Direct Method

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Related to Direct Method: Indirect method
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Direct Method


in mathematics, a type of method for the solution of problems of mathematical analysis. Usually classed as direct methods are methods for solving, for example, differential equations, integral equations, integro-differential equations, and variational problems by means of the construction of a sequence of functions (or systems of functions) that converge to the solution of a simpler problem; this simpler problem generally, in the limit, coincides with the given problem. Direct methods are used most often for the approximate solution of problems in mathematical analysis. They are sometimes also used to find exact solutions and to prove existence theorems for solutions.

Examples of direct methods are finite-difference methods for solving differential, integral, and integro-differential equations; the Euler method for solving problems in the calculus of variations; the Ritz method and the method of steepest descents, which are used to solve variational problems and problems that reduce to variational problems; and the Galerkin method, which is used to solve many boundary-value problems, including those that do not reduce to variational problems.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
Only one side of the acoustic medium can be coupled in a structural acoustic analysis when the direct method is used.
This article examines three major criticisms of the direct method compared with the performance of DCF analysis.
As a result, credit analysts may not have access to the information disclosed under the direct method. This information is particularly useful in estimating future cash flows, assessing earnings quality, and predicting bankruptcy.
Under the gross direct method, the value of sales to business consumers and final consumers--households, government, and foreigners--is calculated as the sum of service charges and interest received by banks from these customers (foreign interest only being net and representing net financial exports).
This service is the only direct method of transport between Paisley and Inchinnan for the villages, as well as the only regular hourly service for those travelling to Johnstone.
The hypotheses tested in this experiment were: i) DE, ME and the digestibility of the chemical constituents in wheat would be higher when determined by the direct method because of the higher components contribution providing by wheat and lower acid detergent fiber (ADF) contents in diets; ii) DE, ME and digestibility of nutrients will be improved by decreasing particle size; iii) DE, ME, and digestibility of wheat was similar after a 26 d adaptation compared with 7 d of adaptation, because of the positive effect of digestive enzymes and the contrary effect of wheat mucedin.
FASB's Accounting Standards Update (ASU) 2016-14, Presentation of Financial Statements of Not-for-Profit Entities, removes the requirement that not-for-profit (NFP) entities that choose to prepare the statement of cash flows using the direct method must also present a reconciliation (the indirect method).
FASB, and certain users, have always preferred reporting operating activities using the direct method, in which the major classes of operating cash receipts and payments are reported.
For the zinc phases, obtained by the direct method, both the samples containing stearate and azelate exhibited thermal decomposition until 552[degrees]C, with char residue of 43.8% and 41.3%, respectively.
The direct method comes from mastering the first two parts of SCARF, skills and comprehension (Tactical Dispositions, pg.
What to know: ASU 2016-14 eliminates the requirement to provide a reconciliation from the direct method to the indirect method when presenting the statement of cash flows using the direct method.

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