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Academic journal
Numerische Mathematik is a peer-reviewed mathematics journal on numerical analysis. It was established in 1959 and is published by Springer Science+Business
Numerische_Mathematik
Algorithm for finding a zero of a function
degree-computation method for a generalized method of bisection". Numerische Mathematik. 32 (2): 109–127. doi:10.1007/BF01404868. ISSN 0945-3245. Vrahatis
Bisection_method
German mathematician (born 1955)
several journals, including Linear Algebra and Its Applications and Numerische Mathematik. From 2019 to 2022 he was president of the European Mathematical
Volker_Mehrmann
Algorithms for zeros of functions
(1975-03-01). "Computing the topological degree of a mapping inRn". Numerische Mathematik. 25 (1): 23–38. doi:10.1007/BF01419526. ISSN 0945-3245. S2CID 122196773
Root-finding_algorithm
German mathematician (1910–1990)
Instituts für angewandte Mathematik der Universität Berlin – Band 3/Heft 1), Leipzig 1935 Eigenwertprobleme und ihre numerische Behandlung. Leipzig 1945
Lothar_Collatz
Numerical linear algebra algorithm
(1964). "Zur quadratischen Konvergenz des Jacobi-Verfahrens". Numerische Mathematik (in German). 6 (1): 410–412. doi:10.1007/BF01386091. MR 0174171
Jacobi_eigenvalue_algorithm
English mathematician (1931–2017)
"On the propagation of error in certain non-linear algorithms". Numerische Mathematik. 1 (1): 142–149. doi:10.1007/BF01386380. MR 0107988. S2CID 122078822
Peter_Wynn_(mathematician)
equations. Numerische Mathematik, 90(4), 755-773. Yamamoto, T. (1980). Error bounds for computed eigenvalues and eigenvectors. Numerische Mathematik, 34(2)
Validated_numerics
Process of repeating items in a self-similar way
23, 2016. Dijkstra, Edsger W. (1960). "Recursive Programming". Numerische Mathematik. 2 (1): 312–318. doi:10.1007/BF01386232. S2CID 127891023. Johnsonbaugh
Recursion
Swiss mathematician (1923–1987)
a number of scientific journals, including Numerische Mathematik and Zeitschrift für Angewandte Mathematik und Physik. In 1962, he was a speaker at the
Peter_Henrici_(mathematician)
Family of implicit and explicit iterative methods
Runge-Kutta process with eleven function evaluations per step", Numerische Mathematik, 16 (3): 268–277, doi:10.1007/BF02219778. Cooper, G.J.; Verner,
Runge–Kutta_methods
Method of smoothing using a spline function
Wahba, G. (1979). "Smoothing noisy data with spline functions". Numerische Mathematik. 31 (4): 377–403. doi:10.1007/bf01404567. "Restricted maximum likelihood
Smoothing_spline
Matrix decomposition
(1970). "Singular value decomposition and least squares solutions". Numerische Mathematik. 14 (5): 403–420. doi:10.1007/BF02163027. MR 1553974. Golub, Gene
Singular_value_decomposition
Swiss mathematician and computer scientist (1918–1970)
Quotienten-Differenzen-Algorithmus. Basel: Birkhäuser, 1957. Vorlesungen über numerische Mathematik. Band I: Gleichungssysteme, Interpolation und Approximation. Martin
Heinz_Rutishauser
German mathematician
completed her Ph.D. at the University of Bremen in 1992. Her dissertation, Numerische Verfahren zur diskreten trigonometrischen Polynomapproximation, was jointly
Heike_Fassbender
British applied mathematician (1932–2026)
"Balancing a matrix for calculation of eigenvalues and eigenvectors". Numerische Mathematik. 13 (4): 293–304. doi:10.1007/BF02165404. S2CID 122353612. Bunch
Beresford_Parlett
Foundational law of classical magnetism
finite element methods preserving ∇·B=0 exactly for MHD models". Numerische Mathematik. 135 (2): 371–396. doi:10.1007/s00211-016-0803-4. ISSN 0945-3245
Gauss's_law_for_magnetism
Numerical integration method
Curtis "A method for numerical integration on an automatic computer Numerische Mathematik 2, 197 (1960). J. P. Boyd, Chebychev and Fourier Spectral Methods
Clenshaw–Curtis_quadrature
Every square matrix with positive entries can be written in a certain standard form
"Scaling of matrices to achieve specified row and column sums." Numerische Mathematik. 12(1), 83–90. doi:10.1007/BF02170999 Sinkhorn, Richard, & Knopp
Sinkhorn's_theorem
Numerical problem-solving method
(2011), Numerische Mathematik (8. ed.), Wiesbaden: Vieweg+Teubner, pp. 350 f, ISBN 978-3-8348-1551-4 Robert Plato (2010), Numerische Mathematik kompakt
One-step_method
Algorithm for finding shortest paths
(1959). "A note on two problems in connexion with graphs" (PDF). Numerische Mathematik. 1: 269–271. CiteSeerX 10.1.1.165.7577. doi:10.1007/BF01386390.
Dijkstra's_algorithm
Square matrix where a[i,j]=1/(i+j-1)
real Vandermonde, Krylov and positive definite Hankel matrices". Numerische Mathematik. 85 (4): 553–577. CiteSeerX 10.1.1.23.5979. doi:10.1007/PL00005392
Hilbert_matrix
German mathematician
"Singular value decomposition and least squares solutions" (PDF). Numerische Mathematik. 14 (5). Springer Science and Business Media LLC: 403–420. doi:10
Christian_Reinsch
Performing order of mathematical operations
2023-09-17. (CACM Vol. 6 pp. 1–17; The Computer Journal, Vol. 9, p. 349; Numerische Mathematik, Vol. 4, p. 420.) Jones, Derek M. (2008) [2006]. "Developer beliefs
Order_of_operations
Mathematical operation in linear algebra
Volker Strassen (Aug 1969). "Gaussian elimination is not optimal". Numerische Mathematik. 13 (4): 354–356. doi:10.1007/BF02165411. S2CID 121656251. C.-C
Matrix_multiplication
Elementwise product of two matrices
Davis, Chandler (1962). "The norm of the Schur product operation". Numerische Mathematik. 4 (1): 343–44. doi:10.1007/bf01386329. S2CID 121027182. Million
Hadamard_product_(matrices)
Mathematical constant
(1987-09-01). "A low bound for the de Bruijn-newman constant Λ". Numerische Mathematik. 52 (5): 483–497. doi:10.1007/BF01400887. ISSN 0945-3245. S2CID 124008641
De_Bruijn–Newman_constant
(1983), "Order and stepsize control in extrapolation methods", Numerische Mathematik, 41 (3): 399–422, doi:10.1007/BF01418332, ISSN 0029-599X, S2CID 121911947
Bulirsch–Stoer_algorithm
Distance function defined between probability distributions
mechanics solution to the Monge-Kantorovich mass transfer problem". Numerische Mathematik. 84 (3): 375–393. doi:10.1007/s002110050002. ISSN 0945-3245. S2CID 1100384
Wasserstein_metric
Problem optimization method
(December 1959). "A note on two problems in connexion with graphs". Numerische Mathematik. 1 (1): 269–271. doi:10.1007/BF01386390. Eddy, S. R. (2004). "What
Dynamic_programming
Spatial analysis tools for geographic networks
(1959). "A note on two problems in connexion with graphs" (PDF). Numerische Mathematik. 1: 269–271. doi:10.1007/BF01386390. S2CID 123284777. "v.net.salesman
Transport_network_analysis
Concept in applied mathematics
nonoscillatory central scheme for hyperbolic conservation laws". Numerische Mathematik. 79 (3): 397–425. CiteSeerX 10.1.1.26.4631. doi:10.1007/s002110050345
Central_differencing_scheme
Matrix with shifting rows
of linear equations with Toeplitz and vector Toeplitz matrices", Numerische Mathematik, 13 (5): 404–424, doi:10.1007/BF02163269, S2CID 121761517 Goldreich
Toeplitz_matrix
About the convergence of Newton's method
a posteriori error estimates for Newton's method". Beiträge zur Numerische Mathematik. 12: 125–138. Yamamoto, T. (1986). "A method for finding sharp error
Kantorovich_theorem
'Best' approximation of a function by a rational function of given order
recursions which obtain among the quotients of the Padé table", Numerische Mathematik, 8 (3): 264–269, doi:10.1007/BF02162562, S2CID 123789548. Weisstein
Padé_approximant
German mathematician (1930–2025)
with Friedrich L. Bauer: "Zur numerischen Fourier-Transformation", Numerische Mathematik, vol. 1, 1959, 208–220. doi:10.1007/BF01386386. "Asymptotic expansions
Hans_Jörg_Stetter
Mathématiques Numerical Methods for Partial Differential Equations Numerische Mathematik Open Mathematics Open Systems & Information Dynamics Operations
List_of_mathematics_journals
Method for finding minimum spanning trees
1959), "A note on two problems in connexion with graphs" (PDF), Numerische Mathematik, 1 (1): 269–271, CiteSeerX 10.1.1.165.7577, doi:10.1007/BF01386390
Prim's_algorithm
Plotting by a computer application
(December 1959). "A note on two problems in connexion with graphs". Numerische Mathematik. 1 (1): 269–271. doi:10.1007/BF01386390. "5.7.1 Dijkstra Algorithm"
Pathfinding
Concept in topology
simplification of Stenger's topological degree formula" (PDF). Numerische Mathematik. 33 (2): 147–155. doi:10.1007/BF01399550. Retrieved 21 September
Degree of a continuous mapping
Degree_of_a_continuous_mapping
Dutch computer scientist (1930–2002)
(1959). "A Note on Two Problems in Connexion with Graphs" (PDF). Numerische Mathematik. 23 (3): 269–271. Bibcode:1959NuMat...1..269D. CiteSeerX 10.1.1
Edsger_W._Dijkstra
Methods for numerical approximations
from Commons Quotations from Wikiquote Textbooks from Wikibooks Numerische Mathematik, volumes 1–..., Springer, 1959– volumes 1–66, 1959–1994 (searchable;
Numerical_analysis
Research laboratory in Illinois, US
computing for scientific purposes. In the 1970s Argonne translated the Numerische Mathematik numerical linear algebra programs from ALGOL to Fortran and this
Argonne_National_Laboratory
Numerical integration method
Numerical Integration. Numerical quadrature by extrapolation", Numerische Mathematik, 9: 271–278, doi:10.1007/bf02162420 Mysovskikh, I.P. (2002) [1994]
Romberg's_method
Algorithm to compute rounding error
floating-point technique for extending the available precision". Numerische Mathematik. 18 (3): 224–242. doi:10.1007/BF01397083. S2CID 63218464. Archived
2Sum
Austrian mathematician
Ernst Hairer. Lubich has been a member of the editorial board of Numerische Mathematik since 1995, of Ricerche di Matematica and of the IMA Journal of
Christian_Lubich
Convergence of a Substructuring Method with Lagrange multipliers, Numerische Mathematik 73 (1996) 473-487 C. Farhat, A. Macedo, M. Lesoinne, A two-level
FETI
Data structure used in computer programs
should learn it". Dijkstra, E. W. (1960). "Recursive Programming". Numerische Mathematik. 2 (1): 312–318. doi:10.1007/BF01386232. Wilson, P. R.; Johnstone
Call_stack
German mathematician
from 1973-1981. He was Director of the "Institut für Numerische und instrumentelle Mathematik" of the Westfälische Wilhelms Universität, Münster, Germany
Frank_Natterer
Complex square matrix for which every principal minor is positive
R. B. (April 1972). "On complex eigenvalues ofM andP matrices". Numerische Mathematik. 19 (2): 170–175. doi:10.1007/BF01402527. Fang, Li (July 1989).
P-matrix
Dialect of Lisp
(January–April 1960). "Revised Report on the Algorithmic Language Algol 60". Numerische Mathematik, Communications of the ACM, and Journal of the British Computer
Scheme_(programming_language)
Integration method for oscillatory integrals
Xiang, Shuhuang (2007). "Efficient Filon-type methods for". Numerische Mathematik. 105: 633–658. doi:10.1007/s00211-006-0051-0. Domínguez, V.; Graham
Filon_quadrature
Method of data analysis
Dijkstra, E. W.: A note on two problems in connexion with graphs, Numerische mathematik, Vol. 1(1), pp. 269-271. 1959. Thrun, M. C., & Ultsch, A.: Uncovering
Clustering high-dimensional data
Clustering_high-dimensional_data
Matrix decomposition
Schönhage, A. (1972). "Unitäre Transformationen großer Matrizen". Numerische Mathematik. 20: 409–41. doi:10.1007/BF01402563. Knight, P. (1995). "Fast rectangular
QR_decomposition
(2016). "Multi-Index Monte Carlo: When Sparsity Meets Sampling". Numerische Mathematik. 132 (4): 767–806. arXiv:1405.3757. doi:10.1007/s00211-015-0734-5
Multilevel_Monte_Carlo_method
American mathematician
of boundary-value problems by the method of integral operators". Numerische Mathematik. 7 (1): 42–65. doi:10.1007/BF01397972. S2CID 115951870. Methods
John_George_Herriot
Programming language
1968: Report on the Algorithmic Language ALGOL 68 — Offprint from Numerische Mathematik, 14, 79–218 (1969); Springer-Verlag. — Edited by: A. van Wijngaarden
ALGOL_68
(1978). "Rank-one modification of the symmetric eigenproblem". Numerische Mathematik. 31: 31–48. doi:10.1007/BF01396012. S2CID 120776348. Golub, G. H
Bunch–Nielsen–Sorensen formula
Bunch–Nielsen–Sorensen_formula
German mathematician (born 1934)
JSTOR 3620937 "Fakultät für Informatik: Honorary Doctors". 14 July 2023. "Numerische Mathematik, Volume 68, Issue 1 - Springer". Monroe, James L. (June 2002). "Extrapolation
Josef_Stoer
Use of functions that call themselves
ISBN 0-262-51087-1. Dijkstra, Edsger W. (1960). "Recursive Programming". Numerische Mathematik. 2 (1): 312–318. doi:10.1007/BF01386232. S2CID 127891023. McCarthy
Recursion_(computer_science)
Real square matrix whose columns and rows are orthogonal unit vectors
February 3, 1975]. "The Economical Storage of Plane Rotations". Numerische Mathematik. 25 (2): 137–138. doi:10.1007/BF01462266. eISSN 0945-3245. ISSN 0029-599X
Orthogonal_matrix
Australian mathematician and educator (1943–1997)
numerical evaluation of certain Cauchy principal value integrals". Numerische Mathematik. 19 (5): 373–385. doi:10.1007/BF01404920. Retrieved 7 March 2026
David_Paget
Chinese mathematician
Klein–Gordon–Schrödinger equations in the nonrelativistic limit regime". Numerische Mathematik. 135 (3). Springer Science and Business Media LLC: 833–873. arXiv:1505
Weizhu_Bao
Austrian mathematician (born 1951)
"Efficient numerical methods in non-uniform sampling theory". Numerische Mathematik. 69 (4). Springer Science and Business Media LLC: 423–440. doi:10
Hans_Georg_Feichtinger
Method of solving a linear system of equations
(PDF) on 2017-05-17, retrieved 2009-06-15 Törnig, Willi (1979). Numerische Mathematik für Ingenieure und Physiker (1 ed.). Springer Berlin, Heidelberg
Successive_over-relaxation
Variant of floating-point numbers in computers
of real numbers" (PDF) (preprint). Institut für Angewandte und Numerische Mathematik – Karlsruhe Institute of Technology (KIT), Germany. ID 15/02. Archived
Unum_(number_format)
Technique for polynomial interpolation
B. Moler, Van Der Monde Systems and Numerical Differentiation, Numerische Mathematik 8 (1966) 458-464 (doi:10.1007/BF02166671) Neville, E.H.: Iterative
Neville's_algorithm
Academic journal
Computational and Applied Mathematics BIT Numerical Mathematics Numerische Mathematik Journals from the Society for Industrial and Applied Mathematics
Acta_Numerica
Mathematical theorem
Babuška, Ivo (1970–1971). "Error-bounds for finite element method". Numerische Mathematik. 16 (4): 322–333. doi:10.1007/BF02165003. ISSN 0029-599X. MR 0288971
Babuška–Lax–Milgram_theorem
American mathematician, electrical engineer, and computer scientist
Metropolis, N. "Continued Fraction Expansions of Algebraic Numbers." Numerische Mathematik 4, no. 1 (1962): 68–84. Devaney, Joseph J., Leona O. Bordwell, and
Marjorie_Devaney
Algorithm to calculate eigenvalues
Anders C. (2019). "On the infinite-dimensional QR algorithm". Numerische Mathematik. 143 (1): 17–83. arXiv:2011.08172. doi:10.1007/s00211-019-01047-5
QR_algorithm
Mathematical optimization algorithm
asymptotic directions of the s-dimensional optimum gradient method". Numerische Mathematik. 11: 57–76. doi:10.1007/BF02165472. Faber, Vance; Liesen, Jörg;
Conjugate_gradient_method
Fast Fourier Transform algorithm
transform algorithm suitable for vector and parallel processing". Numerische Mathematik. 68 (4): 507–547. CiteSeerX 10.1.1.54.5659. doi:10.1007/s002110050074
Cooley–Tukey_FFT_algorithm
Form of interpolation
(1975). "Norm Estimates for Inverses of Vandermonde Matrices". Numerische Mathematik. 23 (4): 337–347. doi:10.1007/BF01438260. S2CID 122300795. Higham
Polynomial_interpolation
analysis of the Landweber iteration for nonlinear ill-posed problems". Numerische Mathematik. 72 (1): 21–37. doi:10.1007/s002110050158. Eicke, B. (1992). "Iteration
Landweber_iteration
Austrian mathematician
Hairer, E.; Wanner, G. (1975). "A theory for Nyström methods". Numerische Mathematik. 25 (4): 383–400. doi:10.1007/BF01396335. ISSN 0029-599X. Hairer
Gerhard_Wanner
Numerical integration method
"Characterization of the speed of convergence of the trapezoidal rule", Numerische Mathematik, 57 (1): 123–138, doi:10.1007/BF01386402, ISSN 0945-3245, S2CID 122245944
Trapezoidal_rule
Algorithmic runtime requirements for matrix multiplication
Volker Strassen (Aug 1969). "Gaussian elimination is not optimal". Numerische Mathematik. 13 (4): 354–356. doi:10.1007/BF02165411. S2CID 121656251. Alman
Computational complexity of matrix multiplication
Computational_complexity_of_matrix_multiplication
Italian mathematician
Methods in Applied Sciences, as the editor-in-chief of Calcolo and of Numerische Mathematik, and as a member of the editorial staffs of numerous journals. He
Franco_Brezzi
Computational problem of graph theory
W. (1959). "A note on two problems in connexion with graphs". Numerische Mathematik. 1: 269–271. Bibcode:1959NuMat...1..269D. doi:10.1007/BF01386390
Shortest_path_problem
Data analysis method
(1 June 1999). "A Procrustes problem on the Stiefel manifold". Numerische Mathematik. 82 (4): 599–619. CiteSeerX 10.1.1.54.3580. doi:10.1007/s002110050432
L1-norm principal component analysis
L1-norm_principal_component_analysis
Motion of a curve based on its curvature
schemes for nonlinear parabolic equations and mean curvature motion", Numerische Mathematik, 75 (1): 17–41, doi:10.1007/s002110050228, MR 1417861. Daskalopoulos
Curve-shortening_flow
Technique in mathematical optimization
"Partitioning procedures for solving mixed-variables programming problems", Numerische Mathematik 4(3): 238–252. Lasdon, Leon S. (2002), Optimization Theory for Large
Benders_decomposition
American mathematician (1904–1993)
He was a member of the redactional committees for Psychometrika, Numerische Mathematik, Linear Algebra and Its Applications, and was editor in chief of
Alston_Scott_Householder
American mathematician (1895–1977)
method of the kernel function for solving boundary value problems, Numerische Mathematik 3, 1961 Integral operators in the theory of linear partial differential
Stefan_Bergman
Computational and Applied Mathematics BIT Numerical Mathematics Numerische Mathematik Journals from the Society for Industrial and Applied Mathematics
List of numerical analysis topics
List_of_numerical_analysis_topics
Mathematical software library
ISBN 978-0-07-463311-3. Retrieved 2016-05-30. Pöppe, Christoph (2000-09-01). "Numerische Mathematik: Rechnen mit garantierter Genauigkeit" [Numerical mathematics: Calculating
Karlsruhe_Accurate_Arithmetic
Dutch mathematician
"Partitioning procedures for solving mixed-variables programming problems." Numerische mathematik 4.1 (1962): 238–252. Gerard Alberts en Jan Schut (1994). Wiskunde
Jacques_F._Benders
Italian-Canadian computer scientist
"Circular arithmetic and the determination of polynomial zeros", Numerische Mathematik, 18 (4): 305–320, doi:10.1007/BF01404681, MR 0303707, S2CID 121125347
Irene_Gargantini
Romanian-American mathematician
Dumitriu, Ioana; Holtz, Olga (2007). "Fast linear algebra is stable". Numerische Mathematik. 108 (1): 59–91. arXiv:math/0612264. doi:10.1007/s00211-007-0114-x
Ioana_Dumitriu
Special function defined by an integral
(2012). "Computing Fresnel integrals via modified trapezium rules". Numerische Mathematik. 128 (4): 635–661. arXiv:1209.3451. Bibcode:2012arXiv1209.3451A
Fresnel_integral
Root-finding algorithm for polynomials
Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen". Numerische Mathematik. 8 (3): 290–294. doi:10.1007/BF02162564. S2CID 115307022. Prešić
Durand–Kerner_method
Dutch mathematician (born 1944)
Vorst (1986), "The rate of convergence of conjugate gradients", Numerische Mathematik, 48 (5): 543–560, doi:10.1007/BF01389450, S2CID 122190605 H.A. van
Henk_van_der_Vorst
Australian mathematician (born 1938)
number of journals including the SIAM Journal on Numerical Analysis, Numerische Mathematik, Advances in Computational Mathematics, Journal of Integral Equations
Ian_Sloan_(mathematician)
British applied mathematician
"A posteriori error estimators in the finite element method". Numerische Mathematik. 60 (4): 429–464. doi:10.1007/BF01385730. Ainsworth, Mark; Fu, Guosheng
Mark_Ainsworth
German numerical analyst
2009). "A block Newton method for nonlinear eigenvalue problems". Numerische Mathematik. 114 (2). Springer Science and Business Media LLC: 355–372. doi:10
Daniel_Kressner
American statistician
Grace (1978-12-01). "Smoothing noisy data with spline functions". Numerische Mathematik. 31 (4): 377–403. doi:10.1007/BF01404567. ISSN 0945-3245. S2CID 14094416
Grace_Wahba
graphs and approximation of bivariate functions by univariate ones". Numerische Mathematik. 39 (1): 65–84. doi:10.1007/BF01399312. ISSN 0945-3245. Chaturvedi
Minimum_mean_weight_cycle
divide and conquer method for unitary and orthogonal eigenproblems". Numerische Mathematik. 57: 695–718. doi:10.1007/BF01386438. hdl:10945/29823. S2CID 53684596
William_B._Gragg
"Computation of nonautonomous invariant and inertial manifolds" (PDF). Numerische Mathematik. 112 (3). Springer Science and Business Media LLC: 449–483. doi:10
Inertial_manifold
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