000			02035nam a22001937a 4500
005			20250602150509.0
008			250602b2012 |||||||| |||| 00| 0 eng d
020			_a9783110283105
082			_a515.3533 DEU-P
100			_aDeuflhard, Peter
245			_aAdaptoive numerical solution of PDFs / _cPeter Deuflhard and Martin Weiser
260			_aGermany _bDe Gruyter _c2012
300			_a421p.
500			_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.
650			_aDifferential equations, Elliptic--Numerical solutions--Textbooks.
650			_aDifferential equations, Parabolic--Numerical solutions--Textbooks.
650			_aDifferential equations, Parabolic Numerical solutions
650			_aMATHEMATICS Differential Equations Partial
999			_c93525 _d93525