The Finite Element Method is a well-studied and well-understood method of solving partial differential equations. It's applicability to financial models formulated as PDEs is demonstrated. It's advantage concerning the computation of accurate "Greeks" is delineated. This is demonstrated with...

Ein wichtiges Gebiet der Finanzmathematik ist die Bestimmung von Auszahlungsprofilen, die den erwarteten Nutzen eines Agenten unter einer Budgetrestriktion maximieren. Wir charakterisieren optimale Auszahlungsprofile für einen Agenten, der unsicher ist in Bezug auf das genaue Marktmodell. Der...

Purpose: to reduce operating costs when performing agricultural mechanized work. Design/methodology/approach: The development of the desired economic and mathematical model of the optimal MTA distribution by type of work is based on the above condition it is necessary to plan the work of not...

This study evaluates linear programming (LP) and positive mathematical programming (PMP) approaches for 3,400 farm-level models implemented in the SWISSland agent-based agricultural sector model. To overcome limitations of PMP regarding the modelling of investment decisions, we further...

Water is a key input to agricultural production and therefore fluctuations in water availability may impact agricultural productivity and revenue. Climate science tells us that most of these fluctuations are increasingly resulting from intra-year, instead of interyearly, shifts in the timing and...

The scope of the discipline of Operations Research or Mathematical Programming is not limited to only business management sciences; its application has vastly been extended to many other fields including farming. This paper uses one of the techniques of this mathematical management tool –...