Bounds and Inequalities
For all the pessimism of Lord Russell, there seems little doubt that a search for an approximate solution, where an exact solution cannot be obtained, is both theoretically defensible and practically unavoidable. This fact, however, does not absolve us from the obligation of estimating the error of the approximation solution, either by a direct computation or, more often, by finding the so-called bounds. In this chapter, we devote our attention to the second question, by examining some methods of constructing bounds for solutions of boundary value problems.
KeywordsNeumann Problem Preceding Equation Orthonormal Vector Trigonometric Fourier Series Foregoing Equation
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