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**22**.

## Article

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.

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.

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
,

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.

Johansson, B.T.; Lesnic, D. and Reeve, T.
(2011).
A method of fundamental solutions for the one-dimensional inverse Stefan problem.
*Applied Mathematical Modelling*, 35
(9),
4367–4378.

Johansson, B.T.; Lesnic, D. and Reeve, T.
(2011).
A comparative study on applying the method of fundamental solutions to the backward heat conduction problem.
*Mathematical and Computer Modelling*, 54
(1-2),
pp. 403-416.

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.

Everitt, W.N.; Johansson, B.T.; Littlejohn, L.L. and Markett, C.
(2009).
Quasi-separation of the biharmonic partial differential equation.
*IMA Journal of Applied Mathematics*, 74
(5),
pp. 685-709.

Ivanyshyn, O. and Johansson, B.T.
(2008).
Boundary integral equations for acoustical inverse sound-soft scattering.
*Journal of Inverse and Ill-Posed Problems*, 16
(1),
65–78.

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.

Carpio, A.; Johansson, B.T. and Rapún, M.-L.
Determining planar multiple sound-soft obstacles from scattered acoustic fields.
*Journal of Mathematical Imaging and Vision*, 36
(2),
pp. 185-199.

Chapko, R.; Johansson, B.T. and Vavrychuk, V.
Numerical solution of parabolic Cauchy problems in planar corner domains.
*Mathematics and Computers in Simulation*, 101
,
pp. 1-12.

Chapko, R.S.; Johansson, B.T. and Protsyuk, O.B.
On an indirect integral equation approach for stationary heat transfer in semi-infinite layered domains in R3 with cavities.
*Journal of Numerical and Applied Mathematics*, 105
(2),
pp. 4-18.

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

Needham, D.J.; Johansson, B.T. and Reeve, T.
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.

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

Chantasiriwan, S.; Johansson, B.T. and Lesnic, Daniel
The method of fundamental solutions for free surface Stefan problems.
*Engineering Analysis with Boundary Elements*, 33
(4),
pp. 529-538.

Hào, Dinh Nho; Johansson, B.T.; Lesnic, D. and Hien, Pham Minh
A variational method and approximations of a Cauchy problem for elliptic equations.
*Journal of Algorithms and Computational Technology*, 4
(1),
pp. 89-120.

## Book Section

Ivanyshyn, O. and Johansson, B.T.
(2008).
*Reconstruction of acoustically sound-hard obstacles from the far field using a boundary integral equation method.*
IN: Advanced topics in scattering and biomedical engineering.
Charalambopoulos, A.; Fotiadis, Dimitrios I. and Polyzos, D. (eds)
London (UK): World Scientific.

Johansson, B.T. and Lesnic, D.
(2007).
*The method of fundamental solutions for the exterior oblique derivative problem in potential theory.*
IN: Advances in boundary integral methods.
UNSPECIFIED.

Chapko, R.; Johansson, B.T. and Vavrychuk, V.
*A boundary integral equation methodfor a Cauchy problem for the heat equation in semi-infinite domains.*
IN: The 7th International Conference on Inverse Problems in Engineering.
Kassab, Alain J. and Divo, Eduardo A. (eds)
CENTECORP Publishing.

**Tue Sep 26 01:03:41 2017 BST**.