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1. The maximum principle
by Pucci, Patrizia and Serrin, J. 1926-2012 (James)
2007, Progress in nonlinear differential equations and their applications, ISBN 0817681450, Volume 73, x, 234
Maximum principles are bedrock results in the theory of second order elliptic equations. This book contains a detailed description of modern work on the... 
Differential equations, Partial | Maximum principles (Mathematics) | Potential theory (Mathematics) | Potential Theory | Mathematics | Partial Differential Equations
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2. The likelihood principle
by Berger, James O
1984, Lecture notes-monograph series / Institute of Mathematical Statistics, ISBN 9780940600065, Volume 6, xi, 206 p. --
Mathematical statistics | Probabilities
Book
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3. Full Text The key principles of optimal train control—Part 2: Existence of an optimal strategy, the local energy minimization principle, uniqueness, computational techniques
by Albrecht, Amie and Howlett, Phil and Pudney, Peter and Vu, Xuan and Zhou, Peng
Transportation Research Part B, ISSN 0191-2615, 12/2016, Volume 94, pp. 509 - 538
We discuss the problem of finding an energy-efficient driving strategy for a train journey on an undulating track with steep grades subject to a maximum... 
Train control | Optimal driving strategies | Maximum principle | ENGINEERING, CIVIL | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | TRANSPORTATION | TRANSPORTATION SCIENCE & TECHNOLOGY | ECONOMICS | Braking | Energy conservation | Journeys | Minimization | Strategy | Mathematical models | Switching | Optimization
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4. Income, wealth, and the maximum principle
by Weitzman, Martin L
2003, ISBN 0674010442, viii, 341
This compact and original exposition of optimal control theory and applications is designed for graduate and advanced undergraduate students in economics. It... 
Economics | National income | Accounting | Mathematical models | Maximum principles (Mathematics) | Mathematical optimization | Economic development | Wealth
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5. Entropy measures, maximum entropy principle, and emerging applications
by Karmeshu and SpringerLink (Online service)
2003, Studies in Fuzziness and Soft Computing, ISBN 3540002421, Volume 119, x, 297
This book is dedicated to Prof. J. Kapur and his contributions to the field of entropy measures and maximum entropy applications. Eminent scholars in various... 
Engineering mathematics | Engineering | Vibration, Dynamical Systems, Control | Vibration | Systems Theory, Control | Statistical physics | Complex Systems | Mathematical and Computational Engineering | Systems theory | Complexity | Statistical Physics and Dynamical Systems
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6. Full Text Maximum-principle preserving space–time isogeometric analysis
by Bonilla, Jesús and Badia, Santiago
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 09/2019, Volume 354, pp. 422 - 440
In this work we propose a nonlinear stabilization technique for convection–diffusion–reaction and pure transport problems discretized with space–time... 
Isogeometric analysis | Discrete maximum principle | Space–time | High-order | Monotonicity | APPROXIMATIONS | STABILIZATION | GALERKIN METHODS | Space-time | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | DIFFUSION | FINITE-ELEMENT-METHOD | SCHEMES | Analysis | Detectors | Stability | Discretization | Stabilization | Linearity | Maximum principle | Graph theory | Well posed problems | Diffusion | Convection | Convergence | Mètodes en elements finits | Elements finits, Mètode dels | Geometria computacional | Finite element method | Anàlisi numèrica | Geometria | Matemàtiques i estadística | Mecànica computacional | Àrees temàtiques de la UPC
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7. Full Text The second law of thermodynamics and the global climate system: A review of the maximum entropy production principle
by Hisashi Ozawa and Atsumu Ohmura and Ralph D. Lorenz and Toni Pujol
Reviews of Geophysics, ISSN 8755-1209, 11/2003, Volume 41, Issue 4, pp. 1018 - n/a
The long‐term mean properties of the global climate system and those of turbulent fluid systems are reviewed from a thermodynamic viewpoint. Two general... 
Nonlinear dynamics | Climatology | Turbulence | General or Miscellaneous | Techniques applicable in three or more fields | Mathematical Geophysics | Meteorology and Atmospheric Dynamics | thermodynamics | global climate | maximum entropy production | energetics | Energetics | Thermodynamics | Maximum entropy production | Global climate | FRICTIONAL DISSIPATION | OCEANIC GENERAL-CIRCULATION | PART II | ATMOSPHERE | RADIATIVE-CONVECTIVE EQUILIBRIUM | EXTREMAL PRINCIPLE | GEOCHEMISTRY & GEOPHYSICS | TURBULENT SHEAR FLOW | HEAT-TRANSPORT | INFORMATION-THEORY | ENERGY TRANSPORTS | Canvis climàtics | Termodinàmica | Climatic changes | Entropy | Entropia | Thermodynamic
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8. Full Text A Maximum Principle for Single-Input Boolean Control Networks
by Laschov, D and Margaliot, M
IEEE Transactions on Automatic Control, ISSN 0018-9286, 04/2011, Volume 56, Issue 4, pp. 913 - 917
Boolean networks have recently been attracting considerable interest as computational models for genetic and cellular networks. We consider a Mayer-type... 
systems biology | Biological system modeling | Switches | needle variation | variational analysis | Switched systems | Boolean functions | Logical functions | Optimal control | necessary condition for optimality | sum of products representation | Matrix converters | semi-tensor product | SWITCHED SYSTEMS | STABILITY | GENE REGULATORY NETWORKS | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Systems biology | Algebra, Boolean | Analysis | Networks | Cellular communication | Automatic control | Genetics | Maximum principle | Mathematical models | Boolean algebra | Optimization
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9. Full Text Molecular phylogenetics: Principles and practice
by Yang, Ziheng and Rannala, Bruce
Nature Reviews Genetics, ISSN 1471-0056, 05/2012, Volume 13, Issue 5, pp. 303 - 314
Phylogenies are important for addressing various biological questions such as relationships among species or genes, the origin and spread of viral infection... 
FOSSIL CALIBRATIONS | EVOLUTIONARY TREES | MAXIMUM-LIKELIHOOD | DNA-SEQUENCES | MIXTURE MODEL | ANCESTRAL POPULATION SIZES | GENETICS & HEREDITY | SPECIES DIVERGENCE TIMES | SUBSTITUTION MODELS | BAYESIAN-ESTIMATION | MULTIPLE SEQUENCE ALIGNMENT | Models, Biological | Base Sequence | Humans | Molecular Sequence Data | Female | Male | Software | Models, Statistical | Phylogeny | Usage | Cladistic analysis | Molecular genetics | Research | Nucleotide sequencing | Methods | DNA sequencing
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10. Full Text Discrete advection–diffusion equations on graphs: Maximum principle and finite volumes
by Hošek, Radim and Volek, Jonáš
Applied Mathematics and Computation, ISSN 0096-3003, 11/2019, Volume 361, pp. 630 - 644
We study an initial value problem for explicit and implicit difference advection–diffusion equations on graphs. Problems on both finite and infinite graphs are... 
Maximum principle | Finite volume method | Equivolumetric mesh | Graph | Advection–diffusion equation | Difference equation | Advection-diffusion equation | SPACE | MATHEMATICS, APPLIED | SYSTEMS
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11. Full Text Maximum entropy production principle in physics, chemistry and biology
by Martyushev, L.M and Seleznev, V.D
Physics Reports, ISSN 0370-1573, 2006, Volume 426, Issue 1, pp. 1 - 45
The tendency of the entropy to a maximum as an isolated system is relaxed to the equilibrium (the second law of thermodynamics) has been known since the... 
Ziegler's and Prigogine's principles | MEPP applications | Maximum entropy production principle (MEPP) | STATISTICAL-MECHANICAL THEORY | DENDRITIC GROWTH | PHYSICS, MULTIDISCIPLINARY | THERMODYNAMIC VARIATIONAL PRINCIPLE | AMPLITUDE CELLULAR CONVECTION | maximum entropy production principle (MEPP) | GLOBAL CLIMATE SYSTEM | PATTERN SELECTION | INFORMATION-THEORY | STEADY-STATE | IRREVERSIBLE-PROCESSES | RAYLEIGH-BENARD CONVECTION | Thermodynamics | Analysis
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12. Full Text Mean-Field Pontryagin Maximum Principle
by Bongini, Mattia and Fornasier, Massimo and Rossi, Francesco and Solombrino, Francesco
Journal of Optimization Theory and Applications, ISSN 0022-3239, 10/2017, Volume 175, Issue 1, pp. 1 - 38
We derive a maximum principle for optimal control problems with constraints given by the coupling of a system of ordinary differential equations and a partial... 
Subdifferential calculus | Mean-field limit | Sparse optimal control | Mathematics | Theory of Computation | Optimization | Optimal control with ODE–PDE constraints | varGamma $$ Γ -limit | 49J20 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Hamiltonian flows | Applications of Mathematics | Engineering, general | Γ-limit | MATHEMATICS, APPLIED | VLASOV-POISSON SYSTEM | SPACES | GAMES | EQUATIONS | CONSENSUS | MODEL | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | DYNAMICS | Gamma-limit | Optimal control with ODE-PDE constraints | Analysis | Differential equations | Partial differential equations | Optimal control | Ordinary differential equations | Maximum principle | Control theory | Dynamical Systems | Optimization and Control | Engineering Sciences | Analysis of PDEs | Automatic
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13. Full Text Maximum entropy principle for rarefied polyatomic gases
by Pavić, Milana and Ruggeri, Tommaso and Simić, Srboljub
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 03/2013, Volume 392, Issue 6, pp. 1302 - 1317
The aim of this paper is to show that the procedure of maximum entropy principle for the closure of the moments equations for rarefied monatomic gases can be... 
Kinetic theory of gases | Maximum entropy principle | Extended thermodynamics | EXISTENCE | SMOOTH SOLUTIONS | PHYSICS, MULTIDISCIPLINARY | EQUILIBRIUM | EQUATIONS | STATE | MODEL | DISSIPATIVE HYPERBOLIC SYSTEMS | CONVEX ENTROPY
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14. Full Text Optimal Control of Hybrid Electric Vehicles Based on Pontryagin's Minimum Principle
by Namwook Kim and Sukwon Cha and Huei Peng
IEEE Transactions on Control Systems Technology, ISSN 1063-6536, 09/2011, Volume 19, Issue 5, pp. 1279 - 1287
A number of strategies for the power management of hybrid electric vehicles (HEVs) are proposed in the literature. A key challenge is to achieve... 
fuel optimal control | dynamic programming (DP) | Cost optimal control | Optimal control | Fuel economy | Pontryagin maximum principle | road vehicle control | Trajectory | Dynamic programming |