The Neumann Problem for Nonlinear Second Order Singular Perturbation Problems

Benoit Perthame; Richard Sanders

doi:10.1137/0519022

The Neumann Problem for Nonlinear Second Order Singular Perturbation Problems

SIAM Journal on Mathematical Analysis ◽

10.1137/0519022 ◽

1988 ◽

Vol 19 (2) ◽

pp. 295-311 ◽

Cited By ~ 6

Author(s):

Benoit Perthame ◽

Richard Sanders

Keyword(s):

Singular Perturbation ◽

Neumann Problem ◽

Second Order ◽

Singular Perturbation Problems ◽

The Neumann Problem ◽

Perturbation Problems

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Uniformly Convergent Second Order Numerical Method for a Class of Parameterized Singular Perturbation Problems

Differential Equations and Dynamical Systems ◽

10.1007/s12591-017-0361-y ◽

2017 ◽

Vol 28 (4) ◽

pp. 1033-1043

Author(s):

D. Shakti ◽

J. Mohapatra

Keyword(s):

Singular Perturbation ◽

Numerical Method ◽

Second Order ◽

Singular Perturbation Problems ◽

Uniformly Convergent ◽

Perturbation Problems

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Boundary value problems for second order ordinary differential equations and applications to singular perturbation problems on $[a,b]\subset(-\infty,\infty)$

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj-1976-6-4-761 ◽

1976 ◽

Vol 6 (4) ◽

pp. 761-766 ◽

Cited By ~ 1

Author(s):

Tai-Chi Lee

Keyword(s):

Differential Equations ◽

Singular Perturbation ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Singular Perturbation Problems ◽

Perturbation Problems

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Asymptotic Initial-Value Method for Second-Order Singular Perturbation Problems of Reaction-Diffusion Type with Discontinuous Source Term

Journal of Optimization Theory and Applications ◽

10.1007/s10957-007-9167-3 ◽

2007 ◽

Vol 133 (3) ◽

pp. 371-383 ◽

Cited By ~ 3

Author(s):

T. Valanarasu ◽

N. Ramanujam

Keyword(s):

Singular Perturbation ◽

Source Term ◽

Reaction Diffusion ◽

Second Order ◽

Singular Perturbation Problems ◽

Initial Value ◽

Diffusion Type ◽

Discontinuous Source Term ◽

Perturbation Problems

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Turning points in second-order elliptic singular perturbation problems

Conference on the Theory of Ordinary and Partial Differential Equations - Lecture Notes in Mathematics ◽

10.1007/bfb0066942 ◽

1972 ◽

pp. 273-278 ◽

Cited By ~ 1

Author(s):

P. P. N. de Groen

Keyword(s):

Singular Perturbation ◽

Turning Points ◽

Second Order ◽

Singular Perturbation Problems ◽

Perturbation Problems

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Singular Perturbation Problems for Non-Linear Elliptic Second Order Equations.

Spectral Theory and Asymptotics of Differential Equations, proceedings of the Scheveningen conference on differential equations - North-Holland Mathematics Studies ◽

10.1016/s0304-0208(08)70744-8 ◽

1974 ◽

pp. 181-195

Author(s):

A. Van Harten

Keyword(s):

Singular Perturbation ◽

Second Order ◽

Singular Perturbation Problems ◽

Non Linear ◽

Perturbation Problems ◽

Second Order Equations

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A finite differences MATLAB code for the numerical solution of second order singular perturbation problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.04.011 ◽

2012 ◽

Vol 236 (16) ◽

pp. 3869-3879 ◽

Cited By ~ 6

Author(s):

Pierluigi Amodio ◽

Giuseppina Settanni

Keyword(s):

Singular Perturbation ◽

Numerical Solution ◽

Finite Differences ◽

Second Order ◽

Singular Perturbation Problems ◽

Matlab Code ◽

Perturbation Problems

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Finite Volume Methods for the Second Order Singular Perturbation Problems

2011 Seventh International Conference on Computational Intelligence and Security ◽

10.1109/cis.2011.335 ◽

2011 ◽

Author(s):

Chongnan He

Keyword(s):

Singular Perturbation ◽

Finite Volume ◽

Finite Volume Methods ◽

Second Order ◽

Singular Perturbation Problems ◽

Perturbation Problems

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An asymptotic initial value method for second order singular perturbation problems of convection-diffusion type with a discontinuous source term

Journal of Applied Mathematics and Computing ◽

10.1007/bf02831964 ◽

2007 ◽

Vol 23 (1-2) ◽

pp. 141-152 ◽

Cited By ~ 3

Author(s):

T. Valanarasu ◽

N. Ramanujam

Keyword(s):

Singular Perturbation ◽

Source Term ◽

Second Order ◽

Singular Perturbation Problems ◽

Initial Value ◽

Diffusion Type ◽

Convection Diffusion ◽

Discontinuous Source Term ◽

Perturbation Problems

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An exponentially fitted special second-order finite difference method for solving singular perturbation problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.02.051 ◽

2007 ◽

Vol 190 (2) ◽

pp. 1767-1782 ◽

Cited By ~ 6

Author(s):

Andargie Awoke ◽

Y.N. Reddy

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Singular Perturbation ◽

Difference Method ◽

Second Order ◽

Singular Perturbation Problems ◽

Exponentially Fitted ◽

Perturbation Problems

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On Uniform Difference Schemes for Second-Order Singular Perturbation Problems in Banach Spaces

SIAM Journal on Mathematical Analysis ◽

10.1137/0523003 ◽

1992 ◽

Vol 23 (1) ◽

pp. 29-54 ◽

Cited By ~ 16

Author(s):

A. Ashyralyev ◽

H. O. Fattorini

Keyword(s):

Singular Perturbation ◽

Banach Spaces ◽

Second Order ◽

Difference Schemes ◽

Singular Perturbation Problems ◽

Perturbation Problems

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