...GC Cohen; GC Gaunaurd 11 09 2002 wave equations numerical analysis finite difference methods finite element analysis reviews 9R9. Higher-Order Numerical Methods for Transient Wave Equations. Scientific Computation. - GC Cohen (Domaine de Voluceau, INRIA, Rocquencourt...

...P Prasad,, Author; Shi Tsan Wu,, Reviewer 30 07 2002 fluid dynamics wave propagation wave equations shock waves reviews 7R10. Nonlinear Hyperbolic Waves in Multi-Dimensions. Monographs and Surveys in Pure and Applied Mathematics, Vol 121. - P Prasad (Dept of Math...

...N Nishimura Fundamentals of Fast Multipole Method (FMM) and FMM accelerated Boundary Integral Equation Method (BIEM) are presented. Developments of FMM accelerated BIEM in the Laplace and Helmholtz equations, wave equation, and heat equation are reviewed. Applications of these methods...

...AG Kulikovskii,, Author; NV Pogorelov,, Author; AY Semenov,, Author; K Piechor,, Reviewer 10 06 2002 partial differential equations conservation laws numerical analysis wave equations reviews 5R12. Mathematical Aspects of Numerical Solution of Hyperbolic Systems...

...J Billingham; A King; Shi Tsan Wu wave propagation wave equations reviews 1R8. Wave Motion. Cambridge Texts in Applied Mechanics. - J Billingham and A King (Univ of Birmingham, UK). Cambridge UP, Cambridge, UK. 2000. 468 pp. Softcover. ISBN 0-521- 63450-4...

... waves on shear flows. Chapter 4 is about traveling wave problems. The chapter begins with a description of the problem and the general wave equation. The one-dimensional wave equation in gas dynamics is given and a solution is provided. The elementary...

... differential equations. The method of characteristics is discussed and illustrated with increasingly complex model problems: 1D advection equation, 2D wave equation, and a system of first order linear and nonlinear partial differential equations, etc. The first chapter deals with the physics...