Efficient second derivative methods with extended stability regions for non-stiff IVPs

Computational and Applied Mathematics ◽

10.1007/s40314-017-0436-y ◽

2017 ◽

Vol 37 (2) ◽

pp. 2001-2016 ◽

Author(s):

N. Barghi Oskouie ◽

G. Hojjati ◽

A. Abdi

Keyword(s):

Second Derivative ◽

Stability Regions ◽

Second Derivative Methods

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Implementation of Nordsieck second derivative methods for stiff ODEs

Applied Numerical Mathematics ◽

10.1016/j.apnum.2015.04.002 ◽

2015 ◽

Vol 94 ◽

pp. 241-253 ◽

Author(s):

A. Abdi ◽

G. Hojjati

Keyword(s):

Second Derivative ◽

Second Derivative Methods

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Second derivative methods for the solution of stiff ordinary differential equations

10.2172/4454115 ◽

1973 ◽

Author(s):

R. L. Brown

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Second Derivative ◽

Stiff Ordinary Differential Equations ◽

Second Derivative Methods

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Projection of Second Derivative Methods for Ordinary Differential Equations with Invariants

Bulletin of the Iranian Mathematical Society ◽

10.1007/s41980-019-00243-1 ◽

2019 ◽

Vol 46 (1) ◽

pp. 99-113

Author(s):

Ali Abdi ◽

Gholamreza Hojjati

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Second Derivative ◽

Second Derivative Methods

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EXISTENDED SECOND DERIVATIVE METHODS FOR SOLVING STIFF SYSTEMS OF ODEs

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30380-1 ◽

1990 ◽

Vol 10 (1) ◽

pp. 63-69

Author(s):

Xuhai Xu

Keyword(s):

Second Derivative ◽

Stiff Systems ◽

Systems Of Odes ◽

Second Derivative Methods

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Convergence rates for direct transcription of optimal control problems using Second Derivative Methods

2016 American Control Conference (ACC) ◽

10.1109/acc.2016.7524918 ◽

2016 ◽

Author(s):

Dayaram Sonawane ◽

Manan Pathak ◽

Venkat R. Subramanian

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Convergence Rates ◽

Control Problems ◽

Second Derivative ◽

Direct Transcription ◽

Second Derivative Methods

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A modified optimization procedure for production and injection scheduling in an oil field using second derivative methods

Arabian Journal of Geosciences ◽

10.1007/s12517-021-08048-5 ◽

2021 ◽

Vol 14 (16) ◽

Author(s):

Mahyar Rajabi-Kochi ◽

Ehsan Khamehchi

Keyword(s):

Optimization Procedure ◽

Oil Field ◽

Second Derivative ◽

Second Derivative Methods

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An Investigation into the Stability Properties of Second Derivative Methods Using Perfect Square Iteration Matrices

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0907084 ◽

1986 ◽

Vol 7 (4) ◽

pp. 1246-1264 ◽

Author(s):

C. A. Addison ◽

P. M. Hanson

Keyword(s):

Second Derivative ◽

Stability Properties ◽

The Stability ◽

Second Derivative Methods

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Stiffly stable second derivative multistep methods with higher order and improved stability regions

BIT Numerical Mathematics ◽

10.1007/bf01937327 ◽

1983 ◽

Vol 23 (1) ◽

pp. 75-83 ◽

Author(s):

P. C. Chakravarti ◽

M. S. Kamel

Keyword(s):

Multistep Methods ◽

Higher Order ◽

Second Derivative ◽

Stability Regions ◽

Improved Stability

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The application of second derivative methods to solving Volterra integro-differential equations

10.1063/1.4913103 ◽

2015 ◽

Author(s):

Mehriban Imanova ◽

Vagif Ibrahimov

Keyword(s):

Differential Equations ◽

Second Derivative ◽

Second Derivative Methods

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QUANTITATIVE STUDIES CONCERNING THE VERTICAL GRADIENT AND SECOND DERIVATIVE METHODS OF GRAVITY INTERPRETATION*

Geophysical Prospecting ◽

10.1111/j.1365-2478.1954.tb01282.x ◽

1954 ◽

Vol 2 (2) ◽

pp. 128-138 ◽

Author(s):

OTTO ROSENBACH

Keyword(s):

Vertical Gradient ◽

Second Derivative ◽

Quantitative Studies ◽

Gravity Interpretation ◽

Second Derivative Methods

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