Implementation of interval arithmetic in complex problems has been hampered by the tedious programming exercise needed to\r\ndevelop a particular implementation. In order to improve productivity, the use of interval mathematics is demonstrated using\r\nthe computing platform INTLAB that allows for the development of interval-arithmetic-based programs more efficiently than\r\nwith previous interval-arithmetic libraries. An interval-Newton Generalized-Bisection (IN/GB) method is developed in this\r\nplatform and applied to determine the solutions of selected nonlinear problems. Cases 1 and 2 demonstrate the effectiveness of\r\nthe implementation applied to traditional polynomial problems. Case 3 demonstrates the robustness of the implementation in\r\nthe case of multiple specific volume solutions. Case 4 exemplifies the robustness and effectiveness of the implementation in the\r\ndetermination ofmultiple critical points for a mixture of methane and hydrogen sulfide.The examples demonstrate the effectiveness\r\nof the method by finding all existing roots with mathematical certainty.
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