interpreted in the sense of (1) toassign a sequence of expansion coefficients (Tf)(n) to each generalized functionf(x) in ’; the inverse transformation is obtained by summing the eigenfunctionexpansion in ’.In conclusion, the reviewer would like to make some comments of a moregeneral ...
When approximately calculating integrals of high dimension with the Monte Carlo method, one uses fewer values of the integrand than when calculating with the help of classical deterministic quadrature formulas. However, the error estimation for the Monte Carlo method does not depend on the smoothness ...
B73-2 Approximate Calculation of Multiple Integrals I look forward to using this interesting book as a reference in a graduate numerical analysis seminar. It is not a textbook, rather, it is like a small enc... LD Fosdick - 《IEEE Transactions on Computers》...
L. C. HsuL. W. LinKluwer Academic PublishersActa Mathematica Academiae Scientiarum HungaricaL. C. Hsu and L. W. Lin , Two new methods for the approximate calculation of multiple integrals, Acta Math. Acad. Sci. Hung. , 9 (1958), pp. 279–289....
Approximate evaluation of multiple integrals w.r.t. measures generated by multidimensional processes with independent increments are considered in Sections 8.3 and 8.4. This chapter derives a number of approximate formulae for functional integrals w.r.t. Gaussian measure....
Multiple integrals can be computed as iterated integrals, using the quadrature formulas described above. Since the number of nodes increases substantially with the multiplicity, a number of special formulas have been developed for the computation of multiple integrals. The calculation of integrals by ...
Three new approximate methods for dynamic reliability calculation of stochastic structures are compared.A new technique named asymptotic expansions is based on Laplace's method for approximation of integrals.When the local maxima of the integrand are calculated,the failure probability can be derived from...
It is likely that better accuracy will reduce the build-up of ‘phase errors’ in the calculation of instantaneous displacement and velocity, affecting the ‘phase matches’ between the load component \(F_L(t)\) and velocity v(t). Although the performance is modest when compared against the...
Approximate Evaluation of multiple complex integrals of analytic functions, Computing 30, 279-284.Acharya, B.P. & Das, R.N., Approximate evaluation of multiple complex integral of analytic functions, Computing, 30 (1983), 279-283.Acharya, B. P. & Das, R. N. Approximate evaluation of ...
The approximate solution is made up of two essentially different terms on sector-blocks and semidisk-blocks. The first term ... EA Volkov - 《Trudy Mat.inst.steklov》 被引量: 9发表: 1992年 Two new methods for the approximate calculation of multiple integrals No Abstract available for this ...