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An efficient iterative algorithm for solving this system is proposed and shown to converge in a wide range of examples.
Previous mass-exchange network design was only for counter-current systems, so one needed to develop new methodology for solving this system.
The chapter discusses the three possibilities for solving this system of equations efficiently— namely, the preconditioned conjugate gradient method for a corresponding Schur complement system, a conjugate gradient method of Bramble-Pasciak type and a multigrid method.
There are several strategies for solving this system of non-linear equations for the bond distances.
For solving this system, Galerkin procedure is utilized via shifted Chebyshev polynomials.
Using the parallel algorithm considered in [12], we suggest and analyze a parallel iterative method for solving this system.
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We study the convergence properties of iterative methods for solving this discretized system.
The main contribution of this paper is to propose a fast direct method for solving this linear system, and to illustrate that the proposed method is much faster than the classical block forward substitution method for solving this linear system.
We then present a primal dual algorithm for this problem by solving this system of strongly semismooth equations.
It corresponds to the case with an arbitrary recombination rate r (c.f. Section 2.2) and mutation rates μ i =μ for i=1, 2. Before solving this system of three coupled equations, the 1-locus MP PM1 should be computed first as described in Section 6.2.
For brevity, we have solved this system of equations only for a set of one-dimensional Riemann problems, with initial conditions reported in Table 8.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com