Tag: numerical-integration

66 When can I assume that all decimal digits returned by Mathematica are provably correct? 2013-06-24T05:11:35.270

39 Nested NIntegrate 2012-09-12T19:18:52.270

38 Complex valued 2+1D PDE Schrödinger equation, numerical method for `NDSolve`? 2013-06-29T08:00:42.250

37 How to implement custom integration rules for use by NIntegrate? 2016-06-13T14:58:10.297

34 Determining which rule NIntegrate selects automatically 2013-06-04T17:15:52.407

33 Numerical integration --- Mathematica vs Python (w/ Scipy) performance 2015-09-14T22:52:06.723

32 How to use NDSolve to track equilibrium? 2012-01-22T14:37:54.197

31 Numerical solution of coupled ODEs with boundary conditions 2013-10-06T15:33:37.460

29 Publishing results obtained in Mathematica 2012-03-22T16:08:19.693

28 1D Euler equations (fluid dynamics) with NDSolve 2012-10-08T22:04:30.523

28 Programming a numerical method in the functional style 2013-03-31T13:41:02.567

27 How to solve a non-linear integral equation? 2013-03-11T15:41:14.507

26 Gillespie Stochastic Simulation Algorithm 2016-07-01T06:58:10.300

25 Using a compiled function inside NIntegrate gives "CompiledFunction::cfsa" message 2013-01-18T08:13:59.433

24 Is there an NDSolve`ProcessEquations analog for NIntegrate? 2012-01-18T18:45:09.217

24 Numerical Fourier transform of a complicated function 2012-02-13T22:33:54.063

24 How to integrate functions of linearly interpolated data? 2013-02-01T11:36:34.063

24 Optimizing a Numerical Laplace Equation Solver 2013-04-19T09:49:08.257

24 3D orbits and inaccuracy over time 2013-05-11T12:01:56.193

24 Is there any possibility to implement a structure like a ProgressIndicator into NDSolve? 2017-01-05T10:07:22.093

23 Solving a Volterra integral equation numerically 2012-04-24T01:58:38.320

23 I failed to solve a set of one-dimension fluid mechanics PDEs with NDSolve 2012-08-10T05:03:45.183

23 Numerical inverse Laplace-Hankel transform 2016-04-21T16:29:54.330

23 Easy way to plot ODE solutions from NDSolve? 2016-12-25T01:16:12.593

23 Implement fractional Laplacian 2017-09-24T00:22:14.493

21 Why does Mathematica give the wrong answer when integrating? 2012-03-08T19:31:24.380

21 How to speed up the plot of NIntegrate? 2013-04-23T12:21:29.303

21 How to calculate the volume of a convex hull? 2013-05-24T16:50:24.180

21 Only final result from NDSolve 2013-08-25T17:03:34.560

21 Least effort to handle a point source inside the domain of PDE(s) 2015-01-16T22:34:51.020

21 More efficient method to compute moments of the Johnson $S_B$ distribution 2015-10-24T10:55:52.130

21 NDSolve uses different difference order for different spatial derivative when solving PDE 2016-10-20T06:52:22.657

20 NDSolve with Euler method 2012-10-11T20:06:34.890

20 Plotting separatrices for nonlinear system 2015-04-19T05:49:05.083

20 How do I create a triangulated surface from points? 2015-06-17T22:14:47.580

20 How to implement custom NIntegrate integration strategies? 2016-06-20T22:10:39.507

19 Finding the volume of a sphere using the Monte Carlo algorithm 2013-11-09T17:44:03.600

19 A bug in Integrate 2015-05-22T11:05:28.130

19 Numerically solve the initial value problem for the 1-D wave equation 2016-10-12T06:53:02.913

18 What is NDSolve`FEM`*? 2012-03-21T04:26:27.957

18 How do I obtain the enclosed area of this particular parametric plot? 2013-04-02T21:36:33.607

18 Inconsistent behavior of WhenEvent[ ] 2013-12-24T17:40:59.103

18 Is it possible to calculate a Lebesgue integral in Mathematica? 2014-02-10T15:04:18.087

18 Solve differential equation using a integral form boundary condition 2015-06-19T20:53:09.270

17 The difference between "SymbolicProcessing" -> 0 and restricting the function definition to numeric values only 2012-08-28T18:26:25.137

17 Solving a time-dependent Schrödinger equation 2013-03-20T23:31:57.417

17 Mismatch between numerical and analytic evaluation of an integral 2014-08-08T13:40:05.033

17 Piecewise imposes internal boundaries in NDSolve - is this expected? 2015-11-05T21:32:25.490

17 periodic boundary conditions and NDEigensystem 2015-12-05T21:31:46.323

17 What can one do with extremely stiff problem in NDSolve? 2016-04-17T10:24:35.597

16 How to guarantee that NDSolve correctly detects abrupt changes in parameters? 2012-01-21T16:33:06.160

16 Parallelizing Numerical Integration in Mathematica 2012-02-10T23:06:05.997

16 What method does NDSolve use for solving PDEs? 2012-03-18T19:50:22.677

16 Plot MATLAB icon 2014-02-27T04:19:07.450

16 What boundary is added when boundary condition is not sufficient? 2015-02-13T07:18:17.887

16 Solution diverges in periodic PDE 2016-08-24T20:34:02.607

16 This integral is divergent. How to use NIntegrate to see how it grows? 2017-01-10T14:15:17.977

15 Why does LogLinearPlot sample its argument outside the specified domain? 2012-05-24T08:44:21.560

15 How do I prevent NIntegrate::inumr errors within other functions? 2012-07-31T08:49:27.947

15 The only usage for the option InterpolationOrder in NDSolve is to be set to All? 2012-10-29T07:52:27.433

15 NIntegrate error bound 2012-11-13T11:30:47.107

15 WhenEvent and partial derivatives 2013-06-09T04:26:02.253

15 Mathematica9: NDSolve slows down after repeated calls 2013-08-15T09:58:37.293

15 Conservation of area solving a PDE via finite difference scheme 2016-10-11T14:07:12.503

15 What's behind Method -> {"EquationSimplification" -> "Residual"} 2017-01-24T17:23:28.147

15 Solve Laplace equation in Cylindrical - Polar Coordinates 2018-05-31T17:02:29.080

15 Speed up NDSolve compared to Python (calls to LSODA) 2018-09-03T12:02:39.947

14 NDSolve with vectors 2012-11-11T18:02:24.333

14 Why do I get a different value when I change the order of integration? 2014-01-31T01:50:57.600

14 "ParametricSensitivity" in ParametricNDSolve 2015-08-25T01:15:40.113

14 How can I use Mathematica to numerically compute a Wigner spectrogram of an optical pulse? 2015-11-17T12:09:11.517

14 Numerically evaluating an integral related to Cantor's staircase 2015-12-10T16:24:52.823

14 Frequency domain Maxwell equations with PML boundary conditions 2016-03-14T16:44:47.487

14 Where is the numerical solving breaking down? 2019-10-16T23:28:56.563

14 Convert symbolic to numeric code: speed up morphing 2019-11-05T08:00:10.723

13 Kramers-Kronig relations 2012-02-14T18:01:57.403

13 NIntegrating within an Ellipsoid 2012-03-12T15:33:08.300

13 Numerically solving an inhomogeneous partial differential equation 2012-11-06T19:43:49.030

13 Convolution with interpolated function 2012-11-12T10:08:39.417

13 Numerically solve 2nd order differential equation with singularity 2013-05-09T08:12:13.567

13 Different results for integration using Mathematica and MATLAB 2013-12-08T04:23:11.267

13 Obtaining an NIntegrate error estimate 2015-02-19T17:59:43.977

13 How much time should one give Mathematica for an integral evaluation? 2015-06-08T13:53:10.937

13 NIntegrate has a memory leak 2015-08-18T13:29:32.690

13 Time evolution/dynamics of circular plate with hole (Biharmonic equation and stiffness) 2015-09-14T17:05:29.890

13 NDEigensystem returns incorrect eigenvalues for 2D coulomb problem, eigenfunctions contain discontinuity 2016-04-28T21:59:11.220

13 Empty WhenEvent action crashes kernel 2016-05-04T11:56:38.003

13 Boundary condition with spatial derivative is ignored by NDSolve 2016-08-05T20:50:52.280

13 How to calculate the numerical integral more efficiently? 2016-09-10T05:56:48.073

13 Boundary Condition for Schrödinger Equation in Infinite Range 2017-05-08T04:17:11.690

13 The area of a unit disk is $2\pi$? (NIntegrate over a numerical region) 2017-11-03T13:58:21.563

13 Integrate gives wrong result for simple function 2017-11-20T09:25:26.163

13 An ODE system easily polluted with spurious eigenvalues 2018-04-13T14:24:54.637

13 Numerically solving a system of many coupled non-linear ODEs efficiently? 2019-10-27T05:09:05.980

12 Boosting the performance of expensive NIntegrate by feeding in a cheap approximation of the integrand 2012-03-14T11:04:09.707

12 Efficient evaluation of functions defined by NIntegrate 2012-11-08T18:59:29.733

12 Solving a system of ODEs with the Runge-Kutta method 2013-04-18T04:45:03.660

12 Why can't I change the value of MaxRecursion in NIntegrate when integrating BesselJ? 2013-05-07T16:19:47.170

12 Finding x given y from an interpolating function 2013-06-08T10:50:01.757