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Diagonally Implicit Runge-Kutta Methods for Sol...
58,99 € *
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Diagonally Implicit Runge-Kutta Methods for Solving Linear ODEs ab 58.99 € als Taschenbuch: Numerical Methods for ODEs. Aus dem Bereich: Bücher, Wissenschaft, Mathematik,

Anbieter: hugendubel
Stand: 01.10.2020
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Numerical Solution of Ordinary and Delay Differ...
79,90 € *
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The main contribution of this work is illustrated as follows: 1- The derivation for embedded singly diagonally implicit Runge-Kutta (SDIRK) method of fourth-order six stages in fifth-order seven stages is introduced to solve ordinary and delay differential equations. The stability region is presented and the numerical results are compared with the other existing methods. 2- Singly diagonally implicit Runge-Kutta Nystróm (SDIRKN) of third-order three stages embedded in fourth-order four stages is constructed. The stability region of the new method is presented and numerical results are compared with the same method of lower order. 3- A new singly diagonally implicit Runge-Kutta-Nystróm general (SDIRKNG) method of third-order embedded in fourth-order is derived to solve second order ordinary differential equations. Analysis the stability region of the new method is discussed and numerical results are presented.

Anbieter: Dodax
Stand: 01.10.2020
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Diagonally Implicit Runge-Kutta Methods for Sol...
59,00 € *
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This book deals with the derivation of diagonally implicit Runge-Kutta (DIRK) methods of order four and five which are specially designed for the integration of linear ordinary differential equations (LODEs). The restriction to LODEs with constant coefficients reduces the number of order equations which the coefficients of Runge-Kutta (RK) methods must satisfy. The coefficients of the RK methods are chosen such that the error norm is minimized, this resulted in methods which are almost one order higher than the actual order. The stability polynomials and stability regions of the methods are then obtained using MATHEMATICA package. Codes using C++ programming based on the methods are developed to test sets of problems on linear ordinary differential equations. Numerical results show that the new methods are more efficient than the existing methods.

Anbieter: Dodax
Stand: 01.10.2020
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Hamilton-Jacobi-Bellman Equations
119,95 € *
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Optimal feedback control arises in different areas such as aerospace engineering, chemical processing, resource economics, etc. In this context, the application of dynamic programming techniques leads to the solution of fully nonlinear Hamilton-Jacobi-Bellman equations. This book presents the state of the art in the numerical approximation of Hamilton-Jacobi-Bellman equations, including post-processing of Galerkin methods, high-order methods, boundary treatment in semi-Lagrangian schemes, reduced basis methods, comparison principles for viscosity solutions, max-plus methods, and the numerical approximation of Monge-Ampère equations. This book also features applications in the simulation of adaptive controllers and the control of nonlinear delay differential equations. Contents From a monotone probabilistic scheme to a probabilistic max-plus algorithm for solving Hamilton-Jacobi-Bellman equations Improving policies for Hamilton-Jacobi-Bellman equations by postprocessing Viability approach to simulation of an adaptive controller Galerkin approximations for the optimal control of nonlinear delay differential equations Efficient higher order time discretization schemes for Hamilton-Jacobi-Bellman equations based on diagonally implicit symplectic Runge-Kutta methods Numerical solution of the simple Monge-Ampere equation with nonconvex Dirichlet data on nonconvex domains On the notion of boundary conditions in comparison principles for viscosity solutions Boundary mesh refinement for semi-Lagrangian schemes A reduced basis method for the Hamilton-Jacobi-Bellman equation within the European Union Emission Trading Scheme

Anbieter: Dodax
Stand: 01.10.2020
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General Linear Methods for Ordinary Differentia...
125,00 CHF *
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Learn to develop numerical methods for ordinary differentialequations General Linear Methods for Ordinary Differential Equations fillsa gap in the existing literature by presenting a comprehensive andup-to-date collection of recent advances and developments in thefield. This book provides modern coverage of the theory,construction, and implementation of both classical and moderngeneral linear methods for solving ordinary differential equationsas they apply to a variety of related areas, including mathematics,applied science, and engineering. The author provides the theoretical foundation for understandingbasic concepts and presents a short introduction to ordinarydifferential equations that encompasses the related concepts ofexistence and uniqueness theory, stability theory, and stiffdifferential equations and systems. In addition, a thoroughpresentation of general linear methods explores relevant subtopicssuch as pre-consistency, consistency, stage-consistency, zerostability, convergence, order- and stage-order conditions, localdiscretization error, and linear stability theory. Subsequentchapters feature coverage of: * Differential equations and systems * Introduction to general linear methods (GLMs) * Diagonally implicit multistage integration methods (DIMSIMs) * Implementation of DIMSIMs * Two-step Runge-Kutta (TSRK) methods * Implementation of TSRK methods * GLMs with inherent Runge-Kutta stability (IRKS) * Implementation of GLMs with IRKS General Linear Methods for Ordinary Differential Equations is anexcellent book for courses on numerical ordinary differentialequations at the upper-undergraduate and graduate levels. It isalso a useful reference for academic and research professionals inthe fields of computational and applied mathematics, computationalphysics, civil and chemical engineering, chemistry, and the lifesciences.

Anbieter: Orell Fuessli CH
Stand: 01.10.2020
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Numerical Solution of Ordinary and Delay Differ...
71,99 € *
ggf. zzgl. Versand

The main contribution of this work is illustrated as follows: 1- The derivation for embedded singly diagonally implicit Runge-Kutta (SDIRK) method of fourth-order six stages in fifth-order seven stages is introduced to solve ordinary and delay differential equations. The stability region is presented and the numerical results are compared with the other existing methods. 2- Singly diagonally implicit Runge-Kutta Nystróm (SDIRKN) of third-order three stages embedded in fourth-order four stages is constructed. The stability region of the new method is presented and numerical results are compared with the same method of lower order. 3- A new singly diagonally implicit Runge-Kutta-Nystróm general (SDIRKNG) method of third-order embedded in fourth-order is derived to solve second order ordinary differential equations. Analysis the stability region of the new method is discussed and numerical results are presented.

Anbieter: Thalia AT
Stand: 01.10.2020
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General Linear Methods for Ordinary Differentia...
114,99 € *
ggf. zzgl. Versand

Learn to develop numerical methods for ordinary differentialequations General Linear Methods for Ordinary Differential Equations fillsa gap in the existing literature by presenting a comprehensive andup-to-date collection of recent advances and developments in thefield. This book provides modern coverage of the theory,construction, and implementation of both classical and moderngeneral linear methods for solving ordinary differential equationsas they apply to a variety of related areas, including mathematics,applied science, and engineering. The author provides the theoretical foundation for understandingbasic concepts and presents a short introduction to ordinarydifferential equations that encompasses the related concepts ofexistence and uniqueness theory, stability theory, and stiffdifferential equations and systems. In addition, a thoroughpresentation of general linear methods explores relevant subtopicssuch as pre-consistency, consistency, stage-consistency, zerostability, convergence, order- and stage-order conditions, localdiscretization error, and linear stability theory. Subsequentchapters feature coverage of: * Differential equations and systems * Introduction to general linear methods (GLMs) * Diagonally implicit multistage integration methods (DIMSIMs) * Implementation of DIMSIMs * Two-step Runge-Kutta (TSRK) methods * Implementation of TSRK methods * GLMs with inherent Runge-Kutta stability (IRKS) * Implementation of GLMs with IRKS General Linear Methods for Ordinary Differential Equations is anexcellent book for courses on numerical ordinary differentialequations at the upper-undergraduate and graduate levels. It isalso a useful reference for academic and research professionals inthe fields of computational and applied mathematics, computationalphysics, civil and chemical engineering, chemistry, and the lifesciences.

Anbieter: Thalia AT
Stand: 01.10.2020
Zum Angebot