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020 _a9783030853501
024 7 _a10.1007/978-3-030-85350-1
_2doi
040 _aTR-AnTOB
_beng
_erda
_cTR-AnTOB
041 _aeng
050 4 _aQA431
072 7 _aTBJ
_2bicssc
072 7 _aTEC009000
_2bisacsh
072 7 _aTBJ
_2thema
090 _aQA431EBK
100 1 _aAllahviranloo, Tofigh.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 2 _aA Course on Integral Equations with Numerical Analysis
_h[electronic resource] :
_bAdvanced Numerical Analysis /
_cby Tofigh Allahviranloo, Armin Esfandiari.
250 _a1st ed. 2022.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2022.
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematical Engineering,
_x2192-4740
505 0 _aIntroduction to Numerical Analysis -- Interval interpolation -- Orthogonal polynomials and Least square approximation -- Integral equations -- Numerical methods for Integral equations -- Numerical methods for Integral-differential equations -- Introduction to Interval Integral equations.
520 _aThis book suggests that the numerical analysis subjects’ matter are the important tools of the book topic, because numerical errors and methods have important roles in solving integral equations. Therefore, all needed topics including a brief description of interpolation are explained in the book. The integral equations have many applications in the engineering, medical, and economic sciences, so the present book contains new and useful materials about interval computations including interval interpolations that are going to be used in interval integral equations. The concepts of integral equations are going to be discussed in two directions, analytical concepts, and numerical solutions which both are necessary for these kinds of dynamic systems. The differences between this book with the others are a full discussion of error topics and also using interval interpolations concepts to obtain interval integral equations. All researchers and students in the field of mathematical, computer, and also engineering sciences can benefit the subjects of the book.
650 0 _aEngineering mathematics.
650 0 _aMathematics—Data processing.
650 1 4 _aEngineering Mathematics.
650 2 4 _aComputational Science and Engineering.
653 0 _aIntegral equations
653 0 _aNumerical analysis
700 1 _aEsfandiari, Armin.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
830 0 _aMathematical Engineering,
_x2192-4740
856 4 0 _uhttps://doi.org/10.1007/978-3-030-85350-1
_3Springer eBooks
_zOnline access link to the resource
942 _2lcc
_cEBK