Collocation Methods for Volterra Integral and Related Functional Differential Equations (Cambridge Monographs on Applied and Computational Mathematics)
Publisher: Cambridge University Press
Published: November 15, 2004
Language: eng
Format: Hardcover
Number of pages: 597
ISBN-13: 9780521806152
Subjects: Integral equations; Science/Mathematics; General; Mathematics; Volterra equations; Calculus; Differential Equations; Mathematics / Mathematical Analysis; Collocation methods; Numerical solutions
First sentence: A collocation solution Uh to a functional equation (for example an ordinary differential equation or a Volterra integral equation) on an interval is an element from some finite-dimensional function space (the collocation space) which satisfies the equation on an appropriate finite subset of points in 1 (the set of collocation points) whose cardinality essentially matches the dimension of the collocation space.