Numerical Stabilization of Convection-Diffusion
... deal with such situations. These methods add a perturbation term to the weigthing functions with the aim to get an oscillation-free solution. These terms are mesh-dependent and allow to get a consistent and stabilizing numerical scheme. Such methods have grown in popularity, especially in applicati ...
... deal with such situations. These methods add a perturbation term to the weigthing functions with the aim to get an oscillation-free solution. These terms are mesh-dependent and allow to get a consistent and stabilizing numerical scheme. Such methods have grown in popularity, especially in applicati ...
Theory and applications of convex and non-convex
... or reflection operator RC := 2PC − I on a closed convex set C in Hilbert space. These methods work best when the projection on each set Ci is easy to describe or approximate. These methods are especially useful when the number of sets involved is large as the methods are fairly easy to parallelize. ...
... or reflection operator RC := 2PC − I on a closed convex set C in Hilbert space. These methods work best when the projection on each set Ci is easy to describe or approximate. These methods are especially useful when the number of sets involved is large as the methods are fairly easy to parallelize. ...
Solution - SlideBoom
... Solution: Check for bad sectors by using CHDISK or SCANDISK command. If found format the hard disk and set partition before that area. (Note: This is the only procedure to use hard disk with bad sector or to avoid bad sectors use standard power supply) ...
... Solution: Check for bad sectors by using CHDISK or SCANDISK command. If found format the hard disk and set partition before that area. (Note: This is the only procedure to use hard disk with bad sector or to avoid bad sectors use standard power supply) ...
Final Review
... Problem 5. Suppose p : X → Y is a surjective map from a topological space X to a set Y . One can use this to define the quotient topology on Y . Prove that the image of an open subset A ⊂ X under p is open in the quotient topology on Y if A is symmetric with respect to p, which means that: if x ∈ A, ...
... Problem 5. Suppose p : X → Y is a surjective map from a topological space X to a set Y . One can use this to define the quotient topology on Y . Prove that the image of an open subset A ⊂ X under p is open in the quotient topology on Y if A is symmetric with respect to p, which means that: if x ∈ A, ...
An Explicit Rate Bound for the Over-Relaxed ADMM
... As already pointed out in [1], the weakness of Theorem 2 is that τ is not explicitly given as a function of the parameters involved in the problem, namely κ, ρ0 , and α. The factor κP in (7) is also not explicitly given. Therefore, for given values of these parameters one must perform a numerical se ...
... As already pointed out in [1], the weakness of Theorem 2 is that τ is not explicitly given as a function of the parameters involved in the problem, namely κ, ρ0 , and α. The factor κP in (7) is also not explicitly given. Therefore, for given values of these parameters one must perform a numerical se ...
AR Chemistry Notes: Solutions
... Most chemical reactions release too much energy when pure samples are mixed together (explosions). To control chemical reactions, most chemicals are dissolved in water to reduce the explosiveness of the reaction. Solutions: two or more materials that are evenly mixed at the molecular level (homogene ...
... Most chemical reactions release too much energy when pure samples are mixed together (explosions). To control chemical reactions, most chemicals are dissolved in water to reduce the explosiveness of the reaction. Solutions: two or more materials that are evenly mixed at the molecular level (homogene ...
Multiple-criteria decision analysis
Multiple-criteria decision-making or multiple-criteria decision analysis (MCDA) is a sub-discipline of operations research that explicitly considers multiple criteria in decision-making environments. Whether in our daily lives or in professional settings, there are typically multiple conflicting criteria that need to be evaluated in making decisions. Cost or price is usually one of the main criteria. Some measure of quality is typically another criterion that is in conflict with the cost. In purchasing a car, cost, comfort, safety, and fuel economy may be some of the main criteria we consider. It is unusual that the cheapest car is the most comfortable and the safest one. In portfolio management, we are interested in getting high returns but at the same time reducing our risks. Again, the stocks that have the potential of bringing high returns typically also carry high risks of losing money. In a service industry, customer satisfaction and the cost of providing service are two conflicting criteria that would be useful to consider.In our daily lives, we usually weigh multiple criteria implicitly and we may be comfortable with the consequences of such decisions that are made based on only intuition. On the other hand, when stakes are high, it is important to properly structure the problem and explicitly evaluate multiple criteria. In making the decision of whether to build a nuclear power plant or not, and where to build it, there are not only very complex issues involving multiple criteria, but there are also multiple parties who are deeply affected from the consequences.Structuring complex problems well and considering multiple criteria explicitly leads to more informed and better decisions. There have been important advances in this field since the start of the modern multiple-criteria decision-making discipline in the early 1960s. A variety of approaches and methods, many implemented by specialized decision-making software, have been developed for their application in an array of disciplines, ranging from politics and business to the environment and energy.