TY - JOUR
T1 - An orthonormal basis functions method for moment problems
AU - Hon, Y. C.
AU - Wei, T.
PY - 2002/12
Y1 - 2002/12
N2 - In this paper, a new computational method is developed to recover an unknown function from its moments with respect to general kernel functions. By using the Gram-Schmidt orthonormalization technique, our method is shown to be efficient and can be interpreted as a generalization of the Talenti method. Convergence and error estimates are also discussed. For the purposes of verification and application, the method is applied to solve both Cauchy problem for Laplace equation and a Fredholm integral equation of the first kind. © 2002 Elsevier Science Ltd. All rights reserved.
AB - In this paper, a new computational method is developed to recover an unknown function from its moments with respect to general kernel functions. By using the Gram-Schmidt orthonormalization technique, our method is shown to be efficient and can be interpreted as a generalization of the Talenti method. Convergence and error estimates are also discussed. For the purposes of verification and application, the method is applied to solve both Cauchy problem for Laplace equation and a Fredholm integral equation of the first kind. © 2002 Elsevier Science Ltd. All rights reserved.
KW - Cauchy problem
KW - Gram-Schmidt orthonormalization
KW - Integral equation
KW - Moment problem
UR - http://www.scopus.com/inward/record.url?scp=0036888272&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0036888272&origin=recordpage
U2 - 10.1016/S0955-7997(02)00032-2
DO - 10.1016/S0955-7997(02)00032-2
M3 - RGC 21 - Publication in refereed journal
SN - 0955-7997
VL - 26
SP - 855
EP - 860
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
IS - 10
ER -