04322nam 22006974a 450 991110974230332120251116174038.097866118992579781281899255128189925997898127033169812703314(CKB)1000000000334263(EBL)296061(OCoLC)476063160(SSID)ssj0000099227(PQKBManifestationID)11108336(PQKBTitleCode)TC0000099227(PQKBWorkID)10010867(PQKB)10706955(MiAaPQ)EBC296061(WSP)00001607 (Au-PeEL)EBL296061(CaPaEBR)ebr10174091(CaONFJC)MIL189925(Perlego)849346(EXLCZ)99100000000033426320050722d2005 uy 0engur|n|---|||||txtccrAdvances in the applications of nonstandard finite diffference schemes /editor, Ronald E. Mickens1st ed.Hackensack, NJ World Scientificc20051 online resource (665 p.)Description based upon print version of record.9789812564047 9812564047 Includes bibliographical references.Preface; CONTENTS; 1 Nonstandard Finite Difference Methods R. E. Mickens; 2 Application of Nonstandard Finite Difference Schemes to the Simulation Studies of Robotic Systems R. F. Abo-Shanab. N . Sepehri and C. Q. Wu; 3 Applications of Mickens Finite Differences to Several Related Boundary Value Problems R. Buckmire; 4 High Accuracy Nonstandard Finite-Difference Time- Domain Algorithms for Computational Electromagnetics: Applications to Optics and Photonics J. B. Cole5 Nonstandard Finite Difference Schemes for Solving Nonlinear Micro Heat Transport Equations in Double-Layered Metal Thin Films Exposed to Ultrashort Pulsed Lasers W. Dai6 Reliable Finite Difference Schemes with Applications in Mathematical Ecology D. T. Dimitrow. H . V . Kojouharov and B. M. Chen-Charpentier; 7 Applications of the Non-Standard Finite Difference Method in Non-Smooth Mechanics Y. Dumont; 8 Finite Difference Schemes on Unbounded Domains M. Ehrhardt9 Asymptotically Consistent Non-Standard Finite-Difference Methods for Solving Mathematical Models Arising in Population Biology A . B . Gumel, K . C . Patidar and R . J . Spiteri10 Nonstandard Finite Difference Methods and Biological Models S. R.-J. Jang; 11 Robust Discretizations versus Increase of the Time Step for Chaotic Systems C. Letellier and E. M. A. M. Mendes; 12 Contributions to the Theory of Non-Standard Finite Difference Methods and Applications to Singular Perturbation Problems J. M.-S. Luburna and K. C. Patidar13 Frequency Accurate Finite Difference Methods A. L. Perkins P. A. Orlin and F. Zand14 Nonstandard Discretization Methods on Lotka-Volterra Differential Equations L.-I. W. RoegerThis volume provides a concise introduction to the methodology of nonstandard finite difference (NSFD) schemes construction and shows how they can be applied to the numerical integration of differential equations occurring in the natural, biomedical, and engineering sciences. These methods had their genesis in the work of Mickens in the 1990's and are now beginning to be widely studied and applied by other researchers. The importance of the book derives from its clear and direct explanation of NSFD in the introductory chapter along with a broad discussion of the future directions needed to advDifferential equations, PartialNumerical solutionsDifferential equationsNumerical solutionsFinite differencesDifferential equations, PartialNumerical solutions.Differential equationsNumerical solutions.Finite differences.518/.64Mickens Ronald E.1943-497093MiAaPQMiAaPQMiAaPQBOOK9911109742303321Advances in the applications of nonstandard finite diffference schemes4746544UNINA