A posteriori error analysis of round-off errors in the numerical solution of ordinary differential equations

Benjamin Kehlet; Anders Logg

doi:10.1007/s11075-016-0250-4

A posteriori error analysis of round-off errors in the numerical solution of ordinary differential equations

Numerical Algorithms ◽

10.1007/s11075-016-0250-4 ◽

2017 ◽

Vol 76 (1) ◽

pp. 191-210 ◽

Cited By ~ 6

Author(s):

Benjamin Kehlet ◽

Anders Logg

Keyword(s):

Differential Equations ◽

Error Analysis ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis

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Ritz-Volterra reconstructions and a posteriori error analysis of finite element method for parabolic integro-differential equations

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drt059 ◽

2013 ◽

Vol 35 (1) ◽

pp. 341-371 ◽

Cited By ~ 7

Author(s):

G. M. M. Reddy ◽

R. K. Sinha

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis ◽

Element Method

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A Posteriori Error Analysis of Stochastic Differential Equations Using Polynomial Chaos Expansions

SIAM Journal on Scientific Computing ◽

10.1137/100795760 ◽

2011 ◽

Vol 33 (3) ◽

pp. 1267-1291 ◽

Cited By ~ 25

Author(s):

T. Butler ◽

C. Dawson ◽

T. Wildey

Keyword(s):

Differential Equations ◽

Error Analysis ◽

Stochastic Differential Equations ◽

Polynomial Chaos ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis ◽

Polynomial Chaos Expansions

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A Posteriori Error Analysis of the Crank–Nicolson Finite Element Method for Parabolic Integro-Differential Equations

Journal of Scientific Computing ◽

10.1007/s10915-018-0860-1 ◽

2018 ◽

Vol 79 (1) ◽

pp. 414-441 ◽

Cited By ~ 1

Author(s):

G. Murali Mohan Reddy ◽

Rajen Kumar Sinha ◽

José Alberto Cuminato

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis ◽

Element Method

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On the Crank-Nicolson anisotropic a posteriori error analysis for parabolic integro-differential equations

Mathematics of Computation ◽

10.1090/mcom/3067 ◽

2015 ◽

Vol 85 (301) ◽

pp. 2365-2390 ◽

Cited By ~ 4

Author(s):

G. Murali Mohan Reddy ◽

Rajen K. Sinha

Keyword(s):

Differential Equations ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis ◽

Crank Nicolson

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The backward euler anisotropic a posteriori error analysis for parabolic integro-differential equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22049 ◽

2016 ◽

Vol 32 (5) ◽

pp. 1309-1330 ◽

Cited By ~ 2

Author(s):

Gujji Murali Mohan Reddy ◽

Rajen Kumar Sinha

Keyword(s):

Differential Equations ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Backward Euler ◽

Posteriori Error Analysis

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A posteriori error analysis and adaptive methods for partial differential equations

Proceedings of the International Congress of Mathematicians Madrid, August 22–30, 2006 ◽

10.4171/022-3/56 ◽

2009 ◽

pp. 1163-1180

Author(s):

Zhiming Chen

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Error Analysis ◽

Posteriori Error ◽

Adaptive Methods ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

Partial Differential ◽

A Posteriori Error ◽

Posteriori Error Analysis

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A posteriori error analysis of multiscale operator decomposition methods for multiphysics models

Journal of Physics Conference Series ◽

10.1088/1742-6596/125/1/012075 ◽

2008 ◽

Vol 125 ◽

pp. 012075 ◽

Cited By ~ 11

Author(s):

D Estep ◽

V Carey ◽

V Ginting ◽

S Tavener ◽

T Wildey

Keyword(s):

Error Analysis ◽

Posteriori Error ◽

Decomposition Methods ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis ◽

Operator Decomposition

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Discontinuous Galerkin methods on hp-anisotropic meshes II: a posteriori error analysis and adaptivity

Applied Numerical Mathematics ◽

10.1016/j.apnum.2008.12.008 ◽

2009 ◽

Vol 59 (9) ◽

pp. 2179-2194 ◽

Cited By ~ 24

Author(s):

Emmanuil H. Georgoulis ◽

Edward Hall ◽

Paul Houston

Keyword(s):

Error Analysis ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Posteriori Error ◽

Galerkin Methods ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Anisotropic Meshes ◽

Posteriori Error Analysis

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A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation

BIT Numerical Mathematics ◽

10.1007/s10543-013-0424-6 ◽

2013 ◽

Vol 53 (3) ◽

pp. 689-716 ◽

Cited By ~ 2

Author(s):

Fardin Saedpanah

Keyword(s):

Differential Equation ◽

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Continuous Space ◽

Posteriori Error Analysis

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A posteriori error analysis of a cell-centered finite volume method for semilinear elliptic problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.07.046 ◽

2009 ◽

Vol 233 (2) ◽

pp. 459-472 ◽

Cited By ~ 12

Author(s):

Don Estep ◽

Michael Pernice ◽

Du Pham ◽

Simon Tavener ◽

Haiying Wang

Keyword(s):

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Semilinear Elliptic ◽

A Cell ◽

Semilinear Elliptic Problems ◽

Posteriori Error Analysis ◽

Volume Method

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