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Christiansen, Søren

Author ID: christiansen.soren Recent zbMATH articles by "Christiansen, Søren"
Published as: Christiansen, Søren; Christiansen, S.; Christiansen, Soren; Christiansen, Soeren
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

Publications by Year

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 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

Citations by Year