Suchergebnisse - "COLLOCATION methods"

Circumventing problems introduced by matrix asymmetry in collocation calculations of vibrational spectra by exploiting near symmetry.

Autoren: Corneo, Luca Carrington Jr, Tucker

Quelle: Journal of Chemical Physics. 8/7/2025, Vol. 163 Issue 5, p1-9. 9p.

Schlagwörter: *COLLOCATION methods, *SYMMETRIC matrices, *VIBRATIONAL spectra, *EIGENVALUES, *ITERATIVE methods (Mathematics), *SCHRODINGER equation, *HAMILTONIAN operator, *NONSYMMETRIC matrices

Collocation methods for the synthesis of graceful robot motions

Autoren: Moreno Martín, Siro

Weitere Verfasser: University/Department: Universitat Politècnica de Catalunya. Departament d'Enginyeria Mecànica

Thesis Advisors: Celaya Llover, Enric, Ros Giralt, Lluís

Quelle: TDX (Tesis Doctorals en Xarxa)

Schlagwörter: robotics, motion planning, optimal control, trajectory optimization, collocation methods, graceful motion synthesis, Àrees temàtiques de la UPC::Enginyeria mecànica, Àrees temàtiques de la UPC::Informàtica, 621 - Enginyeria mecànica en general. Tecnologia nuclear. Electrotècnia. Maquinària

Dateibeschreibung: application/pdf

Zugangs-URL: http://hdl.handle.net/10803/694899
https://dx.doi.org/10.5821/dissertation-2117-438923

Stochastic Multisymplectic PDEs and Their Structure‐Preserving Numerical Methods.

Autoren: Hu, Ruiao Peng, Linyu

Quelle: Studies in Applied Mathematics. Sep2025, Vol. 155 Issue 3, p1-26. 26p.

Schlagwörter: STOCHASTIC partial differential equations, COLLOCATION methods, NONLINEAR Schrodinger equation, VARIATIONAL approach (Mathematics), NUMERICAL analysis, NUMERICAL integration, NOETHER'S theorem, CONSERVATION laws (Physics)

Simulating natural patterns via space-time accurate barycentric collocation methods for nonlinear PDEs.

Autoren: Saad, Khaled M. Owolabi, Kolade M. Pindza, Edson et al.

Quelle: Computers & Mathematics with Applications. Dec2025, Vol. 199, p378-402. 25p.

Schlagwörter: *COLLOCATION methods, *REACTION-diffusion equations, *PATTERN formation (Biology), *NUMERICAL solutions to equations, *NUMERICAL analysis, *NONLINEAR dynamical systems, *EMPIRICAL research

A biharmonic solver based on Fourier extension with oversampling technique for arbitrary domain.

Autoren: Li, Wenbin Zhao, Tinggang Zhao, Zhenyu

Quelle: Applied Numerical Mathematics. Dec2025, Vol. 218, p261-274. 14p.

Schlagwörter: *SEPARATION of variables, *COLLOCATION methods, *FLUID dynamics, *IMAGE processing, *ELASTICITY

AdaPW: An adaptive point-weighting method for training physics-informed neural networks.

Autoren: Li, Wensheng Wang, Hao Guan, Hanting et al.

Quelle: Computers & Mathematics with Applications. Nov2025, Vol. 198, p255-273. 19p.

Schlagwörter: *PARTIAL differential equations, *COLLOCATION methods, *ARTIFICIAL neural networks, *MACHINE learning, *SIMULATION methods & models

Spectral Collocation Method for Solving Nonlinear Riesz Distributed-Order Fractional Differential Equations.

Autoren: Lachin, Ammar Abdelkawy, Mohammed A. Sathasivam, Saratha

Quelle: Mathematics (2227-7390). Nov2025, Vol. 13 Issue 21, p3425. 24p.

Schlagwörter: *FRACTIONAL differential equations, *COLLOCATION methods, *LEGENDRE'S polynomials, *DISCRETIZATION methods, *ALGORITHMS

An effective computational approach based on new multi-step collocation method for solving integral-algebraic equations.

Autoren: Kamil, Safa Hussein Pishbin, Saeed Darania, Parviz

Quelle: Numerical Algorithms. Nov2025, Vol. 100 Issue 3, p1333-1363. 31p.

Schlagwörter: *COLLOCATION methods, *INTEGRAL equations, *NUMERICAL analysis, *PRAGMATISM, *QUANTITATIVE research

A convergent collocation approach for one- and two-dimensional fractional diffusion equations with generalized kernel.

Autoren: Kumar, Sandeep Pandey, Divyansh

Quelle: International Journal of Numerical Methods for Heat & Fluid Flow. 2025, Vol. 35 Issue 11, p3984-4011. 28p.

Schlagwörter: *COLLOCATION methods, *CAPUTO fractional derivatives, *THEORY of distributions (Functional analysis), *BOUNDARY value problems, *NUMERICAL solutions to equations, *PARTIAL differential equations, *ERROR analysis in mathematics, *NUMERICAL analysis

Adaptive Mesh Refinement and Error Estimation Method for Optimal Control Using Direct Collocation.

Autoren: Haman III, George V. Rao, Anil V.

Quelle: Journal of Dynamic Systems, Measurement, & Control. Nov2025, Vol. 147 Issue 6, p1-16. 16p.

Schlagwörter: *OPTIMAL control theory, *COLLOCATION methods, *POLYNOMIAL approximation, *ERROR analysis in mathematics, *NUMERICAL analysis, *DISCRETIZATION methods

Numerical solution of Hunter-Saxton type equation via exponential cubic B-spline collocation method.

Autoren: Thube, Nilesh H. Lodhi, Ram Kishun

Quelle: Boundary Value Problems. 10/31/2025, Vol. 2025 Issue 1, p1-14. 14p.

Schlagwörter: *COLLOCATION methods, *PARTIAL differential equations, *ITERATIVE methods (Mathematics), *DISCRETIZATION methods, *NUMERICAL solutions to equations, *STABILITY theory, *FINITE difference method

Employing Quadratic B‐Spline Collocation Method for Solving Nonlinear Volterra‐Type Integro‐Fractional Differential Equations.

Autoren: Ahmed, Mariwan Rashid Shawki Ahmed, Shazad Othman Sabir, Pishtiwan

Quelle: Mathematical Methods in the Applied Sciences. Oct2025, p1. 19p. 15 Illustrations.

Schlagwörter: *FRACTIONAL differential equations, *COLLOCATION methods, *NUMERICAL solutions to equations, *SPLINE theory, *CAPUTO fractional derivatives, *GAUSSIAN quadrature formulas, *NONLINEAR integral equations

Reviews & Products: MATLAB (Computer software)

Using a pruned basis and a sparse collocation grid with more points than basis functions to do efficient and accurate MCTDH calculations with general potential energy surfaces.

Autoren: Wodraszka, Robert Carrington Jr., Tucker

Quelle: Journal of Chemical Physics. 6/7/2024, Vol. 160 Issue 21, p1-19. 19p.

Schlagwörter: *COLLOCATION methods, *POTENTIAL energy surfaces

Collocation method for fractional differential equations using hybrid fractional-order Chelyshkov functions.

Autoren: Al-Sharif, M. S. Ahmed, A. I. Salim, M. S.

Quelle: Boundary Value Problems. 9/15/2025, Vol. 2025 Issue 1, p1-31. 31p.

Schlagwörter: *FRACTIONAL differential equations, *COLLOCATION methods, *ITERATIVE methods (Mathematics), *INTEGRALS, *CAPUTO fractional derivatives, *FRACTIONAL integrals, *ALGEBRAIC equations, *DISCRETIZATION methods

Modal and Nonmodal Instabilities of a Two-Dimensional Channel Flow Subject to Wall Slip and Transverse Magnetic Field.

Autoren: Shivaraj, D. L. Geetha, D. L. Basavaraj, M. S.

Quelle: Journal of Mechanical Design. Sep2025, Vol. 147 Issue 9, p1-16. 16p.

Schlagwörter: *CHANNEL flow, *COLLOCATION methods, *MODAL analysis, *REYNOLDS number, *MAGNETIC fields

Numerical solutions for (2+1)-dimensional ZK-MEW equation using linear barycentric rational collocation method.

Autoren: Li, Zongcheng Li, Jin

Quelle: Computers & Mathematics with Applications. Sep2025, Vol. 193, p332-345. 14p.

Schlagwörter: *COLLOCATION methods, *NEWTON-Raphson method, *LINEAR equations, *INTERPOLATION, *EQUATIONS

A localized Fourier collocation method for the numerical solution of nonlinear fractional Fisher–Kolmogorov equation.

Autoren: Safari, Farzaneh Lin, Ji Duan, Yanjun

Quelle: Computers & Mathematics with Applications. Sep2025, Vol. 193, p241-252. 12p.

Schlagwörter: *COLLOCATION methods, *SEPARATION of variables, *LINEAR equations, *FOURIER series, *SPARSE matrices, *QUASILINEARIZATION

A Modified Collocation Technique for Addressing the Time-Fractional FitzHugh–Nagumo Differential Equation with Shifted Legendre Polynomials.

Autoren: Alzahrani, S. S. Alanazi, Abeer A. Atta, Ahmed Gamal

Quelle: Symmetry (20738994). Sep2025, Vol. 17 Issue 9, p1468. 20p.

Schlagwörter: *COLLOCATION methods, *LEGENDRE'S polynomials, *DIFFERENTIAL equations, *ERROR analysis in mathematics

Numerical Solutions of Weakly Singular Nonlinear Volterra Integral Equations With Smooth and Nonsmooth Solutions Over Large Time Intervals.

Autoren: Remili, Walid Rahmoune, Azedine Li, Chenkuan

Quelle: Mathematical Methods in the Applied Sciences. Sep2025, Vol. 48 Issue 13, p12710-12724. 15p.

Schlagwörter: *VOLTERRA equations, *COLLOCATION methods, *LAGUERRE polynomials, *INTEGRAL equations, *NUMERICAL analysis, *NUMERICAL solutions to equations, *SMOOTHNESS of functions

EXACT AND APPROXIMATE SOLUTIONS TO THE QUASILINEAR PARABOLIC SYSTEM "PREDATOR-PREY" WITH ZERO FRONTS.

Autoren: Kazakov, A. L. Spevak, L. F.

Quelle: Journal of Mathematical Sciences. Aug2025, Vol. 292 Issue 5, p551-560. 10p.

Schlagwörter: *PREDATION, *COLLOCATION methods, *FINITE difference method, *DISCRETIZATION methods, *HEURISTIC, *BOUNDARY value problems