Tabla de Contenidos: “…Appendix: Extracting the Discount Factors Z(0, T) from Coupon Bonds -- 2.9.1. Bootstrap Again -- 2.9.2. Regressions -- 2.9.3. Curve Fitting -- 2.9.4. …”

Tabla de Contenidos: “…Mingsheng Ying (1964-) -- Preface to the second edition -- Preface to the first edition -- Acknowledgements -- 1 Introduction -- 1.1 From classical programming to quantum programming - "Everything old is new again!" -- 1.1.1 Quantum programming languages and compilers -- 1.1.2 Semantics and type systems of quantum programs -- 1.1.3 Verification and analysis of quantum programs -- 1.2 Approaches to quantum programming -- 1.2.1 Classical parallel programming -- 1.2.2 Superposition-of-data versus superposition-of-programs -- 1.2.3 Classical and quantum parallelisms working together -- 1.3 Structure of the book -- Reading the book -- Teaching from the book -- I Preliminaries -- 2 Quantum mechanics -- 2.1 Hilbert spaces -- 2.2 Linear operators -- 2.2.1 Unitary transformations -- 2.3 Quantum measurements -- 2.3.1 Observables and projective measurements -- 2.3.2 Noncommutativity and uncertainty principle -- 2.4 Tensor products of Hilbert spaces -- 2.4.1 Nocloning of quantum data -- 2.5 Density operators -- 2.6 Quantum operations -- 2.7 Bibliographic remarks and further readings -- 3 Models of quantum computation -- 3.1 Quantum circuits -- 3.1.1 Basic definitions -- 3.1.2 One-qubit gates -- 3.1.3 Controlled gates -- 3.1.4 Quantum multiplexor -- 3.1.5 Universality of gates -- 3.1.6 Measurements in circuits -- 3.2 Quantum Turing machines -- 3.3 Quantum random access stored-program machines -- 3.4 Bibliographic remarks and further readings -- 4 Quantum algorithms and communication protocols -- 4.1 Quantum parallelism and interference -- 4.2 Quantum algorithms based on Hadamard transforms -- 4.2.1 Deutsch-Jozsa algorithm -- 4.2.2 Bernstein-Vazirani algorithm -- 4.2.3 Simon algorithm -- 4.3 Quantum Fourier transform -- 4.3.1 Phase estimation…”

Tabla de Contenidos: “…9.2.3 Explicitly filtered LES and the grid convergence issue -- 9.3 Implicit coupling between numerics and explicit subgrid models -- 9.3.1 Statement of the problem -- 9.3.2 A first analysis via Taylor expansions -- 9.3.3 Static and dynamic analysis -- 9.3.4 Observations in nonhomogeneous flows -- 9.3.4.1 Plane channel flow case -- 9.3.4.2 Circular cylinder case -- 9.4 LES numerics: beyond order of accuracy -- 9.4.1 Statement of the problem -- 9.4.2 Structure-preserving schemes for LES -- 9.4.3 Extension to LES of compressible flows -- 9.5 Concluding remarks -- References -- 10 Numerical approximations formulated as LES models -- 10.1 Coarse grained simulations -- 10.1.1 Introduction -- 10.1.2 Low-pass filtered and finite-volume discretized Navier-Stokes equations -- 10.1.3 Modified equation analysis of subgrid scale modeling -- 10.1.3.1 Finite scale Navier-Stokes -- 10.1.3.2 Spatial filtering and ensemble averaging -- 10.2 Turbulence Reynolds number and mixing transition -- 10.2.1 Effective kinematic viscosity -- 10.3 Compressible numerical hydrodynamics -- 10.3.1 Riemann solvers -- 10.3.2 Low-Ma correction -- 10.3.3 Modified equation analysis -- 10.4 Case studies -- 10.4.1 Taylor-Green vortex -- 10.4.1.1 Impact of numerical scheme on quantities of interest -- 10.4.1.2 Numerical Reynolds number -- 10.4.2 Accelerated interface Rayleigh-Taylor driven mixing -- 10.4.2.1 Impact of numerical scheme on quantities of interest -- 10.4.2.2 Numerical Reynolds number -- 10.5 Summary and conclusions -- Acknowledgments -- References -- 11 Numerical treatment of incompressible turbulent flow -- 11.1 Introduction -- 11.1.1 Numerical challenge -- 11.1.2 Short history of energy-preserving discretization -- 11.1.3 Turbulence modeling -- 11.2 Flow equations -- 11.3 Energy-preserving discretization -- 11.3.1 Finite-volume -- 11.3.2 Evolution of energy…”

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