we develop and apply the product integration method to a large class of linear weakly singular volterra systems. we show that under certain sufficient conditions this method converges. numerical implementation of the method is illustrated by a benchmark problem originated from heat conduction.

selecting an appropriate manufacturing machine is a very important and complex problem for firms, which usually have to deal with both qualitative and quantitative criteria. taking into account the differences among machines in terms of cost, speed, quality and after sale services, type and number of machines are important parameters to consider. therefore, the goal of this paper is to propose ...

the classical control charts by using precise and specified data divide the production process into two groups: in-control or out of control, while the fuzzy sets with the definition continuous and cohesive membership functions and also using ambiguous and vague fuzzy numbers (triangular and trapezoid), it introduces different levels of decisions for the decision makers. in this paper, using th...

0

Compact finite difference scheme is applied for a partial integro-differential equation with a weakly singular kernel. The product trapezoidal method is applied for discretization of the integral term. The order of accuracy in space and time is , where . Stability and convergence in  norm are discussed through energy method. Numerical examples are provided to confirm the theoretical prediction ...

Risk assessments performed at the conceptual design phase of a product may offer the greatest opportunity to increase product safety and reliability at the least cost. This is an especially difficult proposition, however, as often the product has not assumed a physical form at this early design stage. This paper introduces the Risk in Early Design (RED) method, a method for performing risk asse...

Selecting an appropriate manufacturing machine is a very important and complex problem for firms, which usually have to deal with both qualitative and quantitative criteria. Taking into account the differences among machines in terms of cost, speed, quality and after sale services, type and number of machines are important parameters to consider. Therefore, the goal of thi...

Selecting an appropriate manufacturing machine is a very important and complex problem for firms, which usually have to deal with both qualitative and quantitative criteria. Taking into account the differences among machines in terms of cost, speed, quality and after sale services, type and number of machines are important parameters to consider. Therefore, the goal of thi...

Promoting quality within the context of agile software development, it is extremely important as well useful to improve not only knowledge and decision-making project managers, product owners, assurance leaders but also support communication between teams. In this context, needs be visible in a synthetic intuitive way order facilitate decision accepting or rejecting each iteration life cycle. T...