By William J. Thompson
Issues are divided among evaluation fabric at the arithmetic heritage; numerical-analysis equipment comparable to differentiation, integration, the answer of differential equations from engineering, lifestyles and actual sciences; data-analysis purposes together with least-squares becoming, splines and Fourier expansions. certain in its undertaking orientation, it incorporates a colossal quantity of routines with emphasis on practical examples from present purposes.
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Extra resources for Computing for Scientists and Engineers: A Workbook of Analysis, Numerics, and Applications
Computational Physics, Addison-Wesley, Redwood City, California, 1986. Koonin, S. , and D. C. Meredith, Computational Physics: FORTRAN Version, Addison-Wesley, Redwood City, California, 1990. , A Concrete Approach to Mathematical Modelling, Addison-Wesley, Reading, Massachusetts, 1989. Meyer, W. , Concepts of Mathematical Modeling, McGraw-Hill, New York, 1984. Modi, J. , Parallel Algorithms and Matrix Computation, Clarendon Press, Oxford, England, 1988. , Computational Methods in Engineering and Science, WileyInterscience, New York, 1986.
6 2. 6 PROJECT 2: PROGRAM TO CONVERT BETWEEN COORDINATES 45 PROJECT 2: PROGRAM TO CONVERT BETWEEN COORDINATES Theprogram Cartesian & Polar Coordinate Interconversion developedin this project serves both to develop your understanding of the relations between these two coordinate systems and to give you practice with writing programs in C. The conversion from plane-polar to Cartesian coordinates is straightforward and unambiguous. 78) which can be programmed directly. Stepping into the correct quadrant The transformation from Cartesian coordinates to polar coordinates is less direct than the inverse transformation just considered.
As an example, experiments on wave scattering (such as in acoustics, optics, electromagnetism, and subatomic physics) are, at best, obtained in the range of scattering angles from zero to n. How would the data look if they could be analytically continued into the complex-angle plane? Similarly, data obtained at real energies or frequencies may be interesting to extrapolate to complex energies or complex frequencies. 2. 6 2. 6 PROJECT 2: PROGRAM TO CONVERT BETWEEN COORDINATES 45 PROJECT 2: PROGRAM TO CONVERT BETWEEN COORDINATES Theprogram Cartesian & Polar Coordinate Interconversion developedin this project serves both to develop your understanding of the relations between these two coordinate systems and to give you practice with writing programs in C.