Computación y Sistemas Vol. 8 Núm. 2, pp. 162-175 © 2004, CIC-IPN, ISSN 1405-5546, Impreso en México PH. D. THESIS ABSTRACT +, ! "# . - $%%&' ( ) * Graduated on: January 20, 2004 !" +, ! "# /01$. - # ( 23 4 6&( 7 7 ,( 7 +, -8 . $%%&' ( ) $ !" * % 5 //%00% ( ( 4 ,( 445 2 , ; 9 , : 9 : ! : 9 ; : 2 2 ) : , : & ' ( 3 < + " , = < < < , = 9 =, , =, : = = = < 9 : : 8 ": ? = = * 8 > ? < @ , = " < = , : = = =, =, = ) * A : : 9 9 : : !B : : 162 :, ; Accurate Flexible Numerical Boundary Conditions for Multidimensional Transport and Diffusion ; : : 7 2 C: 2 D ; 9 2 E 2 ) /006D; : : ) 4 :, , , 2 /0%$F /00' A ) 7 : ! 2 7 ) 7 ) ! 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E ! + +) ! // > E > + ! # 66 /00/ /61H,/6'& /6 '' &" * + ; /$ > E > + G61,G&' ) , ' ! % ( C : ',/6 6$$& % : 7 3 ( *33C 6 > ' 3 ! 453; 6'& ( ), &00,G$G > ' +9 !! " ! ( 4 BC> G' /0'6 /'6,/00 ! ( * > ;CB 3 : % % : * 2 : ( * > ;CB C & # 6/,61 6$$& G1 1 ! E 8 ). E ; : 7 3 + : ; 3 ( 2 E . 0, + + /00H % ( 1)/ I /0H' /0'H 2 173 , / /006 /0'0 Denis Filatov /' 3 B ;3I MCB /001 6/6,661 /0 3 B ;3I 1&6 MCB 6$ 3 B ;3I , MCB ,> 3 +) ! 6/ /000 /HH,6$H 6/ ( I5 ( , 3 4% -#$ /0'6 G%,16 66 ( ( I5 0 C , / /0'G 0%,/$/ +) B : * 2 5 : ; 2 # , 3 % 6% /00' GH1, , #% : % 4 174 $ : 4 ! //H % ( : 32,,- # " B5N 3 Accurate Flexible Numerical Boundary Conditions for Multidimensional Transport and Diffusion Denis Filatov. He obtained a Master’s Degree in applied mathematics from Moscow State Geological Prospecting Academy (MGRI-MGGA) in 1999. In 2004 he defended his Ph.D. thesis having obtained a Doctor’s Degree in computer science from the Centre for Computing Research (CIC) of the National Polytechnic Institute (IPN), Mexico. Member of the National System of Researchers (SNI) of Mexico. His fields of interest include lineal and nonlinear fluid dynamics, numerical methods for PDEs, mathematical modelling with applications to environmental problems, and related disciplines. Prof., Dr. Mikhail Alexandrov. He is a specialist in the field of numerical methods for partial differential equations with applications to atmospheric sciences. Research professor at the Centre for Computing Research (CIC) of the National Polytechnic Institute (IPN), Mexico. Leader of a series of scientific projects of the CONACyT (National Council on Science and Technics) and CGPI-IPN on numerical modelling in environment and ecology. Author of a large number of papers and tutorials for M.Sc. and Ph.D. students. Prof., Dr. Sc. Mikhail Yudin. He is a famous specialist in mathematical modelling of electromagnetic fields in inhomogeneous media. He has developed a number of modifications of the Schwarz alternating method for numerical solution to primal multidimensional problems of geoelectrics; suggested effective computational schemes incorporated in the finite element method taking into account the character of the solution’s behaviour in spatial directions. Software developed at his scientific group is utilised for highly accurate modelling in various educational and industrial centres in Russia and Europe. Author of more than 60 scientific papers including four books and a monograph. 175
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