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H. Yserentant.
Die Mehrstellenformeln für den Laplace-Operator.
Numer. Math., 34:171-187, 1980.
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H. Yserentant.
Außenraumprobleme und finite Elemente.
PhD thesis, Mathematisch-Naturwissenschaftliche Fakultät der
Rheinisch-Westfälischen Technischen Hochschule Aachen. 251 S. , 1981.
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H. Yserentant.
Die maximale Konsistenzordnung von Differenzenapproximationen
nichtnegativer Art.
Numer. Math., 42:119-123, 1983.
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H. Yserentant.
A remark on the numerical computation of improper integrals.
Computing, 30:179-183, 1983.
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H. Yserentant.
On the convergence of multi-level methods for strongly nonuniform
families of grids and any number of smoothing steps per level.
Computing, 30:305-313, 1983.
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K. Niederdrenk and H. Yserentant.
Die gleichmäßige Stabilität singulär gestörter diskreter
und kontinuierlicher Randwertprobleme.
Numer. Math., 41:223-253, 1983.
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H. Yserentant.
Über die Aufspaltung von Finite-Element-Räumen in
Teilräume verschiedener Verfeinerungsstufen. (On the splitting of
finite-element spaces in subspaces of different refinement levels).
PhD thesis, Mathematisch-Naturwissenschaftliche Fakultät der
Rheinisch- Westfälischen Technischen Hochschule Aachen. 81 S. , 1984.
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H. Yserentant.
Über die Konvergenz von Mehrgitterverfahren für nichtuniform
verfeinerte Familien von Gittern.
ZAMM, 64:324-326, 1984.
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H. Yserentant.
Über die Maximumnormkonvergenz der Methode der finiten Elemente
bei geringsten Regularitätsvoraussetzungen.
Z. Angew. Math. Mech., 65:91-101, 1985.
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H. Yserentant.
Hierarchical bases of finite-element spaces in the discretization of
nonsymmetric elliptic boundary value problems.
Computing, 35:39-49, 1985.
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H. Yserentant.
On the multi-level splitting of finite element spaces for indefinite
elliptic boundary value problems.
SIAM J. Numer. Anal., 23:581-595, 1986.
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H. Yserentant.
The convergence of multi-level methods for solving finite-element
equations in the presence of singularities.
Math. Comput., 47:399-409, 1986.
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H. Yserentant.
Hierarchical bases give conjugate gradient type methods a multigrid
speed of convergence.
Appl. Math. Comput., 19:347-358, 1986.
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H. Yserentant.
On the multi-level splitting of finite element spaces.
Numer. Math., 49:379-412, 1986.
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H. Yserentant.
Hierarchical bases in the numerical solution of parabolic problems.
In P. Deuflhard and B. Engquist, editors, Large scale
scientific computing, Proc. Meet., Oberwolfach/FRG 1985, Prog. Sci. Comput.
7, 22-36 . Birkhäuser, 1987.
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K. Niederdrenk and H. Yserentant.
Funktionen einer Veränderlichen. Analytische und numerische
Behandlung. (Functions of one variable. Analytical and numerical
treatment).
Rechnerorientierte Ingenieurmathematik. Braunschweig/Wiesbaden:
Friedr. Vieweg & Sohn. XII, 447 S.; DM 49.80 , 1987.
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W. Luther, K. Niederdrenk, F. Reutter, and H. Yserentant.
Gewöhnliche Differentialgleichungen. Analytische und
numerische Behandlung.
Rechnerorientierte Ingenieurmathematik. Braunschweig/Wiesbaden:
Friedr. Vieweg & Sohn. XII, 422 S.; DM 49.80 , 1987.
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R. E. Bank, T. F. Dupont, and H. Yserentant.
The hierarchical basis multigrid method.
Numer. Math., 52(4):427-458, 1988.
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H. Yserentant.
Preconditioning indefinite discretization matrices.
Numer. Math., 54(6):719-734, 1989.
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P. Deuflhard, P. Leinen, and H. Yserentant.
Concepts of an adaptive hierarchical finite element code.
IMPACT Comput. Sci. Eng., 1(1):3-35, 1989.
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R. E. Bank and H. Yserentant.
Some remarks on the hierachical basis multigrid method.
In T. Chan, R. Glowinski, and J. Periaux, editors, Domain
Decomposition Methods. SIAM, 1989.
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H. Yserentant.
Two preconditioners based on the multi-level splitting of finite
element spaces.
Numer. Math., 58(2):163-184, 1990.
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R. E. Bank, B. D. Welfert, and H. Yserentant.
A class of iterative methods for solving saddle point problems.
Numer. Math., 56(7):645-666, 1990.
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H. Yserentant.
Two multi-level methods for nonuniformly refined grids.
In E. Spedicato, editor, Computer algorithms for solving linear
algebraic equations. The state of the art, NATO ASI Ser., Ser. F 77, 161-167
. Springer, 1991.
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P. Leinen and H. Yserentant.
Two fast solvers based on the multi-level splitting of finite
element spaces.
In Multigrid methods III, Proc. 3rd Eur. Conf., Bonn/Ger. 1990,
ISNM 98, 83-90 . 1991.
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H. Yserentant.
Hierarchical bases.
In R. E. O'Malley, editor, ICAM 91. SIAM, 1992.
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H. Yserentant.
Old and new convergence proofs for multigrid methods.
Acta Numerica, pages 285-326, 1993.
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F. Bornemann and H. Yserentant.
A basic norm equivalence for the theory of multilevel methods.
Numer. Math., 64(4):455-476, 1993.
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R. Kornhuber and H. Yserentant.
Multilevel methods for elliptic problems on domains not resolved by
the coarse grid.
In Keyes, David E. (ed.) et al., Domain decomposition methods
in scientific and engineering computing. Proceedings of the 7th international
conference on domain decomposition, October 27-30, 1993, Pennsylvania State
University, PA, USA. Providence, RI: American Mathematical Society. Contemp.
Math. 180, 49-60 . American Mathematical Society, 1994.
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H. Yserentant.
A particle model of compressible fluids.
Numer. Math., 76:111-142, 1997.
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H. Yserentant.
A new class of particle methods.
Numer. Math., 76(1):87-109, 1997.
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H. Yserentant.
Entropy generation and shock resolution in the particle model of
compressible fluids.
Numer. Math., 82(1):161-177, 1999.
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H. Yserentant.
Particles of variable size.
Numer. Math., 82(1):143-159, 1999.
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H. Yserentant.
Coarse grid spaces for domains with a complicated boundary.
Numer. Algorithms, 21(1-4):387-392, 1999.
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H. Yserentant.
The particle model of compressible fluids.
In Fey, Michael (ed.) et al., Hyperbolic problems: Theory,
numerics, applications. Proceedings of the 7th international conference,
Zürich, Switzerland, February 1998. Vol. II. Basel: Birkhäuser. ISNM,
Int. Ser. Numer. Math. 130, 993-998 . Birkhäuser, 1999.
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C. Gauger, P. Leinen, and H. Yserentant.
The finite mass method.
SIAM J. Numer. Anal., 37(6):1768-1799, 2000.
[ .pdf ]
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H. Yserentant.
The propagation of sound in particle models of compressible fluids.
Numer. Math., 88(3):581-601, 2001.
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H. Yserentant.
The convergence of the finite mass method for flows in given force
and velocity fields.
In Griebel, Michael (ed.) et al., Meshfree methods for partial
differential equations. International workshop, Univ. Bonn, Germany,
September 11-14, 2001. . Springer, 2002.
[ .ps ]
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H. Yserentant.
The finite mass method, a new approach to the solution of flow
problems.
In M. Breuer, F. Durst, and C. Zenger, editors, High-Perfomance
Scientific and Engineering Computing. Springer, 2002.
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H. Yserentant.
On the electronic schrödinger equation.
Technical report, Universität Tübingen, 2003.
[ .ps ]
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H. Yserentant.
On the regularity of the electronic Schrödinger equation in
Hilbert spaces of mixed derivatives.
Numer. Math., 98(4):731-759, 2004.
[ .pdf ]
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H. Yserentant.
Sparse grid spaces for the numerical solution of the electronic
schrödinger equation.
Numer. Math., 101:381-389, 2005.
[ .pdf ]
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M. Klingler, P. Leinen, and H. Yserentant.
The finite mass method on domains with boundary.
SIAM J. Scient. Comput., 26:1744-1759, 2005.
[ .pdf ]
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T. Bubeck, R. Hiptmair, and H. Yserentant.
The finite mass mesh method.
Comput. Vis. Sci., 8:49-68, 2005.
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H. Yserentant.
Sparse grids, adaptivity, and symmetry.
Computing, 78:195-209, 2006.
[ .pdf ]
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S. Gebauer, R. Kornhuber, and H. Yserentant.
Hierarchical decomposition of domains with fractures.
Mathematics of Computation, 75:73-90, 2006.
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H. Yserentant.
The hyperbolic cross space approximation of electronic wavefunctions.
Numer. Math., 105:659-690, 2007.
[ .pdf ]
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M. Klingler, P. Leinen, and H. Yserentant.
A restart procedure for the finite mass method.
SIAM J. Sci. Comp., 30:117-133, 2007.
[ .pdf ]
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H. Yserentant.
Regularity properties of wavefunctions and the complexity of the
quantum-mechanical N-body problem.
Unpublished manuscript, November 2007.
[ .pdf ]
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H. Yserentant.
On the complexity of the electronic Schrödinger equation.
Technical report, DFG-Schwerpunktprogramm 1324, Preprint 50, 2010.
[ .pdf ]
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H. Yserentant.
Regularity and Approximability of Electronic Wave Functions.
Book manuscript; the original publication has appeared as volume 2000
of the Springer Lecture Notes in Mathematics series and is available at
www.springerlink.com, 2010.
[ .pdf ]
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H. Yserentant.
The Mixed Regularity of Electronic Wave Functions Multiplied by
Explicit Correlation Factors.
Technical report, DFG-Schwerpunktprogramm 1324, Preprint 49, 2010.
[ .pdf ]
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