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ISBN 9783319004006
DDC 530.15
Tác giả CN Scherer, Philipp O.J.
Nhan đề Computational Physics : Simulation of Classical and Quantum Systems / Philipp O.J. Scherer
Lần xuất bản Second Edition
Thông tin xuất bản New York : Springer, 2013
Mô tả vật lý 456 p. ; cm.
Phụ chú Graduate texts in physics.
Tóm tắt This textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics. Many clear mathematical descriptions of important techniques in computational physics are given. The first part of the book discusses the basic numerical methods. A large number of exercises and computer experiments allows to study the properties of these methods. The second part concentrates on simulation of classical and quantum systems. It uses a rather general concept for the equation of motion which can be applied to ordinary and partial differential equations. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multistep methods and the class of Verlet methods which is introduced by studying the motion in Liouville space. Besides the classical methods, inverse interpolation is discussed, together with the popular combined methods by Dekker and Brent and a not so well known improvement by Chandrupatla. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods. A comparison of several methods for quantum systems is performed, containing pseudo-spectral methods, finite differences methods, rational approximation to the time evolution operator, second order differencing and split operator methods.....
Thuật ngữ chủ đề Mathematical physics
Thuật ngữ chủ đề Physique
Thuật ngữ chủ đề Physics -Data processing
Khoa Khoa Cơ bản
Địa chỉ Thư Viện Đại học Nguyễn Tất Thành
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100 |aScherer, Philipp O.J.
245 |aComputational Physics : |bSimulation of Classical and Quantum Systems / |cPhilipp O.J. Scherer
250 |aSecond Edition
260 |aNew York : |bSpringer, |c2013
300 |a456 p. ; |ccm.
500 |aGraduate texts in physics.
520 |aThis textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics. Many clear mathematical descriptions of important techniques in computational physics are given. The first part of the book discusses the basic numerical methods. A large number of exercises and computer experiments allows to study the properties of these methods. The second part concentrates on simulation of classical and quantum systems. It uses a rather general concept for the equation of motion which can be applied to ordinary and partial differential equations. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multistep methods and the class of Verlet methods which is introduced by studying the motion in Liouville space. Besides the classical methods, inverse interpolation is discussed, together with the popular combined methods by Dekker and Brent and a not so well known improvement by Chandrupatla. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods. A comparison of several methods for quantum systems is performed, containing pseudo-spectral methods, finite differences methods, rational approximation to the time evolution operator, second order differencing and split operator methods.....
541 |aSpringer
650 |aMathematical physics
650 |aPhysique
650 |aPhysics |vData processing
690 |aKhoa Cơ bản
852 |aThư Viện Đại học Nguyễn Tất Thành
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