Investigations of nonstandard, Mickens-type, finite-difference schemes for singular boundary value problems in cylindrical or spherical coordinates

Ron Buckmire

doi:10.1002/num.10055

Investigations of nonstandard, Mickens-type, finite-difference schemes for singular boundary value problems in cylindrical or spherical coordinates

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10055 ◽

2003 ◽

Vol 19 (3) ◽

pp. 380-398 ◽

Cited By ~ 30

Author(s):

Ron Buckmire

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Singular Boundary ◽

Spherical Coordinates ◽

Singular Boundary Value Problems

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Stability of finite difference schemes for hyperbolic initial boundary value problems II

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE ◽

10.2422/2036-2145.2011.1.03 ◽

2011 ◽

pp. 37-98

Author(s):

Jean-François Coulombel

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Stability of Finite Difference Schemes for Hyperbolic Initial Boundary Value Problems

Series in Contemporary Applied Mathematics - Hyperbolic Problems ◽

10.1142/9789814417099_0014 ◽

2012 ◽

pp. 184-195

Author(s):

Jean-François Coulombel

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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On the convergence of fourth-order finite difference method for weakly regular singular boundary value problems

International Journal of Computer Mathematics ◽

10.1080/00207160310001650116 ◽

2004 ◽

Vol 81 (2) ◽

pp. 227-238 ◽

Cited By ~ 4

Author(s):

R. K. Pandey ◽

Arvind K. Singh†

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Fourth Order ◽

Difference Method ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems

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On the convergence of finite difference methods for weakly regular singular boundary value problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.05.012 ◽

2007 ◽

Vol 205 (1) ◽

pp. 469-478 ◽

Cited By ~ 12

Author(s):

R.K. Pandey ◽

Arvind K. Singh

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Finite Difference Methods ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Difference Methods

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Stability of Finite Difference Schemes for Hyperbolic Initial Boundary Value Problems

SIAM Journal on Numerical Analysis ◽

10.1137/080728342 ◽

2009 ◽

Vol 47 (4) ◽

pp. 2844-2871 ◽

Cited By ~ 2

Author(s):

Jean-François Coulombel

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

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 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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Finite difference schemes for some types of boundary value problems with interfaces

PAMM ◽

10.1002/pamm.200410332 ◽

2004 ◽

Vol 4 (1) ◽

pp. 702-703 ◽

Cited By ~ 1

Author(s):

Bo?ko S. Jovanovi? ◽

Lubin G. Vulkov

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Difference Schemes ◽

Finite Difference Schemes

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Error Analysis of Finite Difference Schemes Applied to Hyperbolic Initial Boundary Value Problems

Mathematics of Computation ◽

10.2307/2006025 ◽

1979 ◽

Vol 33 (145) ◽

pp. 11 ◽

Cited By ~ 4

Author(s):

Gunilla Skollermo

Keyword(s):

Finite Difference ◽

Error Analysis ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Stability of finite difference schemes approximation for hyperbolic boundary value problems in an interval

10.1090/mcom/3698 ◽

2021 ◽

Author(s):

Antoine Benoit

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Hyperbolic Boundary

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Numerical solution of doubly singular boundary value problems by finite difference method

Computational and Applied Mathematics ◽

10.1007/s40314-020-01344-y ◽

2020 ◽

Vol 39 (4) ◽

Author(s):

Pradip Roul ◽

V. M. K. Prasad Goura

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Numerical Solution ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems

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