Excel Calculus Powerhouse Add-in

Solvers just like Built-In Math functions

No coding. No learning curve. Just basic Excel skills

Fast 20-sec installation and you are up and running

".. the ability to share models and results in a highly familiar platform..with near-zero learning-curve in using the program, have compelled me to break from the past and put in the effort to move our models to ExceLab."

"It is easy to learn and support provided by the admin staff is very nice. If anyone working on multi PDEs equation problems, just try this one you will love this solver"

What can you solve with ExceLab

Integrals

Derivatives

Interpolation

Algebraic Systems

ODEs

PDEs

Dyn. Optimization

Optimal Control

Formulas,

*VBA*functions, and`(x,y)`data pointsMultiple integrals of any order by direct nesting

Highly accurate adaptive algorithms

Finite and infinite limits

Singular integrands

$$\underset{0}{\overset{1}{\int}}\frac{lnx}{\sqrt{x}}\cdot dx=?$$

A | |

1 | =LN(X1)/SQRT(X1) |

2 | =QUADF(A1,X1,0,1) |

⇒

A | |

1 | #NUM! |

2 | -4 |

Formulas,

*VBA*functions, and`(x,y)`data pointsMixed partial derivatives of any order by direct nesting

First and higher-order derivatives

Highly-accurate adaptive algorithm

$$f\left(x\right)=xsin\left({x}^{2}\right)+1$$
$$\mathrm{f\xb4}\left(\pi \right)=?$$

A | |

1 | =X1*SIN(X1^2)+1 |

2 | =DERIVF(A1,X1,PI()) |

⇒

A | |

1 | 1 |

2 | -18.248596 |

Map your scattered

`(x,y)`and`(x,y,z)`onto a uniform grid and plot the surface in ExcelBest known Natural Neighbour Algorithm

A | B | C | |

1 | x | y | z |

2 | 0.124162 | 0.011109 | 0.124162 |

3 | 0.468730 | 0.229740 | 0.747031 |

.. | ↓ | ||

51 | 0.222274 | 0.049164 | 0.635259 |

⇒

E | F | G | .. | P | |

1 | 0 | 0.1 | → | 1 | |

2 | 0 | =INTERPXYZ(A2:B51, z, grid_x, grid_y) | |||

3 | 0.1 | ||||

.. | ↓ | ||||

12 | 1 |

⇒

Non-linear coupled equations

Systems with inequalities constraints

Roots of non-linear equations

Proven Levenberg-Marquardt Algorithm

$${10}^{4}{x}_{1}{x}_{2}-1=0$$
$${e}^{-{x}_{1}}+{e}^{-{x}_{2}}-1.0001=0$$
$${x}_{1},{x}_{2}=?$$

A | X | |

1 | =10^4*X1*X2-1 | 1 |

2 | =EXP(-X1)+EXP(-X2)-1.0001 | 1 |

A | B | |

4 | =NLSOLVE(A1:A2,X1:X2) | |

5 |

⇒

A | B | |

4 | X1 | 9.10614674 |

5 | X2 | 1.09816E-05 |

Initial value problems

Boundary value problems

Highly-staple highly-accurate fully-implicit adaptive algorithms

Formatted output ready for plotting in Excel

$$\frac{dx}{dt}=v,x\left(0\right)=1,v\left(0\right)=0$$
$$\frac{dv}{dt}=-2\zeta \omega v-{\omega}^{2}x$$
$$$$

A | B | C | D | |

2 | t | w | 1 | |

3 | x | 1 | zeta | 0.25 |

4 | v | 0 | ||

6 | dx/dt | =v | ||

7 | dv/dt | =-2*zeta*w*v-w^2*x |

I | J | K | |

1 | =IVSOLVE(B6:B7,(t,x,v),{0,12}) | ||

.. | |||

32 |

⇒

Robust Method of Lines with adaptive time step

Multiple regions with discontinuous properties

General boundary conditions

Flexible output formats for plotting transient and snapshot views

$$\frac{\partial u}{\partial t}=k\frac{{\partial}^{2}u}{\partial {x}^{2}},$$

$u\left(0,t\right)=100,$
${u}_{x}(1,t)=0,$
$u\left(x,0\right)=\left[\begin{array}{cc}100& x=0\\ 0& else\end{array}\right.$

A | B | C | D | |

1 | t | k | 1 | |

2 | x | |||

3 | u | =IF(x=0,100,0) | ||

4 | ux | |||

5 | uxx | Left Bc | Right Bc | |
---|---|---|---|---|

6 | du/dt | =k*uxx | =u-100 | =ux |

A | B | C | D | |

8 | =PDSOLVE(B6,B1:B5,C6,D6,{0,1},{0,1}) | |||

.. | ||||

30 |

Seamless integration with Excel Solver or ExceLab Solver

Optimize your model parameters for best fit with experimental data

Estimate differential system parameters

Compute integrals limits

Maximize a constrained dynamic objective with Excel Solver

Dynamic curve fitting

Numerous possibilities

$f\left(x,a,b\right)=\underset{a}{\overset{b}{\int}}1-{x}^{2}+b\cdot dx$

Find $a,b$ such that

$f\left(x,a,b\right)=8.333333$A | B | |

1 | a | 0 |

2 | b | 1 |

3 | integrand | =1-x1^2+b |

4 | integral | =QUADF(B3,X1,a,b) |

5 | constraint | =B4-8.333333 |

A | B | |

7 | =NLSOLVE(B5,(a,b)) | |

8 |

⇒

A | B | |

7 | a | -2 |

8 | b | 3 |

Obtain rapid solutions with minimal effort and simple formulas.

~~No programming~~.Structured direct solution procedure combining ExceLab calculus functions with Excel Solver.

Remarkable convergence and performance illustrated by several worked examples.

Consistent and sometime better results than complex methods See Publications.

Why should you work with us

### Our product is engineered with over two-decades experience in computational calculus.

### Highly-efficient lean solver library smaller than a picture in size!!

### Evaluate freely to see the value and experience the difference for yourself.

We stand behind our product which stands on its own merits.

We help you with fast and effective support from expert staff.

We deliver timely fixes to your issues.

We listen to your needs. Get involved in shaping the next release with features that matter to you.

Featherlight efficient library with one click installation and you are up and running.

State of the art proven algorithms that work. Best default settings yet you have full control with optional arguments.

Get rapid solutions with simple formulas in familiar Excel. Leave tedious coding and expensive complex tools behind.

Share your results workbook with any one who has Excel. Who doesn't !

Flexible licensing plans that suit your needs.

Teach your class with ExceLab

Excel is virtually on every computer. Very easy to learn the basics and use.

Help your students spend their time solving problems, not figuring out how to use complex tools.

Intutive yet powerful differential equations solvers and integrated optimization.

Simplified effective approach to optimal control problems for Engineering and Social Studies.

ExceLab functions at a glance