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01/2019, ISBN 3038976679
.... The great need for reliable software in the scientific community conveys a continuous stimulus to develop new and better performing numerical methods that are able to grasp the particular features... 
structured matrices | curl | numerical methods | time fractional differential equations | hierarchical splines | finite difference methods | null-space | highly oscillatory problems | stochastic Volterra integral equations | differential equations | displacement rank | constrained Hamiltonian problems | Hermite | hyperbolic partial differential equations | higher-order finite element methods | continuous geometric average | Volterra integro | spectral (eigenvalue) and singular value distributions | generalized locally Toeplitz sequences | Obreshkov methods | B-spline | discontinuous Galerkin methods | adaptive methods | Cholesky factorization | energy-conserving methods | order | collocation method | Poisson problems | time harmonic Maxwell’s equations and magnetostatic problems | tree | multistep methods | stochastic differential equations | optimal basis | finite difference method | elementary differential | gradient system | Runge | conservative problems | line integral methods | stochastic multistep methods | Hamiltonian Boundary Value Methods | Kutta | limited memory | boundary element method | convergence | analytical solution | preconditioners | asymptotic stability | collocation methods | histogram specification | local refinement | edge-preserving smoothing | numerical analysis | THB-splines | BS methods | barrier options | stump | shock waves and discontinuities | mean-square stability | Volterra integral equations | high order discontinuous Galerkin finite element schemes | B-splines | vectorization and parallelization | initial value problems | one-step methods | scientific computing | fractional derivative | linear systems | Hamiltonian problems | low rank completion | ordinary differential equations | mixed-index problems | edge-histogram | Hamiltonian PDEs | matrix ODEs | HBVMs | floating strike Asian options | generalized Schur algorithm | Galerkin method | symplecticity | high performance computing | isogeometric analysis | discretization of systems of differential equations | curl operator
eBook
Journal of computational and nonlinear dynamics, ISSN 1555-1415, 09/2016, Volume 11, Issue 5
Journal Article
Nonlinear Engineering, ISSN 2192-8010, 09/2018, Volume 7, Issue 3, pp. 163 - 169
Journal Article
SIAM journal on numerical analysis, ISSN 1095-7170, 2008, Volume 46, Issue 4, pp. 1799 - 1820
A discrete method of accuracy $O(h^m )$ is constructed and justified for a class of Fredholm integral equations of the second kind with kernels that may have weak diagonal and boundary singularities... 
Interpolation | Approximation | Singular integral equations | Entire functions | Differential equations | Polynomials | Mathematical functions | Coefficients | Data smoothing | Degrees of polynomials | Weakly singular integral equations | Nyström-type methods | Spline quasi-interpolation | Spline interpolation | Boundary singularities | Product integration methods | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
Computational Mechanics, ISSN 0178-7675, 2/2019, Volume 63, Issue 2, pp. 181 - 199
Journal Article
Numerical Algorithms, ISSN 1017-1398, 3/2013, Volume 62, Issue 3, pp. 445 - 468
In this paper, we propose an interesting method for approximating the solution of a two dimensional second kind equation with a smooth kernel using a bivariate quadratic spline quasi-interpolant (abbr. QI... 
Algorithms | Algebra | Collocation | Integral equations | Numerical Analysis | Computer Science | Numeric Computing | Spline quasi-interpolant | Theory of Computation | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Error analysis | Approximation | Rectangles | Splines | Mathematical analysis | Mathematical models | Two dimensional
Journal Article
Mathematics and computers in simulation, ISSN 0378-4754, 06/2020, Volume 172, pp. 213 - 223
Journal Article
Numerical algorithms, ISSN 1572-9265, 04/2013, Volume 65, Issue 4, pp. 723 - 743
Journal Article
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 04/2018, Volume 331, pp. 327 - 342
Journal Article
Mathematics and computers in simulation, ISSN 0378-4754, 07/2017, Volume 137, pp. 148 - 158
In this paper, we study a numerical solution for semi-explicit integral–algebraic equations. Continuous collocation method for solving such equations numerically is developed... 
Third kind integral–algebraic equations | Continuous collocation method | Polynomial spline space
Journal Article
IEEE transactions on antennas and propagation, ISSN 1558-2221, 01/2020, Volume 68, Issue 1, pp. 593 - 597
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 03/2021, Volume 384, p. 113153
In this paper, the n-dimensional stochastic Itô-Volterra integral equation is numerically solved via quintic B-spline collocation method... 
Itô approximation | Stochastic Itô-Volterra integral equation | Gauss–Legendre quadrature rule | Quintic B-spline interpolation | Convergence analysis
Journal Article
International journal of computational methods, ISSN 0219-8762, 12/2012, Volume 9, Issue 4, pp. np - np
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 2018, Volume 333, pp. 74 - 86
... –Volterra integral equations. The method is based on a combination of the successive approximations method, the linear spline interpolation and Itô approximation... 
Stochastic Volterra integral equations | Brownian motion process | Itô integral | Linear spline interpolation | Successive approximations method | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 01/2020, Volume 363, pp. 426 - 443
The paper is concerned with the wavelet-Galerkin method for the numerical solution of Fredholm linear integral equations and second-order integro-differential equations... 
Wavelet | Quadratic spline | Galerkin method | Integral equation | Integro-differential equation | Short support | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Methods | Differential equations
Journal Article