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2020
Jaroudi, Rym, Åström, Freddie, Johansson, B. Tomas and Baravdish, George (2020). Numerical simulations in 3-dimensions of reaction–diffusion models for brain tumour growth. International Journal of Computer Mathematics, 97 (6), pp. 1151-1169.
Chapko, Roman, Johansson, B. Tomas and Mindrinos, Leonidas (2020). On a boundary integral solution of a lateral planar Cauchy problem in elastodynamics. Journal of Computational and Applied Mathematics, 367 ,
2019
Johansson, B. Tomas (2019). Construction of sundials via vectors. International Journal of Mathematical Education in Science and Technology, 50 (4), pp. 617-628.
Jaroudi, Rym, Baravdish, George, Johansson, B. Tomas and Åström, Freddie (2019). Numerical reconstruction of brain tumours. Inverse Problems in Science and Engineering, 27 (3), pp. 278-298.
2018
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.
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, 28 (6), pp. 1352-1373.
Chapko, Roman and Johansson, B. Tomas (2018). A boundary integral equation method for numerical solution of parabolic and hyperbolic Cauchy problems. Applied Numerical Mathematics, 129 , pp. 104-119.
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.
Hussein, M.S., Lesnic, D., Johansson, B.T. and Hazanee, A. (2018). Identification of a multi-dimensional space-dependent heat source from boundary data. Applied Mathematical Modelling, 54 , pp. 202-220.
Johansson, B. Tomas (2018). An elementary algorithm to evaluate trigonometric functions to high precision. International Journal of Mathematical Education in Science and Technology, 49 (1), pp. 131-137.
2017
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.
2016
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.
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 . DEU: Springer.
Slodička, M. and Johansson, B. Tomas (2016). Uniqueness and counterexamples in some inverse source problems. Applied Mathematics Letters, 58 , pp. 56-61.
Ben Abda, A., Johansson, B.T. and Khalfallah, S. (2016). Leak identification in saturated unsteady flow via a Cauchy problem. Applied Mathematical Modelling, 41 , pp. 25-36.
2014
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.
2011
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.
2010
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.
2009
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.
2008
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.
2007
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.
2006
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.
2005
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.