Sentence examples for conservative and stable from inspiring English sources

Numerically approximating solutions to nonlinear conservation laws requires applications of a conservative and stable numerical method, so that reasonable numerical solutions are obtained, such that positivity and/or monotonicity of certain physical quantities are realized.

Moreover, the method is shown to be consistent, conservative and stable.

We discuss conservative and stable numerical approximations in summation-by-parts form for linear hyperbolic problems with variable coefficients.

Here, new formulations are proposed, allowing the creation of discretisations using general SBP operators that are both conservative and stable.

We perform the numerical experiments through a class of explicit high order accurate conservative and stable numerical schemes and a semi-implicit nonlinear Crank Nicolson type scheme.

We prove that conservative and stable formulations for variable coefficient problems require a boundary and interface conforming grid and exact numerical mimicking of integration-by-parts. Finally, we comment on how the conclusions from the linear analysis carry over to the nonlinear setting.

Combined with simultaneous approximation terms, summation-by-parts (SBP) operators offer a versatile and efficient methodology that leads to consistent, conservative, and provably stable discretizations.

SBP discretizations with curved elements remain accurate, conservative, and entropy stable provided the mapping Jacobian satisfies the discrete metric invariants; polynomial mappings at most one degree higher than the SBP operators automatically satisfy the metric invariants in two dimensions.

The scheme is inherently mass-conservative, monotonic and stable with large time-steps.

The Conservatives' "strong and stable" election mantra has an imperial ring, too, the conjuring up of something old, something dominant, something seaworthy.

The variational finite element technique relies on the Allen Cahn phase-field equation for capturing the phase interface on a fixed Eulerian mesh with mass conservative and energy-stable discretization.