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A solution to some algebraic equation is said to be consistent if _________

A solution to some algebraic equation is said to be consistent if _________ Correct Answer the numerical solution approaches the exact solution when time step and grid spacing tends to zero

A solution to some discretized algebraic equation is said to be consistent if that solution approaches the exact solution of the partial differential equation when time step and grid spacing are very small.

Related Questions

A 60% spirit solution is mixed with r% spirit solution in the ratio 1 : 3 such that a s% spirit solution is obtained. When a (s/3)% spirit solution is mixed with 55% spirit solution in equal ratio, an (r/2)% spirit solution is obtained. Which of the following can be determined? (A) Value of ‘r’ (B) Value of ‘s’ (C) Volume of the 60% spirit solution mixed initially (D) If 9 liters of r% spirit solution was mixed initially, what was the volume of the s% spirit solution thus obtained?
A chemical solution appears green when the salt concentration is 8 grams per litre (gpl) and red when it is 10 gpl. Pure water was added to the solution of 1 litre of 15 gpl solution till it turned green. Then 125 ml of the green solution is taken out and x grams of salt is added to the green solution to make it red. Another 500 ml of the final solution was taken out and y litres of green solution is added to get a resultant solution of concentration 9.6 gpl.  Assume adding salt doesn’t change its volume and find the ratio of x and y. 
For the solution of a system of discretized equations with consistent approximations to be consistent, which of these conditions is necessary?
From 600 ml of 40% solution of spirit, some quantity of solution is replaced by 16% solution of spirit. If the mixture so obtained contains 24% solution of spirit, how much solution of 40% spirit was replaced?
In a town fair 50 people were asked which dessert they liked: ice cream, Donuts, or cupcakes. 28 said they like ice cream, 26 said they like donuts, and 26 said they like cupcakes. 8 said they like all three. 17 said they like donuts and cupcakes, 11 said they like ice cream and cupcakes. 5 said they do not like any of these. Find those people who liked ice cream and donuts but not cupcakes.
In the following question below some statements are given followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: No solution is mixture. Each solvent is solute. All solute are solution. Conclusions: I. No solvent is mixture. II. Some solution is solvent. III. Some solute is mixture. 
In the question given below are two conclusions followed by five statements. You have to choose the correct set of statements that logically satisfies conclusions. Conclusions: I. Some Star are Moon II. Some Sun are not Mars Statements: I. Some Sun are Moon, Some Moon are star and No star is Mars. II. Some Sun are Moon, All Moon are Star and No Star is Mars. III. All Sun are Moon, All Moon are Star and Some Star are Mars. IV. All Sun are Moon, Some Moon are Star and No Star is Mars. V. Some Sun are Moon, Some Moon are Star and No Moon is Mars.
Given below are some statements, followed by some conclusions. Assume the facts in the statements to be true and decide which of the conclusions logically follow(s) from the statements. Statement: Some bags are stickers. Some stickers are stamp. Some stamps are paints. Conclusion: 1. Some bags are stamps. 2. Some stickers are paints. 3. Some paints are stamps. 4. Some paints are stickers.
A class III mathematics teacher gave the following questions to her students:  \(\begin{equation} \frac{ \begin{array}[b]{r} 256 \\ + 173 \end{array} }{ } \end{equation}\) \(\begin{equation} \frac{ \begin{array}[b]{r} 28 \\ + 32 \end{array} }{ } \end{equation}\) \(\begin{equation} \frac{ \begin{array}[b]{r} 129 \\ + 76 \end{array} }{ } \end{equation}\) Later she asks the students to solve a worksheet that has similar questions. Which of the following statements is appropriate for the given situation?
In a closed traverse, if Algebraic sum of latitudes ∑L = negative and Algebraic sum of departures ∑D = positive, the whole circle bearing of the error of closure will be between