ADAM algorithm

Perrv, S. G., Bums, D. J., Adams, L. A., Paine, R. J., Dennis, M. G., Mills, M. T., Strimaitis, D. G., Yamartino, R. J., and Insley, E. M., "User s Guide to the Complex Terrain Dispersion Model plus Algorithms for Unstable Conditions (CTDMPLUS)," Vol. I "Model Description and User Instructions," EPA/600/8-89/041, U.S. Environmental Protection Agency, Research Triangle Park, NC, 1989. 

The Gear Algorithm [15], based on the Adams formulas, adjusts both the order and mesh size to produce the desired local truncation error. BuUrsch and Sloer method [16, 22] is capable of producing accurate solutions using step sizes that arc much smaller than conventional methods. Packaged Fortran subroutines for both methods are available. 

Adams, J. J. Bachu, S. 2002. Equations of state for basin geofluids algorithm review and intercomparison for brines. Geofluids, 2. 257 - 271. 

Adams and Allen [104] combined a variable selection algorithm with PLS in order to quantify nine metals in certified geological materials using X-ray fluorescence. It was found that PLS models outperformed the MLR approaches. 

Automated software algorithms such as Waters MetaboLynx Application-Manager detects putative biotransformations for expected and unexpected putative metabolites (Nassar and Adams, 2003 Mortishire-Smith et al., 2005). The Application-Manager automatically runs samples scheduled for analysis by LC-MS and processes the resulting data (Fig. 4.12). Results are reported via a data browser that enables the chromatographic and mass spectrometric evidence that supports each automated metabolic assignment. 

A U. S. national biogenic sulfur emissions inventory with county spatial and monthly temporal scales has been developed using temperature dependent emission algorithms and available biomass, land use and climatic data. Emissions of dimethyl sulfide (DMS), carbonyl sulfide (COS), hydrogen sulfide (H2S), carbon disulfide (CS2), and dimethyl disulfide (DMDS) were estimated for natural sources which include water and soil surfaces, deciduous and coniferous leaf biomass, and agricultural crops. The best estimate of 16100 MT of sulfur per year was predicted with emission algorithms developed from emission rate data reported by Lamb et al. (1) and is a factor of 22 lower than an upper bound estimate based on data reported by Adams et al. 

Emission Rate Algorithms. In order to compile a natural emissions inventory, emission rate functions must be determined for the sources included in the inventory. The emission rate for a specific source will vary depending upon certain environmental conditions. Analyses of sulfur emission measurements collected by Adams et al. (2) and later studies (21.22) suggest that temperature plays an important role in determining sulfur flux. While the mechanisms controlling the release of natural sulfur emissions are not well understood, field observations have demonstrated characteristic trends in temperature-flux patterns. Sulfur emissions tend to increase logarithmically with increasing temperature for normal ambient temperatures (10°C to 35°C). 

If j30 = 0, the method is explicit and the computation of is straightforward. If 30 + 0, the method is implicit because an implicit algebraic equation is to be solved. Usually, two algorithms, a first one explicit and called the predictor, and a second one implicit and called the corrector, are used simultaneously. The global method is called a predictor-corrector method as, for example, the classical fourth-order Adams method, viz. 

The initial value problem, Eqs. 1-3, can be integrated by any marching algorithm which is based on the Runge-Kutta or Adams-Moulton techniques. Based on the calculated space profiles of C,... 

Adam B-L, Qu, Y., Davis, J. W., Ward, M. D., Clements, M. A., Cazares, L. H., Semmes, O. J., Schellhammer, P. F., Yasui, Y., Feng, Z., etal. (2002). Serum protein fingerprinting coupled with a pattern-matching algorithm distinguishes prostate cancer from benign prostate hyperplasia and healthy men. Cancer Res. 62, 3609-3614. 

Adam B-L, Qu Y, Davies JW, et al Serum protein fingerprinting coupled with a pattern-matching algorithm distinguishes prostate cancer from benign prostate hyperplasia and healthy men. Cancer Res 2002 62 3609-14. 

The Computational Crystallography Toolbox crystallographic algorithms in a reusable software framework, R. W. Grosse Kunstleve, N. K. Sauter, N. W. Moriarty, P. D. Adams, J. Appl. Crystallogr., 2002, 35, 126 136 A real space computer based... 

The predictor calls for four previous values in Adams-Moulton and Milne s algorithms. We obtain these by the fourth-order Runge-Kutta method. Also, we can reduce the step size to improve the accuracy of these methods. Milne s method is unstable in certain cases because the errors do not approach zero as we reduce the step size, h. Because of this instability, the method of Adams-Moulton is more widely used. 

While the initial DOCK algorithm uses volume as the feature to be matched, other approaches use chemical interactions. Mizutani et al. [34] presented the program ADAM in which hydrogen bonding is the feature used for matching. Possible matchings are enumerated and filtered based on distance compatibility. 

J.P. Killingbeck, Microcomputer Algorithms Action from Algebra, Adam Hilger, Bristol, 1991. 

For stiff differential equations, the backward difference algorithm should be preferred to the Adams-Moulton method. The well-known code LSODE with different options was published in 1980 s by Flindmarsh for the solution of stiff differential equations with linear multistep methods. The code is very efficient, and different variations of it have been developed, for instance, a version for sparse systems (LSODEs). In the international mathematical and statistical library, the code of Hindmarsh is called IVPAG and DIVPAG. 

The two equations, [53] and [55], form a system of coupled ODEs with the variable z playing the role of the independent variable. Given initial conditions at a point Zq these equations can be solved by standard numerical routines such as those discussed in the previous section. Because much computational effort is required to evaluate each p, at each increment of the independent variable z, a method that does not require too many evaluations of the right hand side of the iterative equation is desirable. Usually, a simple forward Euler routine is quite adequate for these purposes. If a multistep algorithm is used, the Adams-Bashforth method has been recommended by Kubicek and Marek the first-order Adams-Bashforth algorithm is, in fact, equivalent to the simple forward Euler algorithm. 

Hockne) R. W., and C. R. Jesshope. Parallel Computers 2 Architecture, Programming and Algorithms. Bristol lOP Publishing/Adam Hilger, 1988. 

For example, the trapezium algorithm, also called the Crank-Nicolson or the second-order Adams-Moulton ... 

The third-order exphcit multistep algorithm by Adams-Bashforth ... 

Figure 2.5 Stability region of the third-order Adams-Bashforth algorithm.

The third-order implicit Adams-Moulton algorithm ... 

For example, the following third-order Adams-Bashforth algorithm is explicit ... 

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