Timo Eirola; research activities
Research field: Numerical Analysis, consisting of
analysis of numerical solution methods of differential equations,
numerical approximation of invariant manifolds of dynamical systems,
iterative methods of linear algebra, and numerics of optimal control.
Some publications:
- K. Baarman, T. Eirola, and V. Havu: Acceleration of ensemble DFT computations, submitted
- K. Baarman, T. Eirola, and V. Havu: Quasi-Newton minimization by Householder transforms on the Grassman manifold, submitted
- Timo Eirola, Harri Varpanen: Pyörivän laatikon paluu. Arkhimedes 2, (2012)
- K. Baarman, T. Eirola, and V. Havu: Robust acceleration of self consistent field calculations for density functional theory, J. Chem. Phys. 134, no. 13 (2011)
- I. Norros, H. Reittu, and T. Eirola: On the stability of two-chunk file-sharing systems, Queueing Systems 67, 183-206 (2011)
- Torsti, T., Eirola, T., Enkovaara, J., Hakala, T., Havu,
P., Havu, V., Höynälänmaa, T., Ignatius,
J.,Lyly, M., Makkonen, I., Rantala, T., Ruotsalainen, K.,
Räsänen, E., Saarikoski, H., Puska, M.J., Three real-space discretization
techniques in electronic structure calculations,
Physica Status Solidi (b) 243,
1016-1053 (2006).
- T. Eirola and J. von Pfaler: Numerical
Taylor expansions for invariant manifolds,
Numer. Math. 99
no. 1, 25-46, 2004.
- T. Eirola, M. Huhtanen, and J. von Pfaler:
Solution
methods for R-linear problems in C^n, SIAM J.
Matrix Anal. and
Appl. 25,
no. 3, 804-828, 2003.
- T. Eirola, J. Tuomela, K. Riihimäki, M.
Heiliö, and H.
Haario:
Mathematical model for single-pass crossflow heat exhanger,
Workshop on Industrial Mathematics, Tampere, Oct. 2002.
- T. Eirola:
A refined
polar decomposition: A=UPD, SIAM J. Matrix Anal.
and Appl. 22,
no. 3, 824-836, 2001.
- L. Dieci and T. Eirola: Applications of smooth
orthogonal
decompositions of matrices, IMA Volumes in Math. and Appl. 119,
141-162, 1999.
- L. Dieci and T. Eirola:
On smooth
decompositions of matrices, SIAM J. Matrix Anal.
and Appl. 20,
800-819, 1999.
- T. Eirola:
Detection
of generic one parameter bifurcations of Hamiltonian equilibria.
Applied Numerical Mathematics 29, 129-143, 1999.
- T. Eirola, O. Nevanlinna, and S. Yu. Pilyugin:
Limit
shadowing property, Numer. Funct. Analysis and Opt.
18,
75-92, 1997.
- H. Saarikoski, R-P. Salmio, J. Saarinen, T. Eirola, and A.
Tervonen:
Fast numerical solution of nonlinear diffusion equation
for the
simulation of ion-exchanged micro-optics components in glass,
Optics Communications 134, 362-370,
(1997)
- T. Eirola and S. Pilyugin:
Pseudotrajectories generated by a discretization of a parabolic equation,
J. of Dynamics and Diff. Eqs. 8, 281-297 (1996)
- T. Eirola, A.V. Osipov, and G. Söderbacka:
Chaotic
regimes in a dynamical system of the type many predators one prey,
HUT Math. Report A368, (1996)
- L. Dieci and T. Eirola:
Preserving monotonicity in the numerical solution of Riccati
differential equations, Numer. Math. 74,
35-48 (1996)
- T. Eirola:
Incomplete corrections with selfadjoint operators,
Avtomatika
i Telemehanika no 11, 99-108, 1995. In
Russian,
- T. Eirola:
Monotonicity of quadratic forms with symplectic
Runge-Kutta methods,
Applied Numer. Math. 17, 293-298 (1995).
- T. Eirola, A.M. Krasnosel'skii, M.A. Krasnosel'skii, N.A.
Kuznetsov, and O. Nevanlinna:
Incomplete
corrections in nonlinear problems, Nonlinear
Analysis, Theory, Methods & Appl. 25,
717-728 (1995).
- L. Dieci and T. Eirola:
Positive definiteness in the numerical solution of Riccati and Lyapunov
equations, Numer. Math. 67,
303-313 (1994).
- T. Eirola:
Aspects
of backward error analysis in numerical ODE's, J.
of Comp. and
Applied Mathematics 45, 65-73 (1993).
- T. Eirola and J. M. Sanz-Serna: Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods. Numer. Math. 61, 281-290 (1992)
- T. Eirola:
Sobolev
characterisation of the solutions of dilation equations,
SIAM
J. Math. Anal. 23, 1015-1030, (1992).
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Timo.Eirola@aalto.fi