Titlebook: Computational Physics; Simulation of Classi Philipp O. J. Scherer Textbook 20101st edition Springer-Verlag Berlin Heidelberg 2010 Algorithm

效果

Springer-Verlag Berlin Heidelberg 2010

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Numerical Differentiationthe Romberg extrapolation method. A computer experiment compares the precision of methods with different error orders. Higher derivatives and differential operators in more dimensions can be obtained from polynomial interpolation.

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约会

Roots and Extremal Points descent, the conjugate gradient method, and the Newton–Raphson method are discussed. If the full Hessian matrix cannot be calculated, quasi-Newton methods like the BFGS method are helpful. Different methods are compared in another computer experiment.

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结果

引起

periments. The second part specializes in simulation of classical and quantum systems with instructive examples spanning many fields in physics, from a classical rotor to a quantum bit. All program examples are realized as Java applets ready to run in your browser and do not require any programming skills.978-3-642-13990-1

致命

Textbook 20101st editionsical and quantum systems with instructive examples spanning many fields in physics, from a classical rotor to a quantum bit. All program examples are realized as Java applets ready to run in your browser and do not require any programming skills.

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https://doi.org/10.1007/978-3-7908-1954-0the Romberg extrapolation method. A computer experiment compares the precision of methods with different error orders. Higher derivatives and differential operators in more dimensions can be obtained from polynomial interpolation.