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pro vyhledávání: '"Henry J. Ricardo"'
Autor:
Henry J. Ricardo
This chapter introduces the basic concepts of differential equations and their solutions. Initial-value problems (IVPs) and boundary-value problems (BVPs) are discussed, but the rest of the text focuses mainly on IVPs.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::35aad5689fa54de6110234cc0d7633a7
https://doi.org/10.1016/b978-0-12-818217-8.00008-7
https://doi.org/10.1016/b978-0-12-818217-8.00008-7
Autor:
Henry J. Ricardo
This chapter treats the numerical approximation of solutions of first-order differential equations, including stiff differential equations. The methods discussed and analyzed are the Euler method, the backward Euler method, the improved Euler method,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6deee323a6bb5fe68a6a45a8d0ccc7f7
https://doi.org/10.1016/b978-0-12-818217-8.00010-5
https://doi.org/10.1016/b978-0-12-818217-8.00010-5
Autor:
Henry J. Ricardo
The Laplace transform and its inverse are introduced and applied to linear differential equations and systems of linear equations. Transforms of discontinuous functions and impulse functions are treated, as is the convolution of two functions. Finall
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4eee43e8c311bcb9e9772b6a13c3ae52
https://doi.org/10.1016/b978-0-12-818217-8.00012-9
https://doi.org/10.1016/b978-0-12-818217-8.00012-9
Autor:
Henry J. Ricardo
Publikováno v:
A Modern Introduction to Differential Equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::61251cd9909885db056b45fe5dd8c648
https://doi.org/10.1016/b978-0-12-818217-8.00009-9
https://doi.org/10.1016/b978-0-12-818217-8.00009-9
Autor:
Henry J. Ricardo
This chapter deals mainly with methods of solving second-order homogeneous and nonhomogeneous linear equations with constant coefficients. The characteristic equation and its roots are shown to yield explicit solutions of homogeneous equations, where
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f2b5554bcdbfc815242aa48be3285690
https://doi.org/10.1016/b978-0-12-818217-8.00011-7
https://doi.org/10.1016/b978-0-12-818217-8.00011-7
Autor:
Henry J. Ricardo
Publikováno v:
A Modern Introduction to Differential Equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5fe83c1e58a7e696a16da881ee24046d
https://doi.org/10.1016/b978-0-12-818217-8.00014-2
https://doi.org/10.1016/b978-0-12-818217-8.00014-2
Autor:
Henry J. Ricardo
Publikováno v:
A Modern Introduction to Differential Equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d80403d99ba354e5dbd9a921d08d96b4
https://doi.org/10.1016/b978-0-12-818217-8.00013-0
https://doi.org/10.1016/b978-0-12-818217-8.00013-0
Autor:
Henry J. Ricardo
A Modern Introduction to Differential Equations, Second Edition, provides an introduction to the basic concepts of differential equations. The book begins by introducing the basic concepts of differential equations, focusing on the analytical, graphi
Autor:
Henry J. Ricardo, Steven Schwartzman
Publikováno v:
The American Mathematical Monthly. 102:563