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**39**.

## Article

Chapko, Roman and Johansson, B. Tomas
(2018).
An iterative regularizing method for an incomplete boundary data problem for the biharmonic equation.
*ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik*, 98
(11),
pp. 2010-2021.

Johansson, B. Tomas
(2018).
Construction of sundials via vectors.
*International Journal of Mathematical Education in Science and Technology*
,
pp. 1-12.

Huntul, Mousa, Lesnic, Daniel and Johansson, Tomas
(2018).
Determination of an additive time- and space-dependent coefficient in the heat equation.
*International Journal of Numerical Methods for Heat and Fluid Flow*
,

Baravdish, George, Borachok, Ihor, Chapko, Roman, Tomas Johansson, B. and Slodička, Marián
(2018).
An iterative method for the Cauchy problem for second-order elliptic equations.
*International Journal of Mechanical Sciences*, 142-14
,
pp. 216-223.

Jaroudi, Rym, Baravdish, George, Johansson, B. Tomas and Åström, Freddie
(2018).
Numerical reconstruction of brain tumours.
*Inverse Problems in Science and Engineering*
,
pp. 1-21.

Chapko, Roman and Johansson, B. Tomas
(2018).
A boundary integral equation method for numerical solution of parabolic and hyperbolic Cauchy problems.
*Applied Numerical Mathematics*
,

Hussein, M.S., Lesnic, D., Johansson, B.T. and Hazanee, A.
(2017).
Identification of a multi-dimensional space-dependent heat source from boundary data.
*Applied Mathematical Modelling*, In pre
,

Johansson, B. Tomas
(2017).
An elementary algorithm to evaluate trigonometric functions to high precision.
*International Journal of Mathematical Education in Science and Technology*, in pre
,

Chapko, R. and Johansson, B.T.
(2017).
Boundary-integral approach to the numerical solution of the Cauchy problem for the Laplace equation.
*Ukrainian Mathematical Journal*, 68
(12),
pp. 1929-1948.

Johansson, B. Tomas
(2017).
Properties of a method of fundamental solutions for the parabolic heat equation.
*Applied Mathematics Letters*, 65
,
pp. 83-89.

Borachok, Ihor, Chapko, Roman and Johansson, B. Tomas
(2016).
Numerical solution of an elliptic 3-dimensional Cauchy problem by the alternating method and boundary integral equations.
*Journal of Inverse and Ill-Posed Problems*, 24
(6),
pp. 711-725.

Lesnic, D., Hussein, S.O. and Johansson, B.T.
(2016).
Inverse space-dependent force problems for the wave equation.
*Journal of Computational and Applied Mathematics*, 306
,
pp. 10-39.

Slodička, M. and Johansson, B. Tomas
(2016).
Uniqueness and counterexamples in some inverse source problems.
*Applied Mathematics Letters*, 58
,
pp. 56-61.

Marin, Liviu, Karageorghis, A, Lesnic, Daniel and Johansson, B. Tomas
(2016).
The method of fundamental solutions for problems in static thermo-elasticity with incomplete boundary data.
*Inverse Problems in Science and Engineering*, 25
(5),
pp. 652-673.

Ben Abda, A., Johansson, B.T. and Khalfallah, S.
(2016).
Leak identification in saturated unsteady flow via a Cauchy problem.
*Applied Mathematical Modelling*, In pre
,

Johansson, B. Tomas, Lesnic, Daniel and Reeve, Thomas
(2014).
A meshless method for an inverse two-phase one-dimensional nonlinear Stefan problem.
*Mathematics and Computers in Simulation*, 101
,
pp. 61-77.

Needham, D.J., Johansson, B.T. and Reeve, T.
(2014).
The development of a wax layer on the interior wall of a circular pipe transporting heated oil.
*Quarterly Journal of Mechanics and Applied Mathematics*, 67
(1),
pp. 93-125.

Helsing, Johan and Johansson, B. Tomas
(2011).
Fast reconstruction of harmonic functions from Cauchy data using the Dirichlet-to-Neumann map and integral equations.
*Inverse Problems in Science and Engineering*, 19
(5),
pp. 717-727.

Chapko, R., Johansson, B.T. and Vavrychuk, V.
(2011).
Recovering boundary data in planar heat conduction using boundary integral equation method.
*Electronic Journal of Boundary Elements*, 9
(1),
pp. 1-15.

Helsing, Johan and Johansson, B. Tomas
(2010).
Fast reconstruction of harmonic functions from Cauchy data using integral equation techniques.
*Inverse Problems in Science and Engineering*, 18
(3),
pp. 381-399.

Chapko, Roman, Johansson, B. Tomas and Sobeyko, Oleh
(2010).
On the numerical solution of a Cauchy problem in an elastostatic half-plane with a bounded inclusion.
*Computer Modeling in Engineering and Sciences*, 62
(1),
pp. 57-76.

Chapko, R.S., Johansson, B.T. and Kantor, I.S.
(2010).
An integral equation method for a mixed initial boundary value problem for unsteady Stokes system in a doubly-connected domain.
*Journal of Numerical and Applied Mathematics*, 100
(1),
pp. 29-39.

Johansson, B. Tomas and Marin, Liviu
(2009).
Relaxation of alternating iterative algorithms for the Cauchy problem associated with the modified Helmholtz equation.
*Computers Materials and Continua*, 13
(2),
pp. 153-190.

Chapko, R.S. and Johansson, Bjorn
(2009).
An alternating boundary integral based method for inverse potential flow around immersed bodies.
*Journal of Numerical and Applied Mathematics*, 97
(1),
pp. 10-25.

Chapko, R. and Johansson, B.T.
(2009).
An iterative method based on boundary integrals for elliptic Cauchy problems in semi-infinite domains.
*Electronic Journal of Boundary Elements*, 7
(1),
pp. 1-12.

Borman, D., Ingham, D.B., Johansson, B.T. and Lesnic, D.
(2009).
The method of fundamental solutions for detection of cavities in EIT.
*Journal of Integral Equations and Applications*, 21
(3),
pp. 383-406.

Chapko, R. and Johansson, B.T.
(2008).
An alternating potential based approach for a Cauchy problem for the Laplace equation in a planar domain with a cut.
*Computational Methods in Applied Mathematics*, 8
(4),
pp. 315-335.

Ivanyshyn, Olha and Johansson, Tomas
(2007).
Nonlinear integral equation methods for the reconstruction of an acoustically sound-soft obstacle.
*Journal of Integral Equations and Applications*, 19
(3),
pp. 289-308.

Johansson, Tomas and Lesnic, Daniel
(2006).
Reconstruction of a stationary flow from boundary data using iterative methods.
*European Journal of Applied Mathematics*, 17
(6),
pp. 651-663.

Johansson, Tomas and Lesnic, Daniel
(2006).
A variational conjugate gradient method for determining the fluid velocity of a slow viscous flow.
*Applicable Analysis*, 85
(11),
pp. 1327-1341.

Johansson, T.
(2006).
An iterative method for reconstruction of temperature.
*Journal of Inverse and Ill-Posed Problems*, 14
(3),
pp. 267-278.

Bastay, G., Johansson, T., Kozlov, V.A. and Lesnic, D.
(2006).
An alternating method for the stationary Stokes system.
*ZAMM*, 86
(4),
pp. 268-280.

Johansson, Tomas
(2006).
An iterative method for a Cauchy problem for the heat equation.
*IMA Journal of Applied Mathematics*, 71
(2),
pp. 262-286.

Johansson, Tomas
(2004).
An iterative procedure for solving a Cauchy problem for second order elliptic equations.
*Mathematische Nachrichten*, 272
(1),
pp. 46-54.

## Book Section

Jaroudi, Rym, Baravdish, George, Åström, Freddie and Johansson, B. Tomas
(2016).
*Source localization of reaction-diffusion models for brain tumors.*
IN: Pattern recognition.
Rosenhahn, Bodo and Andres, Bjoern (eds)
Lecture Notes in Computer Science
.
Cham (CH): Springer.

Lesnic, Daniel and Johansson, Tomas
(2006).
*Numerical solution of the Cauchy problem of stokes flow.*
IN: UNSPECIFIED
Banks, H.T.; Hasanov, A.; Kabanikhin, S.I. and Kunisch, K. (eds)
(TR): Literatür.

Johansson, T.
(2005).
*An iterative method for reconstruction of a temperature field.*
IN: UNSPECIFIED
Lesnic, Daniel (ed.)
Leeds (UK): Leeds University Press.

Johansson, T. and Lesnic, D.
(2005).
*A recursive boundary element based on method for the Cauchy problem in linear hydrodynamics.*
IN: UNSPECIFIED
Chen, Ke (ed.)
Liverpool (UK): University of Liverpool.

## Other

Johansson, Tomas
(2003).
*Reconstruction of flow and temperature from boundary data.*
LiU Electronic Press, Linköping (SW).

**Sat Jan 19 00:57:15 2019 GMT**.