autori: Chetan Singh Anshu Yadav Deepak Bhoriya a ďalší

Zdroj: Journal of Scientific Computing. 102

Predmety: 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 súboru: application/xml

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

Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems

Autori: M. P. Calvo C. Palencia

Zdroj: Mathematics of Computation. 71:1529-1544

Predmety: Method of lines for initial value and initial-boundary value problems involving PDEs, Abstract parabolic equations, numerical example, Linear differential equations in abstract spaces, Banach space, Numerical solutions to equations with linear operators, Runge-Kutta method, order reduction, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Numerical methods for initial value problems involving ordinary differential equations, abstract initial boundary value problems, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://www.ams.org/mcom/2002-71-240/S0025-5718-01-01362-X/S0025-5718-01-01362-X.pdf
https://zbmath.org/1802726
https://doi.org/10.1090/s0025-5718-01-01362-x
http://ui.adsabs.harvard.edu/abs/2002MaCom..71.1529C/abstract
https://www.ams.org/journals/mcom/2002-71-240/S0025-5718-01-01362-X/
https://doi.org/10.1090/S0025-5718-01-01362-X
https://dblp.uni-trier.de/db/journals/moc/moc71.html#CalvoP02
https://www.ams.org/mcom/2002-71-240/S0025-5718-01-01362-X/S0025-5718-01-01362-X.pdf

Extensions and investigations of space‐time generalized Riemann problems numerical schemes for linear systems of conservation laws with source terms: Extensions and investigations of space-time generalized Riemann problems numerical schemes for linear systems of conservation laws with source terms

Autori: Rodolphe Turpault

Zdroj: Numerical Methods for Partial Differential Equations. 40

Predmety: Method of lines for initial value and initial-boundary value problems involving PDEs, Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Error bounds for initial value and initial-boundary value problems involving PDEs, space-time generalized Riemann problems, Hyperbolic conservation laws, very high order numerical schemes, 0103 physical sciences, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, large time steps, linear hyperbolic systems of conservation laws with source terms, 01 natural sciences, First-order hyperbolic systems

Popis súboru: 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

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

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

Predmety: 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 súboru: application/xml

Prístupová 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

Remarks on a new particle method

Autori: Després, Bruno Remmerswaal, Ronald

Zdroj: Journal of Computational Physics. 523:113662

Predmety: Method of lines for initial value and initial-boundary value problems involving PDEs, Particle methods and lattice-gas methods, Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs, Finite volume methods applied to problems in fluid mechanics

Popis súboru: application/xml

The Correct Formulation of Intermediate Boundary Conditions for Runge--Kutta Time Integration of Initial Boundary Value Problems: The correct formulation of intermediate boundary conditions for Runge-Kutta time integration of initial boundary value problems

Autori: D. Pathria

Zdroj: SIAM Journal on Scientific Computing. 18:1255-1266

Predmety: Method of lines for initial value and initial-boundary value problems involving PDEs, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, initial-boundary value problems, Runge-Kutta methods, intermediate boundary conditions, Hyperbolic conservation laws, Nonlinear ordinary differential equations and systems, conservation laws, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1116423
https://doi.org/10.1137/s1064827594273948
https://epubs.siam.org/doi/abs/10.1137/S1064827594273948
https://dblp.uni-trier.de/db/journals/siamsc/siamsc18.html#Pathria97

Numerical Solution of a Rimming Flow Problem Using a Moving Mesh Method: Numerical solution of a rimming flow problem using a moving mesh method

Autori: Stephen O'Brien Alan F. Hegarty Stephen Sikwila

Zdroj: Computational Methods in Applied Mathematics. 3:373-386

Predmety: Method of lines for initial value and initial-boundary value problems involving PDEs, Asymptotic approximations, asymptotic expansions (steepest descent, etc.), Theoretical approximation in context of PDEs, 01 natural sciences, rimming flow, Shocks and singularities for hyperbolic equations, Lubrication theory, lubrication approximation, Hyperbolic conservation laws, 0103 physical sciences, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, moving mesh method, 0101 mathematics, Thin fluid films, finite difference method

Popis súboru: application/xml

Prístupová URL adresa: http://www.degruyter.com/view/j/cmam.2003.3.issue-3/cmam-2003-0024/cmam-2003-0024.xml?format=INT

Efficient Parallel Algorithms for Solving Initial-Boundary Value and Time-Periodic Parabolic Partial Differential Equations: Efficient parallel algorithms for solving initial-boundary value and time-periodic parabolic partial differential equations

Autori: Stefan Vandewalle Robert Piessens

Zdroj: SIAM Journal on Scientific and Statistical Computing. 13:1330-1346

Predmety: Method of lines for initial value and initial-boundary value problems involving PDEs, Almost and pseudo-almost periodic solutions to PDEs, parallelism, numerical examples, waveform relaxation, algorithm, parallel processing, time-periodic equations, parabolic equation, method of lines, Parallel numerical computation, time-periodic solutions, 01 natural sciences, timestepping method, vectorization, Initial value problems for second-order parabolic equations, 0101 mathematics, multigrid, performance

Popis súboru: application/xml

Prístupová URL adresa: https://epubs.siam.org/doi/abs/10.1137/0913075
https://core.ac.uk/display/34329333

Qualitative features of a nonlinear, nonlocal, agent-based PDE model with applications to homelessness

Autori: Lindstrom, Michael R Bertozzi, Andrea L

Zdroj: Mathematical Models and Methods in Applied Sciences, vol 30, iss 10

Predmety: Method of lines for initial value and initial-boundary value problems involving PDEs, Finite difference methods for boundary value problems involving PDEs, Agent-based model, Numerical and Computational Mathematics, Applied Mathematics, 1. No poverty, Homelessness, Computational methods for problems pertaining to game theory, economics, and finance, nonlocal PDE, agent-based model, Maximum principles in context of PDEs, PDEs in connection with game theory, economics, social and behavioral sciences, 13. Climate action, Models of societies, social and urban evolution, Heterogeneous agent models, Nonlinear parabolic equations, nonlinear diffusion, solution properties, Stability in context of PDEs, homelessness, Periodic solutions to PDEs

Popis súboru: application/xml; application/pdf

Prístupová URL adresa: https://www.worldscientific.com/doi/pdf/10.1142/S0218202520400114
https://escholarship.org/content/qt2jf0d2wf/qt2jf0d2wf.pdf?t=qhvs96
https://www.worldscientific.com/doi/abs/10.1142/S0218202520400114
https://escholarship.org/uc/item/2jf0d2wf
https://escholarship.org/uc/item/2jf0d2wf

ROS3P—An Accurate Third-Order Rosenbrock Solver Designed for Parabolic Problems: ROS3P -- An accurate third-order Rosenbrock solver designed for parabolic problems

Autori: Jan Verwer Jens Lang

Zdroj: BIT Numerical Mathematics. 41:731-738

Predmety: Method of lines for initial value and initial-boundary value problems involving PDEs, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, method of lines, nonlinear parabolic equations, Nonlinear parabolic equations, third-order methods, order reduction, Rosenbrock methods, comparison of methods

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1731135
https://doi.org/10.1023/a:1021900219772
http://www.mathematik.tu-darmstadt.de/fbereiche/numerik/staff/lang/archiv/BIT01-LangVerwer.pdf
https://www.narcis.nl/publication/RecordID/oai%3Acwi.nl%3A1102
https://link.springer.com/content/pdf/10.1023/A:1021900219772.pdf
https://link.springer.com/article/10.1023/A:1021900219772

A METHOD-OF-LINES FRAMEWORK FOR ENERGY STABLE ARBITRARY LAGRANGIAN--EULERIAN METHODS.

Autori: LUNDQUIST, TOMAS MALAN, ARNAUD G. NORDSTRÖM, JAN

Zdroj: SIAM Journal on Numerical Analysis; 2023, Vol. 61 Issue 5, p2327-2351, 25p

Predmety: EULERIAN graphs, TIME integration scheme, BOUNDARY value problems, INITIAL value problems

On one approach to a posteriori error estimates for evolution problems solved by the method of lines

Autori: Ivo Babuška Miloslav Feistauer Pavel źOlín

Zdroj: Numerische Mathematik. 89:225-256

Predmety: Method of lines for initial value and initial-boundary value problems involving PDEs, a posteriori error estimates, numerical examples, evolution equations, Heat equation, method of lines, Initial value problems for second-order hyperbolic equations, 01 natural sciences, second-order hyperbolic problem, Error bounds for initial value and initial-boundary value problems involving PDEs, nonlinear parabolic problem, finite elements, convection-diffusion problem, Initial value problems for second-order parabolic equations, 0101 mathematics

Popis súboru: application/xml

Prístupová URL adresa: https://link.springer.com/content/pdf/10.1007/PL00005467.pdf
https://link.springer.com/article/10.1007/PL00005467
https://dblp.uni-trier.de/db/journals/nm/nm89.html#BabuskaFS01
https://doi.org/10.1007/PL00005467

Zur Konstruktion einer numerischen Lösung des Anfangsrandwertproblems für die nichtlinearen Gleichungen von Navier-Stokes. (On the construction of a numerical solution of the initial-boundary value problem for nonlinear Navier-Stokes equations)

Autori: Varnhorn, Werner

Predmety: Method of lines for initial value and initial-boundary value problems involving PDEs, convergence, Rothe's method, Navier-Stokes equations for incompressible viscous fluids, boundary integral equations, Navier-Stokes equations, stability, nonlinear Navier-Stokes equations, boundary element method

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/28285

A new unified theory underlying time dependent linear first‐order systems: a prelude to algorithms by design: A new unified theory underlying time dependent linear first-order systems: a prelude to algorithms by design

Autori: Xiangmin Zhou Kumar K. Tamma

Zdroj: International Journal for Numerical Methods in Engineering. 60:1699-1740

Predmety: Finite difference and finite volume methods for ordinary differential equations, Method of lines for initial value and initial-boundary value problems involving PDEs, Padé methods, finite difference, Linear ordinary differential equations and systems, linear systems, method of lines, 0211 other engineering and technologies, 02 engineering and technology, stability, Numerical methods for initial value problems involving ordinary differential equations, 0203 mechanical engineering, first-order systems, Initial value problems for second-order parabolic equations, Stability and convergence of numerical methods for ordinary differential equations

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2126813
https://doi.org/10.1002/nme.1019
http://ui.adsabs.harvard.edu/abs/2004IJNME..60.1699Z/abstract
https://onlinelibrary.wiley.com/doi/10.1002/nme.1019
http://onlinelibrary.wiley.com/doi/10.1002/nme.1019/abstract
https://experts.umn.edu/en/publications/a-new-unified-theory-underlying-time-dependent-linear-first-order

The NUMOL solution of time-dependent PDEs using DESI Runge—Kutta formulae: The NUMOL solution of time-dependent PDEs using DESI Runge-Kutta formulae

Autori: M. T. Diamantakis

Zdroj: Applied Numerical Mathematics. 17:235-249

Predmety: Method of lines for initial value and initial-boundary value problems involving PDEs, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, implicit Runge-Kutta formulae, DESI code, method of lines, Initial value problems for second-order parabolic equations, 0101 mathematics, BDF code LSODE, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/803524
https://doi.org/10.1016/0168-9274(95)00031-o
https://www.sciencedirect.com/science/article/abs/pii/016892749500031O#!
https://www.sciencedirect.com/science/article/pii/016892749500031O

Description of the Multi-Dimensional Finite Volume Solver EULER: Description of the multi-dimensional finite volume solver EULER.

Autori: Pavel Solin Karel Segeth

Zdroj: Applications of Mathematics. 47:169-185

Predmety: Method of lines for initial value and initial-boundary value problems involving PDEs, approximate Riemann solver, method of lines, Gas dynamics (general theory), numerical flux, finite volume method, computational fluid dynamics, implicit adaptive time integration, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, quasi-1D, 01 natural sciences, Shocks and singularities for hyperbolic equations, compressible Euler equations, Hyperbolic conservation laws, unstructured grid, numerical software, 1D, 0101 mathematics, 2D, axisymmetric 3D, 3D

Popis súboru: application/xml

Prístupová URL adresa: http://dml.cz/bitstream/handle/10338.dmlcz/134493/AplMat_47-2002-2_8.pdf
https://zbmath.org/2185177
https://doi.org/10.1023/a:1021789203207
https://link.springer.com/article/10.1023/A%3A1021789203207
https://eudml.org/doc/33111
https://link.springer.com/content/pdf/10.1023/A:1021789203207.pdf