Concepedia

Automatic computation of partial derivatives and rounding error estimates with applications to large-scale systems of nonlinear equations

Masao Iri, Takashi Tsuchiya, Mamoru Hoshi

Journal of Computational and Applied Mathematics · 1988 · 27 citations · 6 references

Concepts

Natural SciencesMathematicsComputational MechanicsApproximation MethodsError EstimationNumerical AlgorithmsNumerical AnalysisNumerical Methods For Differential EquationsPartial Differential EquationsDiscretization Of Partial Differential EquationsError Estimation For Nonlinear ProblemsNonlinear Equation SolversNumerical Analysis Of Partial Differential EquationsNumerical Solutions Of Partial Differential EquationsPartial DerivativesPartial Differential Equation SolversRound-off Error Analysis

References

6

Rounding errors in algebraic processes

Journal of the Franklin Institute · 1964 · 1.3K citations

Computing, Computer Science, Mathematics +12

The complexity of partial derivatives

Walter Bäur, Volker Strassen · Theoretical Computer Science · 1983 · 482 citations

Natural Sciences, Mathematics, Derivatives +10

A simple automatic derivative evaluation program

R. E. Wengert · Communications of the ACM · 1964 · 389 citations · Full text

Natural Sciences, Computer Science, Mathematics +13

Computational Graphs and Rounding Error

Friedrich L. Bauer · SIAM Journal on Numerical Analysis · 1974 · 103 citations

Computing, Computer Science, Mathematics +11

Simultaneous computation of functions, partial derivatives and estimates of rounding errors —Complexity and practicality—

Masao Iri · Japan Journal of Applied Mathematics · 1984 · 76 citations · Full text

Computing, Computer Science, Mathematics +15