A Random Choice Finite-Difference Scheme for Hyperbolic Conservation Laws - Softcover

Amiram Harten

 
9781332943197: A Random Choice Finite-Difference Scheme for Hyperbolic Conservation Laws

Synopsis

This book delves into the field of numerical methods for solving hyperbolic conservation laws, a branch of mathematics concerned with the study of fluid dynamics. The author presents a novel finite difference scheme that combines the random choice method of Glimm with a carefully designed approximate Riemann solver, offering a more efficient and accurate approach to solving these complex systems of equations. Through a comprehensive analysis, the author establishes the convergence and stability of the proposed scheme under specific conditions. By constructing approximate solutions that sharply resolve discontinuities and effectively minimize numerical errors, this book provides a valuable contribution to the field of computational fluid dynamics. Its insights advance the understanding of numerical methods for hyperbolic conservation laws, facilitating further research and practical applications in various scientific and engineering disciplines.

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