Numerical Solution of Improper Integrals with Valid Implementation
نویسندگان
چکیده
منابع مشابه
Solving Improper Integrals with Maple
This study takes the mathematical software Maple as the auxiliary tool to evaluate some type of improper integrals. We can obtain the infinite series form of this type of improper integrals by using three important methods (i.e., differentiation with respect to a parameter, differentiation term by term, and integration term by term). In addition, we propose two improper integrals to do calculat...
متن کاملNumerical Solution of Integral Equations with Finite Part Integrals
We obtain convergence rates for several algorithms that solve a class of Hadamard singular integral equations using the general theory of approximations for unbounded operators.
متن کاملAdaptive Integration and Improper Integrals
Let R be the class of all functions that are properly Riemann-integrable on [0, 1], and let IR be the class of all functions that are properly Riemann-integrable on [a, 1 ] for all a > 0 and for which
متن کاملComparison theorem for improper integrals
This is a complement to the comparison theorem for improper integrals in the textbook. The vanilla version presented in the textbook is good enough to solve some very easy examples and it becomes exponentially gory with the complexity of the integral. Fortunately it is not hard to refine the statement in the book, and turn it into a powerful tool to estimate the convergence of arbitrarily compl...
متن کاملUsing modified moments for numerical solution of oscillatory integrals
Numerical methods for strongly oscillatory and singular functions are given in this paper. We present an alternative numerical solution for of oscillatory integrals of the general form Where and are smooth functions in the interval [a, b]. Also ε ω and . In order to achieve this goal and avoid singularity, the mentioned integral is solved by the modified moments using interpolating at the Cheby...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical and Computational Applications
سال: 2002
ISSN: 2297-8747
DOI: 10.3390/mca7010083