Randomized and quantum algorithms for solving initial-value problems in ordinary differential equations of order k
The complexity of initial-value problems is well studied for systems of equations of first order. In this paper, we study the \(\varepsilon\)-complexity for initial-value problems for scalar equations of higher order. We consider two models of computation, the randomized model and the quantum model....
Main Authors: | Maciej Goćwin, Marek Szczęsny |
---|---|
Format: | Article |
Language: | English |
Published: |
AGH Univeristy of Science and Technology Press
2008-01-01
|
Series: | Opuscula Mathematica |
Subjects: | |
Online Access: | http://www.opuscula.agh.edu.pl/vol28/3/art/opuscula_math_2819.pdf |
Similar Items
-
Variable order block method for solving second order ordinary differential equations
by: Ibrahim, Z.B, et al.
Published: (2019) -
Variable Order Block Method for Solving Second Order Ordinary Differential Equations
by: Ibrahim, ZB, et al.
Published: (2019) -
Solving third order ordinary differential equations directly using hybrid numerical models
by: J. O. Kuboye, et al.
Published: (2020-05-01) -
Efficient <i>k</i>-Step Linear Block Methods to Solve Second Order Initial Value Problems Directly
by: Higinio Ramos, et al.
Published: (2020-10-01) -
New Generalized Algorithm for Developing k-Step Higher Derivative Block Methods for Solving Higher Order Ordinary Differential Equations
by: Oluwaseun Adeyeye, et al.
Published: (2018-03-01)