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AEC Computing and Applied Mathematics Center: AEC Research and Development Report. Some Implicit Finite Difference Schemes for Hyperbolic Systems. March 1, 1963
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- Some Implicit Finite Difference Schemes for Hyperbolic SystemsAuthored by John Gary, this highly detailed and scientifically valuable work is a part of the prestigious AEC Research and Development series. Published in 1963 under the guidance of the AEC Computing and Applied Mathematics Center at New York University's Courant Institute of Mathematical Sciences, this report addresses crucial methodologies in the field of applied mathematics and computational physics. It specifically delves into implicit finite difference schemes for hyperbolic systems, offering valuable insights for researchers and professionals in fields dealing with supersonic and subsonic flow problems.This report presents innovative modifications to the Crank-Nicholson method, providing efficient computational solutions by inverting tridiagonal matrices, which ensure stability in large time-step computations. Furthermore, it includes a thorough analysis of stability conditions using numerical experiments, making it an essential read for those involved in the study of fluid dynamics and computational mathematics. Additionally, the research demonstrates the application of the quasi-Crank-Nicholson schemes to the Navier-Stokes equations, a cornerstone in fluid mechanics.Perfect for scholars, engineers, and advanced students of applied mathematics, this meticulously restored edition by Leopold Classic Library guarantees a quality reproduction, preserving the integrity of the original publication.
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