03498nam a2200565 u 4500001001200000003002700012005001700039007002400056008004100080020001800121050001000139100002100149245009700170260004300267300001100310653007200321653000900393653002000402653002200422653008200444653002500526653003600551653007200587653001300659653007000672653002500742653002200767653001400789653001300803653002600816653003500842653007100877653002300948653003400971700002901005041001901034989003801053490002401091500004801115028002601163773005801189773005701247773006001304773004701364773003301411773005701444856008701501082001401588520133001602EB001887677EBX0100000000000000105103800000000000000.0tu|||||||||||||||||||||191222 r ||| eng a9783110283112 4aQA3771 aDeuflhard, Peter00aAdaptive Numerical Solution of PDEshElektronische RessourcecPeter Deuflhard, Martin Weiser aBerlinbDe Gruyterc[2012]©2012, 2012 a432 p. a(DE-601)104653515 / (DE-588)4128130-5 / Numerisches Verfahren / gnd aPDEs aAdaptive Method aDifference Method a(DE-601)106204300 / (DE-588)4044779-0 / Partielle Differentialgleichung / gnd aScientific computing aMATHEMATICS / Applied / bisacsh aDifferential equations, Parabolic / Numerical solutions / Textbooks aNumerics a(DE-601)124246079 / (DE-588)4310560-9 / Adaptives Verfahren / gnd aScientific Computing aNumerical Methods aAlgorithm aAdaptive aFinite Element Method aPartial Differential Equations aDifferential equations, Elliptic / Numerical solutions / Textbooks aNumerical Solution aPartial Differential Equation1 aWeiser, Martine[author]07aeng2ISO 639-2 bGRUYMPGaDeGruyter MPG Collection0 aDe Gruyter Textbook aMode of access: Internet via World Wide Web50a10.1515/97831102831120 tE-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 20120 tDGBA Backlist Mathematics English Language 2000-20140 tDGBA Backlist Complete English Language 2000-2014 PART10 tE-BOOK GESAMTPAKET / COMPLETE PACKAGE 20120 tDGBA Mathematics 2000 - 20140 tE-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012 uhttps://www.degruyter.com/doi/book/10.1515/9783110283112?nosfx=yxVerlag3Volltext0 a515/.3533 aThis book deals with the general topic "Numerical solution of partial differential equations (PDEs)" with a focus on adaptivity of discretizations in space and time. By and large, introductory textbooks like "Numerical Analysis in Modern Scientific Computing" by Deuflhard and Hohmann should suffice as a prerequisite. The emphasis lies on elliptic and parabolic systems. Hyperbolic conservation laws are treated only on an elementary level excluding turbulence. Numerical Analysis is clearly understood as part of Scientific Computing. The focus is on the efficiency of algorithms, i.e. speed, reliability, and robustness, which directly leads to the concept of adaptivity in algorithms. The theoretical derivation and analysis is kept as elementary as possible. Nevertheless required somewhat more sophisticated mathematical theory is summarized in comprehensive form in an appendix. Complex relations are explained by numerous figures and illustrating examples. Non-trivial problems from regenerative energy, nanotechnology, surgery, and physiology are inserted. The text will appeal to graduate students and researchers on the job in mathematics, science, and technology. Conceptually, it has been written as a textbook including exercises and a software list, but at the same time it should be well-suited for self-study