03136nam 22005535 450 991052293790332120251113194521.03-030-85350-010.1007/978-3-030-85350-1(CKB)5490000000111306(MiAaPQ)EBC6796400(Au-PeEL)EBL6796400(OCoLC)1285782407(PPN)258297816(DE-He213)978-3-030-85350-1(EXLCZ)99549000000011130620211030d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierA Course on Integral Equations with Numerical Analysis Advanced Numerical Analysis /by Tofigh Allahviranloo, Armin Esfandiari1st ed. 2022.Cham :Springer International Publishing :Imprint: Springer,2022.1 online resource (222 pages)Mathematical Engineering,2192-47403-030-85349-7 Introduction 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.This 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.Mathematical Engineering,2192-4740Engineering mathematicsMathematicsData processingEngineering MathematicsComputational Science and EngineeringEngineering mathematics.MathematicsData processing.Engineering Mathematics.Computational Science and Engineering.515.45Allahviranloo Tofigh1077219Esfandiari ArminMiAaPQMiAaPQMiAaPQBOOK9910522937903321A Course on Integral Equations with Numerical Analysis2593993UNINA