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Showing 1 to 5 of 5 for “"Solution approximation"”.

  1. Forward modeling the gravitational field using a direct solution of Poisson's equation

    … using either closed-form formulae, or numerical solution of Poisson's equation governing the gravity potential followed by numerical differentiation. We present a method for computing the vertical gravity anomaly directly from Poisson's equation governing the gravitational acceleration, formally …

    colo-mines Repository record for Forward modeling the gravitational field using a direct solution of Poisson's equation (opens in a new tab)

  2. Analysis of solitary waves in inhomogeneous systems

    … For the first model, we obtain analytic solutions and show the difference between ground states that arise due to symmetric and asymmetric potentials. We find bifurcating asymmetric ground states at a threshold value of solution norm. In contrast to the symmetric case, pitchfork …

    essex Repository record for Analysis of solitary waves in inhomogeneous systems (opens in a new tab)

  3. Design of stable nanostructure configurations in ternary alloys

    … configurations will be missed by a regular solution approximation. This thesis describes research to develop a conceptual basis for the thermodynamic properties of multicomponent nanocrystalline alloys, and to design interesting ternary configurations not accessible in binary systems. The …

    mit Repository record for Design of stable nanostructure configurations in ternary alloys (opens in a new tab)

  4. Irreversibilities and nonidealities in desalination systems

    … the importance of irreversibilities and solution composition to the actual performance obtained. Least work of separation for a desalination system is derived and generalized to apply to all chemical separation processes driven by some combination of work, heat, and chemical energy (fuel) …

    mit Repository record for Irreversibilities and nonidealities in desalination systems (opens in a new tab)

  5. Efficient projection space updates for the approximation of iterative solutions to linear systems with successive right hand sides

    Accurate initial guesses to the solution can dramatically speed convergence of iterative solvers. In the case of successive right hand sides, it has been shown that accurate initial solutions may be obtained by projecting the newest right hand side vector onto a column space of recent prior …

    uiuc Repository record for Efficient projection space updates for the approximation of iterative solutions to linear systems with successive right hand sides (opens in a new tab)