Found 294 Documents (Results 1–100)
A Hermite-type collocation mesh-free approach for simulating incompressible viscous fluid flows. (English) Zbl 07875925
Enhanced moving least squares method for solving the stochastic fractional Volterra integro-differential equations of Hammerstein type. (English) Zbl 1535.65018
A numerical solution of fractional reaction-convection-diffusion for modeling PEM fuel cells based on a meshless approach. (English) Zbl 1537.65100
The MLS based numerical manifold method for bending analysis of thin plates on elastic foundations. (English) Zbl 1539.74494
Numerical solution of Allen-Cahn model on surfaces via an effective method based on generalized moving least squares (GMLS) approximation and the closest point approach. (English) Zbl 1539.65148
Bernoulli wavelet least squares support vector regression: robust numerical method for systems of fractional differential equations. (English) Zbl 1534.65113
A numerical approximation for the solution of a time-fractional telegraph equation by the moving least squares approach. (English) Zbl 07809627
Solution of the Cauchy problem for ordinary differential equations using the collocation and least squares method with the Pade approximation. (English) Zbl 1534.34019
Development and verification of a simplified hp-version of the least-squares collocation method for irregular domains. (Russian. English summary) Zbl 1533.35102
A meshless finite point method for the improved Boussinesq equation using stabilized moving least squares approximation and Richardson extrapolation. (English) Zbl 1535.65231
Analysis of Navier-Stokes equations by a BC/GE embedded local meshless method. (English) Zbl 1520.76073
Approximate solution of two dimensional linear and nonlinear stochastic Itô-Volterra integral equations via meshless scheme. (English) Zbl 1540.65027
Static and dynamic analysis of the composite laminated stiffened plates via the MLS meshless method. (English) Zbl 1521.74429
Optimal convergence rates in \(L^2\) for a first order system least squares finite element method. I: Homogeneous boundary conditions. (English) Zbl 1516.65123
Reviewer: Bülent Karasözen (Ankara)
An improved meshless method based on the dimension splitting moving least-squares method for elasticity problems. (English) Zbl 1521.74396
The MLS-based numerical manifold method for Darcy flow in heterogeneous porous media. (English) Zbl 1521.76829
Asymptotic coefficients and errors for Chebyshev polynomial approximations with weak endpoint singularities: effects of different bases. (English) Zbl 1505.65019
The \(hp\)-version of the least-squares collocation method with integral collocation for solving a biharmonic equation. (Russian. English summary) Zbl 1513.65487
Simulation of Maxwell equation based on an ADI approach and integrated radial basis function-generalized moving least squares (IRBF-GMLS) method with reduced order algorithm based on proper orthogonal decomposition. (English) Zbl 1521.78016
Numerical approximation of a system of Hamilton-Jacobi-Bellman equations arising in innovation dynamics. (English) Zbl 1502.65111
Reviewer: Bülent Karasözen (Ankara)
Analysis of the moving least squares approximation with smoothed gradients. (English) Zbl 1521.65132
Analysis of a superconvergent recursive moving least squares approximation. (English) Zbl 1502.65228
Verified simulation of the stationary polymer fluid flows in the channel with elliptical cross-Section. (English) Zbl 1510.76017
\(h\)-, \(p\)-, and \(hp\)-versions of the least-squares collocation method for solving boundary value problems for biharmonic equation in irregular domains and their applications. (English. Russian original) Zbl 1492.65338
Comput. Math. Math. Phys. 62, No. 4, 517-537 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 4, 531-552 (2022).
A numerical integration strategy of meshless numerical manifold method based on physical cover and applications to linear elastic fractures. (English) Zbl 1521.74423
Optimal uniform error estimates for moving least-squares collocation with application to option pricing under jump-diffusion processes. (English) Zbl 1535.65238
Collocated meshless method for time-fractional diffusion-wave equations. (English) Zbl 1497.65191
Reviewer: Xiaofei Zhao (Wuhan)
Numerical learning approximation of time-fractional sub diffusion model on a semi-infinite domain. (English) Zbl 1496.35410
An efficient mesh-free approach for the determination of stresses intensity factors. (English) Zbl 1521.74409
A least squares recursive gradient meshfree collocation method for superconvergent structural vibration analysis. (English) Zbl 1479.74134
Approximate solution of stochastic Volterra integro-differential equations by using moving least squares scheme and spectral collocation method. (English) Zbl 1510.65327
An improved node moving technique for adaptive analysis using collocated discrete least squares meshless method. (English) Zbl 1521.65129
A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems. (English) Zbl 1460.65095
Two meshless methods for Dirichlet boundary optimal control problem governed by elliptic PDEs. (English) Zbl 1524.49056
Solving the Poisson equation with singularities by the least-squares collocation method. (Russian. English summary) Zbl 07617059
Isogeometric least-squares collocation method with consistency and convergence analysis. (English) Zbl 1458.65150
Multidomain Legendre-Galerkin least-squares method for linear differential equations with variable coefficients. (English) Zbl 1463.65326
Variants of the finite element method for the parabolic heat equation: comparative numerical study. (English) Zbl 1454.76055
Farouk, Mohamed Hesham (ed.) et al., Recent advances in engineering math and physics. Proceedings of the international conference, RAEMP 2019, Cairo, Egypt, December 24–26, 2019. Cham: Springer. 361-372 (2020).
A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation. (English) Zbl 1464.65143
MSC:
65M70
On the pricing of multi-asset options under jump-diffusion processes using meshfree moving least-squares approximation. (English) Zbl 1463.91203
Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions. (English) Zbl 1446.65195
A meshfree collocation method based on moving Taylor polynomial approximation for high order partial differential equations. (English) Zbl 1464.65216
MSC:
65N35
Spectral method and spectral element method for three dimensional linear elliptic system: analysis and application. (English) Zbl 1440.65249
Least squares spectral method for the two-dimensional Stokes interface problems. (English) Zbl 1434.65294
Fractional integro-differential equations with nonlocal conditions and \(\psi\)-Hilfer fractional derivative. (English) Zbl 07868782
On the numerical solution of logarithmic boundary integral equations arising in Laplace’s equations based on the meshless local discrete collocation method. (English) Zbl 1488.65737
A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations. (English) Zbl 1452.65284
Element-free Galerkin method for confined steady flow of unhomogeneous problems. (Chinese. English summary) Zbl 1449.76034
MSC:
76M10
A divergence-free method for solving the incompressible Navier-Stokes equations on non-uniform grids and its symbolic-numeric implementation. (English) Zbl 1437.65216
England, Matthew (ed.) et al., Computer algebra in scientific computing. 21st international workshop, CASC 2019, Moscow, Russia, August 26–30, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11661, 430-450 (2019).
Two implicit meshless finite point schemes for the two-dimensional distributed-order fractional equation. (English) Zbl 1434.65209
Certified offline-free reduced basis (COFRB) methods for stochastic differential equations driven by arbitrary types of noise. (English) Zbl 1440.65250
Solving elliptic equations in polygonal domains by the least squares collocation method. (Russian. English summary) Zbl 1433.35031
A gradient reproducing kernel collocation method for high order differential equations. (English) Zbl 1470.74074
MSC:
74S99
Reduced collocation method for time-dependent parametrized partial differential equations. (English) Zbl 1442.65291
The method of fundamental solutions combined with a multi-level technique. (English) Zbl 1434.65303
Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 241-249 (2019).
MSC:
65N80
Weighted least-squares collocation methods for elliptic PDEs with mixed boundary conditions. (English) Zbl 1464.65208
A GE/BC imbedded local polynomial collocation method for two dimensional multivariable problems. (English) Zbl 1464.65199
MSC:
65N35
Convergence analysis of least squares-epsilon-Ritz algorithm for solving a general class of pantograph equations. (English) Zbl 1488.65205
An efficient technique to find semi-analytical solutions for higher order multi-point boundary value problems. (English) Zbl 1427.34036
An improved time-splitting method for simulating natural convection heat transfer in a square cavity by Legendre spectral element approximation. (English) Zbl 1410.76319
New least squares method with geometric conservation law (GC-LSM) for compressible flow computation in meshless method. (English) Zbl 1410.76317
Meshless analysis of two-dimensional two-sided space-fractional wave equation based on improved moving least-squares approximation. (English) Zbl 1390.65138
Numerical solution of singularly perturbed boundary value problems by improved least squares method. (English) Zbl 1377.65092
Spectral element method for three dimensional elliptic problems with smooth interfaces. (English) Zbl 1439.74490
Application of the integral form of collocation equations and differential matching conditions in the collocation and least squares methods. (Russian. English summary) Zbl 1413.65437
Analysis of meshless weak and strong formulations for boundary value problems. (English) Zbl 1403.65163
MSC:
65N35
74S30
Collocation method based on piecewise cubic Bernstein polynomials for solving singularly perturbed two-point boundary value problem. (Chinese. English summary) Zbl 1413.65303
Moving least squares (MLS) method for the nonlinear hyperbolic telegraph equation with variable coefficients. (English) Zbl 1404.65199
MSC:
65M70
A spectral mimetic least-squares method for generalized convection-diffusion problems. (English) Zbl 1382.65426
Bittencourt, Marco L. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2016. Selected papers from the ICOSAHOM conference, June 27 – July 1, 2016, Rio de Janeiro, Brazil. Cham: Springer (ISBN 978-3-319-65869-8/hbk; 978-3-319-65870-4/ebook). Lecture Notes in Computational Science and Engineering 119, 305-316 (2017).
Least-squares and Galerkin spectral element methods for Poisson equation in annular regions. (Chinese. English summary) Zbl 1399.65282
MSC:
65M70
Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction. (English) Zbl 1378.65145
Spectral element method for parabolic initial value problem with non-smooth data: analysis and application. (English) Zbl 1395.65103
Space-dependent perfusion coefficient estimation in a 2D bioheat transfer problem. (English) Zbl 1380.65297
First order system least squares pseudo-spectral method for Stokes-Darcy equations. (English) Zbl 1462.65210
Error analysis of method of lines (MOL) via generalized interpolating moving least squares (GIMLS) approximation. (English) Zbl 1366.65083
A meshless point collocation method for 2-D multi-term time fractional diffusion-wave equation. (English) Zbl 1365.65230
Reviewer: Francisco Pérez Acosta (La Laguna)
A spectral mimetic least-squares method for the Stokes equations with no-slip boundary condition. (English) Zbl 1443.65389
Two numerical meshless techniques based on radial basis functions (RBFs) and the method of generalized moving least squares (GMLS) for simulation of coupled Klein-Gordon-Schrödinger (KGS) equations. (English) Zbl 1443.65240
Spectral solution of the breakage-coalescence population balance equation Picard and Newton iteration methods. (English) Zbl 1446.65140
Exponentially accurate nonconforming least-squares spectral element method for elliptic problems on unbounded domain. (English) Zbl 1425.65164
Radial basis function collocation method for an elliptic problem with nonlocal multipoint boundary condition. (English) Zbl 1403.65174
MSC:
65N35
Numerical solution of ideal MHD equilibrium via radial basis functions collocation and moving least squares approximation methods. (English) Zbl 1403.76148
Compact moving least squares: an optimization framework for generating high-order compact meshless discretizations. (English) Zbl 1422.65328
The Legendre Galerkin Chebyshev collocation least squares for the elliptic problem. (English) Zbl 1354.65259
Numerical study of a parametric parabolic equation and a related inverse boundary value problem. (English) Zbl 1353.65101
The discrete collocation method for Fredholm-Hammerstein integral equations based on moving least squares method. (English) Zbl 1347.65195
Reviewer: Seenith Sivasundaram (Daytona Beach)
Least squares spectral method for velocity-flux form of the coupled Stokes-Darcy equations. (English) Zbl 1338.65255
Regularization by discretization in Banach spaces. (English) Zbl 1342.65136
Inverse Probl. 32, No. 3, Article ID 035004, 28 p. (2016); erratum ibid. 32, No. 6, Article ID 069501, 1 p. (2016).
Reviewer: Bangti Jin (London)
Least-squares method for the bubble stabilization by the Gauss-Newton method. (English) Zbl 1338.49072
Numerical methods for inverse problems. (English) Zbl 1342.65138
Mathematics and Statistics Series. London: ISTE; Hoboken, NJ: John Wiley & Sons (ISBN 978-1-84821-818-5/hbk; 978-1-119-13694-1/ebook). xii, 215 p. (2016).
Reviewer: Bangti Jin (London)
MSC:
65-01
65J22
65L09
65N21
65M32
65R32
65L08
65J20
65M30
65N20
65R30
65J15
47A52
47J06
35R25
35R30
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