What every computer scientist should know about floating-point arithmetic
ACM Computing Surveys (CSUR)
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
A comparison of some methods for the evaluation of highly oscillatory integrals
Journal of Computational and Applied Mathematics - Numerical evaluation of integrals
Gauss-Legendre Principal Value Integration
Computing in Science and Engineering
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
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This installment of Computing Prescriptions illustrates how complex arithmetic can simplify algorithms in two-dimensional Cartesian vector space as well as how to make difficult numerical integrals tractable. In other words, computer languages for scientific applications should support complex arithmetic.