F. Krogh

Publications71
h-index16
Citations4,775
Highly Influential Citations399
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Basic Linear Algebra Subprograms for Fortran Usage
TLDR
A package of 38 low level subprograms for many of the basic operations of numerical linear algebra is presented, intended to be used with FORTRAN.
Solving Ordinary Differential Equations
Changing stepsize in the integration of differential equations using modified divided differences
TLDR
New algorithms are given which make the use of modified divided differences an attractive way to carry out the change in stepsize forMultistep methods for solving differential equations based on numerical integration formulas or numerical differentiation formulas.
On Testing a Subroutine for the Numerical Integration of Ordinary Differential Equations
TLDR
This paper discusses how to numerically test a subroutine for the solution of ordinary differential equations with a variable order Adams method.
Algorithms for Changing the Step Size
Approximately ten different ways for changing the step size used by multistep methods are enumerated, and their good and bad features are compared. More efficient algorithms are given for the…
The gravitational field of a disk
This note gives the gravitational potential of the disk {(x, y, z):x2+y2≤p2, z=0} and the gravitational field at the point (x, y, z). Formulas for a ring can be obtained as the difference of our…
A proposal for standard linear algebra subprograms
A set of FORTRAN callable subprograms are proposed which will be useful in the development of efficient portable ANSI FORTRAN subprograms and applications programs in the area of linear algebra.
A variable-step, variable-order multistep method for the numerical solution of ordinary differential equations
Efficient Algorithms for Polynomial Interpolation and Numerical Differentiation
  • F. Krogh
  • Computer Science, Mathematics
  • 1970
Algorithms based on Newton's interpolation formula are given for: simple polynomial interpolation, polynomial interpolation with derivatives supplied at some of the data points, interpolation with…
Algorithm 539: Basic Linear Algebra Subprograms for Fortran Usage [F1]
TLDR
This work was supported by the National Aeronautics and Space Administration under Contract NAS 7-100 and by the Office of Naval Research under Contract NR 044-457.
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