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28 Feb 2012: Synonyms. Computational mathematics, scientific computing, numerical mathematics, real-numbercomputation. Definition. The development of practical algorithms to obtain approximate solutions of mathe-matical problems and the validation of these

23 Sep 2022: We now informally define thegeneral concept of approximate computational problem in computational mathematics. ... The SCI hierarchy and the mathematical framework that comes with it has been very useful in order toestablish the boundaries of

5 Oct 2013: JOHN STRAIN. Department of Mathematics, University of California, Berkeley. Abstract. New deferred correction methods for the numerical solution of initial value problems in ordinary dif-ferential equations have recently been introduced ... P. Nørsett,

4 Jun 2019: Smale formulates the question in connection to foundations of computational mathematics anddiscusses different models of computation appropriate for the problem [5, 34]. ... Our contribution is part of a larger program on foundations ofcomputational

15 Feb 2017: 1 IntroductionThis paper is about the practical implementation of a new algorithm to approximate the eigenvalues andeigenfunctions {(λj,yλj)}jZ0 of regular Sturm–Liouville problems in Liouville’s normal form. ... α21 α22 > 0,. β21 β22 > 0. (1.2)

24 Nov 2006: email: A.Iserles@damtp.cam.ac.uk. 2Department of Mathematics, La Trobe University, Melbourne, Victoria 3086, Australia. ... linear ODEs and hence such numerical methods arevolume-preserving for linear source-free problems.

5 Oct 2013: JOHN STRAIN. Department of Mathematics, University of California, Berkeley. Abstract. New deferred correction methods for the numerical solution of initial value problems in ordinary dif-ferential equations have recently been introduced ... P. Nørsett,

15 Jun 2020: S. Smale initiated acomprehensive program on the foundations of computational mathematics in the 1980s [14, 99], focusingon problems in scientific computing rather than classical computer science. ... COMPUTING SPECTRA 15. 5. CONNECTIONS TO PREVIOUS WORK.

27 Jan 2008: where Xj is defined as in (2.1). Also,. supxK. ‖Xj(x)‖ C(. ... 8) and (4.4) in the proof of Theorem 4.2 in [14].

4 Jun 2019: Smale formulates the question in connection to foundations of computational mathematics anddiscusses different models of computation appropriate for the problem [5, 34]. ... Our contribution is part of a larger program on foundations ofcomputational