Acta Numerica Articles by Theme

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Acta Numerica Articles Arranged by Theme
In order to help you navigate the excellent research published in Acta Numerica over the last 17 years we have arranged the articles by theme. You can link directly to the abstracts of articles published after 2000 by clicking on them.

Themes
Numerical linear algebra
Approximation theory and computational harmonic analysis
Computational mechanics and other applications
Dynamical systems, computational geometry
Foundations,complexity, nonlinear equations
Integral equations, quadrature
Ordinary differential equations
Optimization
Partial differential equations
Stochastic and statistical calculations

Numerical linear algebra

Numerical solution of saddle point problems
M. Benzi, G. H. Golub & J. Liesen Volume 14 pp.1–137

The calculation of linear least squares problems
Å. Björck Volume 13 pp.1–53

Linear algebra algorithms as dynamical systems
M. T. Chu Volume 17 pp.1–86

Structured inverse eigenvalue problems
M. T. Chu & G. H. Golub Volume 11 pp. 1–85

Parallel numerical linear algebra
J. W. Demmel, M. T. Heath & H. A. van der Vorst Volume 2 pp.111–197

Geometric aspects of the theory of Krylov subspace methods
M. Eiermann & O. G. Ernst Volume 10 pp.251–312

Numerical linear algebra in data mining
L. Elden Volume 15 pp.327–384

Model reduction methods based on Krylov subspaces
R. W. Freund Volume 12 pp.267–319

Iterative solution of linear systems
R. W. Freund, G. H. Golub & N. M. Nachtigal Volume 1 pp. 57–100

Lanczos-type solvers for nonsymmetric linear systems of equations
M. H. Gutknecht Volume 6 pp.271–397

Relative perturbation results for matrix eigenvalues and singular values
I. C.F. Ipsen Volume 7 pp.151–201

The Lanczos and conjugate gradient algorithms in finite precision arithmetic
G. Meurant & Z. Strakos Volume 15 pp.471–542

The new qd algorithms
B. N. Parlett Volume 4 pp.459–491

Numerical methods for large eigenvalue problems
D. C. Sorensen Volume 11 pp.519–584

Computation of pseudospectra
L. N. Trefethen Volume 8 pp.247–295

Old and new convergence proofs for multigrid methods
H. Yserentant Volume 2 pp.285–326

 
Approximation theory and computational harmonic analysis

Multivariate piecewise polynomials
C. de Boor Volume 2 pp.65–109

A taste of Pade approximation
C. Brezinski & J. van Iseghem Volume 4 pp.53–103

Radial basis functions
M. D. Buhmann Volume 9 pp.1–38

Nonlinear approximation
R. A. DeVore Volume 7 pp.51–150

Wavelets
R. A. DeVore & B. J. Lucier Volume 1 pp.1–56

Aspects of the numerical analysis of neural networks
S.W. Ellacott Volume 3 pp.145–202

Orthogonal polynomials: applications and computation
W. Gautschi Volume 5 pp.45–119

Approximation theory of the MLP model in neural networks
A. Pinkus Volume 8 pp.143–195

Kernel techniques: From machine learning to meshless methods
R. Schaback & H. Wendland Voluem 15 pp.543–639

Filters, mollifiers and the computation of the Gibbs phenomenon
E. Tadmor Volume 16 pp. 305–378

Greedy approximation
V. N. Temlyakov Volume 17 pp. 235–409

Numerical aspects of special functions
N. M. Temme Volume 16 pp.379–478

Choices of norms for data fitting and function approximation
G. A. Watson Volume 7 pp.337–-377