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pro vyhledávání: '"John A. Trangenstein"'
Autor:
John A. Trangenstein
This is the third of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses topics that depend more on calculus than linear algebra, in order to prepare the reader for solving different
Autor:
John A. Trangenstein
This is the second of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses more advanced topics than volume one, and is largely not a prerequisite for volume three. This book and its
Autor:
John A. Trangenstein
This is the first of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses basic principles of computation, and fundamental numerical algorithms that will serve as basic tools for the
Autor:
John A. Trangenstein
Publikováno v:
Texts in Computational Science and Engineering ISBN: 9783319691060
This chapter describes iterative methods for approximately solving systems of linear equations. This discussion begins by presenting the concept of a sparse matrix, where it arises and how it might be represented in a computer. Next, simple methods b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a53d3f185f344d58b4d3862d4a66a63
https://doi.org/10.1007/978-3-319-69107-7_2
https://doi.org/10.1007/978-3-319-69107-7_2
Autor:
John A. Trangenstein
Publikováno v:
Texts in Computational Science and Engineering ISBN: 9783319691091
This chapter is devoted to boundary value problems for ordinary differential equations. It begins with analysis of the existence and uniqueness of solutions to these problems, and the effect of perturbations to the problem. The first numerical approa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c1b08024b38b75b58a9f7c680f6bd327
https://doi.org/10.1007/978-3-319-69110-7_4
https://doi.org/10.1007/978-3-319-69110-7_4
Autor:
John A. Trangenstein
Publikováno v:
Texts in Computational Science and Engineering ISBN: 9783319691046
This chapter examines the linear optimization problem of finding the best solution to over-determined, underdetermined or rank-deficient systems of linear equations. The existence theory for these least squares problems is necessarily more complicate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5edfcec24279d6d84e03e9e3504ca687
https://doi.org/10.1007/978-3-319-69105-3_6
https://doi.org/10.1007/978-3-319-69105-3_6
Autor:
John A. Trangenstein
Publikováno v:
Texts in Computational Science and Engineering ISBN: 9783319691046
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::822436fb407f22735c3052026cc5fc36
https://doi.org/10.1007/978-3-319-69105-3
https://doi.org/10.1007/978-3-319-69105-3
Autor:
John A. Trangenstein
Publikováno v:
Texts in Computational Science and Engineering ISBN: 9783319691091
This chapter develops numerical methods for computing derivatives and integrals. Numerical differentiation of polynomials can be performed by synthetic division, or through special properties of trigonometric polynomials or orthogonal polynomials. Fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2131691aa0114038d196f42441f8db4e
https://doi.org/10.1007/978-3-319-69110-7_2
https://doi.org/10.1007/978-3-319-69110-7_2
Autor:
John A. Trangenstein
Publikováno v:
Texts in Computational Science and Engineering ISBN: 9783319691060
This chapter begins with the basic theory of eigenvalues and eigenvectors of matrices. Essential concepts such as characteristic polynomials, the Fundamental Theorem of Algebra, the Gerschgorin circle theorem, invariant subspaces, change of basis, sp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::672f92429173b835d58afa43166f594a
https://doi.org/10.1007/978-3-319-69107-7_1
https://doi.org/10.1007/978-3-319-69107-7_1
Autor:
John A. Trangenstein
Publikováno v:
Texts in Computational Science and Engineering ISBN: 9783319691091
This chapter is devoted to initial values problems for ordinary differential equations. It discusses theory for existence, uniqueness and continuous dependence on the data of the problem. Special techniques for linear ordinary differential equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6751e3605b78966b5d4deb3d4bb805c3
https://doi.org/10.1007/978-3-319-69110-7_3
https://doi.org/10.1007/978-3-319-69110-7_3