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1. Full Text 12-th Symposium on “Recent Trends in the Numerical Solution of Differential Equations”: Preface
by Brugnano, Luigi and Weinmüller, Ewa
AIP conference proceedings, ISSN 0094-243X, 11/2020, Volume 2293, Issue 1
Differential equations
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2. Full Text Advanced Numerical Methods in Applied Sciences
by Lavernaro, Felice and Brugnano, Luigi
01/2019, ISBN 3038976679
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
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3. Full Text Spectrally accurate space–time solution of Manakov systems
by Barletti, Luigi and Brugnano, Luigi and Tang, Yifa and Zhu, Beibei
Journal of computational and applied mathematics, ISSN 0377-0427, 10/2020, Volume 377, p. 112918
Manakov system | Hamiltonian PDEs | Energy-conserving methods | Hamiltonian Boundary Value Methods | Spectral methods | HBVMs | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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4. Full Text Energy-conserving methods for the nonlinear Schrödinger equation
by Barletti, L and Brugnano, L and Frasca Caccia, G and Iavernaro, F
Applied mathematics and computation, ISSN 0096-3003, 02/2018, Volume 318, pp. 3 - 18
Nonlinear Schrödinger equation | Hamiltonian partial differential equations | Energy-conserving methods | Line integral methods | Hamiltonian Boundary Value methods | HBVMs | Usage | Methods | Differential equations
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5. Full Text 11-th Symposium on “Recent Trends in the Numerical Solution of Differential Equations”: Preface
by Brugnano, Luigi and Weinmüller, Ewa
AIP conference proceedings, ISSN 0094-243X, 07/2019, Volume 2116, Issue 1
Differential equations
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6. Full Text Line integral methods which preserve all invariants of conservative problems
by Brugnano, Luigi and Iavernaro, Felice
Journal of computational and applied mathematics, ISSN 0377-0427, 10/2012, Volume 236, Issue 16, pp. 3905 - 3919
Ordinary differential equations | Energy-preserving methods | One-step methods | Conservative problems | Hamiltonian Boundary Value Methods | Line integral methods | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Names | Boundary value problems | Integrals | Mathematical analysis | Preserves | Collocation methods | Mathematical models | Invariants
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7. Full Text A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator
by Brugnano, Luigi and Zhang, Chengjian and Li, Dongfang
Communications in nonlinear science & numerical simulation, ISSN 1007-5704, 07/2018, Volume 60, pp. 33 - 49
Wave operator | Hamiltonian problem | Nonlinear Schrödinger equation | Energy-conserving methods | Hamiltonian boundary value methods | Mathematics, Interdisciplinary Applications | Physical Sciences | Physics, Fluids & Plasmas | Technology | Physics, Mathematical | Mechanics | Mathematics | Mathematics, Applied | Physics | Science & Technology | Studies | Fourier analysis | Schroedinger equation | Galerkin method | Schrodinger equation | Energy conservation
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8. Full Text An implicit difference scheme with the KPS preconditioner for two-dimensional time–space fractional convection–diffusion equations
by Zhou, Yongtao and Zhang, Chengjian and Brugnano, Luigi
Computers & mathematics with applications (1987), ISSN 0898-1221, 07/2020, Volume 80, Issue 1, pp. 31 - 42
Kronecker product splitting preconditioner | Implicit difference scheme | Stability | Fractional convection–diffusion equations | Convergence | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Numerical analysis | Two dimensional analysis | Mathematical analysis | Preconditioning | Convection-diffusion equation
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9. Full Text 10th Symposium on “Recent Trends in the Numerical Solution of Differential Equations”: Preface
by Brugnano, Luigi and Weinmüller, Ewa
AIP conference proceedings, ISSN 0094-243X, 07/2018, Volume 1978, Issue 1
Differential equations
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10. Full Text Line integral solution of differential problems
by Brugnano, Luigi and Iavernaro, Felice
Axioms, ISSN 2075-1680, 06/2018, Volume 7, Issue 2, p. 36
Poisson problems | Highly oscillatory problems | Energy-conserving methods | Hamiltonian PDEs | Conservative problems | HBVMs | Constrained Hamiltonian problems | Hamiltonian problems | Line integral methods | Hamiltonian boundary value methods | Problems | Numerical analysis | Algebra | Partial differential equations | Energy | Integrals | Ordinary differential equations | Methods | constrained Hamiltonian problems | conservative problems | line integral methods | highly oscillatory problems | Hamiltonian Boundary Value Methods | energy-conserving methods
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11. Full Text Ninth Symposium on “Recent Trends in the Numerical Solution of Differential Equations”: Preface
by Brugnano, Luigi and Weinmüller, Ewa
AIP conference proceedings, ISSN 0094-243X, 07/2017, Volume 1863, Issue 1
Differential equations
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12. Full Text Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles
by Brugnano, Luigi and Iavernaro, Felice and Zhang, Ruili
Journal of computational and applied mathematics, ISSN 0377-0427, 12/2020, Volume 380, p. 112994
Poisson problems | Gyrocenter dynamics | Energy-conserving methods | Line integral methods | Hamiltonian Boundary Value Methods | HBVMs | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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13. Full Text A simple framework for the derivation and analysis of effective one-step methods for ODEs
by Brugnano, Luigi and Iavernaro, Felice and Trigiante, Donato
Applied mathematics and computation, ISSN 0096-3003, 05/2012, Volume 218, Issue 17, pp. 8475 - 8485
Energy preserving methods | One-step methods | Runge–Kutta methods | Energy drift | Ordinary differential equations | Symplectic methods | Hamiltonian problems | Hamiltonian Boundary Value Methods | Runge-Kutta methods | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Computation | Mathematical analysis | Derivation | Fourier analysis | Mathematical models | Runge-Kutta method | Computer programs | Quadratures
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14. Full Text Multiple invariants conserving Runge-Kutta type methods for Hamiltonian problems
by Brugnano, Luigi and Sun, Yajuan
Numerical algorithms, ISSN 1017-1398, 3/2014, Volume 65, Issue 3, pp. 611 - 632
LIMs | 65L05 | 65P10 | Numeric Computing | ELIMs | EHBVMs | Theory of Computation | Hamiltonian problems | Algorithms | Algebra | Energy-conserving methods | Numerical Analysis | Computer Science | Multiple invariants | HBVMs | Discrete line-integral methods | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | LIMS | Names | Numerical analysis | Integrals | Mathematical models | Runge-Kutta method | Dynamical systems | Invariants | Mathematics - Numerical Analysis
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15. Full Text On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic
by Amodio, Pierluigi and Brugnano, Luigi and Iavernaro, Felice and Mazzia, Francesca
Soft computing (Berlin, Germany), ISSN 1432-7643, 12/2020, Volume 24, Issue 23, pp. 17589 - 17600
Computer Science, Artificial Intelligence | Computer Science, Interdisciplinary Applications | Technology | Computer Science | Science & Technology | Architecture | Usage | Nonlinear equations | Floating point arithmetic | Infinity | Ill-conditioned problems (mathematics) | Computer architecture
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16. Full Text High-order energy-conserving Line Integral Methods for charged particle dynamics
by Brugnano, Luigi and Montijano, Juan I and Rández, Luis
Journal of computational physics, ISSN 0021-9991, 11/2019, Volume 396, pp. 209 - 227
Plasma physics | Line Integral Methods | Charged particle dynamics | Lorentz force system | Energy-conserving methods | Hamiltonian Boundary Value Methods | Physical Sciences | Computer Science, Interdisciplinary Applications | Technology | Physics, Mathematical | Computer Science | Physics | Science & Technology | Analysis | Methods | Runge-Kutta method | Computer simulation | Charged particles | Integrals | Mathematics - Numerical Analysis
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17. Full Text Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations
by Zhou, Yongtao and Zhang, Chengjian and Brugnano, Luigi
Numerical algorithms, ISSN 1017-1398, 06/2020, Volume 84, Issue 2, pp. 633 - 649
Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Mathematical analysis | Numerical methods | Computational efficiency | Iterative methods | Computing time | Methods | Convergence
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18. Full Text Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems
by Amodio, Pierluigi and Brugnano, Luigi and Iavernaro, Felice
Numerical algorithms, ISSN 1017-1398, 2019, Volume 83, Issue 4, pp. 1489 - 1508
Legendre polynomials | Spectral methods | HBVMs | SHBVMs | Hamiltonian boundary value methods | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Numerical methods | Spectra | Mathematics - Numerical Analysis
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