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Everything You Wanted to Know About Data Analysis and Fitting but Were Afraid…
These notes describe how to average and fit numerical data that have been obtained either by simulation or measurement. Following an introduction on how to estimate various average values, they discuss how to determine error bars on those estimates, and how to proceed for combinations of measured values. Techniques for fitting data to a given set of models will be described in the second part o…
- Edition
- -
- ISBN/ISSN
- 978-3-319-19051-8
- Collation
- 4 b/w illustrations, 11 illustrations in colour
- Series Title
- -
- Call Number
- -
Models for Physics of the Very Small and Very Large
This monograph tackles three challenges. First, show a mathematics-based meta-model that matches known elementary particles. Second, apply models, based on the meta-model, to match other known physics data. Third, predict future physics data. The math features solutions to isotropic pairs of isotropic quantum harmonic oscillators. This monograph matches some solutions to known elementary partic…
- Edition
- 1
- ISBN/ISSN
- 978-94-6239-165-9
- Collation
- XII, 382
- Series Title
- Atlantis Studies in Mathematics for Engineering and Science
- Call Number
- -
Methods of Applied Mathematics with a Software Overview
This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them. The text emphasizes the computational aspects of problem solving as well as the limitations and implicit assumptions inherent in the formal methods. Readers are also given a sense of the wide variety of p…
- Edition
- 2
- ISBN/ISSN
- 978-3-319-43369-1
- Collation
- XVII, 781
- Series Title
- Applied and Numerical Harmonic Analysis
- Call Number
- -
Transport and Fluctuations in Granular Fluids
This brief offers a concise presentation of granular fluids from the point of view of non-equilibrium statistical physics. The emphasis is on fluctuations, which can be large in granular fluids due to the small system size (the number of grains is many orders of magnitude smaller than in molecular fluids). Firstly, readers will be introduced to the most intriguing experiments on fluidized gra…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-10286-3
- Collation
- XVI, 118
- Series Title
- SpringerBriefs in Physics
- Call Number
- -
Transient Changes in Molecular Geometries and How to Model Them
This thesis examines various aspects of excess excitation energy dissipation via dynamic changes in molecular structure, vibrational modes and solvation. The computational work is carefully described and the results are compared to experimental data obtained using femtosecond spectroscopy and x-ray scattering. The level of agreement between theory and experiment is impressive and provides both …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-18747-1
- Collation
- XXXVIII, 146
- Series Title
- Springer Theses
- Call Number
- -
Synergetics of Molecular Systems
Synergetics is the quantitative study of multicomponent systems that exhibit nonlinear dynamics and cooperativity. This book specifically considers basic models of the nonlinear dynamics of molecular systems and discusses relevant applications in biological physics and the polymer sciences. Emphasis is placed on specific solutions to the dynamical equations that correspond to the coherent form…
- Edition
- -
- ISBN/ISSN
- 978-3-319-08195-3
- Collation
- VIII, 332
- Series Title
- Springer Series in Synergetics
- Call Number
- -
Geometry from Dynamics, Classical and Quantum
This book describes, by using elementary techniques, how some geometrical structures widely used today in many areas of physics, like symplectic, Poisson, Lagrangian, Hermitian, etc., emerge from dynamics. It is assumed that what can be accessed in actual experiences when studying a given system is just its dynamical behavior that is described by using a family of variables ("observables" of th…
- Edition
- -
- ISBN/ISSN
- 978-94-017-9219-6
- Collation
- -
- Series Title
- -
- Call Number
- 510
Trajectory Anomalies in Interplanetary Spacecraft
This thesis presents fundamental work that explains two mysteries concerning the trajectory of interplanetary spacecraft. For the first problem, the so-called Pioneer anomaly, a wholly new and innovative method was developed for computing all contributions to the acceleration due to onboard thermal sources. Through a careful analysis of all parts of the spacecraft Pioneer 10 and 11, the applica…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-18980-2
- Collation
- XVII, 87
- Series Title
- Springer Theses
- Call Number
- -
Error Estimates for Well-Balanced Schemes on Simple Balance Laws One-Dimensi…
This monograph presents, in an attractive and self-contained form, techniques based on the L1 stability theory derived at the end of the 1990s by A. Bressan, T.-P. Liu and T. Yang that yield original error estimates for so-called well-balanced numerical schemes solving 1D hyperbolic systems of balance laws. Rigorous error estimates are presented for both scalar balance laws and a position-depen…
- Edition
- -
- ISBN/ISSN
- 978-3-319-24785-4
- Collation
- 9 b/w illustrations, 15 illustrations in colour
- Series Title
- -
- Call Number
- -
Equilibrium Statistical Mechanics of Lattice Models
Most interesting and difficult problems in equilibrium statistical mechanics concern models which exhibit phase transitions. For graduate students and more experienced researchers this book provides an invaluable reference source of approximate and exact solutions for a comprehensive range of such models. Part I contains background material on classical thermodynamics and statistical mechanics…
- Edition
- -
- ISBN/ISSN
- 978-94-017-9430-5
- Collation
- 101 b/w illustrations
- Series Title
- -
- Call Number
- -
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