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Titlebook: A First Course in Ordinary Differential Equations; Analytical and Numer Martin Hermann,Masoud Saravi Textbook 2014 Springer India 2014 Diff

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楼主: 债权人
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Physiologie des Wachstumshormons,c functions. Then, the Laplace transforms of derivatives and integrals, the derivatives and integrals of the Laplace transforms, as well the convolution theorem are presented. It is shown how the Laplace transform can be used to solve scalar differential equations.
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Vertheidigungs-Rede des Angeschuldigten,ace transforms are presented. For larger systems, the matrix-vector notation is used and the solution of the homogeneous system is represented on the basis of the eigenvalues of the corresponding characteristic equation. For the determination of a particular solution of the inhomogeneous system, the
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https://doi.org/10.1007/978-3-642-52010-5uations are studied. Starting with the concept of discretizing differential equations, the class of Runge-Kutta methods is introduced. The Butcher schemes of a variety of Runge-Kutta methods are given. Further topics are consistency, convergence, estimation of the local discretization error, step-si
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https://doi.org/10.1007/978-3-642-52010-5ry value problem and the classification of the boundary conditions in separated, non-separated, and partially separated conditions, the simple shooting method is presented. Then, the method of complementary functions is derived from the simple shooting method under the assumption that the boundary c
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https://doi.org/10.1007/978-3-642-52010-5uations are studied. Starting with the concept of discretizing differential equations, the class of Runge-Kutta methods is introduced. The Butcher schemes of a variety of Runge-Kutta methods are given. Further topics are consistency, convergence, estimation of the local discretization error, step-size control, A-stability, and stiffness.
发表于 2025-3-26 05:41:52 | 显示全部楼层
Martin Hermann,Masoud SaraviPresents a modern introduction to analytical and numerical techniques for solving ordinary differential equations.Provides a variety of problems to help students test and deepen their knowledge.A valu
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Michael Uebele Dr. rer. physiol.In Chap. 1 ordinary differential equations are introduced through some examples. Elements from the theory that will be worked out in more detail in later sections and chapters are presented. The classification of differential equations into initial and boundary value problems is described.
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