Numerical methods for integral equations

2021
Integro-differential equations are encountered in various fields of science. It plays an important role in many branches of linear and nonlinear functional analysis and their applications are in Theory of Science, Engineering and Social science.
Tofigh Allahviranloo, Armin Esfandiari
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Numerical Methods for Fredholm Integral Equations

2021
There exists a huge literature on numerical methods for Fredholm integral equations of second kind, where I is a bounded or unbounded interval. The Nystrom method is a very famous method and based on an appropriate quadrature rule applied to the integral and on considering the integral equation in the space of (bounded) continuous functions on I.
Peter Junghanns +2 more
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Path integral numerical methods for evolution equations

Numerical Methods for Partial Differential Equations, 1990
AbstractA universal method for representing solutions of the initial value problem ut = −2πiDu is presented for a large class of pseudo‐differential operators. The representations take the form of a path integral‐like operator. Three numerical approaches for evaluating these operators are treated. Practical interest in such universal methods depends on
Willard L. Miranker, Andrew Winkler
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mathematics
volterra integral equations
collocation method

convergence
fredholm integral equations
other nonlinear integral equations

numerical methods
collocation methods