This paper presents a new approach to synchronized limiting of density, energy, and pressure jumps in discontinuous Galerkin (DG) methods for the Euler equations of gas dynamics. A vertex-based version of the Barth-Jespersen limiter for scalar quantities is generalized to constrain the gradients of the conservative variables in a way which guarantees that all quantities of interest remain in th...

Most social scientists would agree that the capacity for human culture was probably fashioned by natural selection, but they disagree about the implications of this supposition. Some believe that natural selection imposes important constraints on the ways in which culture can vary, while others believe that any such constraints must be negligible. This paper employs a “thought experiment” to de...

Axiomatic principles such as analyticity, unitarity, and crossing symmetry constrain the second derivative of the π π scattering amplitudes in some channels to be positive in a region of the Mandelstam plane. Since this region lies in the domain of validity of chiral perturbation theory, we can use these positivity conditions to bound linear combinations of l̄1 and l̄2. We compare our predictions...

nonstandard finite difference schemes for the black-scholes partial differential equation preserving the positivity property are proposed. computationally simple schemes are derived by using a nonlocal approximation in the reaction term of the black-scholes equation. unlike the standard methods, the solutions of new proposed schemes are positive and free of the spurious oscillations.

We use generalized elastic positivity bounds to constrain the parameter space of multi-field spin-2 effective field theories. These involve inelastic scattering amplitudes between particles with different masses, which contain kinematic singularities even in $t=0$ limit. apply these pseudo-linear theory, cycle theory and line respectively. For we exclude remaining operators that are unconstrain...

A bstract We derive new effective field theory (EFT) positivity bounds on the elastic 2 ? scattering amplitudes of massive spinning particles from standard UV properties unitarity, causality, locality and Lorentz invariance. By bounding t derivatives amplitude (which can be represented as angular momentum matrix elements) in terms total ingoing helicity, we stronger unitarity s - u -channel bra...