Results 1 to 10 of about 1,263,759 (171)
Trefftz difference schemes on irregular stencils [PDF]
Journal of Computational Physics, 2010 28 pages, 12 figures; to be published in J Comp ...
Al Shenk +50 more
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Generalized finite-difference schemes [PDF]
Mathematics of Computation, 1969 Finite-difference schemes for initial boundary-value problems for partial differential equations lead to systems of equations which must be solved at each time step. Other methods also lead to systems of equations. We call a method a generalized finite-difference scheme if the matrix of coefficients of the system is sparse.
Swartz, B., Wendroff, B.
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Recursive finite-difference Lattice Boltzmann schemes [PDF]
Computers & Mathematics with Applications, 2021 The motivation of this study is twofold. First, a recursive mathematical formulation of the discrete-velocity Boltzmann equation (DVBE) under the Bhatnagar-Gross-Krook (BGK) approximation is introduced. This formulation allows us to formally express the solution of the DVBE as an infinite sum over successive particle derivatives of the distributions ...
Vienne, Lucien, Lévêque, Emmanuel
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Homogeneous Difference Schemes [PDF]
USSR Computational Mathematics and Mathematical Physics, 2001 Abstract Homogeneous difference schemes, suitable for transforming differential equations whose coefficients belong to certain classes of function into difference equations, are defined and discussed. The main points which arise are, first, whether the solution of the resulting difference equation converges to that of the original differential ...
Tikhonov, A. N., Samarskiĭ, A. A.
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Crewther's Relation in Different Schemes
Proceedings of 16th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology — PoS(RADCOR2023), 2023 We examine Crewther's relation at high loop order in perturbative QCD and demonstrate how the relation is accommodated in gauge-parameter dependent schemes where the running of the gauge parameter has to be explicitly considered. Motivated by ensuring that the conformal properties of the relation are preserved at all the critical points of QCD ...
Mason, R. H., Gracey, J. A.
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High-order Compact Difference Schemes for the Modified Anomalous Subdiffusion Equation [PDF]
, 2015 In this paper, two kinds of high-order compact finite difference schemes for second-order derivative are developed. Then a second-order numerical scheme for Riemann-Liouvile derivative is established based on fractional center difference operator.
Ding, Hengfei, Li, Changpin
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Boundedness of dispersive difference schemes [PDF]
Mathematics of Computation, 1990 The pointwise behavior of dispersive difference schemes for the simple wave equation in one dimension is analyzed. If the initial data are in certain Besov spaces, the scheme is shown to be pointwise unbounded. Boundedness is shown when the initial data are of bounded variation.
Estep, Donald +2 more
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Higher order finite difference schemes for the magnetic induction equations [PDF]
, 2010 We describe high order accurate and stable finite difference schemes for the initial-boundary value problem associated with the magnetic induction equations. These equations model the evolution of a magnetic field due to a given velocity field.
B. Gustafsson +22 more
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Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations [PDF]
, 2006 We obtain non-symmetric upper and lower bounds on the rate of convergence of general monotone approximation/numerical schemes for parabolic Hamilton Jacobi Bellman Equations by introducing a new notion of consistency.
Barles, Guy, Jakobsen, Espen R.
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Well-balanced finite difference WENO schemes for the blood flow model [PDF]
, 2016 The blood flow model maintains the steady state solutions, in which the flux gradients are non-zero but exactly balanced by the source term. In this paper, we design high order finite difference weighted non-oscillatory (WENO) schemes to this model with ...
Delestre, Olivier +2 more
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