286
A. Yu. Morozov and D. L. Reviznikov
2. Morozov, AYu., Reviznikov, D.L.: Adaptive interpolation algorithm based on a kd-tree
for numerical integration of systems of ordinary differential equations with interval initial
conditions. Diff. Eqn. 54(7), 945–956 (2018)
3. Morozov, AYu., Reviznikov, D.L., Gidaspov, VYu.: Adaptive interpolation algorithm based
on a kd-tree for the problems of chemical kinetics with interval parameters. Math. Models
Comput. Simul. 11(4), 622–633 (2019)
4. Morozov, AYu., Reviznikov, D.L.: Modelling of dynamic systems with interval parameters on
graphic processors. Programmnaya Ingeneria 10(2), 69–76 (2019)
5. Oseledets, I.V.: Tensor-train decomposition. SIAM J. Sci. Comput. 33(5), 2295–2317 (2011)
6. Oseledets, I., Tyrtyshnikov, E.: TT-cross approximation for multidimensional arrays. Linear
Algebra Appl. 432(1), 70–88 (2010)
7. Smolyak, S.A.: Quadrature and interpolation formulas on tensor products of certain classes of
functions]. Dokl. AN SSSR 148(5), 1042–1045(in Russian) (1963)
8. Goreinov, S.A., Tyrtyshnikov, E.E., Zamarashkin. N.L.: A theory of pseudoskeleton approximations. Linear Algebra Appl. 261(1–3), 1–21 (1997)
9. Tyrtyshnikov, E.: Incomplete cross approximation in the mosaic-skeleton method. Computing
64(4), 367–380 (2000)
10. Hitchcock, F.L.: The expression of a tensor or a polyadic as a sum of products. J. Math. Phys.
6(1), 164–189 (1927)
11. Tucker, L.R.: Some mathematical notes on three-mode factor analysis. Psychometrika 31,
279–311 (1966)
12. Gerstner, T., Griebel, M.: Sparse grids. In: Cont, R. (ed.) Encyclopedia of Quantitative Finance,
Wiley (2008)
13. Garcke, J.: Sparse grids in a nutshell. In: Garcke, J., Griebel, M. (eds.) Sparse Grids and
Applications. LNCSE, vol. 88, pp. 57–80. Springer, Berlin, Heidelberg (2013)
14. Brumm, J., Scheidegger, S.: Using adaptive sparse grids to solve high-dimensional dynamic
models. Econometrica 85(5), 1575–1612 (2017)
15. Bungatrz, H.-J., Griebel, M.: Sparse grids. Acta Numerica 13(1), 147–269 (2004)
A. Yu. Morozov and D. L. Reviznikov
2. Morozov, AYu., Reviznikov, D.L.: Adaptive interpolation algorithm based on a kd-tree
for numerical integration of systems of ordinary differential equations with interval initial
conditions. Diff. Eqn. 54(7), 945–956 (2018)
3. Morozov, AYu., Reviznikov, D.L., Gidaspov, VYu.: Adaptive interpolation algorithm based
on a kd-tree for the problems of chemical kinetics with interval parameters. Math. Models
Comput. Simul. 11(4), 622–633 (2019)
4. Morozov, AYu., Reviznikov, D.L.: Modelling of dynamic systems with interval parameters on
graphic processors. Programmnaya Ingeneria 10(2), 69–76 (2019)
5. Oseledets, I.V.: Tensor-train decomposition. SIAM J. Sci. Comput. 33(5), 2295–2317 (2011)
6. Oseledets, I., Tyrtyshnikov, E.: TT-cross approximation for multidimensional arrays. Linear
Algebra Appl. 432(1), 70–88 (2010)
7. Smolyak, S.A.: Quadrature and interpolation formulas on tensor products of certain classes of
functions]. Dokl. AN SSSR 148(5), 1042–1045(in Russian) (1963)
8. Goreinov, S.A., Tyrtyshnikov, E.E., Zamarashkin. N.L.: A theory of pseudoskeleton approximations. Linear Algebra Appl. 261(1–3), 1–21 (1997)
9. Tyrtyshnikov, E.: Incomplete cross approximation in the mosaic-skeleton method. Computing
64(4), 367–380 (2000)
10. Hitchcock, F.L.: The expression of a tensor or a polyadic as a sum of products. J. Math. Phys.
6(1), 164–189 (1927)
11. Tucker, L.R.: Some mathematical notes on three-mode factor analysis. Psychometrika 31,
279–311 (1966)
12. Gerstner, T., Griebel, M.: Sparse grids. In: Cont, R. (ed.) Encyclopedia of Quantitative Finance,
Wiley (2008)
13. Garcke, J.: Sparse grids in a nutshell. In: Garcke, J., Griebel, M. (eds.) Sparse Grids and
Applications. LNCSE, vol. 88, pp. 57–80. Springer, Berlin, Heidelberg (2013)
14. Brumm, J., Scheidegger, S.: Using adaptive sparse grids to solve high-dimensional dynamic
models. Econometrica 85(5), 1575–1612 (2017)
15. Bungatrz, H.-J., Griebel, M.: Sparse grids. Acta Numerica 13(1), 147–269 (2004)