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Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Numerical Analysis. Papers on this page are organised in collections from 65- through 65Z, although not all collections may have papers published in that area at this time. Visit the MSC2010 database from MathScinet for a full list of codes.

Jump to the following areas

65-XX: Numerical analysis 65Axx: Tables 65Bxx: Acceleration of convergence 65Cxx: Probabilistic methods, simulation and stochastic differential equations 65Dxx: Numerical approximation and computational geometry (primarily algorithms) 65Exx: Numerical methods in complex analysis (potential theory, etc.) 65Fxx: Numerical linear algebra 65Gxx: Error analysis and interval analysis 65Hxx: Nonlinear algebraic or transcendental equations 65Jxx: Numerical analysis in abstract spaces 65Kxx: Mathematical programming, optimization and variational techniques 65Lxx: Ordinary differential equations 65Mxx: Partial differential equations, initial value and time-dependent initial-boundary value problems 65Nxx: Partial differential equations, boundary value problems 65Pxx: Numerical problems in dynamical systems 65Qxx: Difference and functional equations, recurrence relations 65Rxx: Integral equations, integral transforms 65Sxx: Graphical methods 65Txx: Numerical methods in Fourier analysis 65Yxx: Computer aspects of numerical algorithms 65Zxx: Applications to physics

Numerical analysis (65-XX)

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Article
A Comparison of Higher-Order Weak Numerical Schemes for Stopped Stochastic Differential Equations
Francisco Bernal, Juan A. Acebrón
Communications in Computational Physics, Volume 20, Issue 3

Article
EXPECTATIONS OVER DETERMINISTIC FRACTAL SETS
MICHAEL G. ROSE
Bulletin of the Australian Mathematical Society, Volume 94, Issue 1

Article
LIFTING PUZZLES IN DEGREE FOUR
CRIS POOR, NATHAN C. RYAN, DAVID S. YUEN
Bulletin of the Australian Mathematical Society, Volume 80, Issue 1

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Tables (65Axx)

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Acceleration of convergence (65Bxx)

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Article
Acceleration methods for fixed-point iterations
Yousef Saad
Acta Numerica, Volume 34

Article
INFINITE SERIES CONCERNING HARMONIC NUMBERS AND QUINTIC CENTRAL BINOMIAL COEFFICIENTS
CHUNLI LI, WENCHANG CHU
Bulletin of the Australian Mathematical Society, Volume 109, Issue 2

Article
ON GUILLERA’S ${}_{7}F_{6}( \frac {27}{64} )$-SERIES FOR ${1}/{\pi ^2}$
JOHN M. CAMPBELL
Bulletin of the Australian Mathematical Society, Volume 108, Issue 3

Article
EXISTENCE, UNIQUENESS AND APPROXIMATION OF SOLUTIONS TO THE STOCHASTIC LANDAU–LIFSHITZ–GILBERT EQUATION ON THE REAL LINE
FARAH EL RAFEI
Bulletin of the Australian Mathematical Society, Volume 107, Issue 1

Article
SYMMETRIC FUNCTIONS AND MULTIPLE ZETA VALUES
WENCHANG CHU
Bulletin of the Australian Mathematical Society, Volume 101, Issue 3

Article
Computable Error Estimates for a Nonsymmetric Eigenvalue Problem
Hehu Xie, Manting Xie, Xiaobo Yin, Meiling Yue
East Asian Journal on Applied Mathematics, Volume 7, Issue 3

Article
A High-Efficient Algorithm for Parabolic Problems with Time-Dependent Coefficients
Chuanmiao Chen, Xiangqi Wang, Hongling Hu
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 2

Article
A Multigrid Method for Ground State Solution of Bose-Einstein Condensates
Hehu Xie, Manting Xie
Communications in Computational Physics, Volume 19, Issue 3

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Probabilistic methods, simulation and stochastic differential equations (65Cxx)

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Article
Does Hamiltonian Monte Carlo mix faster than a random walk on multimodal densities?
Oren Mangoubi, Natesh S. Pillai, Aaron Smith
Advances in Applied Probability, First View

Article
Asymptotic error distribution of the Euler scheme for stochastic delay differential equations with locally Lipschitz coefficients
Huagui Liu, Ya Wang, Fuke Wu
Advances in Applied Probability, First View

Article
An EM algorithm for estimating phase-type distributions with left-truncated and right-censored data
Hiroyuki Okamura, Junjun Zheng, Tadashi Dohi
Journal of Applied Probability, First View

Article
Numerical approximation of McKean–Vlasov SDEs via stochastic gradient descent
Ankush Agarwal, Andrea Amato, Stefano Pagliarani, Gonçalo dos Reis
Advances in Applied Probability, First View

Article
Non-asymptotic analysis of online noisy stochastic gradient descent
Riddhiman Bhattacharya, Tiefeng Jiang
Advances in Applied Probability, First View

Article
The functional discrete-time approximation of marked Hawkes risk processes
Mahmoud Khabou, Laure Coutin
Advances in Applied Probability, First View

Article
Multilevel particle filters for partially observed McKean–Vlasov stochastic differential equations
Elsiddig Awadelkarim, Ajay Jasra
Journal of Applied Probability, First View

Article
Non-asymptotic analysis of Langevin-type Monte Carlo algorithms
Shogo Nakakita
Advances in Applied Probability, First View

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Numerical approximation and computational geometry (primarily algorithms) (65Dxx)

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Article
Fractal interpolant curve fitting and reproducing kernel Hilbert spaces
Dah-Chin Luor, Chiao-Wen Liu
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 1

Article
IMPLICIT–EXPLICIT TIME INTEGRATION METHOD FOR FRACTIONAL ADVECTION–DIFFUSION-REACTION EQUATIONS
D. GHOSH, T. CHAUHAN, S. SIRCAR
The ANZIAM Journal, Volume 67

Article
MONTE CARLO VARIANCE REDUCTION METHODS WITH APPLICATIONS IN STRUCTURAL RELIABILITY ANALYSIS
CHENXIAO SONG
Bulletin of the Australian Mathematical Society, Volume 108, Issue 3

Article
RATIONAL AND GENERALISED RATIONAL CHEBYSHEV APPROXIMATION PROBLEMS AND THEIR APPLICATIONS
VINESHA PEIRIS
Bulletin of the Australian Mathematical Society, Volume 107, Issue 2

Article
Reconstruction problems of convex bodies from surface area measures and lightness functions
Gangsong Leng, Chang Liu, Dongmeng Xi
Canadian Journal of Mathematics, Volume 75, Issue 5

Article
Computing harmonic maps between Riemannian manifolds
Jonah Gaster, Brice Loustau, Léonard Monsaingeon
Canadian Journal of Mathematics, Volume 75, Issue 2

Article
CONFIDENCE INTERVALS IN GENERAL REGRESSION MODELS THAT UTILISE UNCERTAIN PRIOR INFORMATION
NISHIKA RANATHUNGA
Bulletin of the Australian Mathematical Society, Volume 105, Issue 3

Article
ALGORITHM TO CONSTRUCT INTEGRO SPLINES
R. MIJIDDORJ, T. ZHANLAV
The ANZIAM Journal, Volume 63, Issue 3

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Numerical methods in complex analysis (potential theory, etc.) (65Exx)

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Article
Three-Dimensional Cavitation Bubble Simulations based on Lattice Boltzmann Model Coupled with Carnahan-Starling Equation of State
Yanwen Su, Xuelin Tang, Fujun Wang, Xiaoqin Li, Xiaoyan Shi
Communications in Computational Physics, Volume 22, Issue 2

Article
A Conservative Parallel Iteration Scheme for Nonlinear Diffusion Equations on Unstructured Meshes
Yunlong Yu, Yanzhong Yao, Guangwei Yuan, Xingding Chen
Communications in Computational Physics, Volume 20, Issue 5

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Numerical linear algebra (65fxx)

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Article
Sparse linear least-squares problems
Jennifer Scott, Miroslav Tůma
Acta Numerica, Volume 34

Article
Acceleration methods for fixed-point iterations
Yousef Saad
Acta Numerica, Volume 34

Article
HANKEL DETERMINANTS OF FACTORIAL FRACTIONS
WENCHANG CHU
Bulletin of the Australian Mathematical Society, Volume 105, Issue 1

Article
STREAMLINED SOLUTIONS TO MULTILEVEL SPARSE MATRIX PROBLEMS
TUI H. NOLAN, MATT P. WAND
The ANZIAM Journal, Volume 62, Issue 1

Article
Integrable Properties of a Variant of the Discrete Hungry Toda Equations and Their Relationship to Eigenpairs of Band Matrices
Yusuke Nishiyama, Masato Shinjo, Koichi Kondo, Masashi Iwasaki
East Asian Journal on Applied Mathematics, Volume 7, Issue 4

Article
A Convergence Analysis of the MINRES Method for Some Hermitian Indefinite Systems
Ze-Jia Xie, Xiao-Qing Jin, Zhi Zhao
East Asian Journal on Applied Mathematics, Volume 7, Issue 4

Article
Solution of a Nonlinear Eigenvalue Problem Using Signed Singular Values
Kouhei Ooi, Yoshinori Mizuno, Tomohiro Sogabe, Yusaku Yamamoto, Shao-Liang Zhang
East Asian Journal on Applied Mathematics, Volume 7, Issue 4

Article
Computing Optimal Forcing Using Laplace Preconditioning
M. Brynjell-Rahkola, L. S. Tuckerman, P. Schlatter, D. S. Henningson
Communications in Computational Physics, Volume 22, Issue 5

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Error analysis and interval analysis (65Gxx)

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Article
Smooth imploding solutions for 3D compressible fluids
Tristan Buckmaster, Gonzalo Cao-Labora, Javier Gómez-Serrano
Forum of Mathematics, Pi, Volume 13

Article
Floating-point arithmetic
Sylvie Boldo, Claude-Pierre Jeannerod, Guillaume Melquiond, Jean-Michel Muller
Acta Numerica, Volume 32

Article
Higher order log-concavity of the overpartition function and its consequences
Gargi Mukherjee, Helen W. J. Zhang, Ying Zhong
Proceedings of the Edinburgh Mathematical Society, Volume 66, Issue 1

Article
A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State
Qiujin Peng
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 5

Article
Numerical Effects of the Gaussian Recursive Filters in Solving Linear Systems in the 3Dvar Case Study
Salvatore Cuomo, Ardelio Galletti, Giulio Giunta, Livia Marcellino
Numerical Mathematics: Theory, Methods and Applications, Volume 10, Issue 3

Article
THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM
XIN LIANG, REN-CANG LI
Forum of Mathematics, Sigma, Volume 3

Article
Computing the Smallest Eigenvalue of Large Ill-Conditioned Hankel Matrices
Niall Emmart, Yang Chen, Charles C. Weems
Communications in Computational Physics, Volume 18, Issue 1

Article
A NEW FORMULA FOR ADOMIAN POLYNOMIALS AND THE ANALYSIS OF ITS TRUNCATED SERIES SOLUTION FOR FRACTIONAL NON-DIFFERENTIABLE INITIAL VALUE PROBLEMS
M. M. KHADER
The ANZIAM Journal, Volume 55, Issue 1

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Nonlinear algebraic or transcendental equations (65Hxx)

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Article
Acceleration methods for fixed-point iterations
Yousef Saad
Acta Numerica, Volume 34

Article
Rigid continuation paths II. structured polynomial systems
Peter Bürgisser, Felipe Cucker, Pierre Lairez
Forum of Mathematics, Pi, Volume 11

Article
CONTINUITY OF ROOTS, REVISITED
DARIUSZ BUGAJEWSKI, PIOTR MAĆKOWIAK
Bulletin of the Australian Mathematical Society, Volume 98, Issue 3

Article
Semilocal Convergence Theorem for a Newton-like Method
Rong-Fei Lin, Qing-Biao Wu, Min-Hong Chen, Lu Liu, Ping-Fei Dai
East Asian Journal on Applied Mathematics, Volume 7, Issue 3

Article
Efficient Preconditioner and Iterative Method for Large Complex Symmetric Linear Algebraic Systems
Li Dan Liao, Guo Feng Zhang
East Asian Journal on Applied Mathematics, Volume 7, Issue 3

Article
Multiplicative Noise Removal Based on Unbiased Box-Cox Transformation
Yu-Mei Huang, Hui-Yin Yan, Tieyong Zeng
Communications in Computational Physics, Volume 22, Issue 3

Article
Modulus-based Synchronous Multisplitting Iteration Methods for an Implicit Complementarity Problem
Chen-Liang Li, Jun-Tao Hong
East Asian Journal on Applied Mathematics, Volume 7, Issue 2

Article
Semilocal Convergence Analysis for MMN-HSS Methods under Hölder Conditions
Yang Li, Xue-Ping Guo
East Asian Journal on Applied Mathematics, Volume 7, Issue 2

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Numerical analysis in abstract spaces (65Jxx)

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Article
Instability in deep learning – when algorithms cannot compute uncertainty quantifications for neural networks
Luca Eva Gazdag, Vegard Antun, Anders C. Hansen
European Journal of Applied Mathematics, Volume 37, Issue 1

Article
Low-rank tensor methods for partial differential equations
Markus Bachmayr
Acta Numerica, Volume 32

Article
Perturbation Analysis of Orthogonal Least Squares
Pengbo Geng, Wengu Chen, Huanmin Ge
Canadian Mathematical Bulletin, Volume 62, Issue 4

Article
Minimal convex extensions and finite difference discretisation of the quadratic Monge–Kantorovich problem
JEAN-DAVID BENAMOU, VINCENT DUVAL
European Journal of Applied Mathematics, Volume 30, Issue 6

Article
Forward-reverse expectation-maximization algorithm for Markov chains: convergence and numerical analysis
Christian Bayer, Hilmar Mai, John Schoenmakers
Advances in Applied Probability, Volume 50, Issue 2

Article
Hybrid Variational Model for Texture Image Restoration
Liyan Ma, Tieyong Zeng, Gongyan Li
East Asian Journal on Applied Mathematics, Volume 7, Issue 3

Article
Exponentially accurate Hamiltonian embeddings of symplectic A-stable Runge–Kutta methods for Hamiltonian semilinear evolution equations
Claudia Wulff, Marcel Oliver
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 146, Issue 6

Article
Two-Stage Image Segmentation Scheme Based on Inexact Alternating Direction Method
Zhanjiang Zhi, Yi Sun, Zhi-Feng Pang
Numerical Mathematics: Theory, Methods and Applications, Volume 9, Issue 3

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Mathematical programming, optimization and variational techniques (65Kxx)

Ordinary differential equations (65Lxx)

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Article
ANALYSIS OF FOURTH-ORDER DIFFERENCE APPROXIMATION SCHEMES FOR FRACTIONAL DIFFUSION EQUATIONS
W. A. GUNARATHNA, HANIFFA NASIR, KAMEL NAFA
The ANZIAM Journal, Volume 67

Article
FULLY DECOUPLED ARBITRARILY HIGH-ORDER CONSERVATIVE SCHEMES FOR THE SCHRÖDINGER–BOUSSINESQ EQUATION
JIN-LIANG YAN, LIANGHONG ZHENG, LING ZHU
The ANZIAM Journal, Volume 67

Article
Time parallelization for hyperbolic and parabolic problems
Martin J. Gander, Shu-Lin Wu, Tao Zhou
Acta Numerica, Volume 34

Article
DOUGLAS–RACHFORD ALGORITHM FOR OPTIMAL CONTROL PROBLEMS
BETHANY I. CALDWELL
Bulletin of the Australian Mathematical Society, Volume 112, Issue 2

Article
GENERIC PLANAR PHASE RESETTING NEAR A PHASELESS POINT
K. H. LEE, N. G. R. BRODERICK, B. KRAUSKOPF, H. M. OSINGA
The ANZIAM Journal, Volume 67

Article
MICRO-MACRO PARAREAL, FROM ORDINARY DIFFERENTIAL EQUATIONS TO STOCHASTIC DIFFERENTIAL EQUATIONS AND BACK AGAIN
IGNACE BOSSUYT, STEFAN VANDEWALLE, GIOVANNI SAMAEY
The ANZIAM Journal, Volume 67

Article
Splitting methods for differential equations
Sergio Blanes, Fernando Casas, Ander Murua
Acta Numerica, Volume 33

Article
The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators
Adrien Laurent, Robert I. McLachlan, Hans Z. Munthe-Kaas, Olivier Verdier
Forum of Mathematics, Sigma, Volume 11

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Partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

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Article
FULLY DECOUPLED ARBITRARILY HIGH-ORDER CONSERVATIVE SCHEMES FOR THE SCHRÖDINGER–BOUSSINESQ EQUATION
JIN-LIANG YAN, LIANGHONG ZHENG, LING ZHU
The ANZIAM Journal, Volume 67

Article
Cut finite element methods
Erik Burman, Peter Hansbo, Mats G. Larson, Sara Zahedi
Acta Numerica, Volume 34

Article
Time parallelization for hyperbolic and parabolic problems
Martin J. Gander, Shu-Lin Wu, Tao Zhou
Acta Numerica, Volume 34

Article
The discontinuous Petrov–Galerkin method
Leszek Demkowicz, Jay Gopalakrishnan
Acta Numerica, Volume 34

Article
AN INVESTIGATION ON NONLINEAR OPTION PRICING BEHAVIOURS THROUGH A NEW FRÉCHET DERIVATIVE-BASED QUADRATURE APPROACH
S. GULEN, M. SARI
The ANZIAM Journal, Volume 66, Issue 4

Article
Dynamical behaviour of a logarithmically sensitive chemotaxis model under time-dependent boundary conditions
Padi Fuster Aguilera, Kun Zhao
European Journal of Applied Mathematics, Volume 36, Issue 3

Article
ON WELL-POSED BOUNDARY CONDITIONS AND ENERGY STABLE FINITE-VOLUME METHOD FOR THE LINEAR SHALLOW WATER WAVE EQUATION
RUDI PRIHANDOKO, KENNETH DURU, STEPHEN ROBERTS, CHRISTOPHER ZOPPOU
The ANZIAM Journal, Volume 66, Issue 3

Article
On the rate of convergence for an α-stable central limit theorem under sublinear expectation
Mingshang Hu, Lianzi Jiang, Gechun Liang
Journal of Applied Probability, Volume 62, Issue 1

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Partial differential equations, boundary value problems (65Nxx)

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Article
Cut finite element methods
Erik Burman, Peter Hansbo, Mats G. Larson, Sara Zahedi
Acta Numerica, Volume 34

Article
Optimization problems governed by systems of PDEs with uncertainties
Matthias Heinkenschloss, Drew P. Kouri
Acta Numerica, Volume 34

Article
The discontinuous Petrov–Galerkin method
Leszek Demkowicz, Jay Gopalakrishnan
Acta Numerica, Volume 34

Article
Numerical solution of a PDE arising from prediction with expert advice
Jeff Calder, Nadejda Drenska, Drisana Mosaphir
European Journal of Applied Mathematics, Volume 37, Issue 1

Article
FURTHER ACCURACY VERIFICATION OF A 2D ADAPTIVE MESH REFINEMENT METHOD USING STEADY FLOW PAST A SQUARE CYLINDER
R. LAL, Z. LI
The ANZIAM Journal, Volume 67

Article
Adaptive finite element methods
Andrea Bonito, Claudio Canuto, Ricardo H. Nochetto, Andreas Veeser
Acta Numerica, Volume 33

Article
A finite-volume scheme for fractional diffusion on bounded domains
Rafael Bailo, José A. Carrillo, Stefano Fronzoni, David Gómez-Castro
European Journal of Applied Mathematics, Volume 36, Issue 2

Article
NUMERICAL SIMULATIONS FOR LARGELY DEFORMED BEAMS AND RINGS ADOPTING A NONTENSILE SMOOTHED PARTICLE HYDRODYNAMICS ALGORITHM
THIEN TRAN-DUC, MICHAEL H. MEYLAN, NGAMTA THAMWATTANA
The ANZIAM Journal, Volume 64, Issue 4

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Numerical problems in dynamical systems (65Pxx)

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Article
Splitting methods for differential equations
Sergio Blanes, Fernando Casas, Ander Murua
Acta Numerica, Volume 33

Article
BAYESIAN METHODS AND POLYNOMIAL CHAOS: APPLICATION TO FINDING CARDIAC BIDOMAIN PARAMETERS
ABBISH KAMALAKKANNAN
Bulletin of the Australian Mathematical Society, Volume 110, Issue 1

Article
Compatible finite element methods for geophysical fluid dynamics
Colin J. Cotter
Acta Numerica, Volume 32

Article
Secondary frequency control stabilising voltage dynamics
EDER BATISTA TCHAWOU TCHUISSEU, ERIC-DONALD DONGMO, PAVEL PROCHÁZKA, PAUL WOAFO, PERE COLET, BENJAMIN SCHÄFER
European Journal of Applied Mathematics, Volume 34, Issue 3

Article
Dispersive fractalisation in linear and nonlinear Fermi–Pasta–Ulam–Tsingou lattices
PETER J. OLVER, ARI STERN
European Journal of Applied Mathematics, Volume 32, Issue 5

Article
Deep learning models for global coordinate transformations that linearise PDEs
CRAIG GIN, BETHANY LUSCH, STEVEN L. BRUNTON, J. NATHAN KUTZ
European Journal of Applied Mathematics, Volume 32, Issue 3

Article
CALCULATION OF CRITICAL PARAMETERS FOR SPONTANEOUS COMBUSTION FOR SOME COMPLEX GEOMETRIES USING AN INDIRECT NUMERICAL METHOD
QUANBING LUO, DONG LIANG, TING REN, JIAN ZHANG
The ANZIAM Journal, Volume 59, Issue 3

Article
COUPLE MICROSCALE PERIODIC PATCHES TO SIMULATE MACROSCALE EMERGENT DYNAMICS
HAMMAD ALOTAIBI, BARRY COX, A. J. ROBERTS
The ANZIAM Journal, Volume 59, Issue 3

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Difference and functional equations, recurrence relations (65Qxx)

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Article
Random population dynamics under catastrophic events
Patrick Cattiaux, Jens Fischer, Sylvie Rœlly, Samuel Sindayigaya
Journal of Applied Probability, Volume 59, Issue 4

Article
DYNAMIC RELATIONSHIP BETWEEN THE MUTUAL INTERFERENCE AND GESTATION DELAYS OF A HYBRID TRITROPHIC FOOD CHAIN MODEL
RASHMI AGRAWAL, DEBALDEV JANA, RANJIT KUMAR UPADHYAY, V. SREE HARI RAO
The ANZIAM Journal, Volume 59, Issue 3

Article
Computation of Hyperspherical Bessel Functions
Thomas Tram
Communications in Computational Physics, Volume 22, Issue 3

Article
ON THE EVENTUAL PERIODICITY OF PIECEWISE LINEAR CHAOTIC MAPS
M. ALI KHAN, ASHVIN V. RAJAN
Bulletin of the Australian Mathematical Society, Volume 95, Issue 3

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Integral equations, integral transforms (65Rxx)

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Article
A MESHLESS LOCAL GALERKIN INTEGRAL EQUATION METHOD FOR SOLVING A TYPE OF DARBOUX PROBLEMS BASED ON RADIAL BASIS FUNCTIONS
P. ASSARI, F. ASADI-MEHREGAN, M. DEHGHAN
The ANZIAM Journal, Volume 63, Issue 4

Article
MODELLING HUMAN CARRYING CAPACITY AS A FUNCTION OF FOOD AVAILABILITY
DINY ZULKARNAEN, MARIANITO R. RODRIGO
The ANZIAM Journal, Volume 62, Issue 3

Article
Semi-analytical solution of a McKean–Vlasov equation with feedback through hitting a boundary
ALEXANDER LIPTON, VADIM KAUSHANSKY, CHRISTOPH REISINGER
European Journal of Applied Mathematics, Volume 32, Issue 6

Article
Non-convex Optimization via Strongly Convex Majorization-minimization
Azita Mayeli
Canadian Mathematical Bulletin, Volume 63, Issue 4

Article
Estimation of a Regularisation Parameter for a Robin Inverse Problem
Xi-Ming Fang, Fu-Rong Lin, Chao Wang
East Asian Journal on Applied Mathematics, Volume 7, Issue 2

Article
BREAKING THE COHERENCE BARRIER: A NEW THEORY FOR COMPRESSED SENSING
BEN ADCOCK, ANDERS C. HANSEN, CLARICE POON, BOGDAN ROMAN
Forum of Mathematics, Sigma, Volume 5

Article
A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation
Hu Li, Jin Huang
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 2

Article
Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain
Wei Zhang, Jiang Yang, Jiwei Zhang, Qiang Du
Communications in Computational Physics, Volume 21, Issue 1

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Graphical methods (65Sxx)

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Numerical methods in Fourier analysis (65Txx)

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Article
A New Method for High-Degree Spline Interpolation: Proof of Continuity for Piecewise Polynomials
A. Pepin, S. S. Beauchemin, S. Léger, N. Beaudoin
Canadian Mathematical Bulletin, Volume 63, Issue 3

Article
AN EXPLICIT TWO-SOURCE EXTRACTOR WITH MIN-ENTROPY RATE NEAR $4/9$
Mark Lewko
Mathematika, Volume 65, Issue 4

Article
Precorrected-FFT Accelerated Singular Boundary Method for Large-Scale Three-Dimensional Potential Problems
Weiwei Li, Wen Chen, Zhuojia Fu
Communications in Computational Physics, Volume 22, Issue 2

Article
IMAGE INPAINTING FROM PARTIAL NOISY DATA BY DIRECTIONAL COMPLEX TIGHT FRAMELETS
YI SHEN, BIN HAN, ELENA BRAVERMAN
The ANZIAM Journal, Volume 58, Issue 3-4

Article
Multidimensional Iterative Filtering Method for the Decomposition of High–Dimensional Non–Stationary Signals
Antonio Cicone, Haomin Zhou
Numerical Mathematics: Theory, Methods and Applications, Volume 10, Issue 2

Article
Computing Residual Diffusivity by Adaptive Basis Learning via Spectral Method
Jiancheng Lyu, Jack Xin, Yifeng Yu
Numerical Mathematics: Theory, Methods and Applications, Volume 10, Issue 2

Article
COMPLEX DEMODULATION: A NOVEL TIME SERIES METHOD FOR ANALYSING SEASONAL INFECTIOUS DISEASES
A. B. HOGAN, K. GLASS, R. S. ANDERSSEN
The ANZIAM Journal, Volume 59, Issue 1

Article
Recovering the Damping Rates of Cyclotron Damped Plasma Waves from Simulation Data
Cedric Schreiner, Patrick Kilian, Felix Spanier
Communications in Computational Physics, Volume 21, Issue 4

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Computer aspects of numerical algorithms (65Yxx)

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Article
Time parallelization for hyperbolic and parabolic problems
Martin J. Gander, Shu-Lin Wu, Tao Zhou
Acta Numerica, Volume 34

Article
MONTE CARLO VARIANCE REDUCTION METHODS WITH APPLICATIONS IN STRUCTURAL RELIABILITY ANALYSIS
CHENXIAO SONG
Bulletin of the Australian Mathematical Society, Volume 108, Issue 3

Article
Low-rank tensor methods for partial differential equations
Markus Bachmayr
Acta Numerica, Volume 32

Article
Floating-point arithmetic
Sylvie Boldo, Claude-Pierre Jeannerod, Guillaume Melquiond, Jean-Michel Muller
Acta Numerica, Volume 32

Article
Rigid continuation paths II. structured polynomial systems
Peter Bürgisser, Felipe Cucker, Pierre Lairez
Forum of Mathematics, Pi, Volume 11

Article
Functional norms, condition numbers and numerical algorithms in algebraic geometry
Felipe Cucker, Alperen A. Ergür, Josué Tonelli-Cueto
Forum of Mathematics, Sigma, Volume 10

Article
JASMIN-based Two-dimensional Adaptive Combined Preconditioner for Radiation Diffusion Equations in Inertial Fusion Research
Xiaoqiang Yue, Xiaowen Xu, Shi Shu
East Asian Journal on Applied Mathematics, Volume 7, Issue 3

Article
GPU-Accelerated LOBPCG Method with Inexact Null-Space Filtering for Solving Generalized Eigenvalue Problems in Computational Electromagnetics Analysis with Higher-Order FEM
A. Dziekonski, M. Rewienski, P. Sypek, A. Lamecki, M. Mrozowski
Communications in Computational Physics, Volume 22, Issue 4

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Applications to physics (65Zxx)

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MSC 2010: Numerical Analysis

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Numerical analysis (65-XX)

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Tables (65Axx)

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Acceleration of convergence (65Bxx)

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Probabilistic methods, simulation and stochastic differential equations (65Cxx)

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Numerical approximation and computational geometry (primarily algorithms) (65Dxx)

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Numerical methods in complex analysis (potential theory, etc.) (65Exx)

Numerical linear algebra (65fxx)

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Error analysis and interval analysis (65Gxx)

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Nonlinear algebraic or transcendental equations (65Hxx)

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Numerical analysis in abstract spaces (65Jxx)

Mathematical programming, optimization and variational techniques (65Kxx)

Ordinary differential equations (65Lxx)

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Partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

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Partial differential equations, boundary value problems (65Nxx)

Numerical problems in dynamical systems (65Pxx)

Difference and functional equations, recurrence relations (65Qxx)

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Integral equations, integral transforms (65Rxx)

Graphical methods (65Sxx)

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Numerical methods in Fourier analysis (65Txx)