Inverse and ill-posed problems, integral equations, BEM, applications in medicine.
Main publications:
A. M. Denisov, E. V. Zakharov, A. V. Kalinin, V. V. Kalinin Numerical Solution of the Inverse Electrocardiography Problem with the Use
of the Tikhonov Regularization Method // Moscow University Computational Mathematics and Cybernetics, 2008, Vol. 32, No. 2, pp. 61–68.
A. M. Denisov, E. V. Zakharov, A. V. Kalinin, “Method for determining projection of the arrhythmogenic focus on a heart surface based on solution of the inverse electrocardiography problem”, Matem. Mod., 24:4 (2012), 22–30; Math. Models Comput. Simul., 4:6 (2012), 535–540
A. M. Denisov, E. V. Zakharov, A. V. Kalinin, V. V. Kalinin, “Numerical solution of an inverse electrocardiography problem for a medium with a piecewise-constant electrical conductivity coefficient”, Zh. Vychisl. Mat. Mat. Fiz., 50:7 (2010), 1233–1239; Comput. Math. Math. Phys., 50:7 (2010), 1172–1177
E. V. Zakharov, A. V. Kalinin, “Method of boundary integral equations as applied to the numerical solution of the three-dimensional Dirichlet problem for the laplace equation in a piecewise homogeneous medium”, Zh. Vychisl. Mat. Mat. Fiz., 49:7 (2009), 1197–1206; Comput. Math. Math. Phys., 49:7 (2009), 1141–1150
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