Hamilton-Jacobi-Bellman Equations : : Numerical Methods and Applications in Optimal Control / / ed. by Dante Kalise, Zhiping Rao, Karl Kunisch.
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...
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Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2018] ©2018 |
Year of Publication: | 2018 |
Language: | English |
Series: | Radon Series on Computational and Applied Mathematics ,
21 |
Online Access: | |
Physical Description: | 1 online resource (XII, 197 p.) |
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LEADER | 08919nam a22012015i 4500 | ||
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072 | 7 | |a MAT041000 |2 bisacsh | |
245 | 0 | 0 | |a Hamilton-Jacobi-Bellman Equations : |b Numerical Methods and Applications in Optimal Control / |c ed. by Dante Kalise, Zhiping Rao, Karl Kunisch. |
264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2018] | |
264 | 4 | |c ©2018 | |
300 | |a 1 online resource (XII, 197 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
490 | 0 | |a Radon Series on Computational and Applied Mathematics , |x 1865-3707 ; |v 21 | |
505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t List Of Contributing Authors -- |t 1. From A Monotone Probabilistic Scheme To A Probabilistic Max-Plus Algorithm For Solving Hamilton–Jacobi–Bellman Equations -- |t 2. Improving Policies For Hamilton–Jacobi–Bellman Equations By Postprocessing -- |t 3. Viability Approach To Simulation Of An Adaptive Controller -- |t 4. Galerkin Approximations For The Optimal Control Of Nonlinear Delay Differential Equations -- |t 5. Efficient Higher Order Time Discretization Schemes For Hamilton–Jacobi–Bellman Equations Based On Diagonally Implicit Symplectic Runge–Kutta Methods -- |t 6. Numerical Solution Of The Simple Monge–Ampère Equation With Nonconvex Dirichlet Data On Nonconvex Domains -- |t 7. On The Notion Of Boundary Conditions In Comparison Principles For Viscosity Solutions -- |t 8. Boundary Mesh Refinement For Semi-Lagrangian Schemes -- |t 9. A Reduced Basis Method For The Hamilton–Jacobi–Bellman Equation Within The European Union Emission Trading Scheme -- |t Index |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a 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 | ||
530 | |a Issued also in print. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) | |
650 | 0 | |a Control theory. | |
650 | 0 | |a Differential equations, Partial. | |
650 | 0 | |a Hamilton-Jacobi equations. | |
650 | 4 | |a Dynamische Optimierung. | |
650 | 4 | |a Finite-Elemente-Methode. | |
650 | 4 | |a Hamilton-Jacobi-Differentialgleichung. | |
650 | 4 | |a Numerische Mathematik. | |
650 | 4 | |a Optimale Kontrolle. | |
650 | 7 | |a MATHEMATICS / Numerical Analysis. |2 bisacsh | |
700 | 1 | |a Akian, Marianne, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Arto, Julen Rotaetxe, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Blechschmidt, Jan, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Botkin, Nikolai D., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Chekroun, Mickaël D., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Diepolder, Johannes, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Fodjo, Eric, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Garcke, Jochen, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Herzog, Roland, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Jensen, Max, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Kalise, Dante, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Kalise, Dante, |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
700 | 1 | |a Kalmykov, Ilja, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Kröner, Axel, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Kunisch, Karl, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Kunisch, Karl, |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
700 | 1 | |a Liu, Honghu, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Picarelli, Athena, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Rao, Zhiping, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Rao, Zhiping, |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
700 | 1 | |a Reisinger, Christoph, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Rotaetxe Arto, Julen, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Smears, Iain, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Steck, Sebastian, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Turova, Varvara L., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Urban, Karsten, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
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