Error evaluation for difference approximations to ordinary differential equations

Method involves relationships between errors introduced by using finite sampling rates and parameters describing specific numerical method used. Procedurre is used in design and analysi of digital filters and simulators

Sampling errors in closed loop hybrid computer programs

Sampling errors in closed loop hybrid computer program

Errors in hybrid computers

Method is described for reduction of error components in numerical integration, sampling with zero hold order, and execution time delay

Hybrid computer techniques for solving partial differential equations

Techniques overcome equipment limitations that restrict other computer techniques in solving trivial cases. The use of curve fitting by quadratic interpolation greatly reduces required digital storage space

Difference equations to approximate ordinary differential equations

Difference equations for approximating ordinary differential equation

Generation and measurement of nonstationary random processes technical note no. 3

Generation and measurement of nonstationary stochastic processes related to Monte Carlo studies with analog compute

The Clean Power Plan: Testing the Limits of Administrative Law and the Electric Grid

The Environmental Protection Agency’s (EPA) Clean Power Plan (CPP) is one of the most controversial and highest-stake rules ever issued by any agency. Proponents of the rule maintain that it is essential to mitigating the potentially devastating effects of climate change. Opponents, by contrast, argue that it is unlikely to be effective for its intended purpose and that it jeopardizes the reliability of the electricity grid. We are in the awkward position of agreeing with both the proponents and the opponents of the CPP. We want the rule to succeed in accomplishing its intended purpose but we fear that it may have serious unintended adverse effects on the performance of the U.S. electricity grid. Further, we have serious concerns about the ability of administrative law doctrine to manage the litigation that is to come. In this Essay, we consider four issues that have not yet attracted the attention and analysis they deserve: (1) the administrative law issues related to EPA’s statutory authority; (2) what remedy a court should provide at various procedural postures if it detects or believes likely a fatal error in the CPP or the process through which it was issued; (3) the implementation challenges associated with the intermittent nature of the electricity supplies that EPA expects utilities to substitute for the fossil fuels that now provide most of the nation’s electricity; and (4) the implementation challenges associated with the risk that some approaches for state compliance may be preempted by the Federal Power Act (FPA)

Supreme Court Brief Amicus Curiae of Administrative Law Scholars in Support of Neither Party

This brief on behalf of 29 administrative law scholars takes no position on whether Administrative Law Judges (ALJs) are employees or inferior officers. It urges the Court to issue an opinion that respects the decision that Congress made unanimously in 1946 to enact numerous statutory safeguards that assure that ALJs have decisional independence from the agencies where they work while assuring that agencies retain control over the policy content and legal basis for any decision made in an adjudication in which an ALJ presides. The brief describes the fifteen years of study and deliberation that led to the unanimous decision of Congress to enact the Administrative Procedure Act (APA) in 1946. It describes the particular attention that Congress devoted to the critical task of providing ALJs with the combination of statutory safeguards that minimize the risk that they will favor the agencies for whom they adjudicate cases while assuring that the agencies retain control of the policy content of any decision made in such an adjudication. It then describes the series of opinions the Supreme Court issued during the 1950s in which the Justices unanimously praised the provisions of the APA that assure that ALJs conduct adjudicatory hearings in an unbiased manner, explained the importance of those statutory provisions in protecting the values reflected in the Due Process Clause, and urged Congress to make those safeguards applicable to all agency adjudications. It concludes by urging the Court to issue an opinion that respects the decision that Congress made in 1946 to insulate ALJs from potential sources of pro-agency bias by including in the APA a combination of provisions that confer decisional independence on ALJs

Explicitly correlated trial wave functions in Quantum Monte Carlo calculations of excited states of Be and Be-

We present a new form of explicitly correlated wave function whose parameters are mainly linear, to circumvent the problem of the optimization of a large number of non-linear parameters usually encountered with basis sets of explicitly correlated wave functions. With this trial wave function we succeeded in minimizing the energy instead of the variance of the local energy, as is more common in quantum Monte Carlo methods. We applied this wave function to the calculation of the energies of Be 3P (1s22p2) and Be- 4So (1s22p3) by variational and diffusion Monte Carlo methods. The results compare favorably with those obtained by different types of explicitly correlated trial wave functions already described in the literature. The energies obtained are improved with respect to the best variational ones found in literature, and within one standard deviation from the estimated non-relativistic limitsComment: 19 pages, no figures, submitted to J. Phys.