03511nam 2200529 450 99649517150331620230417101557.09789811928765(electronic bk.)9789811928758(MiAaPQ)EBC7105522(Au-PeEL)EBL7105522(CKB)24978737900041(PPN)265858984(EXLCZ)992497873790004120230312d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierQuasi-linear theory for surface wave-current interactions /James C. McWilliamsSingapore :Springer,[2022]©20221 online resource (125 pages)Mathematics of Planet EarthPrint version: McWilliams, James C. Quasi-Linear Theory for Surface Wave-Current Interactions Singapore : Springer,c2022 9789811928758 Intro -- Preface -- Acknowledgments -- Contents -- 1 Introduction -- 2 General Balances -- 3 Quasi-Linear Wave and Current Balances -- 3.1 Wave Quasi-Linear Equations: WQL -- 3.2 Current Quasi-Linear Equations: CQL -- 3.3 Quasi-Linear Energy Balances -- 4 Scaling Analysis -- 5 Quasi-Linear Wave Theory: CEW -- 5.1 Waves at Leading Order -- 5.2 Waves with CEW -- 6 Quasi-Linear Current Theory: WEC -- 6.1 WEC at Leading Order -- 6.2 Bernoulli Head and Surface Elevation -- 6.3 Radiation Stress -- 6.4 Energy Conversion at Leading Order -- 6.5 CEW Stokes Drift -- 6.6 CEW-WEC Force and Energy Conversion -- 7 Wave-Current Resonance -- 8 Examples -- 9 A Program for Broad-Band Wave and Current Spectra -- 10 Material Concentration and Buoyancy -- 11 Summary and Prospects -- A Navier-Stokes and Quasi-Linear Energy Balances -- A.1 Navier-Stokes Energetics -- A.2 Quasi-Linear Wave-Current Energetics -- B Quasi-Linear Surface Boundary Conditions -- C Non-divergence of uSt in Quasi-Linear Theory -- D Lagrangian Trajectories and Stokes Drift -- E Solvability Condition for Φ"0365Φ -- F CEW Stokes Drift -- G Irrotational Companion to the Stokes Vortex Force -- H CEW-WEC Force A -- I CEW-WEC Force B -- J Illustrative Examples -- J.1 Horizontally-Uniform Currents, uh(z) -- J.2 2D Jet Currents v(x,z) -- J.2.1 Non-resonant Solutions -- J.2.2 Resonant Solutions -- J.2.3 Broad Jets -- J.3 2D Roll-Cell Currents -- J.3.1 Non-resonant Solutions -- J.3.2 Resonant Solutions -- J.3.3 Broad Roll Cells -- J.4 Depth-Uniform Eddy Currents, uh(x,y) -- J.4.1 Non-resonant Solutions -- J.4.2 Resonant Solutions -- J.4.3 Broad Eddy Currents -- K Eddy Wave-Current Resonances -- K.1 3D Rotational Eddies -- K.2 3D Overturning Eddy Cells -- L CEW and WEC for Material Concentration and Buoyancy -- References.Mathematics of planet Earth.Ocean currentsMeasurementOcean currentsMathematical modelsOnadesthubCorrents marinsthubModels matemàticsthubLlibres electrònicsthubOcean currentsMeasurement.Ocean currentsMathematical models.OnadesCorrents marinsModels matemàtics551.4701McWilliams James C.1261650MiAaPQMiAaPQMiAaPQ996495171503316Quasi-Linear Theory for Surface Wave-Current Interactions2939497UNISA03669nam 22005655 450 991025429460332120250523221720.03-319-68913-410.1007/978-3-319-68913-5(CKB)4100000001381586(DE-He213)978-3-319-68913-5(MiAaPQ)EBC6310666(MiAaPQ)EBC5590869(Au-PeEL)EBL5590869(OCoLC)1014337194(PPN)222228253(EXLCZ)99410000000138158620171202d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierDerivative-Free and Blackbox Optimization /by Charles Audet, Warren Hare1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (XVIII, 302 p. 38 illus.) Springer Series in Operations Research and Financial Engineering,2197-17733-319-68912-6 Part I: Introduction and Background Material -- Introduction: Tools and Challenges -- Mathematical Background -- The Beginnings of DFO Algorithms -- Part I: Some Remarks on DFO -- Part II: Popular Heuristic Methods -- Genetic Algorithms -- Nelder-Mead -- Part II: Further Remarks on Heuristics -- Part III: Direct Search Methods -- Positive bases and Nonsmooth Optimization -- Generalized Pattern Search -- Mesh Adaptive Direct Search -- Part III: Further Remarks on Direct Search Methods -- Part IV: Model-based Methods -- Model-based Descent -- Model-based Trust Region -- Part IV: Further Remarks on Model-based Methods -- Part V: Extensions and Refinements -- Variables and Constraints -- Optimization Using Surrogates and Models -- Biobjective Optimization -- Part V: Final Remarks on DFO/BBO -- Part VI: Appendix: Comparing Optimization Methods -- Solutions to Selected Exercises.This book is designed as a textbook, suitable for self-learning or for teaching an upper-year university course on derivative-free and blackbox optimization. The book is split into 5 parts and is designed to be modular; any individual part depends only on the material in Part I. Part I of the book discusses what is meant by Derivative-Free and Blackbox Optimization, provides background material, and early basics while Part II focuses on heuristic methods (Genetic Algorithms and Nelder-Mead). Part III presents direct search methods (Generalized Pattern Search and Mesh Adaptive Direct Search) and Part IV focuses on model-based methods (Simplex Gradient and Trust Region). Part V discusses dealing with constraints, using surrogates, and bi-objective optimization. End of chapter exercises are included throughout as well as 15 end of chapter projects and over 40 figures. Benchmarking techniques are also presented in the appendix.Springer Series in Operations Research and Financial Engineering,2197-1773Mathematical optimizationNumerical analysisOptimizationNumerical AnalysisMathematical optimization.Numerical analysis.Optimization.Numerical Analysis.519.3Audet Charlesauthttp://id.loc.gov/vocabulary/relators/aut767618Hare Warrenauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254294603321Derivative-Free and Blackbox Optimization1984160UNINA