{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T03:52:27Z","timestamp":1777607547856,"version":"3.51.4"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2010,2,21]],"date-time":"2010-02-21T00:00:00Z","timestamp":1266710400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[2010,6]]},"DOI":"10.1007\/s00607-010-0081-4","type":"journal-article","created":{"date-parts":[[2010,2,20]],"date-time":"2010-02-20T02:13:10Z","timestamp":1266631990000},"page":"1-29","source":"Crossref","is-referenced-by-count":30,"title":["Stability analysis of method of fundamental solutions for mixed boundary value problems of Laplace\u2019s equation"],"prefix":"10.1007","volume":"88","author":[{"given":"Zi-Cai","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jin","family":"Huang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hung-Tsai","family":"Huang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,2,21]]},"reference":[{"key":"81_CR1","doi-asserted-by":"crossref","first-page":"644","DOI":"10.1137\/0722040","volume":"22","author":"A Bogomolny","year":"1985","unstructured":"Bogomolny A (1985) Fundamental solutions method for elliptic boundary value problems. SIAM J Numer Anal 22: 644\u2013669","journal-title":"SIAM J Numer Anal"},{"key":"81_CR2","volume-title":"The method of fundamental solutions\u2014a meshless method","year":"2009","unstructured":"Chen, CS, Karageorghis, A, Smyrilis YS, (Eds) (2009) The method of fundamental solutions\u2014a meshless method. Dynamic Publishers, Inc., USA"},{"key":"81_CR3","unstructured":"Christiansen S (1976) On Kupradze\u2019s functional equations for plane harmonic problems. In: Gilbert RP, Weinacht R (eds) Function theoretic method in differential equations. London, Research Notes in Mathematics, vol. 8, pp. 205\u2013243"},{"key":"81_CR4","doi-asserted-by":"crossref","first-page":"364","DOI":"10.1002\/mma.1670030126","volume":"3","author":"S Christiansen","year":"1981","unstructured":"Christiansen S (1981) Condition number of matrices derived from two classes of integral equations. Math Methods Appl Sci 3: 364\u2013392","journal-title":"Math Methods Appl Sci"},{"key":"81_CR5","volume-title":"Circulant matrices","author":"PJ Davis","year":"1979","unstructured":"Davis PJ (1979) Circulant matrices. Wiley, New York"},{"key":"81_CR6","first-page":"315","volume-title":"Methods of numerical integration, 2nd edn","author":"PJ Davis","year":"1984","unstructured":"Davis PJ, Rabinowitz P (1984) Methods of numerical integration, 2nd edn. Academic Press, New York, p 315"},{"key":"81_CR7","volume-title":"Tables of integrals, series and products","author":"IS Gradshteyan","year":"1965","unstructured":"Gradshteyan IS, Ryzhik ZM (1965) Tables of integrals, series and products. Academic Press, New York"},{"key":"81_CR8","first-page":"135","volume":"36","author":"M Katsurada","year":"1989","unstructured":"Katsurada M (1989) A mathematical study of the charge simulation method II. J Fac Sci Univ Tokyo, Sect IA Math 36: 135\u2013162","journal-title":"J Fac Sci Univ Tokyo, Sect IA Math"},{"key":"81_CR9","first-page":"635","volume":"37","author":"M Katsurada","year":"1990","unstructured":"Katsurada M (1990) Asymptotic error analysis of the charge simulation method in a Jordan region with an analytical boundary. J Fac Sci Univ Tokyo, Sect IA Math 37: 635\u2013657","journal-title":"J Fac Sci Univ Tokyo, Sect IA Math"},{"key":"81_CR10","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1007\/BF03167213","volume":"11","author":"M Katsurada","year":"1994","unstructured":"Katsurada M (1994) Charge simulation method using exterior mapping functions. Jpn J Ind Appl Math 11: 47\u201361","journal-title":"Jpn J Ind Appl Math"},{"key":"81_CR11","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/0377-0427(91)90175-J","volume":"38","author":"T Kitagawa","year":"1991","unstructured":"Kitagawa T (1991) Asymptotic stability of the fundamental solution methods. J Comput Appl Math 38: 263\u2013269","journal-title":"J Comput Appl Math"},{"key":"81_CR12","unstructured":"Kupradze VD (1963) Potential methods in elasticity. In: Sneddon JN, Hill R (eds) Progress in solid mechanics, vol III. Amsterdam, pp 1\u2013259"},{"key":"81_CR13","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1007\/s10444-004-1782-z","volume":"23","author":"X Li","year":"2005","unstructured":"Li X (2005) On convergence of the method of fundamental solutions for solving the Dirichlet problem of Poisson\u2019s equation. Adv Comput Math 23: 265\u2013277","journal-title":"Adv Comput Math"},{"key":"81_CR14","volume-title":"Combined methods for elliptic equations with singularities, interface and infinities","author":"ZC Li","year":"1998","unstructured":"Li ZC (1998) Combined methods for elliptic equations with singularities, interface and infinities. Academic Publishers, Dordrecht"},{"key":"81_CR15","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1016\/j.cam.2008.09.027","volume":"228","author":"ZC Li","year":"2009","unstructured":"Li ZC (2009) The method of fundamental solutions for annular shaped domains. J Comput Appl Math 228: 355\u2013372","journal-title":"J Comput Appl Math"},{"key":"81_CR16","unstructured":"Li ZC (2009) The fundamental solutions for Laplace\u2019s equation with mixed boundary condition. In: Chen CS, Karageorghis A, Smyrlis YS (eds) The method of fundamental solutions\u2014a meshless method, Chap 2. Dynamic Publishers, Inc., USA, pp 29\u201349"},{"key":"81_CR17","doi-asserted-by":"crossref","first-page":"208","DOI":"10.1016\/j.cam.2005.11.037","volume":"198","author":"ZC Li","year":"2007","unstructured":"Li ZC, Chien CS, Huang HT (2007) Effective condition number for finite difference method. J Comput Appl Math 198: 208\u2013235","journal-title":"J Comput Appl Math"},{"key":"81_CR18","volume-title":"Trefftz and collocation methods","author":"ZC Li","year":"2008","unstructured":"Li ZC, Lu TT, Hu HT, Cheng AH-D (2008) Trefftz and collocation methods. MIT, Southampton"},{"key":"81_CR19","first-page":"486","volume":"24","author":"ZC Li","year":"1987","unstructured":"Li ZC, Mathon R, Sermer P (1987) Boundary methods for solving elliptic problems with singularities and interfaces. SIAM J Numer Anal 24: 486\u2013497","journal-title":"SIAM J Numer Anal"},{"key":"81_CR20","first-page":"1378","volume":"28","author":"TT Lu","year":"2004","unstructured":"Lu TT, Hu HY, Li ZC (2004) Highly accurate solutions of Motz\u2019s and cracked-beam problems. Eng Anal Bound Elem 28: 1378\u20131403","journal-title":"Eng Anal Bound Elem"},{"key":"81_CR21","volume-title":"An introduction to the mathematical theory of finite elements","author":"JT Oden","year":"1976","unstructured":"Oden JT, Reddy JN (1976) An introduction to the mathematical theory of finite elements. Wiley, New York"},{"key":"81_CR22","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1023\/A:1012873712701","volume":"16","author":"YS Smyrilis","year":"2001","unstructured":"Smyrilis YS, Karageorghis A (2001) Some aspect of the method of fundamental solutions for certain harmonic problems. J Sci Comput 16: 341\u2013371","journal-title":"J Sci Comput"},{"key":"81_CR23","doi-asserted-by":"crossref","first-page":"495","DOI":"10.1051\/m2an:2004023","volume":"38","author":"YS Smyrilis","year":"2004","unstructured":"Smyrilis YS, Karageorghis A (2004) Numerical analysis of the MFS for certain harmonic problems. ESAIM: Math Model Numer Anal 38: 495\u2013517","journal-title":"ESAIM: Math Model Numer Anal"}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-010-0081-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00607-010-0081-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-010-0081-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T14:30:22Z","timestamp":1559140222000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00607-010-0081-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,2,21]]},"references-count":23,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2010,6]]}},"alternative-id":["81"],"URL":"https:\/\/doi.org\/10.1007\/s00607-010-0081-4","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,2,21]]}}}