Zeitschrift: Numerische Mathematik

2023

Kempf, Rüdiger ; Wendland, Holger:
High-dimensional approximation with kernel-based multilevel methods on sparse grids.
In: Numerische Mathematik. Bd. 154 (2023) Heft 3 . - S. 485-519.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-023-01363-x

2022

Bauer, Maximilian ; Bebendorf, Mario ; Feist, Bernd:
Kernel-independent adaptive construction of H²-matrix approximations.
In: Numerische Mathematik. Bd. 150 (2022) Heft 1 . - S. 1-32.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-021-01255-y

2019

Künemund, Jens ; Narcowich, Francis J. ; Ward, Joseph D. ; Wendland, Holger:
A high-order meshless Galerkin method for semilinear parabolic equations on spheres.
In: Numerische Mathematik. Bd. 142 (2019) . - S. 383-419.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-018-01021-7

2017

Rieger, Christian ; Wendland, Holger:
Sampling inequalities for sparse grids.
In: Numerische Mathematik. Bd. 136 (Juni 2017) Heft 2 . - S. 439-466.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-016-0845-7

Rez.:

AMS MatSciNet

2015

Bebendorf, Mario ; Kuske, Christian ; Venn, Raoul:
Wideband nested cross approximation for Helmholtz problems.
In: Numerische Mathematik. Bd. 130 (2015) Heft 1 . - S. 1-34.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-014-0656-7

2012

Bebendorf, Mario ; Venn, Raoul:
Constructing nested bases approximations from the entries of non-local operators.
In: Numerische Mathematik. Bd. 121 (2012) Heft 4 . - S. 609-635.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-012-0449-9

Le Gia, Q. T. ; Sloan, Ian H. ; Wendland, Holger:
Multiscale RBF collocation for solving PDEs on spheres.
In: Numerische Mathematik. Bd. 121 (2012) Heft 1 . - S. 99-125.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-011-0428-6

Rez.:

AMS MatSciNet

2011

Klapproth, Corinna ; Schiela, Anton ; Deuflhard, Peter:
Adaptive timestep control for the contact-stabilized Newmark method.
In: Numerische Mathematik. Bd. 119 (2011) Heft 1 . - S. 49-81.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-011-0374-3

Rez.:

AMS MathSciNet Zentralblatt

Schiela, Anton ; Günther, Andreas:
An interior point algorithm with inexact step computation in function space for state constrained optimal control.
In: Numerische Mathematik. Bd. 119 (2011) Heft 2 . - S. 373-407.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-011-0381-4

Rez.:

AMS MathSciNet Zentralblatt

2010

Wendland, Holger:
Multiscale analysis of Sobolev spaces on bounded domains.
In: Numerische Mathematik. Bd. 116 (September 2010) Heft 3 . - S. 493-517.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-010-0313-8

Rez.:

AMS MatSciNet

Klapproth, Corinna ; Schiela, Anton ; Deuflhard, Peter:
Consistency results on Newmark methods for dynamical contact problems.
In: Numerische Mathematik. Bd. 116 (2010) Heft 1 . - S. 65-94.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-010-0300-0

Rez.:

AMS MathSciNet Zentralblatt

2005

Wendland, Holger ; Rieger, Christian:
Approximate interpolation with applications to selecting smoothing parameters.
In: Numerische Mathematik. Bd. 101 (Oktober 2005) Heft 4 . - S. 729-748.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-005-0637-y

Rez.:

AMS MatSciNet

2004

Grüne, Lars:
Error estimation and adaptive discretization for the discrete stochastic Hamilton-Jacobi-Bellman equation.
In: Numerische Mathematik. Bd. 99 (2004) Heft 1 . - S. 85-112.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-004-0555-4

2003

Bebendorf, Mario ; Hackbusch, Wolfgang:
Existence of H-matrix approximants to the inverse FE-matrix of elliptic operators with L-coefficients.
In: Numerische Mathematik. Bd. 95 (2003) Heft 1 . - S. 1-28.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-002-0445-6

2001

Grüne, Lars ; Kloeden, Peter E.:
Higher order numerical schemes for affinely controlled nonlinear systems.
In: Numerische Mathematik. Bd. 89 (2001) . - S. 669-690.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s002110000279

2000

Bebendorf, Mario:
Approximation of boundary element matrices.
In: Numerische Mathematik. Bd. 86 (2000) Heft 4 . - S. 565-589.
ISSN 0029-599X
DOI: https://doi.org/10.1007/PL00005410

1997

Grüne, Lars:
An adaptive grid scheme for the discrete Hamilton-Jacobi-Bellman equation.
In: Numerische Mathematik. Bd. 75 (1997) Heft 3 . - S. 319-337.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s002110050241

1992

Miesbach, Stefan ; Pesch, Hans Josef:
Symplectic phase flow approximation for the numerical integration of canonical systems.
In: Numerische Mathematik. Bd. 61 (1992) Heft 1 . - S. 501-521.
ISSN 0029-599X
DOI: https://doi.org/10.1007/BF01385523

1981

Oberle, Hans Joachim ; Pesch, Hans Josef:
Numerical treatment of delay differential equations by Hermite Interpolation.
In: Numerische Mathematik. Bd. 37 (1981) Heft 2 . - S. 235-255.
ISSN 0029-599X
DOI: https://doi.org/10.1007/BF01398255

1977

Diekhoff, H. J. ; Lory, Peter ; Oberle, Hans Joachim ; Pesch, Hans Josef ; Rentrop, Peter ; Seydel, R.:
Comparing routines for the numerical solution of initial value problems of ordinary differential equations in multiple shooting.
In: Numerische Mathematik. Bd. 27 (1977) Heft 4 . - S. 449-469.
ISSN 0029-599X
DOI: https://doi.org/10.1007/BF01399607

Baptist, Peter ; Stoer, Josef:
On the Relation between Quadratic Termination and Convergence Properties of Minimization Algorithms : Part II. Applications.
In: Numerische Mathematik. Bd. 28 (1977) . - S. 367-391.
ISSN 0029-599X

1976

Deuflhard, Peter ; Pesch, Hans Josef ; Rentrop, Peter:
A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques.
In: Numerische Mathematik. Bd. 26 (1976) Heft 3 . - S. 327-343.
ISSN 0029-599X
DOI: https://doi.org/10.1007/BF01395950