Titlebook: Basic Concepts in Computational Physics; Benjamin A. Stickler,Ewald Schachinger Textbook 2016Latest edition Springer Nature Switzerland AG

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Numerical Differentiationrence approximation of derivatives follows immediately together with the errors inherent to these approximations. An operator technique allows a more formal description and provides better insight. Finally, partial derivatives are discussed within this context.

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The , Problem the finite difference approximation. All these methods violate due to their methodological error energy conservation, an important requirement of physics. This, finally, guides us to the so-called symplectic integrators.

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Partial Differential Equationstions using, for instance, the explicit . method. Again, stability problems connected with this method are discussed and demonstrated numerically. Finally, the quantum mechanical tunneling effect is studied numerically by solving the time dependent . equation by means of a . scheme which transforms

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