Found 157 Documents (Results 1–100)
The application of fuzzy transform method to the initial value problems of linear differential-algebraic equations. (English) Zbl 1541.65060
Symbolic matrix factorization for differential-algebraic equations index reduction. (English) Zbl 1543.65127
Stability and stabilizability of positive switched discrete-time linear singular systems. (English) Zbl 1537.93637
On the solvability of boundary value problems for linear differential-algebraic equations with constant coefficients. (English) Zbl 07840370
Markin, Marat V. (ed.) et al., Advances in functional analysis and operator theory. AMS-EMS-SMF special session, Université de Grenoble-Alpes, Grenoble, France, July 18–22, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 798, 13-19 (2024).
Reviewer: Gabriel Thomas (Grenoble)
Splitting schemes for the semi-linear wave equation with dynamic boundary conditions. (English) Zbl 07783922
Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems. (English) Zbl 1528.37071
A numerical algorithm for solving index-1 weakly singular integral-algebraic equations with non-smooth solutions. (English) Zbl 07744450
MSC:
65Rxx
Singularities of quasi-linear differential equations. (Russian. English summary) Zbl 1517.34016
On singular points of linear differential-algebraic equations with perturbations in the form of integral operators. (English. Russian original) Zbl 1523.34010
Comput. Math. Math. Phys. 63, No. 6, 1028-1044 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 6, 962-978 (2023).
On existence and classification of singular points for higher order differential algebraic equations. (English) Zbl 1528.34015
Reviewer: Vu Hoang Linh (Hà Nội)
Dissipation-preserving discretization of the Cahn-Hilliard equation with dynamic boundary conditions. (English) Zbl 07710416
Exponential dichotomy and stable manifolds for differential-algebraic equations on the half-line. (English) Zbl 1527.34028
Reviewer: Vu Hoang Linh (Hà Nội)
Multistep methods for second-order differential-algebraic equations. (English. Russian original) Zbl 1523.65068
Differ. Equ. 59, No. 3, 392-403 (2023); translation from Differ. Uravn. 59, No. 3, 389-399 (2023).
Construction of Rosenbrock-Wanner method Rodas5P and numerical benchmarks within the Julia differential equations package. (English) Zbl 1512.65001
Properties of degenerate systems of linear integro-differential equations and initial value problems for these equations. (English. Russian original) Zbl 1514.45004
Differ. Equ. 59, No. 1, 13-28 (2023); translation from Differ. Uravn. 59, No. 1, 15-29 (2023).
Analysis of a quasilinear coupled magneto-quasistatic model: solvability and regularity of solutions. (English) Zbl 1517.35222
Reviewer: Hongyu Liu (Hong Kong)
Error analysis for Galerkin-BDF discretizations of DAEs with elliptic operator constraints. (English) Zbl 1503.65228
On the numerical solution of second-order stiff linear differential-algebraic equations. (Russian. English summary) Zbl 1524.65300
Singularly perturbed problems with multi-tempo fast variables. (English. Russian original) Zbl 1508.93210
Autom. Remote Control 83, No. 11, 1679-1723 (2022); translation from Avtom. Telemekh. 2022, No. 11, 3-61 (2022).
On a certain class of quasilinear second-order differential-algebraic equations. (English. Russian original) Zbl 1514.34029
J. Math. Sci., New York 268, No. 1, 15-23 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 173, 17-25 (2019).
On the sensitivity of implementations of a least-squares collocation method for linear higher-index differential-algebraic equations. (English) Zbl 1511.65073
Index-aware model-order reduction for a special class of nonlinear differential-algebraic equations. (English) Zbl 1519.93041
Solvability and stability of stochastic singular difference equations with constant coefficient matrices of index-\(\nu\). (English) Zbl 1498.93763
Local analytic classification for quasi-linear implicit differential systems at transversal singular points. (English) Zbl 1503.34041
Reviewer: Alexey O. Remizov (Moskva)
Collocation-variational approaches to the solution to Volterra integral equations of the first kind. (English. Russian original) Zbl 1484.65336
Comput. Math. Math. Phys. 62, No. 1, 98-105 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 1, 105-112 (2022).
Towards a reliable implementation of least-squares collocation for higher index differential-algebraic equations. II: The discrete least-squares problem. (English) Zbl 1484.65165
Towards a reliable implementation of least-squares collocation for higher index differential-algebraic equations. I: Basics and ansatz function choices. (English) Zbl 1484.65164
Singular perturbation results for linear partial differential-algebraic equations of hyperbolic type. (English) Zbl 1484.35023
Input-tailored system-theoretic model order reduction for quadratic-bilinear systems. (English) Zbl 1480.93056
Balancing-related model reduction methods. (English) Zbl 1505.93028
Benner, Peter (ed.) et al., Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 15-56 (2021).
On stability, Bohl exponent and Bohl-Perron theorem for implicit dynamic equations. (English) Zbl 1478.93495
MathEnergy – mathematical key technologies for evolving energy grids. (English) Zbl 1471.93045
Göttlich, Simone (ed.) et al., Mathematical modeling, simulation and optimization for power engineering and management. Cham: Springer. Math. Ind. 34, 233-262 (2021).
Existence and uniqueness of solution for multidimensional parabolic partial differential-algebraic equations arising in semiconductor modeling. (English) Zbl 1471.35286
A multiscale method for heterogeneous bulk-surface coupling. (English) Zbl 1471.65132
Reviewer: Jan Giesselmann (Darmstadt)
Efficient parallel-in-time solution of time-periodic problems using a multiharmonic coarse grid correction. (English) Zbl 1462.65082
Global solvability of time-varying semilinear differential-algebraic equations, boundedness and stability of their solutions. II. (English. Russian original) Zbl 1466.34015
Differ. Equ. 57, No. 2, 196-209 (2021); translation from Differ. Uravn. 57, No. 2, 210-223 (2021).
Reviewer: Gabriel Thomas (Grenoble)
Global solvability of time-varying semilinear differential-algebraic equations, boundedness and stability of their solutions. I. (English. Russian original) Zbl 1466.34014
Differ. Equ. 57, No. 1, 19-40 (2021); translation from Differ. Uravn. 57, No. 1, 22-42 (2021).
Reviewer: Gabriel Thomas (Grenoble)
A reliable direct numerical treatment of differential-algebraic equations by overdetermined collocation: an operator approach. (English) Zbl 1458.65105
Convergence analysis of least-squares collocation methods for nonlinear higher-index differential-algebraic equations. (English) Zbl 1458.65104
InitDAE: computation of consistent values, index determination and diagnosis of singularities of DAEs using automatic differentiation in Python. (English) Zbl 1458.65163
Modeling and discretization methods for the numerical simulation of elastic frame structures. (English) Zbl 1452.74107
Stability radii of differential-algebraic equations with respect to stochastic perturbations. (English) Zbl 1454.93222
A new approach for computing the exact solutions of DAEs in generalized Hessenberg forms. (English) Zbl 1513.65267
Global boundedness and stability of solutions of nonautonomous degenerate differential equations. (English) Zbl 1461.34018
Singularities of the robotic arm DAE. (English) Zbl 1471.70007
Reis, Timo (ed.) et al., Progress in differential-algebraic equations II. Proceedings of the 9th workshop on descriptor systems, Paderborn, Germany, March 17–20, 2019. Cham: Springer. Differ.-Algebr. Equ. Forum, 433-480 (2020).
Observers for differential-algebraic systems with Lipschitz or monotone nonlinearities. (English) Zbl 1453.93094
Reis, Timo (ed.) et al., Progress in differential-algebraic equations II. Proceedings of the 9th workshop on descriptor systems, Paderborn, Germany, March 17–20, 2019. Cham: Springer. Differ.-Algebr. Equ. Forum, 257-289 (2020).
Exponential integrators for semi-linear parabolic problems with linear constraints. (English) Zbl 1454.65101
Reis, Timo (ed.) et al., Progress in differential-algebraic equations II. Proceedings of the 9th workshop on descriptor systems, Paderborn, Germany, March 17–20, 2019. Cham: Springer. Differ.-Algebr. Equ. Forum, 137-164 (2020).
Least-squares collocation for higher-index DAEs: global approach and attempts toward a time-stepping version. (English) Zbl 1453.65202
Reis, Timo (ed.) et al., Progress in differential-algebraic equations II. Proceedings of the 9th workshop on descriptor systems, Paderborn, Germany, March 17–20, 2019. Cham: Springer. Differ.-Algebr. Equ. Forum, 91-135 (2020).
Basic characteristics of differential-algebraic operators. (English) Zbl 1457.34022
Reis, Timo (ed.) et al., Progress in differential-algebraic equations II. Proceedings of the 9th workshop on descriptor systems, Paderborn, Germany, March 17–20, 2019. Cham: Springer. Differ.-Algebr. Equ. Forum, 39-70 (2020).
Reviewer: Gabriel Thomas (Grenoble)
A projector based decoupling of DAEs obtained from the derivative array. (English) Zbl 1462.34025
Reis, Timo (ed.) et al., Progress in differential-algebraic equations II. Proceedings of the 9th workshop on descriptor systems, Paderborn, Germany, March 17–20, 2019. Cham: Springer. Differ.-Algebr. Equ. Forum, 3-38 (2020).
Reviewer: Vu Hoang Linh (Hanoi)
On the relation between the properties of a degenerate linear-quadratic control problem and the Euler-Poisson equation. (English. Russian original) Zbl 1450.49016
Comput. Math. Math. Phys. 60, No. 3, 390-403 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 3, 391-404 (2020).
Upon the concept of index of linear partial differential-algebraic equations. (English. Russian original) Zbl 1448.35100
Sib. Math. J. 61, No. 5, 913-925 (2020); translation from Sib. Mat. Zh. 61, No. 5, 1144-1158 (2020).
Associate submersions and qualitative properties of nonlinear circuits with implicit characteristics. (English) Zbl 1442.53073
Approximate causal output tracking for linear perturbed systems via sliding mode control. (English) Zbl 1436.93029
Collocation-variation difference schemes with several collocation points for differential-algebraic equations. (English) Zbl 1437.65085
Solution of differential algebraic equations with the Fredholm operator by the least squares method. (English) Zbl 07172959
MSC:
65L80
Robust error-feedback arbitrary references tracking for discrete-time linear perturbed systems. (English) Zbl 1429.93080
A structural analysis of field/circuit coupled problems based on a generalised circuit element. (English) Zbl 1447.78014
Reviewer: Jichun Li (Las Vegas)
Index-aware MOR for gas transport networks. (English) Zbl 1428.93025
Fehr, Jörg (ed.) et al., IUTAM symposium on model order reduction of coupled systems. MORCOS 2018. Proceedings of the IUTAM symposium, Stuttgart, Germany, May 22–25, 2018. Cham: Springer. IUTAM Bookser. 36, 191-207 (2020).
Stability criteria for neutral delay differential-algebraic equations with many delays. (English) Zbl 1485.34182
Multirate PWM balance method for the efficient field-circuit coupled simulation of power converters. (English) Zbl 1511.78008
Systems of differential algebraic equations in computational electromagnetics. (English) Zbl 1444.78001
Campbell, Stephen (ed.) et al., Applications of differential-algebraic equations: examples and benchmarks. Cham: Springer. Differ.-Algebr. Equ. Forum, 123-169 (2019).
DAE aspects in vehicle dynamics and mobile robotics. (English) Zbl 1447.93227
Campbell, Stephen (ed.) et al., Applications of differential-algebraic equations: examples and benchmarks. Cham: Springer. Differ.-Algebr. Equ. Forum, 37-80 (2019).
Stability analysis of high order Runge-Kutta methods for index 1 stochastic differential-algebraic equations with scalar noise. (English) Zbl 1433.65010
Optimal control of differential-algebraic equations from an ordinary differential equation perspective. (English) Zbl 1430.49021
Block difference schemes of high order for stiff linear differential-algebraic equations. (English. Russian original) Zbl 1433.65149
Comput. Math. Math. Phys. 59, No. 7, 1049-1057 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 7, 1100-1107 (2019).
Stable numerical solution for a class of structured differential-algebraic equations by linear multistep methods. (English) Zbl 1427.65139
Robust stability of linear time-varying implicit dynamic equations: a general consideration. (English) Zbl 1422.93153
The index and split forms of linear differential-algebraic equations. (English) Zbl 1442.34031
Reviewer: Yuqiang Feng (Wuhan)
Waveform relaxation: a convergence criterion for differential-algebraic equations. (English) Zbl 1480.65196
Reviewer: Phi Ha (Hanoi)
Disturbance decoupled estimation for linear differential-algebraic systems. (English) Zbl 1414.93098
Least-squares collocation for higher-index linear differential-algebraic equations: estimating the instability threshold. (English) Zbl 1455.65124
Reviewer: Phi Ha (Hanoi)
The numerical solution of the semi-explicit IDAEs by discontinuous piecewise polynomial approximation. (English) Zbl 1429.65321
Lagrange stability and instability of irregular semilinear differential-algebraic equations and applications. (English. Russian original) Zbl 1425.34034
Ukr. Math. J. 70, No. 6, 947-979 (2018); translation from Ukr. Mat. Zh. 70, No. 6, 823-847 (2018).
A direct index 1 DAE model of gas networks. (English) Zbl 1416.78021
Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 99-119 (2018).
Collocation-variation difference schemes for differential-algebraic equations. (English) Zbl 1406.65055
Numerical analysis and computational solution of integro-differential equations. (English) Zbl 1405.65165
Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer (ISBN 978-3-319-72455-3/hbk; 978-3-319-72456-0/ebook). 205-231 (2018).
Bohl-Perron type stability theorems for linear singular difference equations. (English) Zbl 1406.39022
Reviewer: Victor I. Tkachenko (Kyïv)
Evaluation of the index and singular points of linear differential-algebraic equations of higher order. (English. Ukrainian original) Zbl 1458.65102
J. Math. Sci., New York 231, No. 6, 827-845 (2018); translation from Neliniĭni Kolyvannya 20, No. 2, 274-288 (2017).
A new approach for computing consistent initial values and Taylor coefficients for DAEs using projector-based constrained optimization. (English) Zbl 1409.65049
Reviewer: Alan L. Andrew (Bundoora)
Runge-Kutta methods revisited for a class of structured strangeness-free differential-algebraic equations. (English) Zbl 1448.65085
Constant-coefficient differential-algebraic operators and the Kronecker form. (English) Zbl 1439.34017
MSC:
34A09
On self-regularization properties of a difference scheme for linear differential-algebraic equations. (English) Zbl 1398.65197
MSC:
65L80
Index-analysis for a method of lines discretising multirate partial differential algebraic equations. (English) Zbl 1397.65169
Exponential stability and robust stability for linear time-varying singular systems of second order difference equations. (English) Zbl 1383.39018
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