The authors review the connections existing, based on potential theory, between contact mechanics and equilibrium electrostatics. This little known correspondence is exploited so that problems scattered in many works can be easily solved by bringing to light their “duals” in elastic theory.
Josep Batle +2 more
wiley +1 more source
A standard protocol to report discrete stage‐structured demographic information
Abstract Stage‐based demographic methods, such as matrix population models (MPMs), are powerful tools used to address a broad range of fundamental questions in ecology, evolutionary biology and conservation science. Accordingly, MPMs now exist for over 3000 species worldwide.
Samuel J. L. Gascoigne +39 more
wiley +1 more source
A numerical scheme for the optimal control of groundwater pollution
Abstract A scheme is proposed for the numerical study of optimal control problems related to groundwater quality management in the case of nonpoint‐source pollution. The corresponding state equation is a system of coupled nonlinear partial differential equations.
Catherine Choquet +3 more
wiley +1 more source
Optimal allocations with α‐MaxMin utilities, Choquet expected utilities, and prospect theory
The analysis of optimal risk sharing has been thus far largely restricted to nonexpected utility models with concave utility functions, where concavity is an expression of ambiguity aversion and/or risk aversion. This paper extends the analysis to α‐maxmin expected utility, Choquet expected utility, and cumulative prospect theory, which accommodate ...
Patrick Beißner, Jan Werner
wiley +1 more source
Hidden Markov models: Pitfalls and opportunities in ecology
Abstract Hidden Markov models (HMMs) and their extensions are attractive methods for analysing ecological data where noisy, multivariate measurements are made of a hidden, ecological process, and where this hidden process is represented by a sequence of discrete states.
Richard Glennie +5 more
wiley +1 more source
Correction to: Quantitative Approximation by Nonlinear Picard–Choquet, Gauss–Weierstrass–Choquet and Poisson–Cauchy–Choquet Singular Integrals [PDF]
By using the concept of Choquet nonlinear integral with respect to a submodular set function, we introduce the nonlinear Picard–Choquet operators, Gauss–Weierstrass–Choquet operators and Poisson–Cauchy–Choquet operators with respect to a family of submodular set functions. Quantitative approximation results of the order $$\omega _{1}(f; t)_{\mathbb {R}}
openaire +1 more source
Equipment Development Scheme Decision Based on IFS‐Choquet Integral Improved Matter Element Model
An optimized matter element decision method is proposed based on intuitionistic fuzzy set (IFS) and Choquet integral to solve the problems of equipment development scheme decision (e.g., the correlation of scheme attributes and the low decision reliability of evaluation results).
Nuojin Zhu +5 more
wiley +1 more source
Estimating Household Preferences for Coastal Flood Risk Mitigation Policies Under Ambiguity
Abstract Risk mitigation policies (like dike rising) are essential to address increasing coastal flood risks due to global warming. Furthermore, the optimal level of risk mitigation policy should be determined by public preferences for risk reduction.
Si Ha +7 more
wiley +1 more source
Optimising a nonlinear utility function in multi-objective integer programming [PDF]
In this paper we develop an algorithm to optimise a nonlinear utility function of multiple objectives over the integer efficient set. Our approach is based on identifying and updating bounds on the individual objectives as well as the optimal utility ...
A. Przybylski +22 more
core +2 more sources
Einstein-Bianchi Hyperbolic System for General Relativity [PDF]
By employing the Bianchi identities for the Riemann tensor in conjunction with the Einstein equations, we construct a first order symmetric hyperbolic system for the evolution part of the Cauchy problem of general relativity.
Anderson, Arlen +2 more
core +2 more sources

