Local error estimates in the numerical solution of y"=f(x,y)

Proceedings of the IEEE ◽

10.1109/proc.1973.9279 ◽

1973 ◽

Vol 61 (9) ◽

pp. 1365-1366

Author(s):

P.B. Worland

Keyword(s):

Numerical Solution ◽

Error Estimates ◽

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Local error estimates for finite element discretization of the Stokes equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1995290303671 ◽

1995 ◽

Vol 29 (3) ◽

pp. 367-389 ◽

Author(s):

Douglas N. Arnold ◽

Liu Xiaobo

Keyword(s):

Finite Element ◽

Error Estimates ◽

Stokes Equations ◽

Local Error ◽

Finite Element Discretization ◽

Element Discretization

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Local-error estimates for variable-step Runge-Kutta methods

Lecture Notes in Mathematics - Conference on the Numerical Solution of Differential Equations ◽

10.1007/bfb0060033 ◽

1969 ◽

pp. 228-233 ◽

Author(s):

A. Prothero

Keyword(s):

Error Estimates ◽

Local Error ◽

Variable Step ◽

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Optimal Error Estimates in Numerical Solution of Time Fractional Schrödinger Equations on Unbounded Domains

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.190218.150718 ◽

2018 ◽

Vol 8 (4) ◽

pp. 634-655 ◽

Author(s):

Zhi-Zhong Sun

Keyword(s):

Numerical Solution ◽

Error Estimates ◽

Unbounded Domains ◽

Optimal Error Estimates ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Optimal Error ◽

Fractional Schrödinger Equations

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Two-sided error estimates in the numerical solution of initial value problems

Lecture Notes in Mathematics - Numerische Behandlung nichtlinearer Integrodifferential-und Differentialgleichungen ◽

10.1007/bfb0060666 ◽

1974 ◽

pp. 109-122 ◽

Author(s):

M. N. Spijker

Keyword(s):

Numerical Solution ◽

Error Estimates ◽

Initial Value Problems ◽

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Closed-form error estimates for the numerical solution of Fredholm integral equations of the second kind

Journal of Integral Equations and Applications ◽

10.1216/jie-2008-20-4-481 ◽

2008 ◽

Vol 20 (4) ◽

pp. 481-505

Author(s):

C. M. Groh ◽

M. A. Kelmanson

Keyword(s):

Numerical Solution ◽

Closed Form ◽

Integral Equations ◽

Error Estimates ◽

Fredholm Integral Equations ◽

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Local Error Estimates for the Galerkin Method Applied to Strongly Elliptic Integral Equations on Open Curves

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142993251401 ◽

1996 ◽

Vol 33 (4) ◽

pp. 1484-1493 ◽

Author(s):

Thanh Tran

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Error Estimates ◽

Elliptic Integral ◽

Local Error ◽

The Galerkin Method

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Computable error estimates for linearization and numerical solution of obstacle problems

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(94)90185-6 ◽

1994 ◽

Vol 55 (1) ◽

pp. 69-79

Author(s):

Weimin Han

Keyword(s):

Numerical Solution ◽

Error Estimates ◽

Obstacle Problems

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Local error estimates of mixed discontinuous Galerkin methods for elliptic problems

Journal of Numerical Mathematics ◽

10.1515/1569395041172926 ◽

2004 ◽

Vol 12 (1) ◽

pp. 1-21 ◽

Author(s):

H. Chen

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Local Error ◽

Galerkin Methods

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A-posteriori local error estimates for some finite and boundary element methods

Advances in Engineering Software ◽

10.1016/0965-9978(92)90098-z ◽

1992 ◽

Vol 15 (3-4) ◽

pp. 175-179 ◽

Author(s):

De-Hao Yu

Keyword(s):

Boundary Element ◽

Error Estimates ◽

Boundary Element Methods ◽

Local Error ◽

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Numerical Solution of Weakly Singular Integrodifferential Equations on Closed Smooth Contour in Lebesgue Spaces

Journal of Applied Mathematics ◽

10.1155/2012/365904 ◽

2012 ◽

Vol 2012 ◽

pp. 1-14

Author(s):

Feras M. Al Faqih

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Error Estimates ◽

Closed Contour ◽

Lebesgue Spaces ◽

Solvability Conditions ◽

Mechanical Quadrature ◽

Weakly Singular ◽

Quadrature Methods ◽

Singular Integrodifferential Equations

The present paper deals with the justification of solvability conditions and properties of solutions for weakly singular integro-differential equations by collocation and mechanical quadrature methods. The equations are defined on an arbitrary smooth closed contour of the complex plane. Error estimates and convergence for the investigated methods are established in Lebesgue spaces.

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