Sentence examples for methods of arbitrary from inspiring English sources
Our new GRP solver is then used to construct locally implicit ADER methods of arbitrary accuracy in space and time for solving the general initial boundary value problem for non-linear systems of hyperbolic balance laws with stiff source terms.
Thus, we have convergent methods of arbitrary orders for sign (subsequently for polar decomposition).
However, there exists stable time-integration methods of arbitrary high order.
However, composition can be used to construct methods of arbitrary (even) order.
We have rigorously shown that the proposed iterated Strang splitting scheme is of second order in time and due to its symmetry properties can be used to construct methods of arbitrary (even) order by composition.
Therefore, it is possible to construct composition methods of arbitrary (even) order, where i, and thus the computational cost of S τ (i ), increases linearly with the desired order p. For a more detailed description we refer the reader to [6].
The MMF SWE formulation is numerically discretized using the discontinuous Galerkin method of arbitrary polynomial order p in space and an explicit Runge Kutta scheme in time.
After taking a few small (inner) steps with a simple, explicit method (such as direct forward Euler) to damp out the stiff components of the solution, the time derivative is estimated and used in an (outer) Runge Kutta method of arbitrary order.
We examine the associated linear eigenproblem both analytically and numerically using a spectral element method of arbitrary spatial order p. It is shown that existing sets of parameters, found by optimising the linear dispersion relation, give rise to unbounded eigenspectra which govern stability.
Relatedly, an important approach to objective probability that is gaining in popularity involves the so-called method of arbitrary functions.
The models were then converted into quasi-deterministic and fully stochastic forms for simulation using the method of arbitrary partial propensities (MAPP [ 52]), an 'exact' variant of the Gillespie direct method [ 53].
