Search Results - method of lines for initial value and initial-boundary value problems involving des

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)

Authors: Varnhorn, Werner

Subject Terms: 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

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Access URL: https://zbmath.org/28285

Towards a method for solving partial differential equations by using wavelet packet bases

Authors: Joly, Pascal Maday, Yvon Perrier, Valérie et al.

Contributors: Joly, Pascal Maday, Yvon Perrier, Valérie et al.

Source: Computer Methods in Applied Mechanics and Engineering. 116:301-307

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, adaptive method, [SPI] Engineering Sciences [physics], 02 engineering and technology, 01 natural sciences, [SPI]Engineering Sciences [physics], Error bounds for initial value and initial-boundary value problems involving PDEs, wavelet packet, Nonlinear parabolic equations, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, minimal basis, multistep scheme, 0210 nano-technology, data compression, time discretization, 0105 earth and related environmental sciences

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Access URL: https://hal.archives-ouvertes.fr/hal-01321537/file/JMP.pdf
https://zbmath.org/764286
https://doi.org/10.1016/s0045-7825(94)80036-7
https://www.sciencedirect.com/science/article/pii/S0045782594800367
https://ui.adsabs.harvard.edu/abs/1994CMAME.116..301J/abstract
https://hal.science/hal-01321537v1
https://doi.org/10.1016/s0045-7825(94)80036-7
https://hal.science/hal-01321537v1/document

A posteriori error estimation techniques for non-linear elliptic and parabolic pdes: A posteriori error estimation techniques for nonlinear elliptic and parabolic PDE's

Authors: Rüdiger Verfürth

Source: Revue Européenne des Éléments Finis. 9:377-402

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, a posteriori error estimates, Error bounds for boundary value problems involving PDEs, discontinuous Galerkin method, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, Runge-Kutta time discretization, nonlinear elliptic and parabolic problems, Error bounds for initial value and initial-boundary value problems involving PDEs, finite element, Nonlinear boundary value problems for linear elliptic equations, Nonlinear parabolic equations, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0101 mathematics

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Access URL: https://zbmath.org/1442165
https://www.tandfonline.com/doi/abs/10.1080/12506559.2000.10511453

Interior estimates for time discretizations of parabolic equations

Authors: Alexander Ostermann Christian Lubich

Source: Applied Numerical Mathematics. 18:241-251

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Runge-Kutta methods, convergence, method of times, order reduction, 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, time discretizations

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Access URL: https://www.sciencedirect.com/science/article/pii/016892749500056Z

Approximation des equations d'evolution du premier ordre ent par des schemas a un degre de liberte: Approximation des équations d'évolution du premier ordre en t par des schemas à un degré de liberte

Authors: F. di Guglielmo

Source: CALCOLO. 9:1-58

Subject Terms: Parabolic equations and parabolic systems, Method of lines for initial value and initial-boundary value problems involving PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, 01 natural sciences

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Access URL: https://link.springer.com/content/pdf/10.1007/BF02575547.pdf
https://link.springer.com/article/10.1007/BF02575547

Adaptive Linear Equation Solvers in Codes for Large Stiff Systems of ODEs: Adaptive linear equation solvers in codes for large stiff systems of ODEs

Authors: Kenneth R. Jackson W. L. Seward

Source: SIAM Journal on Scientific Computing. 14:800-823

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, Iterative numerical methods for linear systems, type intensive ordinary differential equation code, preconditioning, stiff systems, iterative linear solver, Multiple scale methods for ordinary differential equations, Nonlinear ordinary differential equations and systems, adaptive strategy, 0101 mathematics, Numerical methods for initial value problems involving ordinary differential equations, adaptive linear equation solvers, 01 natural sciences

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Access URL: https://cs.uwaterloo.ca/research/tr/1991/33/krjdoc.pdf
https://dblp.uni-trier.de/db/journals/siamsc/siamsc14.html#JacksonS93
https://epubs.siam.org/doi/abs/10.1137/0914051
https://core.ac.uk/display/100568808

Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques: Conservation de la positivite lors de la discretisation des problèmes d'évolution paraboliques

Authors: Catherine Bolley Michel Crouzeix

Source: RAIRO. Analyse numérique. 12:237-245

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, Heat Equation, Heat equation, Method of Lines, 0101 mathematics, 01 natural sciences

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Access URL: https://www.esaim-m2an.org/articles/m2an/pdf/1978/03/m2an1978120302371.pdf
https://www.esaim-m2an.org/articles/m2an/abs/1978/03/m2an1978120302371/m2an1978120302371.html
https://www.esaim-m2an.org/articles/m2an/pdf/1978/03/m2an1978120302371.pdf
https://eudml.org/doc/193321
http://www.esaim-m2an.org/articles/m2an/abs/1978/03/m2an1978120302371/m2an1978120302371.html

Application of predictor-corrector schemes with several correctors in solving air pollution problems

Authors: Zahari Zlatev

Source: BIT. 24:700-715

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, predictor-corrector schemes, air pollution, Other natural sciences (mathematical treatment), variable stepsize variable formula methods, Nonlinear ordinary differential equations and systems, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, splitting-up techniques, 13. Climate action, 11. Sustainability, systems, pseudospectral discretization, Initial value problems for first-order hyperbolic systems, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations

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Access URL: https://zbmath.org/3907681
https://doi.org/10.1007/bf01934925
https://link.springer.com/article/10.1007/BF01934925

Über die Konvergenz des Schemas von Rothe für einige nichtlineare Evolutionsgleichungen

Authors: Juhno, L. F.

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, Finite difference methods for boundary value problems involving PDEs, Numerical methods for partial differential equations, boundary value problems, Stability and convergence of numerical methods for boundary value problems involving PDEs, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems

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Access URL: https://zbmath.org/3538761

Zur Theorie der Näherungslösung des Randwertproblems für eine Klasse von Differentialgleichungen dritter Ordnung

Authors: Amiraliev, G. M.

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, Wave scattering in solid mechanics, 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, Wave equation, Spectral theory and eigenvalue problems for partial differential equations, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

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Access URL: https://zbmath.org/3485137

Die Lösung des Anfangs-Randwertproblems für die Wärmeleitungsgleichung im \(\mathbb{R}^3\) mit einer Integralgleichungsmethode nach dem Rotheverfahren

Authors: Gerdes, W.

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, Heat equation, Stability and convergence of numerical methods for boundary value problems involving PDEs

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Access URL: https://zbmath.org/3602621

Die Methode der ''Geraden'' für instationäre Probleme und Abschätzungen des mittleren quadratischen Fehlers

Authors: Krylov, V. I. Liskovec, O. A.

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs

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Access URL: https://zbmath.org/3400406

Abschätzungen einer Näherungslösung des Cauchyproblems und die Geradenmethode

Authors: Yakovlev, M. N.

Subject Terms: Parabolic equations and parabolic systems, Method of lines for initial value and initial-boundary value problems involving PDEs, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Theoretical approximation of solutions to ordinary differential equations

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Access URL: https://zbmath.org/3414716

Adaptive Nyström-Runge-Kutta-Methoden für gewöhnliche Differentialgleichungssysteme zweiter Ordnung

Authors: Karl Strehmel Rüdiger Weiner

Source: Computing. 30:35-47

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, linear implicit methods, local linearization, infinite interval of stability, large systems, stability matrix, Initial value problems for second-order hyperbolic equations, 0101 mathematics, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations, generalized Nyström-methods, 01 natural sciences

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Access URL: https://zbmath.org/3786075
https://doi.org/10.1007/bf02253294
https://link.springer.com/article/10.1007/BF02253294
https://dblp.uni-trier.de/db/journals/computing/computing30.html#StrehmelW83
https://link.springer.com/content/pdf/10.1007/BF02253294.pdf

A COMPLETE ANALYSIS FOR SOME A POSTERIORI ERROR ESTIMATES WITH THE FINITE ELEMENT METHOD OF LINES FOR A NONLINEAR PARABOLIC EQUATION.

Authors: Tran, Thanh Duong, Thanh-Binh

Source: Numerical Functional Analysis & Optimization; Nov2002, Vol. 23 Issue 7/8, p891-909, 19p

Subject Terms: ERROR analysis in mathematics, FINITE element method, EQUATIONS, BOUNDARY value problems

Error indicators for the heat equation

Authors: Bernardi, Christine Métivet, Brigitte

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, error indicators, Error bounds for initial value and initial-boundary value problems involving PDEs, heat equation, Heat equation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, implicit Euler method in time, semidiscretization, parabolic equations, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, error bounds, stability, finite element method in space

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Access URL: https://zbmath.org/1442167

Numerical solution of parabolic and hyperbolic differential equations using the finite element method

Authors: Filippi, Siegfried Clemens, Detlef Wehner, Andreas

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, software package, implicit difference method of Newmark, implicit backward Euler, hyperbolic problems, numerical results, central differences, ADINA, finite element, Lagrange elements, Packaged methods for numerical algorithms, Nonlinear parabolic equations, tests, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, parabolic problems, Second-order nonlinear hyperbolic equations, time discretization

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Access URL: https://zbmath.org/847452

Convergence of renormalized particle methods for Friedrichs systems

Authors: Lanson, Nathalie Vila, Jean-Paul

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, convergence, consistency, Hyperbolic conservation laws, Friedrichs systems, Finite difference methods for initial value and initial-boundary value problems involving PDEs, explicit Euler time discretization, smoothed particle hydrodynamics methods, conservation laws, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, renormalized particle scheme, renormalization, numerical viscosity

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Access URL: https://zbmath.org/2167784

Méthodes de relaxation d'ondes (SWR) pour l'équation de la chaleur en dimension 1. (Optimized Schwarz waveform relaxation (SWR) for the one-dimensional heat equation)

Authors: Gander, Martin J. Halpern, Laurence

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, domain decomposition, convergence, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, heat equation, Heat equation, semidiscretization, Schwarz waveform relaxation algorithms, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

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Access URL: https://zbmath.org/1981284

La méthode des caractéristiques pour les problèmes de convection-diffusion stationnaires: La méthode des caractéristiques pour les problèmes de convection- diffusion stationnaires

Authors: J. Durany Alfredo Bermúdez

Source: ESAIM: Mathematical Modelling and Numerical Analysis. 21:7-26

Subject Terms: Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs, convergence, iterative algorithm, Method of lines for boundary value problems involving PDEs, Initial-boundary value problems for second-order parabolic equations, finite elements, steady-state convective-diffusive problems, error estimate, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 0101 mathematics, 01 natural sciences

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Access URL: https://www.esaim-m2an.org/articles/m2an/pdf/1987/01/m2an1987210100071.pdf
http://www.numdam.org/item/M2AN_1987__21_1_7_0.pdf
https://www.esaim-m2an.org/articles/m2an/pdf/1987/01/m2an1987210100071.pdf
https://www.esaim-m2an.org/articles/m2an/abs/1987/01/m2an1987210100071/m2an1987210100071.html
https://eudml.org/doc/193498
http://www.numdam.org/item/M2AN_1987__21_1_7_0/