Edit Profile (opens in new tab) Christiansen, Søren Co-Author Distance Author ID: christiansen.soren Published as: Christiansen, Søren; Christiansen, S.; Christiansen, Soren; Christiansen, Soeren more...less Homepage: http://web.archive.org/web/20050314034109/http://www.imm.dtu.dk/~sc/ Documents Indexed: 43 Publications since 1968 Reviewing Activity: 117 Reviews Co-Authors: 13 Co-Authors with 14 Joint Publications 348 Co-Co-Authors all top 5 Co-Authors 29 single-authored 3 Albertsen, Niels Christian 2 Chesneaux, Jean-Marie 2 Hansen, Erik B. 2 Hansen, Per Christian 2 Kleinman, Ralph Ellis 2 Wirgin, Armand 1 Hougaard, Philip 1 Madsen, Per A. 1 Pedersen, Poul Wulff 1 Pontoppidan, K. 1 Saranen, Jukka 1 Sørensen, Stig Busk 1 Wendland, Wolfgang L. all top 5 Serials 11 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 6 Journal of Computational and Applied Mathematics 2 Applicable Analysis 2 Journal of the Institute of Mathematics and its Applications 2 Aplikace Matematiky 2 Applied Numerical Mathematics 2 Journal of Elasticity 2 IEEE Transactions on Antennas and Propagation 1 Acta Mechanica 1 Mathematical Methods in the Applied Sciences 1 Computing 1 Mathematics and Computers in Simulation 1 Mathematical Engineering in Industry 1 Interval Computations 1 BIT. Nordisk Tidskrift for Informationsbehandling all top 5 Fields 28 Numerical analysis (65-XX) 18 Partial differential equations (35-XX) 16 Integral equations (45-XX) 10 Potential theory (31-XX) 10 Mechanics of deformable solids (74-XX) 6 Fluid mechanics (76-XX) 4 Optics, electromagnetic theory (78-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 260 times in 156 Documents Cited by ▼ Year ▼ Integral equations without a unique solution can be made useful for solving some plane harmonic problems. Zbl 0309.45001 Christiansen, Soren 33 1975 The effective condition number applied to error analysis of certain boundary collocation methods. Zbl 0834.65033 Christiansen, Søren; Hansen, Per Christian 31 1994 Condition number of matrices derived from two classes of integral equations. Zbl 0485.65089 Christiansen, S. 28 1981 On two methods for elimination of non-unique solutions of an integral equation with logarithmic kernel. Zbl 0446.65061 Christiansen, Soren 25 1982 Numerical solution of an integral equation with a logarithmic kernel. Zbl 0229.65090 Christiansen, Soren 21 1971 The conditioning of some numerical methods for first kind boundary integral equations. Zbl 0854.65104 Christiansen, Søren; Saranen, Jukka 16 1996 Derivation and analytical investigation of three direct boundary integral equations for the fundamental biharmonic problem. Zbl 0935.65132 Christiansen, Søren 11 1998 Detecting non-uniqueness of solutions to biharmonic integral equations through SVD. Zbl 0985.65161 Christiansen, Søren 11 2001 A review of some integral equations for solving the Saint-Venant torsion problem. Zbl 0369.73008 Christiansen, Soren 8 1978 An investigation of a pair of integral equations for the biharmonic problem. Zbl 0391.35028 Christiansen, S.; Hougaard, P. 8 1978 On Kupradze’s functional equations for plane harmonic problems. Zbl 0339.31002 Christiansen, S. 7 1976 A direct integral equation method for computing the hoop stress at holes in plane isotropic sheets. Zbl 0301.73025 Christiansen, Soren; Hansen, Erik 5 1975 Numerical solution of boundary value problems through integral equations. Zbl 0394.65050 Christiansen, S.; Hansen, E. B. 5 1978 On the condition number of the influence matrix belonging to some first kind integral equations with logarithmic kernel. Zbl 0595.65124 Wendland, Wolfgang L.; Christiansen, Søren 5 1986 On truncated Taylor series and the position of their spurious zeros. Zbl 1084.76062 Christiansen, Søren; Madsen, Per A. 5 2006 An SVD analysis of linear algebraic equations derived from first kind integral equations. Zbl 0577.65116 Hansen, Per Christian; Christiansen, Søren 4 1985 On the elastostatic significance of four boundary integrals involving biharmonic functions. Zbl 0903.73010 Christiansen, S. 4 1998 Modifications of some first kind integral equations with logarithmic kernel to improve numerical conditioning. Zbl 0551.65093 Christiansen, S. 4 1985 An investigation of an integral equation method for determination of the shearing stress in Saint-Venant torsion. Zbl 0423.73059 Christiansen, S. 3 1979 Numerical treatment of an integral equation originating from a two- dimensional Dirichlet boundary value problem. Zbl 0438.65113 Christiansen, Soren 3 1980 Using interval methods to investigate a point collocation method for solving PDE-boundary value problems. Zbl 0838.65112 Christiansen, Søren; Pedersen, Poul Wulff 3 1992 How to suppress non-unique solutions to integral equations of the first kind. Zbl 0459.65095 Christiansen, S. 2 1980 Comparison of four software packages applied to a scattering problem. Zbl 0944.65541 Albertsen, Niels Christian; Chesneaux, Jean-Marie; Christiansen, Søren; Wirgin, Armand 2 1999 On Green’s theird identity as a basis for derivation of integral equations. Zbl 0308.45003 Christiansen, S. 2 1974 On a misconception involving point collocation and the Rayleigh hypothesis. Zbl 0947.78017 Christiansen, Søren; Kleinman, Ralph E. 2 1996 Development of saw-tooth instabilities on a moving boundary. Zbl 0575.65124 Christiansen, S. 2 1985 A stability analysis of a Eulerian solution method for moving boundary problems in electrochemical machining. Zbl 0713.65087 Christiansen, Søren 2 1990 An analysis of a moving boundary problem in porous flow. Zbl 0729.76541 Christiansen, S. 2 1991 Numerical determination of stresses in a finite or infinite plate with several holes of arbitrary form. Zbl 0214.24204 Christiansen, S. 2 1968 Numerical investigation of an integral equation of Hsiao and MacCamy. Zbl 0531.65076 Christiansen, S. 2 1983 On Kupradze’s functional equations for plane harmonic problems. Zbl 0303.31002 Christiansen, S. 1 1975 Derivation and investigation of fifth order quadrature formulas for biharmonic boundary integral operators. Zbl 0977.65109 Christiansen, Søren 1 2001 On truncated Taylor series and the position of their spurious zeros. Zbl 1084.76062 Christiansen, Søren; Madsen, Per A. 5 2006 Detecting non-uniqueness of solutions to biharmonic integral equations through SVD. Zbl 0985.65161 Christiansen, Søren 11 2001 Derivation and investigation of fifth order quadrature formulas for biharmonic boundary integral operators. Zbl 0977.65109 Christiansen, Søren 1 2001 Comparison of four software packages applied to a scattering problem. Zbl 0944.65541 Albertsen, Niels Christian; Chesneaux, Jean-Marie; Christiansen, Søren; Wirgin, Armand 2 1999 Derivation and analytical investigation of three direct boundary integral equations for the fundamental biharmonic problem. Zbl 0935.65132 Christiansen, Søren 11 1998 On the elastostatic significance of four boundary integrals involving biharmonic functions. Zbl 0903.73010 Christiansen, S. 4 1998 The conditioning of some numerical methods for first kind boundary integral equations. Zbl 0854.65104 Christiansen, Søren; Saranen, Jukka 16 1996 On a misconception involving point collocation and the Rayleigh hypothesis. Zbl 0947.78017 Christiansen, Søren; Kleinman, Ralph E. 2 1996 The effective condition number applied to error analysis of certain boundary collocation methods. Zbl 0834.65033 Christiansen, Søren; Hansen, Per Christian 31 1994 Using interval methods to investigate a point collocation method for solving PDE-boundary value problems. Zbl 0838.65112 Christiansen, Søren; Pedersen, Poul Wulff 3 1992 An analysis of a moving boundary problem in porous flow. Zbl 0729.76541 Christiansen, S. 2 1991 A stability analysis of a Eulerian solution method for moving boundary problems in electrochemical machining. Zbl 0713.65087 Christiansen, Søren 2 1990 On the condition number of the influence matrix belonging to some first kind integral equations with logarithmic kernel. Zbl 0595.65124 Wendland, Wolfgang L.; Christiansen, Søren 5 1986 An SVD analysis of linear algebraic equations derived from first kind integral equations. Zbl 0577.65116 Hansen, Per Christian; Christiansen, Søren 4 1985 Modifications of some first kind integral equations with logarithmic kernel to improve numerical conditioning. Zbl 0551.65093 Christiansen, S. 4 1985 Development of saw-tooth instabilities on a moving boundary. Zbl 0575.65124 Christiansen, S. 2 1985 Numerical investigation of an integral equation of Hsiao and MacCamy. Zbl 0531.65076 Christiansen, S. 2 1983 On two methods for elimination of non-unique solutions of an integral equation with logarithmic kernel. Zbl 0446.65061 Christiansen, Soren 25 1982 Condition number of matrices derived from two classes of integral equations. Zbl 0485.65089 Christiansen, S. 28 1981 Numerical treatment of an integral equation originating from a two- dimensional Dirichlet boundary value problem. Zbl 0438.65113 Christiansen, Soren 3 1980 How to suppress non-unique solutions to integral equations of the first kind. Zbl 0459.65095 Christiansen, S. 2 1980 An investigation of an integral equation method for determination of the shearing stress in Saint-Venant torsion. Zbl 0423.73059 Christiansen, S. 3 1979 A review of some integral equations for solving the Saint-Venant torsion problem. Zbl 0369.73008 Christiansen, Soren 8 1978 An investigation of a pair of integral equations for the biharmonic problem. Zbl 0391.35028 Christiansen, S.; Hougaard, P. 8 1978 Numerical solution of boundary value problems through integral equations. Zbl 0394.65050 Christiansen, S.; Hansen, E. B. 5 1978 On Kupradze’s functional equations for plane harmonic problems. Zbl 0339.31002 Christiansen, S. 7 1976 Integral equations without a unique solution can be made useful for solving some plane harmonic problems. Zbl 0309.45001 Christiansen, Soren 33 1975 A direct integral equation method for computing the hoop stress at holes in plane isotropic sheets. Zbl 0301.73025 Christiansen, Soren; Hansen, Erik 5 1975 On Kupradze’s functional equations for plane harmonic problems. Zbl 0303.31002 Christiansen, S. 1 1975 On Green’s theird identity as a basis for derivation of integral equations. Zbl 0308.45003 Christiansen, S. 2 1974 Numerical solution of an integral equation with a logarithmic kernel. Zbl 0229.65090 Christiansen, Soren 21 1971 Numerical determination of stresses in a finite or infinite plate with several holes of arbitrary form. Zbl 0214.24204 Christiansen, S. 2 1968 all cited Publications top 5 cited Publications all top 5 Cited by 171 Authors 21 Li, Zi-Cai 18 Christiansen, Søren 17 Huang, Hung-Tsai 14 Chen, Jeng-Tzong 8 Bonnet, Guy 8 Corfdir, Alain 7 Huang, Jin 7 Kao, Shing-Kai 7 Kuo, Shyh-Rong 6 Lee, Ming-Gong 6 Wei, Yimin 5 Chiang, John Y. 5 Heise, Ulrich 5 Lee, Ying-Te 5 Wendland, Wolfgang L. 4 Hansen, Per Christian 4 Hsiao, George Chia-Chu 4 Zhang, Liping 3 Athanasiadis, G. 3 Chang, Yu-Lung 3 Cheng, Alexander H.-D. 3 Dehghan Takht Fooladi, Mehdi 3 Jian, Jie 3 Ling, Leevan 3 Saranen, Jukka 2 Balakrishnan, Karthik 2 Barrera-Figueroa, Victor 2 Dijkstra, W. 2 Dreyfuss, Pierre 2 Fairweather, Graeme 2 Hansen, Erik B. 2 Hosseinzadeh, Hossein 2 Hu, Haichang 2 Hu, Hsin-Yun 2 Huang, Chieh-Sen 2 Irschik, Hans 2 Li, Hu 2 Lu, Tzontzer 2 Mattheij, Robert M. M. 2 Rabinovich, Vladimir Samuilovich 2 Ramachandran, Palghat A. 2 Rappaz, Jacques 2 Schmidt, Gunther 2 Sedaghatjoo, Zeynab 2 Sidi, Avram 2 Vodička, Roman 1 Adibi, Hojatollah 1 Albertsen, Niels Christian 1 Alves, Carlos J. S. 1 Amirfakhrian, Majid 1 Andrä, Heiko 1 Arghand, Muhammad 1 Assari, Pouria 1 Bandaru, Vinodh 1 Bialecki, Bernard 1 Boeck, Thomas 1 Chandler, Graeme A. 1 Chen, Chong 1 Chen, I-Lin 1 Chen, Jiun-Shyan 1 Chen, Yiwei 1 Chen, Yizhou 1 Cheng, Lizhi 1 Cheng, R. S.-C. 1 Chesneaux, Jean-Marie 1 Chi, Sheng-Wei 1 Chien, Cheng-Sheng 1 Chiu, Yi-Ping 1 Conley, Rebecca 1 Das, Shuvra 1 De Mey, Gilbert 1 Delaney, Tristan J. 1 Diao, Huaian 1 Didenko, Victor D. 1 Ding, Haojiang 1 Drombosky, Tyler W. 1 Elliott, Lionel 1 Fang, Qing 1 Graillat, Stef 1 Gu, Ming 1 Gutman, Semion 1 Haller, George 1 Han, Houde 1 He, Wenjun 1 He, Xiaoming 1 Hon, Yiu-Chung 1 Hong, Yongxing 1 Huang, Wensheng 1 Huang, Yi-Ling 1 Ingber, Marc S. 1 Ingham, Derek Binns 1 Israeli, Moshe 1 Jézéquel, Fabienne 1 Jiao, Xiangmin 1 Kalandiya, Apollon Iosifovich 1 Kansa, Edward J. 1 Kao, Jeng-Hong 1 Karageorghis, Andreas 1 Katsurada, Masashi 1 Khoromskiĭ, Boris Nikolaevich ...and 71 more Authors all top 5 Cited in 55 Serials 37 Engineering Analysis with Boundary Elements 16 Journal of Computational and Applied Mathematics 7 Computer Methods in Applied Mechanics and Engineering 7 Computing 7 Journal of Elasticity 6 Applied Numerical Mathematics 5 Acta Mechanica 4 Journal of Computational Physics 4 Mathematical Methods in the Applied Sciences 4 Journal of Integral Equations and Applications 3 Applicable Analysis 3 Applied Mathematics and Computation 3 Numerische Mathematik 3 Computational Mechanics 3 Journal of Scientific Computing 2 Ingenieur-Archiv 2 Applied Mathematical Modelling 2 Acta Mechanica Sinica. (English Edition) 2 Inverse Problems in Science and Engineering 1 Computers & Mathematics with Applications 1 International Journal of Engineering Science 1 Journal of Applied Mathematics and Mechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Aplikace Matematiky 1 BIT 1 Integral Equations and Operator Theory 1 International Journal for Numerical Methods in Engineering 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Zeitschrift für Analysis und ihre Anwendungen 1 Communications in Applied Numerical Methods 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Archive of Applied Mechanics 1 Communications in Numerical Methods in Engineering 1 Russian Journal of Mathematical Physics 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Mathematical Problems in Engineering 1 Nonlinear Dynamics 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Mathematics in Computer Science 1 Journal of Physics A: Mathematical and Theoretical 1 Advances in Mathematical Physics 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 Iranian Journal of Numerical Analysis and Optimization 1 AIMS Mathematics all top 5 Cited in 26 Fields 123 Numerical analysis (65-XX) 50 Partial differential equations (35-XX) 41 Mechanics of deformable solids (74-XX) 40 Integral equations (45-XX) 16 Potential theory (31-XX) 10 Fluid mechanics (76-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Operator theory (47-XX) 3 Functions of a complex variable (30-XX) 3 Approximations and expansions (41-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Probability theory and stochastic processes (60-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year