01047nam a2200289 i 450099100100990970753620020507181555.0981214s1973 uk ||| | eng 0297994784b10788529-39ule_instLE01305692ExLDip.to Matematicaeng330.0151AMS 90AArchibald, George Christopher111583An introduction to a mathematical treatment of economics /G. C. Archibals and Richard G. Lipsey2nd edLondon :Weidenfeld and Nicolson,c1973506 p. ;23 cm.Mathematical economicsLipsey, Richard G..b1078852921-09-0628-06-02991001009909707536LE013 90A ARC11 (1973)12013000106168le013-E0.00-l- 00000.i1088889528-06-02Introduction to a Mathematical Treatment of Economics686130UNISALENTOle01301-01-98ma -enguk 3103198oam 2200469 450 991029997570332120190911103511.01-4471-5460-610.1007/978-1-4471-5460-0(OCoLC)863823003(MiFhGG)GVRL6XWI(EXLCZ)99255000000115145820131018d2014 uy 0engurun|---uuuuatxtccrAnalysis of finite difference schemes for linear partial differential equations with generalized solutions /Bosko S. Jovanovic, Endre Suli1st ed. 2014.London :Springer,2014.1 online resource (xiii, 408 pages) illustrationsSpringer Series in Computational Mathematics,0179-3632 ;46"ISSN: 0179-3632."1-4471-5459-2 Includes bibliographical references and index.Distributions and function spaces -- Elliptic boundary-value problems -- Finite difference approximation of parabolic problems -- Finite difference approximation of hyperbolic problems.This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions. Finite difference methods are a classical class of techniques for the numerical approximation of partial differential equations. Traditionally, their convergence analysis presupposes the smoothness of the coefficients, source terms, initial and boundary data, and of the associated solution to the differential equation. This then enables the application of elementary analytical tools to explore their stability and accuracy. The assumptions on the smoothness of the data and of the associated analytical solution are however frequently unrealistic. There is a wealth of boundary – and initial – value problems, arising from various applications in physics and engineering, where the data and the corresponding solution exhibit lack of regularity. In such instances classical techniques for the error analysis of finite difference schemes break down. The objective of this book is to develop the mathematical theory of finite difference schemes for linear partial differential equations with nonsmooth solutions. Analysis of Finite Difference Schemes is aimed at researchers and graduate students interested in the mathematical theory of numerical methods for the approximate solution of partial differential equations.Springer series in computational mathematics ;46.Boundary value problemsDifferential equations, PartialNumerical solutionsBoundary value problems.Differential equations, PartialNumerical solutions.515.353Jovanović Boško Sauthttp://id.loc.gov/vocabulary/relators/aut524657Suli Endre1956-MiFhGGMiFhGGBOOK9910299975703321Analysis of Finite Difference Schemes2512149UNINA