LEADER 04211nam 22006374a 450 001 9910783927403321 005 20230617010219.0 010 $a1-281-89925-9 010 $a9786611899257 010 $a981-270-331-4 035 $a(CKB)1000000000334263 035 $a(EBL)296061 035 $a(OCoLC)476063160 035 $a(SSID)ssj0000099227 035 $a(PQKBManifestationID)11108336 035 $a(PQKBTitleCode)TC0000099227 035 $a(PQKBWorkID)10010867 035 $a(PQKB)10706955 035 $a(MiAaPQ)EBC296061 035 $a(WSP)00001607 035 $a(Au-PeEL)EBL296061 035 $a(CaPaEBR)ebr10174091 035 $a(CaONFJC)MIL189925 035 $a(EXLCZ)991000000000334263 100 $a20050722d2005 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aAdvances in the applications of nonstandard finite diffference schemes$b[electronic resource] /$feditor, Ronald E. Mickens 210 $aHackensack, NJ $cWorld Scientific$dc2005 215 $a1 online resource (665 p.) 300 $aDescription based upon print version of record. 311 $a981-256-404-7 320 $aIncludes bibliographical references. 327 $aPreface; 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. Cole 327 $a5 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. Ehrhardt 327 $a9 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. Patidar 327 $a13 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. Roeger 330 $aThis 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 adv 606 $aDifferential equations, Partial$xNumerical solutions 606 $aDifferential equations$xNumerical solutions 606 $aFinite differences 615 0$aDifferential equations, Partial$xNumerical solutions. 615 0$aDifferential equations$xNumerical solutions. 615 0$aFinite differences. 676 $a518/.64 701 $aMickens$b Ronald E.$f1943-$0497093 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910783927403321 996 $aAdvances in the applications of nonstandard finite diffference schemes$93729105 997 $aUNINA