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catalog abstract ""This invaluable book is suitable for two different levels of computational physics. The first part of the book is of an advanced introductory level and is appropriate for good students with no previous experience in computational methods or any student with some experience. Here the student is introduced to integral and differential techniques, Monte Carlo integration, basic computer architecture, methods of linear algebra, finite element techniques, digital signal processing and chaos." "The second part of the book is more specialized for problems in strong interaction with emphasis on solutions to many-body scattering problems and several-body bound state calculations with Monte Carlo techniques. It also contains a chapter dealing with techniques for the summation of divergent series."--Jacket.".
catalog contributor b11600891.
catalog created "c1999.".
catalog date "1999".
catalog date "c1999.".
catalog dateCopyrighted "c1999.".
catalog description ""This invaluable book is suitable for two different levels of computational physics. The first part of the book is of an advanced introductory level and is appropriate for good students with no previous experience in computational methods or any student with some experience. Here the student is introduced to integral and differential techniques, Monte Carlo integration, basic computer architecture, methods of linear algebra, finite element techniques, digital signal processing and chaos." "The second part of the book is more specialized for problems in strong interaction with emphasis on solutions to many-body scattering problems and several-body bound state calculations with Monte Carlo techniques. It also contains a chapter dealing with techniques for the summation of divergent series."--Jacket.".
catalog description "1. Integration -- 1.1. Classical Quadrature -- 1.2. Orthogonal Polynomials -- 1.3. Gaussian Integration -- 1.4. Special Integration Schemes -- 1.5. Principal Value Integrals -- 2. Introduction to Monte Carlo -- 2.1. Preliminary Notions -- Calculating [pi] -- 2.2. Evaluation of Integrals / Monte Carlo -- 2.3. Techniques for Direct Sampling -- 2.4. The Metropolis Algorithm -- 3. Differential Methods -- 3.1. Difference Schemes -- 3.2. Simple Differential Equations -- 3.3. Modeling with Differential Equations -- 4. Computers for Physicists -- 4.1. Fundamentals -- 4.2. The i8086 Series -- 4.3. Cray-1 S Architecture -- 4.4. Intel i860 Architecture -- 5. Linear Algebra -- 5.1. X[superscript 2] Analysis -- 5.2. Solution of Linear Equations -- 5.3. The Eigenvalue Problem -- 6. Exercises in Monte Carlo -- 6.1. The Potential Energy of the Oxygen Atom -- 6.2. Oxygen Potential Energy with Metropolis -- 6.3. Radiation Transport -- 6.4. An Inverse Problem with Monte Carlo -- 7. Finite Element Methods -- 7.1. Basis Functions -- One Dimension -- 7.2. Establishing the System Matrix -- 7.3. Example One-dimensional Program -- 7.4. Assembly by Elements -- 7.5. Problems in Two Dimensions -- 8. Digital Signal Processing -- 8.1. Fundamental Concepts -- 8.2. The Fast Fourier Transform -- 9. Chaos -- 9.1. Functional Iteration -- 9.2. Finding the Critical Values -- 10. The Schrodinger Equation -- 10.1. Removal of the Time Dependence -- 10.2. Reduction of the Two-body System -- 10.3. Expansion in Partial Waves -- 10.4. The Scattering Problem -- 10.5. Bound States of the Schrodinger Equation -- 10.6. Properties of the Clebsch-Gordan Coefficients -- 10.7. Time Dependent Schrodinger Equation -- 11. The N-body Ground State -- 11.1. The Variational Principle -- 11.2. Monte Carlo Green's Function Methods -- 11.3. Alternate Energy Estimators -- 11.4. Scattering in the N-body System -- 11.5. More General Methods -- 12. Divergent Series -- 12.1. Some Classic Examples.".
catalog description "12.2. Generalizations of Cesaro Summation -- 12.3. Borel Summation -- 12.4. Pade Approximants -- 13. Scattering in the N-body System -- 13.1. Single Scattering -- 13.2. First Order Optical Potential -- 13.3. Double Scattering -- 13.4. Scattering from Fixed Centers -- 13.5. The Watson Multiple Scattering Series -- 13.6. The KMT Optical Model -- 13.7. Medium Corrections -- A.1. Legendre Polynomials -- A.2. Gaussian Integration -- A.3. Spherical Bessel Functions -- A.4. Random Number Generator.".
catalog description "Includes bibliographical references and index.".
catalog extent "xv, 356 p. ;".
catalog identifier "9810240147".
catalog identifier "9810240155 (pbk.)".
catalog issued "1999".
catalog issued "c1999.".
catalog language "eng".
catalog publisher "River Edge, NJ : World Scientific,".
catalog subject "530.15 21".
catalog subject "Mathematical physics.".
catalog subject "QC20 .G48 1999".
catalog subject "Quantum theory.".
catalog tableOfContents "1. Integration -- 1.1. Classical Quadrature -- 1.2. Orthogonal Polynomials -- 1.3. Gaussian Integration -- 1.4. Special Integration Schemes -- 1.5. Principal Value Integrals -- 2. Introduction to Monte Carlo -- 2.1. Preliminary Notions -- Calculating [pi] -- 2.2. Evaluation of Integrals / Monte Carlo -- 2.3. Techniques for Direct Sampling -- 2.4. The Metropolis Algorithm -- 3. Differential Methods -- 3.1. Difference Schemes -- 3.2. Simple Differential Equations -- 3.3. Modeling with Differential Equations -- 4. Computers for Physicists -- 4.1. Fundamentals -- 4.2. The i8086 Series -- 4.3. Cray-1 S Architecture -- 4.4. Intel i860 Architecture -- 5. Linear Algebra -- 5.1. X[superscript 2] Analysis -- 5.2. Solution of Linear Equations -- 5.3. The Eigenvalue Problem -- 6. Exercises in Monte Carlo -- 6.1. The Potential Energy of the Oxygen Atom -- 6.2. Oxygen Potential Energy with Metropolis -- 6.3. Radiation Transport -- 6.4. An Inverse Problem with Monte Carlo -- 7. Finite Element Methods -- 7.1. Basis Functions -- One Dimension -- 7.2. Establishing the System Matrix -- 7.3. Example One-dimensional Program -- 7.4. Assembly by Elements -- 7.5. Problems in Two Dimensions -- 8. Digital Signal Processing -- 8.1. Fundamental Concepts -- 8.2. The Fast Fourier Transform -- 9. Chaos -- 9.1. Functional Iteration -- 9.2. Finding the Critical Values -- 10. The Schrodinger Equation -- 10.1. Removal of the Time Dependence -- 10.2. Reduction of the Two-body System -- 10.3. Expansion in Partial Waves -- 10.4. The Scattering Problem -- 10.5. Bound States of the Schrodinger Equation -- 10.6. Properties of the Clebsch-Gordan Coefficients -- 10.7. Time Dependent Schrodinger Equation -- 11. The N-body Ground State -- 11.1. The Variational Principle -- 11.2. Monte Carlo Green's Function Methods -- 11.3. Alternate Energy Estimators -- 11.4. Scattering in the N-body System -- 11.5. More General Methods -- 12. Divergent Series -- 12.1. Some Classic Examples.".
catalog tableOfContents "12.2. Generalizations of Cesaro Summation -- 12.3. Borel Summation -- 12.4. Pade Approximants -- 13. Scattering in the N-body System -- 13.1. Single Scattering -- 13.2. First Order Optical Potential -- 13.3. Double Scattering -- 13.4. Scattering from Fixed Centers -- 13.5. The Watson Multiple Scattering Series -- 13.6. The KMT Optical Model -- 13.7. Medium Corrections -- A.1. Legendre Polynomials -- A.2. Gaussian Integration -- A.3. Spherical Bessel Functions -- A.4. Random Number Generator.".
catalog title "Computation in modern physics / William R. Gibbs.".
catalog type "text".