CADSOL swMATH ID: 7970 Software Authors: Schmauder, M; Schoenauer, W.; Weiss, R. Description: Diffusion through the human skin – an unexpected application of a PDE- black-box solver CADSOL (Cartesian Arbitrary Domain SOLver) is a black-box solver for the solution of arbitrary nonlinear systems of two-dimensional and three- dimensional elliptic and parabolic partial differential equations with arbitrary nonlinear boundary conditions on arbitrary domains with body- oriented grids. We will present an interesting CADSOL application arising in the current research of the pharmaceutical company Boehringer Ingelheim KG: Diffusion of drugs through the human skin, which has to be regarded in several layers. Homepage: http://www.mathtools.net/Other/Calculus/index.html Keywords: diffusion of drugs; CADSOL; nonlinear boundary conditions; pharmaceutical company Boehringer Ingelheim KG Related Software: PARDISO; COLSYS; LINSOL; VLUGR3; VLUGR2; Mathematica; Maple; Diffpack; MeshTV; PATRAN; GAMS; PVM; ELLPACK; PELLPACK; PDECOL; Maxima; ITPACK 2C; GEOMPACK; FIDISOL Cited in: 39 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Diffusion through the human skin – an unexpected application of a PDE- black-box solver. Zbl 0830.76066Schmauder, M. 1995 all top 5 Cited by 42 Authors 23 Kunz, Jutta 20 Kleihaus, Burkhard 17 Radu, Eugen 7 Herdeiro, Carlos A. R. 4 Ioannidou, Theodora 4 Navarro-Lérida, Francisco 4 Neemann, Ulrike 3 Ibadov, Rustam 2 Brihaye, Yves 2 Delsate, Térence 2 Myklevoll, Kari 2 Perapechka, Ilya 2 Schmauder, M. 2 Schönauer, Willi 2 Shnir, Yasha 1 Berti, Emanuele 1 Blázquez-Salcedo, Jose Luis 1 Catlin, Ann Christine 1 Collodel, Lucas G. 1 Dariescu, Ciprian 1 Dariescu, Marina-Aura 1 Delgado, Jorge F. M. 1 Gaitatzes, Margaret 1 Gutknecht, Martin H. 1 Houstis, Elias N. 1 Kahlen, Sarah 1 Kichakova, Olga 1 Öhman, Johan 1 Papachiou, P. N. 1 Paturyan, Vanush 1 Petersen, Anna Katinka 1 Rice, John R. 1 Rúnarsson, Helgi Freyr 1 Stelea, Cristian 1 Subagyo, Bintoro Anang 1 Tchrakian, D. H. 1 Trefry, M. G. 1 Wang, KoYang 1 Weerawarana, Sanjiva 1 Weiss, Rüdiger 1 Wirschins, Marion 1 Zakrzewski, Wojciech J. all top 5 Cited in 11 Serials 20 Physics Letters. B 6 Journal of High Energy Physics 3 Classical and Quantum Gravity 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 International Journal of Modern Physics D 1 General Relativity and Gravitation 1 Journal of Mathematical Physics 1 ACM Transactions on Mathematical Software 1 Applied Numerical Mathematics 1 Applied Mathematical Modelling 1 Gravitation & Cosmology all top 5 Cited in 12 Fields 29 Relativity and gravitational theory (83-XX) 14 Quantum theory (81-XX) 4 Partial differential equations (35-XX) 3 Numerical analysis (65-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX) Citations by Year