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Main Authors:	Gutleb, Timon S., Barrett, Rhyan, Westermayr, Julia, Ortner, Christoph
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis 65H04, 65H05
Online Access:	https://arxiv.org/abs/2407.03731
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Analysis of Normal-Form Algorithms for Solving Systems of Polynomial Equations
by: Parkinson, Suzanna, et al.
Published: (2021)

Fast and accurate computation of classical Gaussian quadratures
by: Gil, A., et al.
Published: (2025)

Generalization of Ehrlich-Kjurkchiev method for multiple roots of algebraic equations
by: Iliev, Anton I.
Published: (2001)

A Generalization of Obreshkoff-Ehrlich Method for Multiple Roots of Polynomial Equations
by: Iliev, A. I.
Published: (2001)

A Generalization of Obreshkoff-Ehrlich Method for Multiple Roots of Algebraic, Trigonometric and Exponential Equations
by: Iliev, A. I.
Published: (2001)

On a Generalisation of Obreshkoff-Ehrlich Method for Simultaneous Extraction of All Roots of Polynomials Over an Arbitrary Chebyshev System
by: Iliev, A., et al.
Published: (2001)

Some Generalizations of the Chebyshev Method for Simultaneous Determination of All Roots of Polynomial Equations
by: Iliev, A. I., et al.
Published: (2001)

A sparse spectral method for Volterra integral equations using orthogonal polynomials on the triangle
by: Gutleb, Timon S., et al.
Published: (2019)

Double newtonisation of fixed point sequences
by: Graca, Mario M.
Published: (2002)

Fast Krasnoselskii-Mann Method with Overrelaxation and Preconditioners
by: Boţ, Radu I., et al.
Published: (2024)

An Euler scheme for BSDEs via the Wiener chaos decomposition
by: Lozano, Pere Díaz, et al.
Published: (2025)

On the Convergence of CROP-Anderson Acceleration Method
by: Wan, Ning, et al.
Published: (2024)

On solving nonlinear simultaneous equations arising from the double-exponential Sinc-collocation method for initial value problems
by: Yamamoto, Yusaku, et al.
Published: (2026)

A polynomially accelerated fixed-point iteration for vector problems
by: Alemanno, Francesco
Published: (2025)

Computing Inverses of Stieltjes Transforms of Probability Measures
by: Chen, James, et al.
Published: (2024)

A Low-Rank Symplectic Gradient Adjustment Method for Computing Nash Equilibria
by: Vater, Nadja, et al.
Published: (2025)

A Multilevel Monte Carlo Virtual Element Method for Uncertainty Quantification of Elliptic Partial Differential Equations
by: Antonietti, Paola F., et al.
Published: (2026)

Fast and Accurate Intersections on a Sphere
by: Chen, Hongyu, et al.
Published: (2025)

Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation
by: Batra, Prashant
Published: (2024)

A new way of deriving implicit Runge-Kutta methods based on repeated integrals
by: Mizerová, Hana, et al.
Published: (2024)

Dynamics of a Family of Rational Operators of Arbitrary Degree
by: Campos, Beatriz, et al.
Published: (2025)

Projected Langevin Monte Carlo algorithms in non-convex and super-linear setting
by: Pang, Chenxu, et al.
Published: (2023)

Antithetic multilevel Monte Carlo method for approximations of SDEs with non-globally Lipschitz continuous coefficients
by: Pang, Chenxu, et al.
Published: (2023)

Deep Operator BSDE: a Numerical Scheme to Approximate Solution Operators
by: Lozano, Pere Díaz, et al.
Published: (2024)

Generalizing Reduced Rank Extrapolation to Low-Rank Matrix Sequences
by: Boef, Pascal den, et al.
Published: (2025)

Unconditionally Long-Time Stable Variable-Step Second-Order Exponential Time-Differencing Schemes for the Incompressible NSE
by: Wang, Haifeng, et al.
Published: (2026)

Accelerating the Simulation of Ordinary Differential Equations Through Physics-Preserving Neural Networks
by: Tagg, Andrew, et al.
Published: (2026)

Efficient numerical computation of traveler states in explicit mobility-based metapopulation models: Mathematical theory and application to epidemics
by: Zunker, Henrik, et al.
Published: (2026)

A Randomized Milstein Scheme for SDEs with Superlinear Drift Coefficient
by: Biswas, Sani
Published: (2026)

Multi-index importance sampling for McKean--Vlasov stochastic differential equations
by: Rached, Nadhir Ben, et al.
Published: (2023)

Multilevel Importance Sampling for Rare Events Associated With the McKean--Vlasov Equation
by: Rached, Nadhir Ben, et al.
Published: (2022)

High-order parallel-in-time method for the monodomain equation in cardiac electrophysiology
by: de Souza, Giacomo Rosilho, et al.
Published: (2024)

A New Class of General Linear Method with Inherent Quadratic Stability for Solving Stiff Differential Systems
by: Gautam, Sakshi, et al.
Published: (2025)

Efficient implementation of Radau collocation methods
by: Brugnano, L., et al.
Published: (2013)

Error analyses of Sinc-collocation methods for exponential decay initial value problems
by: Okayama, Tomoaki, et al.
Published: (2023)

Numerical algorithms for the real zeros of hypergeometric functions
by: Gil, Amparo, et al.
Published: (2004)

Numerical Approximation of Stochastic Volterra Integral Equation Using Walsh Function
by: Paikaray, Prit Pritam, et al.
Published: (2023)

Adaptive Multilevel Splitting: First Application to Rare-Event Derivative Pricing
by: Gozzo, Riccardo
Published: (2025)

A Structure-Preserving Decorated Particle Method for the Vlasov-Poisson System
by: Quashie, Mandela B., et al.
Published: (2026)

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* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

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