potential fields are due to complex distribution of sources related to susceptibility and mass density variations for magnetic and gravity field respectively. in researching the lateral heterogeneous of different geological bodies, in particular their edge location potential field has some advantages. we mainly refer to linear features such as fault, folding axis, dyke, trend and border of the ...

In this work, we construct and derive a new class of exponentially fitted two-derivative diagonally implicit Runge–Kutta (EFTDDIRK) methods for the numerical solution differential equations with oscillatory solutions. First, general format so-called modified (TDDIRK) is proposed. Their order conditions up to six are derived by introducing set bi-colored rooted trees deriving elementary weights....

Abstract Direct search methods represent a robust and reliable class of algorithms for solving black-box optimization problems. In this paper, the application those strategies is exported to Riemannian optimization, wherein minimization be performed with respect variables restricted lie on manifold. More specifically, classic linesearch extrapolated variants direct are considered, tailored devi...