On the comparison of error bounds for finite difference schemes

B. B�ttgenbach; H. Esser; R. J. Nessel

doi:10.1007/bf01388700

On the comparison of error bounds for finite difference schemes

Numerische Mathematik ◽

10.1007/bf01388700 ◽

1993 ◽

Vol 64 (1) ◽

pp. 477-486

Author(s):

B. B�ttgenbach ◽

H. Esser ◽

R. J. Nessel

Keyword(s):

Finite Difference ◽

Error Bounds ◽

Difference Schemes ◽

Finite Difference Schemes

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On the Sharpness of Error Bounds for the Numerical Solution of Initial Boundary Value Problems by Finite Difference Schemes

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/678 ◽

1995 ◽

Vol 14 (2) ◽

pp. 347-367 ◽

Cited By ~ 1

Author(s):

H. Esser ◽

St. J. Goebbels ◽

R. J. Nessel

Keyword(s):

Finite Difference ◽

Numerical Solution ◽

Boundary Value Problems ◽

Error Bounds ◽

Boundary Value ◽

Initial Boundary ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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On the sharpness of error bounds in connection with finite difference schemes on uniform grids for boundary value problems of ordinary differential equations

Numerical Functional Analysis and Optimization ◽

10.1080/01630569108816429 ◽

1991 ◽

Vol 12 (3-4) ◽

pp. 285-298 ◽

Cited By ~ 7

Author(s):

B. Büttgenbach ◽

H. Esser ◽

R. J. Nessel

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Error Bounds ◽

Boundary Value ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Uniform Grids

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Error bounds of finite difference schemes for multi-dimensional scalar conservation laws with source terms

IMA Journal of Numerical Analysis ◽

10.1093/imanum/19.1.77 ◽

1999 ◽

Vol 19 (1) ◽

pp. 77-89 ◽

Cited By ~ 3

Author(s):

W Shen

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Error Bounds ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Source Terms ◽

Scalar Conservation Laws ◽

Scalar Conservation

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Entropically Damped Artificial Compressibility Solver Using Higher Order Finite Difference Schemes on Curvilinear and Deforming Meshes

AIAA Scitech 2021 Forum ◽

10.2514/6.2021-0634 ◽

2021 ◽

Author(s):

Shankar Achu ◽

Nagabhushana Rao Vadlamani

Keyword(s):

Finite Difference ◽

Higher Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Artificial Compressibility

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On conditions for L2-dissipativity of linearized explicit QGD-finite-difference schemes for the equations of one-dimensional gas dynamics

Доклады Академии наук ◽

10.31857/s086956520003084-5 ◽

2018 ◽

Vol 482 (4) ◽

pp. 375-380

Author(s):

A. Zolotnik ◽

T. Lomonosov

Keyword(s):

Finite Difference ◽

Gas Dynamics ◽

Difference Schemes ◽

Finite Difference Schemes ◽

One Dimensional

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Conservative finite difference schemes for the modified Camassa-Holm equation

JSIAM Letters ◽

10.14495/jsiaml.3.37 ◽

2011 ◽

Vol 3 (0) ◽

pp. 37-40 ◽

Cited By ~ 2

Author(s):

Yuto Miyatake ◽

Takayasu Matsuo ◽

Daisuke Furihata

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Holm Equation

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Energy-consistent finite difference schemes for compressible hydrodynamics and magnetohydrodynamics using nonlinear filtering

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110232 ◽

2021 ◽

pp. 110232

Author(s):

Haruhisa Iijima

Keyword(s):

Finite Difference ◽

Nonlinear Filtering ◽

Difference Schemes ◽

Finite Difference Schemes

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High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110136 ◽

2021 ◽

Vol 431 ◽

pp. 110136

Author(s):

Junming Duan ◽

Huazhong Tang

Keyword(s):

Finite Difference ◽

Shallow Water ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Entropy Stable ◽

Shallow Water Magnetohydrodynamics

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Finite difference schemes for the two-dimensional multi-term time-fractional diffusion equations with variable coefficients

Computational and Applied Mathematics ◽

10.1007/s40314-021-01551-1 ◽

2021 ◽

Vol 40 (5) ◽

Author(s):

Mingrong Cui

Keyword(s):

Finite Difference ◽

Fractional Diffusion ◽

Variable Coefficients ◽

Difference Schemes ◽

Diffusion Equations ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Fractional Diffusion Equations

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Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations

The Journal of Difference Equations and Applications ◽

10.1080/10236190412331334527 ◽

2005 ◽

Vol 11 (7) ◽

pp. 645-653 ◽

Cited By ~ 100

Author(s):

Ronald E. Mickens

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Fundamental Principle ◽

Difference Schemes ◽

Dynamic Consistency ◽

Finite Difference Schemes ◽

Nonstandard Finite Difference

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