001454930 000__ 03561nam\a22005177i\4500
001454930 001__ 1454930
001454930 003__ OCoLC
001454930 005__ 20230314003235.0
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001454930 007__ cr\cn\nnnunnun
001454930 008__ 230301s2023\\\\sz\\\\\\ob\\\\001\0\eng\d
001454930 020__ $$a9783031210501$$q(electronic bk.)
001454930 020__ $$a3031210506$$q(electronic bk.)
001454930 020__ $$z3031210492
001454930 020__ $$z9783031210495
001454930 0247_ $$a10.1007/978-3-031-21050-1$$2doi
001454930 035__ $$aSP(OCoLC)1371438383
001454930 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX
001454930 049__ $$aISEA
001454930 050_4 $$aQA377.3
001454930 08204 $$a515/.353$$223/eng/20230301
001454930 1001_ $$aJin, Bangti,$$eauthor.
001454930 24510 $$aNumerical treatment and analysis of time-fractional evolution equations /$$cBangti Jin, Zhi Zhou.
001454930 264_1 $$aCham, Switzerland :$$bSpringer,$$c2023.
001454930 300__ $$a1 online resource (370 pages) :$$billustrations (colour).
001454930 336__ $$atext$$btxt$$2rdacontent
001454930 337__ $$acomputer$$bc$$2rdamedia
001454930 338__ $$aonline resource$$bcr$$2rdacarrier
001454930 4901_ $$aApplied mathematical sciences ;$$vvolume 214
001454930 504__ $$aIncludes bibliographical references and index.
001454930 5050_ $$aExistence, Uniqueness, and Regularity of Solutions -- Semidiscrete Discretization -- Convolution Quadrature -- Finite Difference Methods: Construction and Implementation -- Finite Difference Methods on Uniform Meshes -- Finite Difference Methods on Graded Meshes -- Nonnegativity Preservation -- Discrete Fractional Maximal Regularity -- Subdiffusion with time-dependent coefficients -- Semilinear Subdiffusion Equations -- Time-Space Formulation and Finite Element Approximation -- A Spectral Petrov-Galerkin Method -- Incomplete Iterative Solution at the Time Levels -- Optimal Control with Subdiffusion Constraint -- Backward Subdiffusion Problems -- Appendix: Mathematical Preliminaries.
001454930 506__ $$aAccess limited to authorized users.
001454930 520__ $$aThis book discusses numerical methods for solving time-fractional evolution equations. The approach is based on first discretizing in the spatial variables by the Galerkin finite element method, using piecewise linear trial functions, and then applying suitable time stepping schemes, of the type either convolution quadrature or finite difference. The main concern is on stability and error analysis of approximate solutions, efficient implementation and qualitative properties, under various regularity assumptions on the problem data, using tools from semigroup theory and Laplace transform. The book provides a comprehensive survey on the present ideas and methods of analysis, and it covers most important topics in this active area of research. It is recommended for graduate students and researchers in applied and computational mathematics, particularly numerical analysis.
001454930 588__ $$aDescription based on print version record.
001454930 650_0 $$aEvolution equations.
001454930 650_0 $$aFractional differential equations.
001454930 655_0 $$aElectronic books.
001454930 7001_ $$aZhou, Zhi,$$eauthor.
001454930 77608 $$iPrint version:$$aJIN, BANGTI. ZHOU, ZHI.$$tNUMERICAL TREATMENT AND ANALYSIS OF TIME -FRACTIONAL EVOLUTION EQUATIONS.$$d[Place of publication not identified] : SPRINGER INTERNATIONAL PU, 2023$$z3031210492$$w(OCoLC)1347260792
001454930 830_0 $$aApplied mathematical sciences (Springer-Verlag New York Inc.) ;$$vv. 214.
001454930 852__ $$bebk
001454930 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-21050-1$$zOnline Access$$91397441.1
001454930 909CO $$ooai:library.usi.edu:1454930$$pGLOBAL_SET
001454930 980__ $$aBIB
001454930 980__ $$aEBOOK
001454930 982__ $$aEbook
001454930 983__ $$aOnline
001454930 994__ $$a92$$bISE