Results 21 to 30 of about 81 (75)
Convergence Of Spectral Methods For Nonlinear Conservation Laws
, 1989 . We discuss the convergence of Fourier method for scalar nonlinear conservation laws which exhibit spontaneous shock discontinuities. Numerical tests indicate that the convergence may (and in fact in some cases we prove it must) fail, with or without ...
Eitan Tadmor, Tadmor, Eitan
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Two a Posteriori Error Estimates for One-Dimensional Scalar Conservation Laws
, 2007 In this paper, we propose a-posteriori local error estimates for numerical schemes in the context of one dimensional scalar conservation laws. The main tool to derive them is a synthetic version of Kruzkov's estimates recently introduced by Bouchut ...
Charalambos Makridakis, Laurent Gosse
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FIRST-ORDER SYSTEM LEAST-SQUARES FOR DARCY-STOKES FLOW
, 2008 . The subject of this paper is a first-order system least-squares formulation for the Stokes equation which remains uniformly valid in the limit of vanishing viscosity.
Gerhard Starke, Garvin Danisch
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, 1994 . Two discrete-time orthogonal spline collocation schemes are formulated and analyzed for solving the linear time-dependent Schrodinger equation in two space variables. These are CrankNicolson and alternating direction implicit (ADI) schemes employing C
Graeme Fairweather +2 more
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Inertial Manifolds Under Multistep Discretization
, 1998 . Finite-dimensional inertial manifolds attract solutions to a nonlinear parabolic differential equation at an exponential rate. In this paper inertial manifolds for multistep discretizations of such equations are studied.
Jos L. M. Van Dorsselaer
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Discontinuous Galerkin isogeometric analysis for segmentations generating overlapping regions. [PDF]
Appl Anal, 2021 Hofer C, Toulopoulos I.
europepmc +1 more source
Legendre Pseudospectral Viscosity Method For Nonlinear Conservation Laws
, 1993 . In this paper we study the Legendre Spectral Viscosity (SV) method for the approximate solution of initialboundary value problems associated with nonlinear conservation laws.
Eitan Tadmor +5 more
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Finite Difference Schemes For Scalar Conservation Laws With Source Terms
, 1996 . Explicit and semi--implicit finite difference schemes approximating nonhomogenous scalar conservation laws are analyzed. Optimal error bounds independent of the stiffness of the underlying equation are presented. Key words. Hyperbolic conservation law,
Ragnar Winther +3 more
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Version of Mixed Finite Element Methods for Parabolic Problems
, 1993 . We investigate a parabolic problem from the point of view of stability and approximation properties of increasing order mixed (in space) finite element methods. Previous estimates for the RaviartThomas projection are proven to be sharp.
Sonia M. F. Garcia +1 more
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, 2017 A Crank-Nicolson-type difference scheme is presented for the spatial variable coefficient subdiffusion equation with Riemann-Liouville fractional derivative. The truncation errors in temporal and spatial directions are analyzed rigorously.
Pu, Hai, Zhang, Pu
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