Proceedings of the Third International Colloquium on Numerical Analysis

Plovdiv, Bulgaria, 13–17 August, 1994

Autori

• D. Bainov

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This book covers a range of advanced topics in numerical methods and mathematical analysis. It begins with methods for solving first-order partial differential equations with impulses and progresses to numerical solutions for singular nonlinear boundary value problems. The text includes a survey on continuous selections for metric projections and explores solutions to specific linear problems and algebraic polynomial operators. Advanced techniques for initial value problems are discussed, along with the construction of 3-D meshes using Delaunay triangulation. The book examines the convergence of finite volume schemes for nonlinear hyperbolic equations and provides an overview of QR methods for large least squares problems involving Kronecker products. It presents a conservative B-spline finite element method for the nonlinear Schrödinger equation and discusses global smoothness preservation through Bernstein polynomial blossoms. Additional topics include a four-point finite volume scheme for diffusion-convection problems, monotone iterations for nonlinear convection-diffusion equations, and an approach to automatic finite element mesh generation. The text also addresses numerical aspects of multivariate interpolation, S-convexity preserving interpolation using rational C1 splines, and essentially non-oscillatory methods for conservation laws. It includes algorithms for floating-point sums without round-off errors, multi-peak

Lingua: Inglese

Pubblicato: 1995