• Publications
  • Influence
Two new classes of optimal Jarratt-type fourth-order methods
Abstract In this paper, we investigate the construction of some two-step without memory iterative classes of methods for finding simple roots of nonlinear scalar equations. The classes are builtExpand
  • 61
  • 4
Three Proofs of the Inequality e < (1 + (1/n))n+0.5
  • 11
  • 3
Derivative-Free Optimal Iterative Methods
Abstract In this study, we develop an optimal family of derivative-free iterative methods. Convergence analysis shows that the methods are fourth order convergent, which is also verified numerically.Expand
  • 10
  • 3
Unifying fourth-order family of iterative methods
In this work, we develop a new two-parameter family of iterative methods for solving nonlinear scalar equations. One of the parameters is defined through an infinite power series consisting of realExpand
  • 16
  • 2
  • PDF
Fourth-order family of iterative methods with four parameters
We present a novel fourth order convergent family of iterative methods, consisting of four parameters, for solving nonlinear scalar equations. Methods require evaluations of two functions andExpand
  • 4
  • 2
CO2 storage in the Utsira Formation – ATHENA 3D reactive transport simulations
Emissions of CO2 to the atmosphere by combustion of hydrocarbons and by CO2 capture from natural gas streams are believed to contribute to a global greenhouse effect. It has for this reason beenExpand
  • 11
  • 1
Sixth order derivative free family of iterative methods
In this study, we develop a four-parameter family of sixth order convergent iterative methods for solving nonlinear scalar equations. Methods of the family require evaluation of four functions perExpand
  • 33
  • 1
Grid generation and adaptation by functionals
Accuracy of a simulation is strongly depend on the grid quality. Here, quality means orthogonality at the boundaries and quasi-orthogonality within the critical regions, smoothness, bounded aspectExpand
  • 11
  • 1
  • PDF
Nonlinear elliptic problems with the method of finite volumes
We present a finite volume discretization of the nonlinear elliptic problems. The discretization results in a nonlinear algebraic system of equations. A Newton-Krylov algorithm is also presented forExpand
  • 9
  • 1
  • PDF
Unmanaged heathland – A fire risk in subzero temperatures?
Abstract Parameters leading to the severe Flatanger and Froya (Norway) January 2014 subzero wildfires, respectively burning 15 km 2 and 10 km 2 Atlantic heathlands (dominated by heather, CallunaExpand
  • 8
  • 1