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**33**.

## Article

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.

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

Grabski, Jakub Krzysztof; Lesnic, Daniel and Johansson, B. Tomas
(2016).
Identification of a time-dependent bio-heat blood perfusion coefficient.
*International Communications in Heat and Mass Transfer*, 75
,
pp. 218-222.

Chapko, Roman and Johansson, B. Tomas
(2016).
Numerical solution of the Dirichlet initial boundary value problem for the heat equation in exterior 3-dimensional domains using integral equations.
*Journal of Engineering Mathematics*, Early
,

Borachok, Ihor; Chapko, Roman and Johansson, B. Tomas
(2016).
Numerical solution of a Cauchy problem for Laplace equation in 3-dimensional domains by integral equations.
*Inverse Problems in Science and Engineering*, Latest
,

Johansson, B. Tomas
(2016).
Calculating the derivative of piecewise functions.
*International Journal of Mathematical Education in Science and Technology*, 47
(1),
pp. 144-148.

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.

Chapko, Roman and Johansson, B. Tomas
(2012).
On the numerical solution of a Cauchy problem for the Laplace equation via a direct integral equation approach.
*Inverse Problems and Imaging*, 6
(1),
25–38.

Johansson, B. Tomas; Lesnic, Daniel; Reeve, Thomas and Reeve, Thomas
(2011).
Numerical approximation of the one-dimensional inverse Cauchy–Stefan problem using a method of fundamental solutions.
*Inverse Problems in Science and Engineering*, 19
(5),
pp. 659-677.

Marin, Liviu and Johansson, B. Tomas
(2010).
Relaxation procedures for an iterative MFS algorithm for the stable reconstruction of elastic fields from Cauchy data in two-dimensional isotropic linear elasticity.
*International Journal of Solids and Structures*, 47
(25-26),
3462–3479.

Johansson, B. Tomas and Lesnic, Daniel
(2009).
A method of fundamental solutions for transient heat conduction in layered materials.
*Engineering Analysis with Boundary Elements*, 33
(12),
pp. 1362-1367.

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.

Johansson, B. Tomas and Kozlov, Vladimir A.
(2009).
An alternating method for Cauchy problems for Helmholtz-type operators in non-homogeneous medium.
*IMA Journal of Applied Mathematics*, 74
(1),
pp. 62-73.

Chapko, Roman and Johansson, B. Tomas
(2008).
An alternating boundary integral based method for a Cauchy problem for the Laplace equation in semi-infinite regions.
*Inverse Problems and Imaging*, 2
(3),
pp. 317-333.

Johansson, B. Tomas and Lesnic, Daniel
(2007).
A variational method for identifying a spacewise-dependent heat source.
*IMA Journal of Applied Mathematics*, 72
(6),
pp. 748-760.

Johansson, B. Tomas
Determining the temperature from Cauchy data in corner domains.
*International Journal of Computing Science and Mathematics*, 3
(1/2),
pp. 122-131.

Johansson, B. Tomas
Determining the temperature from incomplete boundary data.
*Mathematische Nachrichten*, 280
(16),
pp. 1765-1779.

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

Helsing, Johan and Johansson, B. Tomas
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, Roman; Johansson, B. Tomas and Sobeyko, Oleh
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.

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

Johansson, B. Tomas
Reconstruction of an unsteady flow from incomplete boundary data:Part I. Theory.
*International Journal of Numerical Methods for Heat and Fluid Flow*, 19
(1),
pp. 53-63.

Johansson, B. Tomas and Koslov, Vladimir A.
Solvability and asymptotics of the heat equation with mixed variable lateral conditions and applications in the opening of the exocytotic fusion pore in cells.
*IMA Journal of Applied Mathematics*, 79
(2),
pp. 377-392.

Chapko, Roman and Johansson, B. Tomas
An alternating boundary integral based method for a Cauchy problem for the Laplace equation in a quadrant.
*Inverse Problems in Science and Engineering*, 17
(7),
pp. 871-883.

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

Johansson, B. Tomas; Lesnic, Daniel and Reeve, Thomas
A method of fundamental solutions for radially symmetric and axisymmetric backward heat conduction problems.
*International Journal of Computer Mathematics*, 89
(11),
pp. 1555-1568.

Johansson, B. Tomas and Lesnic, Daniel
A method of fundamental solutions for transient heat conduction.
*Engineering Analysis with Boundary Elements*, 32
(9),
697–703.

Johansson, B. Tomas; Lesnic, Daniel and Reeve, Thomas
A method of fundamental solutions for two-dimensional heat conduction.
*International Journal of Computer Mathematics*, 88
(8),
pp. 1697-1713.

Johansson, B. Tomas
A procedure for the reconstruction of a stochastic stationary temperature field.
*IMA Journal of Applied Mathematics*, 73
(4),
pp. 641-650.

Marin, Liviu and Johansson, B. Tomas
A relaxation method of an alternating iterative algorithm for the Cauchy problem in linear isotropic elasticity.
*Computer Methods in Applied Mechanics and Engineering*, 199
(49-52),
pp. 3179-3196.

## Book Section

Johansson, B. Tomas; Lesnic, Daniel and Reeve, Thomas
(2011).
*A method of fundamental solutions for theaxisymmetric backward heat equation.*
IN: Advances in boundary integral methods: proceedings of the Eight UK Conference on Boundary Integral Methods.
UNSPECIFIED.

Johansson, B. Tomas and Sleeman, B.D.
(2008).
*A truncated boundary integral based Newton-CG procedure for sound-soft shape reconstruction.*
IN: Spring conference of the Institute of Acoustics 2008.
Proceedings of the Institute of Acoustics Institute of Acoustics
.
Institute of Acoustics.

Jaroudi, Rym; Baravdish, George; Åström, Freddie and Johansson, B. Tomas
*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.

**Sun Sep 24 01:01:27 2017 BST**.