Differential Equations

Optimal Climate Policy under Exogenous and Endogenous Technical Change: Making Sense of the Different Approaches

e(−δ+nt)tuccθ (54) 39 We now have a system of four differential equations in four variables S, a, v, λS (Equations …

The Institute is funded by the Grantham Foundation for the Protection of the Environment and a number of other sources. [...] The NW quadrant is the MAC curve, expressed as …

e(−δ+nt)tuccθ (54) 38 We now have a system of four differential equations in four variables S, a, v, λS (Equations …

We develop a segmented markets model which rationalizes the effects of monetary policy on the term structure of interest rates. When arbitrageurs’ portfolio features positive duration, an unexpected rise in …

equilibrium in terms of a system of four partial differential equations: equilibrium in the bond market implied …

Given growing concerns about climate tipping points and their risks, it is important to investigate the capability of identifying robust precursor signals for the associated transitions. In general, the variance …

Unless otherwise mentioned, the stochas- tic differential equations below are solved with the Euler– Maruyama …

We propose to explore the sustainability of climate policies based on a novel commitment metric. This metric allows to quantify how future generations’ scope of action is affected by short-term …

those 2000 years. We integrate SURFER’s differential equations in Julia using the package DifferentialEquations …

ERC Advanced Grants 2023 List of Principal Investigators – PE domain Host institution refers to institution at time of application Host Institution local Host Last name First name Host Institution …

National de la National Center for Solving differential equations VAN DER HOEVEN Joris Recherche Scientifique …

We develop a model of self-fulfilling default cycles with demand externality a la Dixit- Stiglitz to explain the recurrent clustered defaults observed in the data. The literature reports that observable …

equilibrium can be precisely described by two differential equations involving only these two variables, visually … equilibrium trajectories satisfying the differential equations and the transversality conditions are infinite …

Network diffusion models are used to study things like disease transmission, information spread, and technology adoption. However, small amounts of mismeasurement are extremely likely in the networks constructed to operationalize …

approximation of the diffusion process by a standard differential equations SIR compartmental model. In practice, diffusion … occurs over discrete time. The compartmental differential equations model sim- plifies matters by using a mean … model and the estimated trajectory from the differential equations model. Panel (A) and (B) use q = 4, while …

Flood losses have steadily increased in the past and are expected to grow even further owing to climate and socioeconomic change. The reduction of flood vulnerability, for example, through adaptation, …

dynamics model consisting of three coupled differential equations (reformulated into four equations for readability) …

We study the dynamics of a piecewise-linear second-order delay differential equation that is representative of feedback systems with relays (switches) that actuate after a fixed delay. The system under study …

analytic results become possible. Delay differential equations have, generically, an infinite dimensional …