Numerical Methods For Scientific Computing

Numerical Methods for Scientific Computing

Numerical Methods for Scientific Computing is an introducion to numer-ical methods and analysis techniques that can be used to solve a variety ofcomplicated engineering and scientific problems. The material is suitable forupper level college undergraduates or beginning graduate students. There ismore than enough material for a two semester course in numerical methodsand analysis for mathematicians, engineers, physicists, chemistry and sciencemajors.Chapter one reviews necessary background prerequisite material. Thechapter two illustrates techniques for finding roots of equations. Chapterthree studies solution methods applicable for handling linear and nonlinearsystems of equations. Chapter four introduces interpolation and approxima-tion techniques. The chapter five investigates curve fitting using least squaresand linear reqression. The chapter six presents the topics of difference equa-tions and Z-transforms. The chapter seven concentrates on numerical differ-entiation and integration methods. Chapter eight examines numerical solu-tion techniques for solving ordinary differential equations and chapter nineconsiders numerical solution techniques for solving linear partial differentialequations. The chapter ten develops Monte Carlo techniques for simulatingand analyzing complex systems. The final chapter eleven presents parallelcomputing considerations together with selected miscellaneous topics. 507pp.8 × 10.