The Resource Basic Concepts in Computational Physics, by Benjamin A. Stickler, Ewald Schachinger, (electronic resource)
Basic Concepts in Computational Physics, by Benjamin A. Stickler, Ewald Schachinger, (electronic resource)
 Summary
 With the development of ever more powerful computers a new branch of physics and engineering evolved over the last few decades: Computer Simulation or Computational Physics. It serves two main purposes:  Solution of complex mathematical problems such as, differential equations, minimization/optimization, or highdimensional sums/integrals.  Direct simulation of physical processes, as for instance, molecular dynamics or MonteCarlo simulation of physical/chemical/technical processes. Consequently, the book is divided into two main parts: Deterministic methods and stochastic methods. Based on concrete problems, the first part discusses numerical differentiation and integration, and the treatment of ordinary differential equations. This is augmented by notes on the numerics of partial differential equations. The second part discusses the generation of random numbers, summarizes the basics of stochastics which is then followed by the introduction of various MonteCarlo (MC) methods. Specific emphasis is on MARKOV chain MC algorithms. All this is again augmented by numerous applications from physics. The final two chapters on Data Analysis and Stochastic Optimization share the two main topics as a common denominator. The book offers a number of appendices to provide the reader with more detailed information on various topics discussed in the main part. Nevertheless, the reader should be familiar with the most important concepts of statistics and probability theory albeit two appendices have been dedicated to provide a rudimentary discussion
 Language
 eng
 Extent
 XVII, 377 p. 95 illus.
 Contents

 Some Basic Remarks
 Part I Deterministic Methods: Numerical Differentiation
 Numerical Integration
 The KEPLER Problem
 Ordinary Differential Equations {u2013} Initial Value Problems
 The Double Pendulum
 Molecular Dynamics
 Numerics of Ordinary Differential Equations  Boundary Value Problems
 The OneDimensional Stationary Heat Equation
 The OneDimensional Stationary SCHRÃ–DINGER Equation
 Numerics of Partial Differential Equations
 Part II Stochastic Methods
 Pseudo Random Number Generators
 Random Sampling Methods
 A Brief Introduction to MonteCarlo Methods
 The ISING Model
 Some Basics of Stochastic Processes
 The Random Walk and Diffusion Theory
 MARKOVChain Monte Carlo and the POTTS Model
 Data Analysis
 Stochastic Optimization
 Isbn
 9783319024356
 Label
 Basic Concepts in Computational Physics
 Title
 Basic Concepts in Computational Physics
 Statement of responsibility
 by Benjamin A. Stickler, Ewald Schachinger
 Subject

 Numerical and Computational Physics
 Appl.Mathematics/Computational Methods of Engineering
 Statistical Physics, Dynamical Systems and Complexity
 Theoretical and Computational Chemistry
 Chemistry
 Engineering mathematics
 Computational Mathematics and Numerical Analysis
 Physics
 Computer science  Mathematics
 Language
 eng
 Summary
 With the development of ever more powerful computers a new branch of physics and engineering evolved over the last few decades: Computer Simulation or Computational Physics. It serves two main purposes:  Solution of complex mathematical problems such as, differential equations, minimization/optimization, or highdimensional sums/integrals.  Direct simulation of physical processes, as for instance, molecular dynamics or MonteCarlo simulation of physical/chemical/technical processes. Consequently, the book is divided into two main parts: Deterministic methods and stochastic methods. Based on concrete problems, the first part discusses numerical differentiation and integration, and the treatment of ordinary differential equations. This is augmented by notes on the numerics of partial differential equations. The second part discusses the generation of random numbers, summarizes the basics of stochastics which is then followed by the introduction of various MonteCarlo (MC) methods. Specific emphasis is on MARKOV chain MC algorithms. All this is again augmented by numerous applications from physics. The final two chapters on Data Analysis and Stochastic Optimization share the two main topics as a common denominator. The book offers a number of appendices to provide the reader with more detailed information on various topics discussed in the main part. Nevertheless, the reader should be familiar with the most important concepts of statistics and probability theory albeit two appendices have been dedicated to provide a rudimentary discussion
 Image bit depth
 0
 Literary form
 non fiction
 Label
 Basic Concepts in Computational Physics, by Benjamin A. Stickler, Ewald Schachinger, (electronic resource)
 Related Authorities

 Engineering mathematics
 Theoretical and Computational Chemistry
 Appl.Mathematics/Computational Methods of Engineering
 Computational Mathematics and Numerical Analysis
 Computer science
 Statistical Physics, Dynamical Systems and Complexity
 Chemistry
 Mathematics
 Physics
 Numerical and Computational Physics
 Related Subjects

 Numerical and Computational Physics
 Appl.Mathematics/Computational Methods of Engineering
 Statistical Physics, Dynamical Systems and Complexity
 Theoretical and Computational Chemistry
 Chemistry
 Engineering mathematics
 Computational Mathematics and Numerical Analysis
 Physics
 Computer science  Mathematics
 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
 Some Basic Remarks  Part I Deterministic Methods: Numerical Differentiation  Numerical Integration  The KEPLER Problem  Ordinary Differential Equations {u2013} Initial Value Problems  The Double Pendulum  Molecular Dynamics  Numerics of Ordinary Differential Equations  Boundary Value Problems  The OneDimensional Stationary Heat Equation  The OneDimensional Stationary SCHRÃ–DINGER Equation  Numerics of Partial Differential Equations  Part II Stochastic Methods  Pseudo Random Number Generators  Random Sampling Methods  A Brief Introduction to MonteCarlo Methods  The ISING Model  Some Basics of Stochastic Processes  The Random Walk and Diffusion Theory  MARKOVChain Monte Carlo and the POTTS Model  Data Analysis  Stochastic Optimization
 http://library.link/vocab/cover_art
 https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9783319024356&userID=ebscotest&password=ebscotest
 Dimensions
 unknown
 http://library.link/vocab/discovery_link
 {'f': 'http://opac.lib.rpi.edu/record=b3552128'}
 Extent
 XVII, 377 p. 95 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319024356
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
Subject
 Appl.Mathematics/Computational Methods of Engineering
 Chemistry
 Computational Mathematics and Numerical Analysis
 Computer science  Mathematics
 Engineering mathematics
 Numerical and Computational Physics
 Physics
 Statistical Physics, Dynamical Systems and Complexity
 Theoretical and Computational Chemistry
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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/BasicConceptsinComputationalPhysicsby/bL_E1xb7MX0/" 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/BasicConceptsinComputationalPhysicsby/bL_E1xb7MX0/">Basic Concepts in Computational Physics, by Benjamin A. Stickler, Ewald Schachinger, (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>