The Resource Computational Physics : Simulation of Classical and Quantum Systems, by Philipp O.J. Scherer, (electronic resource)
Computational Physics : Simulation of Classical and Quantum Systems, by Philipp O.J. Scherer, (electronic resource)
 Summary
 This textbook presents basic numerical methods and applies them to a large variety of physical models in multiple computer experiments. Classical algorithms and more recent methods are explained. Partial differential equations are treated generally comparing important methods, and equations of motion are solved by a large number of simple as well as more sophisticated methods. Several modern algorithms for quantum wavepacket motion are compared. The first part of the book discusses the basic numerical methods, while the second part simulates classical and quantum systems. Simple but nontrivial examples from a broad range of physical topics offer readers insights into the numerical treatment but also the simulated problems. Rotational motion is studied in detail, as are simple quantum systems. A twolevel system in an external field demonstrates elementary principles from quantum optics and simulation of a quantum bit. Principles of molecular dynamics are shown. Modern bounda ry element methods are presented in addition to standard methods, and waves and diffusion processes are simulated comparing the stability and efficiency of different methods. A large number of computer experiments is provided, which can be tried out even by readers with no programming skills. Exercises in the applets complete the pedagogical treatment in the book. In the third edition Monte Carlo methods and random number generation have been updated taking recent developments into account. Krylovspace methods for eigenvalue problems are discussed in much more detail. The wavelet transformation method has been included as well as simple applications to continuum mechanics and convectiondiffusion problems. Lastly, elementary quantum manybody problems demonstrate the application of variational and MonteCarlo methods. 
 Language
 eng
 Edition
 3rd ed. 2017.
 Extent
 XXIV, 633 p. 306 illus., 50 illus. in color.
 Contents

 I. Numerical Methods
 Error Analysis
 Interpolation
 Numerical Differentiation
 Numerical Integration
 Systems of Inhomogeneous Linear Equations
 Roots and Extremal Points
 Fourier Transformation
 Wavelets
 Random Numbers and Monte Carlo Methods
 Eigenvalue Problems
 Data Fitting
 Discretization of Differential Equations
 Equations of Motion
 II. Simulation of Classical and Quantum Systems
 Rotational Motion
 Molecular Mechanics
 Continuum Mechanics
 Thermodynamic Systems
 Random Walk and Brownian Motion
 Electrostatics
 Waves
 Diffusion
 Convection
 Nonlinear Systems
 Simple Quantum Systems
 Quantum Many Body Systems
 Isbn
 9783319610887
 Label
 Computational Physics : Simulation of Classical and Quantum Systems
 Title
 Computational Physics
 Title remainder
 Simulation of Classical and Quantum Systems
 Statement of responsibility
 by Philipp O.J. Scherer
 Language
 eng
 Summary
 This textbook presents basic numerical methods and applies them to a large variety of physical models in multiple computer experiments. Classical algorithms and more recent methods are explained. Partial differential equations are treated generally comparing important methods, and equations of motion are solved by a large number of simple as well as more sophisticated methods. Several modern algorithms for quantum wavepacket motion are compared. The first part of the book discusses the basic numerical methods, while the second part simulates classical and quantum systems. Simple but nontrivial examples from a broad range of physical topics offer readers insights into the numerical treatment but also the simulated problems. Rotational motion is studied in detail, as are simple quantum systems. A twolevel system in an external field demonstrates elementary principles from quantum optics and simulation of a quantum bit. Principles of molecular dynamics are shown. Modern bounda ry element methods are presented in addition to standard methods, and waves and diffusion processes are simulated comparing the stability and efficiency of different methods. A large number of computer experiments is provided, which can be tried out even by readers with no programming skills. Exercises in the applets complete the pedagogical treatment in the book. In the third edition Monte Carlo methods and random number generation have been updated taking recent developments into account. Krylovspace methods for eigenvalue problems are discussed in much more detail. The wavelet transformation method has been included as well as simple applications to continuum mechanics and convectiondiffusion problems. Lastly, elementary quantum manybody problems demonstrate the application of variational and MonteCarlo methods. 
 Image bit depth
 0
 Literary form
 non fiction
 Series statement
 Graduate Texts in Physics,
 Label
 Computational Physics : Simulation of Classical and Quantum Systems, by Philipp O.J. Scherer, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 I. Numerical Methods  Error Analysis  Interpolation  Numerical Differentiation  Numerical Integration  Systems of Inhomogeneous Linear Equations  Roots and Extremal Points  Fourier Transformation  Wavelets  Random Numbers and Monte Carlo Methods  Eigenvalue Problems  Data Fitting  Discretization of Differential Equations  Equations of Motion  II. Simulation of Classical and Quantum Systems  Rotational Motion  Molecular Mechanics  Continuum Mechanics  Thermodynamic Systems  Random Walk and Brownian Motion  Electrostatics  Waves  Diffusion  Convection  Nonlinear Systems  Simple Quantum Systems  Quantum Many Body Systems
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 http://library.link/vocab/discovery_link
 {'f': 'http://opac.lib.rpi.edu/record=b4379909'}
 Edition
 3rd ed. 2017.
 Extent
 XXIV, 633 p. 306 illus., 50 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319610887
 Level of compression
 uncompressed
 Media category
 computer
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 rdamedia
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 c
 Other physical details
 online resource.
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/ComputationalPhysicsSimulationofClassical/Iq2RDaM1O7o/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/ComputationalPhysicsSimulationofClassical/Iq2RDaM1O7o/">Computational Physics : Simulation of Classical and Quantum Systems, by Philipp O.J. Scherer, (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>